diff --git "a/data/dm_maths/full_data_2/1486_11255.jsonl" "b/data/dm_maths/full_data_2/1486_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1486_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 765960 is divided by 75?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m\/m**(-8)))\/m)\/m*(m\/(m**3\/m))\/m*m**(-1)\/(m**(-5\/6)\/m))**(-3\/5) assuming m is positive.\nAnswer: m**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8577 - -1?\nAnswer: -8576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5 + 426*b**4 + 1684*b**3 + 2516*b**2 + 1674*b + 418 = 0?\nAnswer: -209, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1594*p**2 - 3. Let r(c) = -3*c - 328. Calculate r(i(l)).\nAnswer: 4782*l**2 - 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -3\/11, 16, -0.48, -0.4.\nAnswer: -0.48, -0.4, -3\/11, 4\/7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122 (base 3) in base 9?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 48 = -2*s, -s - 2*b = -5*b - 34. Let z = s - 13. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) -3\/2 (c) 1\/5 (d) 2\/9 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*6\/((-162)\/(-9))*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2775229 times -1?\nAnswer: 0.2775229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 19089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 497\/6 - 83. Suppose 2*h - 15 = -3*s, -15 = 5*h - h - 3*s. Let z = h + 0. Is z at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x - 41. Let p be t(-10). Let o be 6\/10*5 + p\/(-6). Put 0.1, o, 3, -0.4 in increasing order.\nAnswer: -0.4, o, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/9)*g)\/g)\/g)\/(g*g\/(g*g**17*g*g)) assuming g is positive.\nAnswer: g**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69782 and 50922.\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + g**3 - 3*g**3 + 5.\nAnswer: -2*g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*t + 9272, -16*t - 92528 = -10*c - 18*t. Is c a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-155))\/((-23388)\/(-19490)).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + 0*h**3 + 4*h**5 + (-8*h - 2*h**2 + 8*h)*(0*h**3 - 3*h**3 + 2*h**3) - 3 - 5 + 7 - 4*h**5.\nAnswer: 2*h**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 2. What is a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 - -83. What are the prime factors of (22\/2)\/(f\/(-1898))?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 43 (b) 1\/6 (c) -3 (d) 5\/4 (e) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -52*y**2 + 2445*y**2 - 2369*y**2. Let r(v) = -v - 1. Let u(w) = -9*w**2 - w - 1. Let l(n) = -r(n) + u(n). Determine l(h(m)).\nAnswer: -5184*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -641.2 + 558. Let z = -62.8 + m. Which is the second smallest value? (a) 5 (b) -3\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760690165 to the power of 1\/2, to the nearest integer?\nAnswer: 27581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -4. Let g(s) = -s**4 - s**3 - s**2 + s - 1. Let n(i) = 2*i**5 - 6*i**4 - 2*i**3 - 3*i**2 + 3*i - 3. Let l(c) = y*n(c) + 3*g(c). Factor l(r).\nAnswer: -r**3*(r - 1)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1282 = 4*y - 13*w + 14*w, 3*w = 5*y - 1594. Let b = y + -317. Calculate the highest common factor of 21 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 68, 97, 126?\n\"Answer: 29*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0 - 2. Let c be (-44)\/(y - (-13)\/(-6)). Suppose 3*k = -3*m + 192 - 87, -167 = -5*k - m. What is the highest common factor of k and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 4 + 42\/(-15). What is the closest to -1\/5 in 0.5, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -k + 6*k + 3*h, 32 = 3*k + 5*h. Let u(q) = q**3 - 6*q**2 + 3*q. Let a be u(6). Put a, 5, k, -5 in ascending order.\nAnswer: -5, k, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2596403, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -47\/2. Let x = -11 + 1.5. Let u = 0.5 + x. Is a bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21 + -20 + (-26196999)\/(-1). What is z rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 43*x - 189. Calculate the remainder when 60 is divided by k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1055, 4119, 9229, 16391, 25611, 36895, 50249?\n\"Answer: m**3 + 1017*m**2 + 6*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38957086?\nAnswer: 2, 7, 2782649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)*1 - (-1 + sqrt(11) + 0))**2 - -4*-1*sqrt(1584))*-5.\nAnswer: -60 + 230*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*-2 + 42\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2216*z + 2209*z - 2*o + 38, 4*z + 5*o = 41 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 121*y - 17. Let m = -36 - -29. Let k be o(m). Let p = k + 1385. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -233910.502 to the nearest one hundred.\nAnswer: -233900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9469 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(77)\/sqrt(275)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 255057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21352*f**3*h**2 + 20253*h**2 wrt f?\nAnswer: -64056*f**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -440443 - 210443?\nAnswer: -1201441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -22256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10210033 (base 4) to base 12\nAnswer: -a9a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 324*s**2 + 2025*s + 3078.\nAnswer: -3*(s - 114)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-28 - (-35 - -5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13558954087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 438c7d0?\nAnswer: -438c7d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 134519546?\nAnswer: 1076156368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2099 - 2096. Factor 16\/5 - 4*h**2 - 12\/5*h**l + 4\/5*h**4 + 12\/5*h.\nAnswer: 4*(h - 4)*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i - 11 - 10 + 4*i**2 - 5*i + i**2. What is the hundreds digit of d(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286360853.\nAnswer: 7237, 39569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (-20 - (31 + -33))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 21*l - 52. Let p = -7 + 16. What are the prime factors of f(p)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 divided by 7?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 - 2. Let m be (1 - 60\/63) + (-10)\/30. Let g = -3 + 7. What is the nearest to m in 1, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m - 2 - 1 + 1.\nAnswer: -18*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -5*b**4\/24 + 37*b**3\/6 + 2*b**2 - 7. Let r be x(5). Solve -g = r - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206537 is divided by 108.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**3\/3 + 2*x**2 - 38*x. Let j be -3*(-1)\/2*-2. Determine o(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 602 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92.3 + 0.05.\nAnswer: -92.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1122 - 3?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371704 is divided by 753?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -56, 0.2, -4, 5.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -34960 (b) 2 (c) -4 (d) 2\/19 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.375 (c) 2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 - 3)*(4 - 4 - m) + 3*m - 2*m + 0*m + 3*m - m - m + 0*m - m - 4*m)*(-4 + 8 + 0)*(m - 3 + 3) as z*m + k + t*m**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -505344 by 84.\nAnswer: -6016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 839 = 3*g, 4*g = -y + 226. Suppose 0 = -172*c + 174*c - y. Let k = 106 - c. Solve m - 4 = k*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17 (b) -1\/4 (c) 3020 (d) 2 (e) 1\/3 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -509210, -1018479, -1527748, -2037017?\n\"Answer: -509269*n + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.28, -2, -5, -17.97 in increasing order.\nAnswer: -17.97, -5, -2, 0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + 20 = 0, -35 = -5*j - 3*b. Let m(w) = 2*w - 3. Let t be m(j). Calculate the highest common factor of 20 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16\/127 + -37228\/1143. Let w = t + 98\/3. Let f be (-3)\/(-30)*(30\/4 + -5). Which is the nearest to f? (a) w (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.982 + 1.182. Let f = -24\/11 + 482\/231. Let n = -0.39 - 1.61. Which is the third smallest value? (a) n (b) 2\/5 (c) f (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 265 - 265.0002384. Round c to 6 dps.\nAnswer: -0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000011 (base 2) to base 5.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -29. Let f(o) = 4*o**3 - 9*o**2 - 11*o + 7. Let a(g) = -2*g**3 + 4*g**2 + 5*g - 3. Calculate v*a(p) - 3*f(p).\nAnswer: 2*p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274096309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 16*y + 15*y - 8*y)*(4 - 3 - y**2 + 2*y**2) to the form c*y + r*y**2 + i + w*y**3 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/(-78)*(2 - 56\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o**2 + 20*o - 12. Let v be h(-4). Solve 3*d = -4*y - 4, 0 = -v*d + 9*d + 2*y - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52696 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1\/15) + (-5)\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28.337 <= 42999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5041500453 to the nearest integer?\nAnswer: 1715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((370\/3)\/37)\/((-3)\/(-6)*-5)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*t = -t - 13, 5*o - 4*t + 23 = 0. Let y be o - (0 + -12 + 3). Determine m so that y*m - 5 + 2 + 0 + 12*m**3 + 21*m**2 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/110 + 3200\/4000?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 6 + (-2 + 1 - 1)*(11 + 11 + 0))*(7 + 1 + 1)*(-3*v + 6*v - v).\nAnswer: -846*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3534 less than -33728.319?\nAnswer: -30194.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 8 + -5 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/((q\/(q**(-1\/22)*q*q))\/q)*q\/q**(2\/25) assuming q is positive.\nAnswer: q**(2681\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53\/180 + 2\/45. Let r(c) = -c + 6. Let l be r(3). What is the third smallest value in d, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m**2. Let x(r) = 3*r**2 + 2*r - 7. Let v be x(-3). Let f(k) = 5*k - v*k + 15*k. Calculate f(j(i)).\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**2 - 54*f - 28. Determine s(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69048760.\nAnswer: 2, 5, 11, 23, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/9315 and -16\/57.\nAnswer: 176985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 62371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13631?\nAnswer: 43, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39343*s**2 + 9838*s**2 + 9760*s**2 + 9814*s**2 + 9829*s**2.\nAnswer: -102*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -11) + (1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -15 (c) 16081 (d) 0.072\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 - (6318\/(-351) - 154\/(-2)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 9:15 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/60 and 46\/108281661.\nAnswer: 2165633220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -49. Suppose 44*y = 46*y - q. Is 6 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 520434 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/84 and -5\/184.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-2586048\nAnswer: 258604.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.056 + -53.856. Let y = f - -44. What is y rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 1, m: 1, c: 1, v: 1}. Give prob of sequence vm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttw. Give prob of picking 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 6)*(3 - 2 + 1) - 3 + 2 + 0)*(73*m + 2*m - 43*m).\nAnswer: -160*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 57.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 126, 111?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864 (base 13) to base 14.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.594 + 2.094. What is the closest to 2\/3 in -11, 0.5, j, -0.14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -78*t + 313. Calculate k(-2).\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 17*j = -1455. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/39811 + -10709149\/199055. Let m = 54 + z. Factor -6\/5*r + 9\/5 + m*r**2.\nAnswer: (r - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**5 + 2*z**5 + 8*z**3 - 8*z**3 - 6*z**2 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93660 divided by -3122\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228952612 by 788.\nAnswer: -290549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 14*y**2 - 12*y + 17. Let p be 2\/8 - (-106)\/(-8). What is the remainder when 18 is divided by v(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 2. Let q be 5\/(a\/1 - -2). Suppose 175 = 3*k - q*c + c, 4*k - 3*c - 224 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26.308 at least as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2600 is divided by 863?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/14 <= 998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91327 divided by 4.\nAnswer: 91327\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-6))\/4 + (73964\/(-132))\/(-41)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10*s + 831. Give c(79).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 6:39 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18164, 36237, 54218, 72107, 89904, 107609?\nAnswer: 125222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, -14, 4, -2, 3 in increasing order.\nAnswer: -14, -2, 3, 4, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1.8, -2\/13, 0.3, 2\/7.\nAnswer: -1.8, -2\/13, 2\/7, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.352 - -4.3515928. What is s rounded to 5 decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177098 a multiple of 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*m + 23. Suppose -9*y + 7*y + m = 0. Let k(n) = n**3 - 3*n**2 - n - 3. Let s be k(4). Solve -5*g + s = -4*d, -y*d + 3 = 5*g + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -565.82 - -567. Let n = -1.3086 + p. Round n to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 1231 = 213. What is the remainder when 453 is divided by c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 51*k**2 + 43*k**2 + 17*k - 95*k**2 - 49. Let b be i(13). Solve -12 = -4*j + 5*w + 21, -5*j - b*w - 5 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - 2*b)*(-2*b + 19*b + 2*b)*(-2 + 2 + 2*b**2).\nAnswer: -76*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 160 = -4*x. Let z = 137 - x. What is the highest common divisor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284278792?\nAnswer: 2, 7, 725201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10804777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 11:30 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 7*w**2 + 6*w - 4. Let o be v(6). Let a = -20.82 + -0.18. Let x = -23 - a. What is the smallest value in x, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + o - 14. Let b be q(-9). Let f = b + 988\/5. Find the common denominator of f and (-190)\/8 + (-36)\/24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -769, 40.\nAnswer: -769, -4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002941883 rounded to five decimal places?\nAnswer: 0.00294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**42)\/f)\/f**21 assuming f is positive.\nAnswer: f**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -152.554*-361\nAnswer: 55071.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 - 91*b + 91*b + 36)*(b**2 - 4*b**2 + b**2) as k*b**3 + i*b**2 + q*b**4 + w*b + m and give i.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-925)\/5180*21\/30)\/((-3)\/72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010058821 rounded to 5 decimal places?\nAnswer: -0.01006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 24*p**2 - 36*p + 24. What is the remainder when h(10) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, 1, 7050 in descending order.\nAnswer: 7050, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 6*l - 83. What is v(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1dcb - -2?\nAnswer: -1dc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2)*(-16)\/(-6). Let m = -2 - p. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11315 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70577118 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-35)\/(-10))*(4488\/10780)\/17.\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/7)\/((-7)\/49). Let h(s) = -3*s**3 - 7*s**2 + 3*s - 1. Let k(l) = -7*l**3 - 15*l**2 + 5*l - 3. Let x(v) = f*k(v) - 5*h(v). Calculate x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -22*j - 198 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/(x**(-10)\/x))**(-49) assuming x is positive.\nAnswer: x**(-1127\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 258670\/11?\nAnswer: 258670\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 88*n - 1647. Calculate i(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -32. Let t = 8 - 7. Is t bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l + 6*l**2 - 8*l**2 + 0*l. Let h(r) = r**2 + 3*r + 102. Let f be h(0). Let v(u) = -f*u**2 - 74*u**2 + 141*u**2. What is k(v(c))?\nAnswer: -2450*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v. Let q(x) = -15*x**2 - 9*x + 9. Let o = -53 - -52. Let w(p) = p**2 + p - 1. Let c(b) = o*q(b) - 9*w(b). Calculate c(m(k)).\nAnswer: 216*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 70170 divided by -1\nAnswer: -70170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(75) - (sqrt(432) - sqrt(432)*-3).\nAnswer: -38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/9 (b) -1\/3 (c) 0.2 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193684*c**4 - 241777*c**2 wrt c?\nAnswer: -4648416*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 4:45 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d0 - 1ac2?\nAnswer: -1ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 4323*z + 17340.\nAnswer: -3*(z - 4)*(z + 1445)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -d + 11*d. Let n(z) = -4*z - 5. Let m(p) = -19*p - 25. Let h(s) = -2*m(s) + 11*n(s). Let g(y) = 7*y + 6. Let v(f) = 4*g(f) + 5*h(f). What is v(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-1 - sqrt(76)) + -2)**2 + -1*(-4 + sqrt(76)).\nAnswer: 14*sqrt(19) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-24)*6*(-7)\/189*-3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65.48 + 54.48. What is the closest to -1\/2 in -15\/2, 0.4, 3, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/42)\/((-1210)\/(-1212) + -1). Let v = -299 - n. Calculate the least common multiple of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 202539372\/1195 + -169489. Calculate the common denominator of 61\/4 and n.\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/293?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*t - 130680 = 35*t. What are the prime factors of t?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - -9. Do 33 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 1384904.0642794?\nAnswer: 1384905.0642794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - n**3 - 2*n**3 + (-8*n**3 - 7*n**3 + 53*n**3)*(2 + 1 - 2).\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 4. Let u = -7.04 - -7. Let s = -2.96 + u. Which is the third biggest value? (a) y (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (210\/9)\/2*(13 + -10). Calculate the greatest common factor of w and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*1*7*(-1)\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 282 = -0*k. What is the remainder when k is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250701720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -641.759 - -642. Let k = -4.441 + l. Which is the nearest to 2\/7? (a) k (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85453, -85459, -85467, -85477, -85489, -85503, -85519?\nAnswer: -85537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-42)\/42)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.12664.\nAnswer: 0.050656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 971 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + 2 + 1*sqrt(405)))**2 + 5.\nAnswer: 10130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59.841 and -4.\nAnswer: 239.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4 + (-1 + 7 - 21)) - 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 33*g. Let m(u) = 4*u**2 + 31*u. Determine -5*m(r) - 6*v(r).\nAnswer: -2*r**2 + 43*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 58856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/3 - 124*j\/3 - 3844\/3 = 0. Calculate j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**4 + 2*h**3 + 2*h - 2. Let j = 33 + -30. Let z(i) = -3*i**3 - 3*i + 3. Let k(f) = j*y(f) + 2*z(f). Find t, given that k(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2482*s + 2471*s - 5013*s.\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559834 to the power of 1\/2, to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 658, 2321, 5.\nAnswer: 5, 658, 2321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z. Let h(p) be the third derivative of -p**4\/12 + 11*p**2. Calculate h(n(j)).\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 20775.0999 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1063582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.641791 meters to micrometers.\nAnswer: 5641791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d - 16*d - 460. Let a = -131 - d. What is the highest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1211 = -0*f - f, 2*x - 5*f = 803. Suppose -5*u + 503 = 13*v - 11*v, 4*u - x = -2*v. Calculate the greatest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + 7*u - 2. Let c(s) = 6*s**2 - 21*s + 6. Determine -4*c(f) - 11*y(f).\nAnswer: -2*f**2 + 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 18. Let t(m) = -m**3 - 6*m**2 + 16*m + 7. Let u be t(-8). Let v be w(u). Calculate the common denominator of (11\/12)\/(-11)*v\/(-6) and 55\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6408345 and 39315.\nAnswer: 6408345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 2*p + 5*l + 2127, -4*p = l - 2109. Let s = p + -380. Calculate the greatest common divisor of 185 and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g - 8*g - g)*(2*g**2 - g**2 - 4*g**2).\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5742685 by 17.\nAnswer: 337805","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 + 197. Suppose -4*u = s - 17, -5*u - 5 = -3*s - s. Calculate the least common multiple of b and 5 + -2 + -3 + u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+1269068\nAnswer: 1269064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*w - 2 = -8, -2*w - 12 = -4*j. Suppose -2*c = -j*l - 50, -4*c + 15 = -l - 16. Let m = -9 - l. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13632834.\nAnswer: 2, 3, 1217, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/16 - (-138)\/24. Find the second derivative of -104*v + 184*v**2 - t*v - 245*v**2 wrt v.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p**2 + 12. Let n be k(0). Let u(q) = -q**3 + 12*q**2 + 4. Let v be u(n). Let w(r) = -r + 5. Let z be w(5). Sort v, z, 2 in descending order.\nAnswer: v, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**5 + 2*j**3 + 6*j**2. Let u(y) = -9*y**5 - 3*y**3 - 7*y**2. Let h(a) = -3*l(a) - 2*u(a). Find the third derivative of h(x) wrt x.\nAnswer: -360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1239671077 + 2.43\nAnswer: 1239671079.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4312 - 8970 = 229*a for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 54 = -3*u, g = -u + 5*g - 18. Let b = 392 - 389. Let f be 2\/(-10) + 9\/(-5). Put u, b, f in increasing order.\nAnswer: u, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 9*w**3 + 5*w**4 - 2*w**4 + 5 + 49 - 21*w**2 - 45*w = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -64388*t + 64381*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 16\/23?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5*(-3)\/(-15))\/((-1)\/(-5)). Let z(k) be the first derivative of -2*k**2 + 1\/3*k**3 + k + 4. Give z(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - (-5 + 7) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -45. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 707 + -1214. Let y = f - -3559\/7. Calculate the common denominator of y and 1\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2. Let o(v) = 53888*v**2. Determine o(j(q)).\nAnswer: 215552*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4009, -5, -3, -23, 5 in descending order.\nAnswer: 5, -3, -5, -23, -4009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -186611788, -186611787, -186611786, -186611785?\n\"Answer: x - 186611789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (4\/2 - 267). Suppose -139 - 946 = -5*a. Let y = c + a. What is y rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323598 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -2 (c) -0.042 (d) -3 (e) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-110 + (-2)\/(-2))*(-17 - -16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 > -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a - 2. Let c be l(2). Let g be ((-24)\/10)\/(4\/c). Suppose 2*h + 4 = g. Let d(q) = 11*q**3 + q**2 - q + 1. Give d(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 + s - 3. Calculate the remainder when r(-3) is divided by 4\/((-24)\/11)*-6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4461 and 132.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 7*q + 15. Put -9, 4, -1, q in ascending order.\nAnswer: -9, -1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = -42 + 317. Suppose -3*b - 4*r + 54 = -0*b, 37 = 2*b + 3*r. Calculate the remainder when f is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -104.3 and -0.5.\nAnswer: 52.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35902213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5219*j**3 - 3*j - 4. What is the units digit of p(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223 + -216. Let n(f) = -f**2 + 18*f - 106. Let l be n(k). Put -5, l, 4, -3 in descending order.\nAnswer: 4, -3, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let u(p) = -p**3 + 18*p**2 - p + 24. Let g be u(18). Put g, k, -3 in ascending order.\nAnswer: -3, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 5*w**2 - 8*w + 5. Let c be 8\/2*-2 + 2. Calculate the remainder when 50 is divided by g(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**3 + 261*k**3 - 221*k**3 - 22*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 1. Let s(r) = 3*r + 11. Let k(d) = -2*h(d) - s(d). Let m be k(-9). Solve 3*u + 0 + 3 = m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128940 != 128940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:08 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 308*b - 307*b - 4. What is the nearest to b in -3, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154.813 - -0.187. Let y = -154.9998 + w. What is y rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((-10)\/2)\/(-2 + 1). What is the second smallest value in v, -0.5, 45?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 5. Let l be 5 + -4 + -3 + 8. Let b be n(l). List the prime factors of (b - -15)*7 - 5.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 0*d**2 + 3*d**2. Let k(f) be the second derivative of 0 - 11*f + 1\/6*f**3 + 0*f**2. Determine k(s(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-15))\/(6\/15). Let g be (-6)\/(-4)*-2*u. What is the remainder when -9*(-2 + 30\/g) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35410560 to the nearest 100000.\nAnswer: 35400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 31*k**2 - 11*k**2 - 5*k**2 + 9*k**2.\nAnswer: -38*k**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 4*z + 17. Let j be k(-6). Solve -j*u + 4*u = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148258885 and 1338345?\nAnswer: 1334329965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 102 - 98 = 0. Let i be (20\/v)\/((-1)\/(-15)). What is the third derivative of -6*j**2 + 7*j**3 - j**3 + i*j**3 wrt j?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 11.67044.\nAnswer: 8.67044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(24)\/sqrt(36)) + 0.\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -23*g**2 - 4*g + 6. Let f(k) = -45*k**2 - 9*k + 13. Calculate -3*f(p) + 7*z(p).\nAnswer: -26*p**2 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1995035 or -1995047?\nAnswer: -1995047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 286718 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8)\/(m*m\/m**(-18))*(m\/(m\/(m*m**(-7\/2)))*m)**(3\/32) assuming m is positive.\nAnswer: m**(-1801\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -109*i. Let w(r) = -12*r. What is w(b(a))?\nAnswer: 1308*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 5 (b) -0.9 (c) 1556 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoooaooooo. Give prob of sequence aoo.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k - 96. What is p(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.6 - -5. Let m = -51.058 + 51. Let j = m - 0.442. What is the closest to 0.1 in a, j, 3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**5 - 20*q**4 + 15*q**3 + 50*q**2 - 40*q = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269965 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78537914 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(2 + -4)*176\/55. Let x = p - -22. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/20*10*-3. Let w = 102 - g. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152 - -304. Let g be (-8)\/18 - ((-2)\/6 - 40053\/351). Calculate the highest common divisor of p and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 2, 1, -5, 741, 4, 13 in descending order.\nAnswer: 741, 20, 13, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 39 - 102*a - 186*a - 6 in the form x + q*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 213\/(-24) + (0 - (-5)\/(-40)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**6\/9 - 22*y**5\/45 - y**4\/2 + 14*y**3\/27 + 4*y**2\/3 + 8*y\/9 - 10. Let p(o) = 0. What is o?\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/15)*i**(-1\/4)*(i**(-1)*i)\/i*i**(-8)\/i assuming i is positive.\nAnswer: i**(-623\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**4 + 4*a**4 - 9*a**4 + 6*a**3 - 3*a**5.\nAnswer: -3*a**3*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/7, -2.893127, 0.5 in ascending order.\nAnswer: -3, -2.893127, 3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/3)\/2*-3. Suppose 5*h - 2*n = 18 - m, -3*n + 12 = 5*h. Solve 4*g + h = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -292 + 299 + -2 + 22 + 0 + 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 4:42 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giiigiooioio. What is prob of sequence oogo?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 10*m + 5. Let p be y(-10). Solve 4*c = p*q - 23, -c + 4*c + 2*q = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**3\/6 - 5*q**2\/2 + 8*q. Give r(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-17)*f))\/((f\/f**(-2\/37))\/f*f*f) assuming f is positive.\nAnswer: f**(553\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27137 + 488591\/18. Let a = 4 + -6. What is the common denominator of x and 6\/(a + (-42)\/9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*t**2 + 88*t**4 - 6*t**2 + 74*t - 210*t wrt t.\nAnswer: 1056*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ommtmmbnntmmombmb. Give prob of sequence omnt.\nAnswer: 2\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + 7 - (1 + 5 + 1 - (-35 - -32)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*g + 110*g - 5 - 65*g)*(-5*g + 5*g - g) - 105 + 105 - g**2 as t*g + y*g**2 + z and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1481216456?\nAnswer: 2, 31, 5972647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8*v = -3*v + 2023, -3*m + 3*v = -3012. Let q = 699 - m. Round q to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*w = 325. Suppose -65 = -v - w. Solve v = 4*l + 2 + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c - 4. Let z(m) = m**2 - 8*m + 10. Let f be z(7). Suppose -f*y - 4*b + 37 = 0, -5*b = -y + 4*y - 41. Let v(j) = 8*j + 5. Give y*l(p) + 6*v(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 177109 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**4\/3 - 44*g**3\/3 + 242*g**2 - 15*g - 3. Let r(n) be the first derivative of o(n). Solve r(u) = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 10*u + 42. Let h be l(-14). Put 5, 3, h, -3 in descending order.\nAnswer: 5, 3, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/682020 and -23\/325620.\nAnswer: 137086020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11654396 less than 11654396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 7\/3)\/((-2)\/12). Calculate the greatest common divisor of j and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 a when three letters picked without replacement from {g: 16, a: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*i - 41424357, 0 = 5*r - 4*i + 45584874 - 114625469. Let k = -32408119 + r. Round k to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1160035.\nAnswer: 232007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 5. Let a be s(-1). Suppose a*x = 848 + 3084. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24b (base 16) to base 11\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1518, 30, 2, -5, 5.\nAnswer: -5, 2, 5, 30, 1518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:17 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w = 22*w - 3*g - 3208, 0 = w + g - 1594. What are the prime factors of w?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**7\/210 - 13*p**6\/120 + 19*p**5\/20 - 95*p**4\/24 + 25*p**3\/3 + 5*p**2. Determine w so that l(w) = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 - 156 = 135*z - 339 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8609 + 41388 = -3275*m - 39383 - 8870 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -36\/5, -5, 218, 0.2, -3 in decreasing order.\nAnswer: 218, 2, 0.2, -3, -5, -36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 91*y**2 + 626*y - 181. Calculate z(-37).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 7:43 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -912 divided by -24\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6418 - 6418.101. Let g = 0.3 - 0.299. Let i = q + g. Which is bigger: i or -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/14 + (-24)\/(-16). Let x = -39.09 - -1.09. Let z = -37.8 - x. Which is the third smallest value? (a) w (b) z (c) -5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3510887?\nAnswer: 149, 23563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 36, -330*a = -332*a - 2*m - 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 44. Suppose -c + 0 = -2*d + 4, 5*c + 20 = -r*d. Let h be 2\/((-4)\/24*c). Solve 5*k = 25, 5 = h*p + p + 5*k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1136385 and 7740?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2975831 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/40)\/(66\/48)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 24\/8 - (-1 - -885). Let k = 600 - n. What are the prime factors of k?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, j: 3, g: 3, s: 3, k: 2}. Give prob of sequence ks.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, 1\/6, 24, -3 in decreasing order.\nAnswer: 24, 1\/6, -1\/2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13849 + -13835. Calculate the remainder when (94 - 1)\/(2\/2) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12783 and 430663531?\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 1:41 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 314 = 5*a, 4*n - 16 = -8. Solve a = 8*k + 54 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -682 and -99.\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15004 is divided by 2500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 1, -3, 894, -352 in decreasing order.\nAnswer: 894, 1, -3, -56, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6541198 is divided by 1667.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 233351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + 4*o**2 + 648*o + 2612. Determine x(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 90. Let h = 25 - i. What is the least common multiple of h and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 131, 185, 299, 491, 779?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 1, a: 4, n: 4}. What is prob of sequence fun?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**3 - 3*k**2 + 156*k + 177636?\nAnswer: -6*k**2 - 6*k + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-3)*(-3999)\/62. Let m = 967 - i. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 18069.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5\/3 - 8*l**4\/3 + 8*l**2\/3 + 4*l\/3.\nAnswer: -4*l*(l - 1)*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 418 - 200. Suppose -13*g + 15*g - t = 0. Suppose 4*z = l - g, -2*z + 181 = 2*l - 67. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 - 96019020*m\/7.\nAnswer: -2*m*(m + 48009510)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39183 and 261.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.8 + -11. Let b = -27 - -26. What is the closest to 2 in f, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 6*p**2 - 2*p + 5. Let s be l(-5). Let i be 15\/25 - 34\/s. Let m be (-3)\/(3\/i)*-1. Solve -5*z + z + m = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - -1*(1 - 2 - 2). Suppose 35*f - 32*f + 8 = 4*b, 5*f - b - 15 = r. Solve -3*l + l + 5*g + 28 = 0, f*l + g - 12 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(6) + (2*(sqrt(2) + -1) - sqrt(2))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291782626?\nAnswer: 2, 145891313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*h + 5*z + 107, -4*h = -5*z + 78. Let n be ((-4)\/h)\/(-5 + 4). What is the closest to 0 in 0, 1, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -111, -49, 17, 87, 161?\n\"Answer: 2*w**2 + 56*w - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 14*t + 10.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*d + 58*d - 17500 = 0 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12*l**3 - 4*l**2 - 2*l + 11. Determine y(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-22)\/10)*5. Let a(m) = 7*m + 2 + 0*m + 0 + 2*m**2 - 2*m - 3*m**2. Determine a(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 - 1)*((-204)\/(-24) - 9). Let s(y) = 39*y + 4. Let o(p) = 39*p + 5. Give w*s(x) - 4*o(x).\nAnswer: 39*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/15 + -1 + (-10757)\/(-465) + -2. Solve m = v - 4*b - 0*b, -2*b - 13 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**6\/6 - 912*r**5 - 1386240*r**4 - 52*r - 22. Find a such that z(a) = 0.\nAnswer: -1824, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4381 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -473*l + 191*l + 91*l in the form g + x*l and give x.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 192, -1, 1, 12 in descending order.\nAnswer: 192, 12, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99869 is divided by 3423?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 1\/31 (c) 336 (d) -2\/9 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 230674, 461341, 692008, 922675?\n\"Answer: 230667*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38608783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 5*p**2 - 8*p - 9. Let l be b(-6). Suppose 3*n = 2*n + l. Find the first derivative of v**n + 0*v**3 + 5 - 2 wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325130 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-59)\/(-177))\/(2\/54) + 3164.\nAnswer: 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l + 3. Let h(t) = 21*t + 13. Let v(j) = -2*h(j) + 9*r(j). What is v(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835)*-5)\/sqrt(5) + (sqrt(77)\/(-1*sqrt(1100)))**2.\nAnswer: -45*sqrt(7) + 7\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5 - 5) + (-2 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 8 = -6*r. Suppose 0*g - r*o - 43 = -2*g, 5*o = -5*g + 45. Calculate the remainder when 53 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and -5 + (12\/(-10))\/(36\/(-1350)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89115\/4? (a) -2\/3 (b) 1\/2 (c) 3 (d) -0.5 (e) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -30) + (-57 - (12 - 5))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 - 109 = -4*j. Let n be (j\/(-30))\/((-2)\/(-4)). Let g = n - 1. Solve -g*h + 3*u - 22 = -u, 3*h + 23 = 4*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - -0.7. Let n = y - 2.7. Which is the nearest to 2? (a) 2\/7 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1353, 1346, 1339?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, 458, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 5988371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is bc8 (base 13) in base 10?\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12707.\nAnswer: 97, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from xxxaaxqc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 79625*t**2 - 79625*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 366356756?\nAnswer: 366356761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-217)\/(-31))\/(-595)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-7 - -6) - 0) + -3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -10 - 2*b**2 - 5 + 10 + 309*b + 0 - 315*b. Let o(x) = -5*x**2 - 13*x - 11. Suppose 4*v = -2*r, 2*v - 3*v = -r - 6. Determine r*o(q) + 9*z(q).\nAnswer: 2*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3640*y + 8409*y + 2619*y + 334*y in the form n*y + l and give n.\nAnswer: 15002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -618 + -300. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10991 divided by 12\nAnswer: -10991\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*m + 58*m + 58*m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2147 is divided by 852.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5 - 2532*c**4 - 15118*c**3 + 2532*c**2 + 15120*c = 0.\nAnswer: -1260, -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/30*5805\/86*-2. Factor -f - 1\/6*j**5 - 45*j**2 - 5\/2*j**4 - 135\/2*j - 15*j**3.\nAnswer: -(j + 3)**5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 90*b**2 - 1780*b - 409. Calculate i(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -129 + u**2 + 42*u**3 + 2*u + 13*u**3 + 126. What is the tens digit of j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5029 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**4\/8 + 61*h**3\/2 - 14133*h**2\/8 - 45875*h\/4 - 15625 = 0?\nAnswer: -4, -2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 5, -4, -97 in ascending order.\nAnswer: -97, -12, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.65 - -27. Let v = 13.65 + m. Let l = -88.1 + 88.1. Which is the third biggest value? (a) v (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3112*i - 1971 with respect to i.\nAnswer: -3112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/117 - 67\/13 - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 u when three letters picked without replacement from uhphhuuuhgypyy.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**3 + 2*c + 1. Let a be f(-1). Let t(h) = -h**3 + 3*h. Let k(v) = -2*v**3 + 2*v. What is a*k(b) - 2*t(b)?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9136.096ng in grams?\nAnswer: 0.000009136096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*(2 - 18\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89b2b (base 12) in base 15?\nAnswer: 3938e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -241*d - 2. Let h(r) = 54*r**2. Calculate h(w(n)).\nAnswer: 3136374*n**2 + 52056*n + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -557 + 556.9. Which is the nearest to 2\/3? (a) -1\/9 (b) 16 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 533065, -3 in descending order.\nAnswer: 533065, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6942706*j + 6286784 wrt j.\nAnswer: -6942706","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 399 divided by -57\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 931, 3984, 9073, 16198, 25359?\n\"Answer: 1018*f**2 - f - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107590034 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 18*g. Let r = -130 - -218. Let y(a) = r - 3*a**2 + 7*a**2 - 88. Give q(y(m)).\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17840\/777 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185*w**3 - 6*w + 8*w + 0*w - 4*w + 0*w - 104 wrt w?\nAnswer: -1110*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(2*r - 1 + 1) - 45131*r - 45458*r + 94389*r.\nAnswer: 3794*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.47 less than 0.01161794?\nAnswer: -222.45838206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 161*j**2 - 161*j**2 - 24*j**5 - 3*j**5 + 0*j**5 + 4*j**5 + (0*j**5 - j**5 + 0*j**5)*(-2 + 3 - 2) - j**5 - 2*j**5 + 4*j**5 + 4*j - 2*j**5 - 4*j.\nAnswer: -23*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 3 + (-2 - 17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 + 0*v**2 + 0*v**2. Let c(p) = 3*p. Calculate a(c(l)).\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 115.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936 (base 11) to base 5.\nAnswer: 14003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201 and 58893.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-24)\/(-9 - -9 - 2) and 1238.\nAnswer: 7428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/((-21)\/6))\/(2 + -3). Suppose 44 = u + w*u + 5*c, 2 = -u - 5*c. Solve q + a - u = -3*a, q = 4*a - 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 32*v**5\/7 + 9488*v**4\/7 - 14334*v**3\/7 - 8944*v**2\/7 - 1192*v\/7 = 0?\nAnswer: -298, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-7675.5\nAnswer: -767.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024153169661 to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96.6 - 97. Let v = -0.11 + 0.61. Which is the third smallest value? (a) v (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2468 and 148697.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 9*l**4\/20 - 161*l**3\/5 + 6399*l**2\/10 + 2187*l\/5 + 385. Find r such that o(r) = 0.\nAnswer: -1\/3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((330\/(-40))\/(-33))\/((-2)\/14). Which is the fourth smallest value? (a) w (b) 5 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.02, 4, -16, 0.6, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 388, 328, 162, -164, -704, -1512, -2642, -4148?\n\"Answer: -9*r**3 + r**2 + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(209)*6 - sqrt(209))\/sqrt(11).\nAnswer: 5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5899956.\nAnswer: 2, 3, 19, 113, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304445 (base 13) in base 15?\nAnswer: -7c8059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + -65. Let a = v + -27.3. Round a to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 4*c - 3*l, 68 = -2*c - 8*l + 3*l. Let y be (0 - 6)*105\/(-30). Let g = y - c. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18863 is divided by 393?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**3 + 11*r**2 + 11*r + 11. Let x(o) = -6*o + o**3 + 8*o**2 - 8*o**2 - 6*o**2 - 6 - 3*o**3. Calculate 11*x(j) + 6*z(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 369*v**2 - 10*v - 179*v**2 - 185*v**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 267923 - 132702. Suppose -w - w - 3*f + 54095 = 0, 5*w + 2*f - o = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*(b**(-2\/81)\/b)\/b))\/b)\/(b*b**7*b)*((b*b**(-5\/4)*b)\/b)\/(b\/(b*b*(b\/(b**6\/b))\/b*b)*b) assuming b is positive.\nAnswer: b**(-4285\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/5)\/((-9)\/(-30)). Let c(q) = -4*q - 1. Let m be c(v). Let x = -19 + m. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1122021000?\nAnswer: -1122021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - (-31 + 10) - (-1 + -5)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from ppywwwmpmppppo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 - ((-216 - -224) + 0 + 1 + 1).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 5, 34, 6, 3, -433 in increasing order.\nAnswer: -433, 1, 3, 4, 5, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-3))\/((-15)\/(-45)). Solve -1 = -t, 8 = s + g*t - t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 8. Suppose -5*o = -4*n + 31, o + 0*n - n = -7. Let a(q) = 2*q + 6. Let b be a(o). Determine x(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4018363 is divided by 574051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*w + 462*w + 112493 = -1235*w for w.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*m = -180. What is the greatest common factor of 30 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c - 18. Let m be a(-7). Solve -5*k = -25, k - 4*k + 21 = -m*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000050764511 to six decimal places.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6. Suppose y = 4*k + 4*l + 36, 5*l + 0*l = -k - 17. Let r(d) = -d**2 - 7*d + 9. Calculate the remainder when r(k) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*j, 4*d + 4*j + 14 = 6*j. Let p be (243\/44)\/d + 2. Let c = -1\/11 - p. Sort 0.3, -0.2, c in descending order.\nAnswer: 0.3, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17705\/4 - -4476. Let b = m - 65\/2. Find the common denominator of b and 119\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110 (base 2) in base 13?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 61836 and 61836 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 127. Suppose b = -b + z. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-120)*10*(167 + -299).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -67.4, -19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8539 - 40549\nAnswer: -32010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106106.979 + -106161. Let q = -130 + 76. Let v = f - q. What is v rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-5 - -1))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3612102 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/92)\/((-16)\/((-320)\/15))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3596*m**4 - 1464*m**3*r**2 + r**2 + 272*r + 219 wrt m?\nAnswer: -14384*m**3 - 4392*m**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162486 is divided by 23210?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -68955?\nAnswer: -46\/68955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 y when three letters picked without replacement from {y: 4, a: 2, t: 12, u: 2}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlsmy. What is prob of sequence jl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/120 and -149\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*a - 24, -2*a + 3*a = 3*h + 16. Put 4, h, 5 in descending order.\nAnswer: 5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-4 - (-153)\/34). Put 10, r, 3, 2, -3 in descending order.\nAnswer: 10, 3, 2, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 9740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 + 3604*m\/7 - 3602\/7.\nAnswer: -2*(m - 1801)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -g - 5*u, 3*u = -5*g - u + 24. Suppose -60 - 36 = -g*d. Suppose -l + d = l. Which is smaller: 10 or l?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - o**2 + 2*o + 1. Let z be s(2). Let i = 3277 - 3276. Sort z, i, -4, 3 in ascending order.\nAnswer: z, -4, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 + -316\nAnswer: -315.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29114713 - -0.4.\nAnswer: -29114712.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(931)*2 - (sqrt(931)*-2 + 1)) + (sqrt(931) + 0 + -5 - sqrt(931)) + sqrt(931) + (sqrt(931) - -1*sqrt(931))*4)**2.\nAnswer: -420*sqrt(19) + 23311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 plus 659507224.69?\nAnswer: 659507232.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.4 + -46. Let j = r + 2.6. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2730866470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -5. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/107 - -253\/1391. What is the fourth smallest value in 25, 4, -5, i?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 4 - n**2 + 0*n + 0*n**3 - 5\/4*n**4. Find the second derivative of q(c) wrt c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 778 + -769. Solve -4*h - 14 = -2*c + 3*c, -h = 3*c + i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550501436 a multiple of 2266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**22*c**9*c assuming c is positive.\nAnswer: c**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4056 and 1018109742.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*k - 236*k - 65*k as c + z*k and give z.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 83342 - 2?\nAnswer: 83340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10211905 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*g - 34*g - 81 - 44 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + -5 + 1 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:17 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 1370*t + 93845.\nAnswer: 5*(t - 137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 - 105. Which is the closest to -1? (a) o (b) 4\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 t when four letters picked without replacement from tttiyitbiiytky?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.046, 48, -0.2?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7168*a**3 + 2412*a**3 + 2329*a**3 + 2422*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1084*z + 14053. Let c be m(-24). Is c at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139752?\nAnswer: 2, 142469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/((-3900)\/625 + 6)*(-32)\/60?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/(-70) - 18\/(-5)) + -4. Let a = -1 - u. Let y be (a - -1)\/(1 + (4 - 2)). Solve y = 2*k + 4*l - 3*l - 1, k + 2*l = 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 150*a + 2. Let m = -60 + 34. Let g = m - -27. Let i be o(g). What is the greatest common factor of i and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 584*h**5 + 508*h + 2 wrt h.\nAnswer: 11680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/43, -0.4, 5, 2\/31, -3\/8, -3 in decreasing order.\nAnswer: 5, 26\/43, 2\/31, -3\/8, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375408 and 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 188280612 a multiple of 1053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627*j**3 - 75*j**3 + 1166*j**3 + 454*j**3 + 1 - 1.\nAnswer: 2172*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/15)*r*r*r**(-43)\/r)\/(r*r*r*r**(-4))**(-2\/15))**(-50) assuming r is positive.\nAnswer: r**2100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 1195712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 6:39 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4056416 and 92336.\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 5 - 22 - (-41 + 31).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*j - 6 = -0*n, 0 = -5*j + 15. Let q be 4\/9 - 2\/n. What is the second biggest value in 3, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -380c4 - -2?\nAnswer: -380c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11*i**2 - 5*i - 12. Let u(g) = 12*g**2 - 4*g - 12. Let a(r) = 4*q(r) - 5*u(r). Differentiate a(x) wrt x.\nAnswer: -32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**30*(c*c**(-4)*c)**(-3) assuming c is positive.\nAnswer: c**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**0*d\/(d**(1\/3)\/d)*d*(d**2*d*d)\/d*d assuming d is positive.\nAnswer: d**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3544148 is divided by 152.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, -1, 3, 4, -13 in decreasing order.\nAnswer: 4, 3, -1, -13, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asaufks. Give prob of picking 1 k and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l - 9. What is r(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 154 = 2*d + 2*d, -w + 2*d + 26 = 0. Let l be -2 + 3 + w\/(-30). Let i = 119 + -118.8. Which is the closest to 2? (a) l (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/4)*y*y\/(y*y**(-4)))**(1\/11)\/((y\/((y*y**(-1\/9))\/y))\/(y*y**(5\/3)\/y)*(y*y\/y**(-3))\/(y*y**(-1\/4)\/y*y)) assuming y is positive.\nAnswer: y**(-332\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36340 - -36340.1. Which is the closest to p? (a) -0.3 (b) -606 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(833) + (-6*2*sqrt(17) - sqrt(17)))**2 + -6*((sqrt(2448) + -2 - sqrt(2448)) + -3)**2.\nAnswer: -36*sqrt(17) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let b(u) = -3*u - 903. Let j(c) = c + 301. Let v(w) = -3*b(w) - 8*j(w). Is v(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74979308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2819 and -59\/44?\nAnswer: 124036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570*o + 11044 = 5*v + 573*o, -2*o + 4416 = 2*v. Is 26 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48480779?\nAnswer: 29, 1039, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13962.6 - -13963. Which is the fourth biggest value? (a) 73 (b) 4\/5 (c) o (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2344 is divided by 1168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -58*s - 50. Let g be m(-6). Let x = g + -140. List the prime factors of 52\/(-39) + (x\/(-6))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1150623.\nAnswer: -5753115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1454*f - 1456*f - 1381 = -107*t, 6809 = -3*t + 4*f + 6828 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50342?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1192636*m**4 + 5766114?\nAnswer: 4770544*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*s - 7. Suppose -3*w - 4*k + 1 = 0, -3*w - 2*k - k = -s. Let d = 11 + -16. Let t(a) = a + 7. Let i(m) = m + 5. Calculate d*t(b) + w*i(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*c*h**3 - 2*c*h**2 + 2*c*h - 3*c + h wrt h.\nAnswer: 156*c*h - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**8*f))\/((f\/(f**0*f))\/f) assuming f is positive.\nAnswer: f**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(9\/5))\/(1\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 449982940*n**5 - 412873533*n?\nAnswer: 8999658800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 4*o**2 + o - 10. Let r be n(3). Solve 0 = t - r*l + 7, 7*l = -2*t + 4*l + 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36009*r**2 + 6956*r wrt r?\nAnswer: -72018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 6*v - 9*v + (4*v + v - 4*v)*(3 - 6 + 1) - 5 + v + 2*v - 5*v.\nAnswer: -16*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7c2bd0 (base 16) to base 5\nAnswer: -4040401210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37044431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 3*w + 4. Let t be p(-4). Suppose t = -a - 2*z - 11, 5*z - 6 + 21 = 0. Is -5 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7 = 19, -2*q + 13 = i. Suppose 2*f + 6 = i*m, -5*f + 4*m = m - 4. What is the units digit of f\/(-14) - (-591)\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 6*m + 27. What is the lowest common multiple of m*4\/6 + 5 + -1 and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 1:03 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213851414 = 11*x - 20448586. Round x to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*x**3 - 4295*x - 110*x**3 + 871*x.\nAnswer: 2*x**3 - 3424*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9092.86 times -5\nAnswer: -45464.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d. Let z(x) = 6*x + 5. Let l(g) = -7*g - 6. Let t(s) = 5*l(s) + 6*z(s). Calculate b(t(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -500 + 11502\/23. What is the closest to 0.1 in m, 1, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (3 - -5) - -12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 17*a - 148023. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 1. Let u(j) = -2*j**2 - 13*j - 5. Let y be u(-6). Let h(b) = b**3 - 4*b**2 + 2*b - 2. Determine y*h(p) + 4*s(p).\nAnswer: p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -36.9845 times -256\nAnswer: 9468.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(14)\/sqrt(2) + -4 + sqrt(7)*1.\nAnswer: -6 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-6)\/6*-14).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvxvwwwvvvxvxa. Give prob of picking 1 a, 2 x, and 1 w.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48938858, 97877718, 146816578, 195755438, 244694298, 293633158?\n\"Answer: 48938860*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281626?\nAnswer: 2, 140813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*r - 1\/3*r**2 + 2\/3 = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u*u\/((u**(5\/3)\/u)\/u))\/u))**(-6\/7)*(u**(2\/17)*u)\/u*u*u**(-5\/4))**(-11) assuming u is positive.\nAnswer: u**(3685\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -5*b**9\/63 + b**5\/12 - 7*b**3\/6 - 107*b**2. What is the third derivative of s(h) wrt h?\nAnswer: -4800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 24 + 4. Suppose 7*r - 18 = z*r. Is r\/8 + (-18137)\/(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 11*s**3 + 1 + 0*s**3. What is the units digit of r(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*a - 102, -3*w + 81 = 6*a - 4*a. Suppose -3*u - 4*b = u - a, -11 = u - 4*b. Solve 0 = -4*k - k + 15, 22 = -u*r - k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 37 = -35*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*f + 4*f**3 + 3*f**2 - 920*f + 464*f - 3*f**2.\nAnswer: 4*f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.1 + 2.9. Let o = g + 16.2. Which is the third smallest value? (a) -2 (b) o (c) 4\/11 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -688 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816 + 3*d - 816.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t. Let r(s) = -877*s. Give r(p(g)).\nAnswer: 2631*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/2293009 and 53\/3.\nAnswer: 6879027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/90 and -43\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34941, 69874, 104797, 139704, 174589, 209446, 244269, 279052?\nAnswer: 313789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4*k - 24, 346*y - 4*k = 341*y + 29 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 19. Give i(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 845200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -618775, -618776, -618777, -618778, -618779, -618780?\nAnswer: -618781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-23)\/(-4) + 6. Which is smaller: 0.057 or w?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 135 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o + 3*o - 7*o + 2. Let a(z) = 7. Let r(d) = d + 63. Let l(s) = -18*a(s) + 2*r(s). Give l(f(p)).\nAnswer: -18*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -249 (base 15) to base 3\nAnswer: -201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4901 - -4911. Let f(i) be the second derivative of 1\/10*i**5 + 0*i**2 + 1\/90*i**6 + 2\/9*i**3 + 0 + 1\/4*i**4 + v*i. Solve f(k) = 0 for k.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*y - 26 + 22 - 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3154 divide 96335240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021480014 a multiple of 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, -225, -809, -1615, -2637, -3869?\nAnswer: -5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47453 + 740*t - 47453 + (1 + 3 - 1)*(-4 + 4 + t + (0 - 2 + 4)*(0*t + 0*t - t)).\nAnswer: 737*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 6*v + 3*v - 2 - 4*v. What is the units digit of f(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekv when three letters picked without replacement from kkvveevkkeeeveke.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1351203 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 794327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002113 to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3686 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 16*o**2 - 954*o - 11880. What is m(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/18002303 and -32\/162020727.\nAnswer: 162020727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 10*z. Calculate w(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = r + 6*d - 1, 2*d = 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1678*w**2 + w - 8. Let z be i(-7). Let v = -5919017\/72 + z. Calculate the common denominator of v and 71\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -75. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 31185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*h + 6. Suppose 19 + 4 = 4*t - h*c, t - 4*c = 22. Solve -t + 7 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2339219*w = -2339307*w - 8624 for w.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212697.45 hours to days.\nAnswer: 8862.39375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 43912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 86, -1\/9 in ascending order.\nAnswer: -1\/9, 6, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 25. Let t = -46 - -42. Put l, t, -2\/3 in ascending order.\nAnswer: t, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.1371374 - 0.02707.\nAnswer: 15.1100674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**4 - 228*q**3 - q**4 - 112*q - 2*q**2 + 3*q**4 - 34*q wrt q?\nAnswer: -24*q - 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18821900 to the nearest integer?\nAnswer: 4338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247947 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -16*(-9)\/108 + 2\/(-6). Which is the closest to v? (a) -32 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10200 + 13112100?\nAnswer: 13101300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 212701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 9. Suppose -3*x = -s*x - 99. Round x to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 7, -6 in increasing order.\nAnswer: -6, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 2:49 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (7 + (-13 - -1) + -1). Let j(h) be the first derivative of 3\/2*h**4 + 0*h - 3 + 0*h**2 - f*h**3. Find the third derivative of j(p) wrt p.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/32*-4)\/(54\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723028?\nAnswer: 2, 71, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - 4 - -23) + -17.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 162107 + 1455.2?\nAnswer: 163562.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 2:26 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + (-8225)\/(-700). Calculate the highest common factor of k and 972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 57. Suppose 0*u + 5*u = -5*d + 45, 5*u + 2*d - 39 = 0. Let n = u + x. Calculate the greatest common factor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132*a**2 + 36*a**2 - 7*a**5 - 252*a**2 + 4*a**5 - 10*a**3 - a**5 + 4 wrt a.\nAnswer: -240*a**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/11*(20\/(-8) + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1362*p + 190. Let n(y) = -86*y. Determine n(t(k)).\nAnswer: -117132*k - 16340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -620\/37 at most as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 29, 42, 59, 80, 105, 134?\n\"Answer: 2*m**2 + 3*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-5\/3)\/((n*(n*n**10*n)\/n)\/n**(2\/13)) assuming n is positive.\nAnswer: n**(-332\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y - 73. Let m(n) = n. Let o(x) = -j(x) + 2*m(x). Let h be o(23). Suppose -g + 4 = 2*c, 3*g = 5*g - h*c - 40. Let b(a) = a - 16. Calculate b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 - 8 - (5 + 99)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2025\/486)\/((-1)\/(-18)). Is u greater than or equal to 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1000561 <= -1000561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**2 - 16. Let v(b) = 2*b**2 + 4. Let p(x) = -4*v(x) - z(x). Let w(g) = 8*g - 1. Give p(w(i)).\nAnswer: -64*i**2 + 16*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*r**2 - 9*r**3 - 46*r**2 + 22*r**2 - 11 wrt r?\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 21. Let o = -144 - -146. Calculate the greatest common factor of c and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 714, 716, 718, 720?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*f + 16, 2 - 12 = -5*z. Let s(h) = -60*h**f + 31*h**2 + 22*h**2. Let b(j) = 3*j. Determine s(b(v)).\nAnswer: -63*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - -4654046?\nAnswer: 4654101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2. Let o = -3 - 3. Let n be (-18)\/15*5\/(-2). Let u(r) = -r**2 + 6*r**2 - n*r**2. Calculate o*u(q) + 11*m(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.329302 less than 0.2?\nAnswer: -0.129302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50222570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 210, 465, 822?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 41, 38, 35, 32, 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 47 = 4*s, 2*s + 4*p + 4902 = 4936 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42805589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k**4 + 0*k)*(113 - 113 + 11*k)*(0 + 0 - 2).\nAnswer: -44*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 329 - 82. What are the prime factors of g?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.2964 grams to kilograms.\nAnswer: 0.0342964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/63*18\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -3*g**6\/4 + 67*g**5\/20 + 134*g**2. Find the third derivative of o(b) wrt b.\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 34332 = -18*r. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8981.37 rounded to the nearest one hundred?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14859c2c + -3?\nAnswer: -14859c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 326*q**2 + 162. Let w(b) = -2*b. What is w(x(k))?\nAnswer: -1304*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 44, 4, -6, 480, 1 in descending order.\nAnswer: 480, 44, 4, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 952 - -2365. Calculate the greatest common factor of 31 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 2*b**2 + 2*b - 4. What is w(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90312 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x - 14*l = 35*x + 71, 0 = -3*x - 2*l + 1. Solve 6*n - 4*n + 3*h + 11 = 0, 0 = -x*n - 5*h - 19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-7) - (-40)\/189)*(-3420)\/285. Factor 0*r**3 + 0 + 0*r - d*r**2 + 2\/9*r**4.\nAnswer: 2*r**2*(r - 2)*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**8\/4032 - i**7\/144 - 5*i**6\/72 + 3*i**5\/2 + 20*i**2. Let r(q) be the third derivative of x(q). Factor r(k).\nAnswer: -5*(k + 2)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7042157 months in millennia?\nAnswer: 0.000142017975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 53.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*v - 226089, 3*y - 232*v + 236*v = 135645. What are the prime factors of y?\nAnswer: 3, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r + 6. Suppose -49 + 67 = 3*v. Let a(u) = 6*u - 7. Give v*a(o) + 7*c(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -173*v**4\/8 - 821*v**3\/2 - 29*v**2 - 13. What is the first derivative of g(h) wrt h?\nAnswer: -519","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 6*t - 2. Let b be y(-9). Suppose 0 = -r + b + 16. What is the tens digit of -1 + 0 + (r - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7423532 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 8 - 67*m + 0 + (-1 + m + 1)*(-3 + 4 + 0) - 4*m + 4*m + 2*m.\nAnswer: -64*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1843*k + 46983 = 69490 + 108346 for k.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 43\/10 (b) -2618 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/4 - 213*m**2\/2 - 429*m\/4 + 427\/2 = 0. What is m?\nAnswer: -2, 1, 427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34976?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10097.\nAnswer: 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let d be (-1)\/16*-4 - 21\/(-12). Let y(i) be the third derivative of 0 + 0*i + 0*i**3 + 3*i**d - 1\/8*i**4. What is m(y(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -46*c**3 + 27*c + 102*c**3 - 8*c**2 + 13*c + 7 - 52*c**3. Is x(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1800 and 59\/702.\nAnswer: 70200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106 + 106 - 12*r)*(2 + 1 - 4 + (-2 - 1 + 1)*(2 + 0 - 3))*(2 + 4 - 5).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {j: 2, w: 1, i: 4, v: 3, g: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -13*u - 49. Determine i(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*t + 1144 = -116*t. What are the prime factors of t?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2486 + 12429\/5. Which is the third smallest value? (a) -1 (b) r (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 25 = -5*g, g - 10 = -4*c - 0*c. Suppose c*p + 80 = 4*p. Suppose -p - 80 = -8*t. What is t rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(68\/(-36)) - (-2 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 18*t - 8. Let s be h(9). Which is smaller: s or -7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7*c**3 - 1 - 1.\nAnswer: -7*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m + 5*r - 180, 3*r - 229 = -4*m. Suppose 6 = 5*y - 2*f + 64, -5*f = -5*y - m. Let i be (-4)\/(-6) + 11\/y. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -1533646.40845.\nAnswer: -1533646.20845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 459?\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 44*s + 132 = -42*s, 12 = -3*s. What is the smallest common multiple of 154 and g?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -930, -935, -940, -945?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (434\/248)\/(84\/576).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v - 8 = 0. Is -11*v*5\/(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85200 divided by -3\nAnswer: -28400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 316230 a multiple of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.05*1.352.\nAnswer: 4.1236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 158293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/((-2)\/(-15)). Suppose x - 1 = -2*j + n, -22 = -x + 2*j. Suppose 2*p - 48 = -x. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 3, -3*h - 10 = -4*i + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3 - 164*a - 2*a**4 - 9924*a**5 - a**3 + 9839*a**5 - 2*a**3 + 7 wrt a.\nAnswer: -1700*a**3 - 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1409*-1.81\nAnswer: -2550.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1660 - -3179\/2. Let x = -70 - v. What is the closest to -2\/5 in -7, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34 + 0.2829. Round j to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87616 to the power of 1\/2, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 2:38 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 47*z**3 + 2*z**2 - z + 1. Let m(g) = -g**2 - g + 1. Let x(y) = m(y) - q(y). What is the third derivative of x(o) wrt o?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*10\/(-1575)*(-35)\/(-14).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 + 54. Let g be (-4)\/(-4)*z - -4. Factor 0 - 1\/4*v**g + 1\/2*v + 1\/4*v**2.\nAnswer: -v*(v - 2)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 59, 99, 147, 203, 267?\n\"Answer: 4*s**2 + 20*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 + 2*k**3)*(2 - 1 - 4).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and 1.2.\nAnswer: 73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*u - 15 - 284*u - 376*u)*(0*u - u**4 + 0*u).\nAnswer: 557*u**5 + 15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27927 is divided by 6834.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20577*h**3\/4 + 48735*h**2\/2 + 38475*h + 20250 = 0.\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-2)\/11*1*-4. Is d bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6288)\/69561*(45\/40)\/(-9)\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 + 6 = 0. Suppose 0 = -3*k - 4 - 8, -10 = p + 3*k. Let w(y) = -y**2 - 6 - 2*y**2 - 3*y**2 + 8 - p*y - y**3. Give w(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - 0 - (156 - 171)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-3 + 74692\/24900). What is k rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k - 7. Let f be u(3). Let x be 0 + -1 - (8 + -15). Let p be (x\/(-7))\/(9\/(-42)). Solve f = p*n - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfd when three letters picked without replacement from {d: 1, j: 2, f: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-11 - -6) + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 31*p + 76. Let q be t(34). Let y = q + -95. Calculate the remainder when y is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -5.78\nAnswer: -5.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427\/488*6\/(-21).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 117395\/3 = 39131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*a - 13, 4*q - 3*a = -0*a + 5. Let d(m) = m**3 + 2 - 4*m**2 - 1 + 2*m**2 + 2*m. Let b be d(q). Solve -2*y = r + 9, b*y + 10*r + 20 = 5*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -7. Let d = 14 + x. What is the closest to 1 in -1, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2 (c) 1\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v + 6 = 54*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-45) - ((-1846)\/426 - 52788\/(-12330))?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 6. Let t(y) = 4*y**2 + 0*y**2 - k*y**2. Let n(a) = a**2 + 4. Let b(r) = r**2 + 5. Let c(z) = 4*b(z) - 5*n(z). Give t(c(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*g - 9 = 14, 0 = -5*g + 25. Let i be 10\/4*(-1 + o). Let v be 6\/(-4)*3\/9. Which is the second biggest value? (a) v (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/14*(-28)\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/19607297 or 1?\nAnswer: 7\/19607297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3626 is divided by 360?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k**(3\/10)\/k*k)\/k)\/k))\/k)\/(k*k**(-4\/7)*k) assuming k is positive.\nAnswer: k**(19\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20785 by 2982.\nAnswer: -20785\/2982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**9\/20160 + a**8\/6720 - 43*a**5\/60 + a**4\/12 - 35*a**2. Let u(z) be the third derivative of p(z). Factor u(d).\nAnswer: 3*d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 3. What is the second derivative of -2*j + j**5 + 5*j - 3*j**w wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/33*(-2179)\/(-28). Let g = -9\/154 + d. Calculate the common denominator of g and (-75)\/72 - 2 - 39\/(-104)*4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1111056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 7:58 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Find the second derivative of 3*f**3 + 64 - 64 - d*f wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -35. Sort 0.4, m, -2\/13.\nAnswer: m, -2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t + 385 - 939 + 485 = 0. Let y(d) = 9*d**3 - d**2 + d - 3. Let b(v) = -v**3 - v + 1. Calculate t*b(j) + y(j).\nAnswer: 6*j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.63 + 0.672. Let q = 6.65 - 6.95. What is the biggest value in 4, m, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2))**(-2\/55)\/(((r*(r*r\/(r*r\/(r*r\/r**(2\/9))*r*r))\/r)\/r)\/r**(-1\/4)))\/((r**(2\/17)\/r**3)\/(r**(2\/3))**(-4\/5)) assuming r is positive.\nAnswer: r**(111181\/33660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 1. Let d be k(-4). Suppose -r + 3*r = 10. Suppose -r*x - d*g + 80 = 0, -53 = -3*x - g - 5. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134600 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4679684680 to the nearest one hundred thousand.\nAnswer: 4679700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1 + 9*q - 5*q**2 + q**3 - 3*q**2 - 16 - 4*q. Let o = 15 + -1. What is the remainder when g(8) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v - 111*v + 840 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 10*z. Let x be n(-7). Let b = -3 + x. What is the remainder when 35 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 102*c - 1. Let x be ((-77)\/(-14) - (-2)\/(-4)) + 2. Is w(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.234 decades in months?\nAnswer: 2788.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*w + 20 = 0, s - 92*w = -91*w + 5. Calculate the remainder when 166 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = -d. Suppose -k - d*k + 60 = 0. Suppose 2*l + k = -3*l, -3*s - 5*l + 1 = 0. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f = 2 - 47 - 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2738442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 2*r - 2*r)*(r + 2*r + 2*r)*(2 + 0 - 1) + r**2 - 4*r**2 + 4*r**2 + (-4 + 3 + 3)*(-2*r**2 + 4*r**2 - r**2) in the form h*r + s*r**2 + w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82426120?\nAnswer: 2, 5, 7, 29, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -328? (a) -72 (b) -1\/5 (c) 0.3 (d) 1\/14 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*u - 5*u. Let q = 56 + u. Let n(z) = z**3 + 16*z**2 + 38*z + 135. Let p be n(-13). Calculate the highest common divisor of q and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + 0 + 0 + (-7*d + d + 2*d)*(-2*d + 1 - 1) - d**2 + 3 - 3 + 2*d**2 - 2 + 2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -624, -5\/2, -27, 0.5, 4, 3 in ascending order.\nAnswer: -624, -27, -5\/2, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3858, -3874, -3916, -3996, -4126, -4318?\nAnswer: -4584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(209) + -1*sqrt(209))*2 - 5*-2*sqrt(209)))\/(3*(sqrt(539) - (-2*(sqrt(539) - sqrt(539)*-1) - sqrt(539) - sqrt(539) - sqrt(539))))*5.\nAnswer: -25*sqrt(19)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 9*r - 7. Let p(w) = -8*w + 7. Let q(h) = 5*p(h) + 5*u(h). Let f(j) = 178*j + 2. Give q(f(a)).\nAnswer: 890*a + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1703 + -952. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 1 - 1)*(-3*h - h + 2*h) + 135*h**2 + 56*h**2 + 66*h**2 as d + z*h**2 + i*h and give z.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -886*t + 13*w + 45 = -443*t - 447*t, -5*t - 41 = w for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185479 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541503947551 + 7*z**2 - 541503947551.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - (-14 + 7) - 11) - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 h when four letters picked without replacement from {y: 8, a: 5, h: 4}.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 105\/(-9))*(-5 + 8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (-49 + 4) - (-5 + 32)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10384*d + 1608*d - 140416 = 0 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4 - 2*l**3 - 267832*l**2 + 14180302*l.\nAnswer: -12*l**2 - 12*l - 535664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92745898.\nAnswer: 2, 7, 263, 25189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124035434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**2 + 0*t - 13\/3*t**3 - 11\/6*t**6 - 9 + 13\/5*t**5 + 9\/4*t**4. Determine k, given that v(k) = 0.\nAnswer: -1, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 + 5*g - 32. Let p(w) = -w**2 + w. Let n(v) = -f(v) + 4*p(v). What is the tens digit of n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1143 + 9618. Does 75 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i + 7. Let p be k(4). Let j = p + -24. What is the units digit of j\/(20\/12) + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00759687 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 2 = -18*x. What is the nearest to -1 in 1\/2, x, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - sqrt(102)\/(sqrt(3)*-2) - (sqrt(272) + sqrt(272)*-3)\/sqrt(8))\/(5*5*(sqrt(128) + 2*sqrt(128))))**2.\nAnswer: 833\/1440000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 2946889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 4. Let a be d(2). Let i = 2.655 + 0.045. Let r = 3 - i. What is the biggest value in a, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-2)*((-125)\/(-25) - -20989).\nAnswer: 2, 3, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.4, 3\/22, -75, -5, 5, -7 in descending order.\nAnswer: 5, 0.4, 0.3, 3\/22, -5, -7, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107 and 299921.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prpprrrrrrpppdj. What is prob of sequence pprd?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 a when three letters picked without replacement from {a: 4, y: 4, f: 5, s: 6}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -9*p + 4*p + 20, 5*p + 4 = -j. Suppose 190 = 5*x - d, -x - 4*d + p + 17 = 0. Let f = 19 - 0. What is the remainder when x is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:43 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 1. Let q = j + 2.3. Suppose w - 2*w - 2*b = 0, -3*w - 10 = -4*b. What is the second biggest value in -0.4, q, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5730 from 75100.\nAnswer: 69370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*n + t + 13 - 10, 5*n - 4*t + 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 1, r: 2, d: 2, y: 1}. What is prob of sequence ep?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*2 + (44 - 37). Let u be (-24 - -25)*(-1 + n). Factor -2\/9 - 14\/9*t**3 - 4\/9*t**u - 10\/9*t - 2*t**2.\nAnswer: -2*(t + 1)**3*(2*t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-16)*2*-6. Suppose -3*t = w - 81, 0 = -3*w - 0*t + g*t + 291. Suppose -4*o - 21 + w = 0. What is the highest common divisor of 45 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3310300 - 112?\nAnswer: -3311012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 105*t**2 + 78*t - 81. Give y(1).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/3 - 6\/(-2). Suppose -5*o + 3*b = -65, -f*b - 30 = -2*o - b. What is the remainder when 28 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8094, 13156, 18218, 23280, 28342, 33404?\n\"Answer: 5062*s + 3032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**2*z**3 + 5*w**2*z**2 - 2*w**2*z + 8*z**2 + 54*z wrt z?\nAnswer: -6*w**2*z + 10*w**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14 - (9 + 5 - -377090). What is g rounded to the nearest one thousand?\nAnswer: -377000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106614 (base 7) to base 6.\nAnswer: -224430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 28738*q - 619404483.\nAnswer: -(q - 43107)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-366)\/21)\/(-61))\/(4\/(-672))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 j when four letters picked without replacement from jjwkkjbkbowbwbjkkb.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*u + 5, -m - 3*u + 11 + 7 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33 + 34*u**2 - 33 + (3 + 2 - 3)*(-15*u**2 + 59 - 59).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 87*m**2 - 1404*m - 155. Give v(15).\nAnswer: -1640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 11) to base 14.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 65*h**2 - 62*h - 11. Calculate t(-5).\nAnswer: -1201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003649053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6510*w**2 - 6573*w**2 + 5*w + w**3 - 7*w to the form b*w + k*w**2 + q + d*w**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6860*g**2 + 1020*g**3 + 11114*g**3 + 3291*g**2 + 3569*g**2.\nAnswer: 12134*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 31) + 24 + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.74 - 144.26. Let s = 144 + v. Which is the biggest value? (a) s (b) 15 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152016*y - 3*y**3 - y**2 + y**3 + 3*y**2.\nAnswer: -2*y**3 + 2*y**2 + 152016*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 49*g**2 - 75*g - 128. Calculate q(47).\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53328 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -16, 2\/7, 0.053, 4, -27 in descending order.\nAnswer: 4, 2\/7, 0.053, -1\/2, -16, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 9*g**3 - 22*g**4 + 0*g + 2*g - 11*g**3 - 4*g to c + n*g**3 + p*g**2 + w*g**4 + j*g and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42858 = -20*z + 133*z - 7992. Are 1349\/3 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2 + 16\/(-40))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 47 + 2. Calculate the remainder when 15 - (-4)\/1 - -4 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, -9 in increasing order.\nAnswer: -9, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 44 = -40 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, -5, 2, 2\/171?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2703 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 515 = 551 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 - -133. Suppose -q - k + 8 = 0. Solve 4 = 3*u - 5*t, u - t - q*t + 1 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*o + 39, 2*r = 2*o + 6 - 28. Let t = -4 - r. Let i = 7 - t. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 4*c + 32 = -5*j, 2*c - 6 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 12, -6, -40, -90?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707815*a - 707860*a + 450 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = -0*u. Let t be 24 + 0\/2 - u. Let l = -9 + t. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2739 in -3, 0.1, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10431210 is divided by 503?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 1 - 1 - f + (4*f**2 - 5*f**2 + 3*f**2)*(2*f - 2*f + 3*f) + 179*f**3 + 276*f**3 - 367*f**3.\nAnswer: 93*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -1 - (-111 + 60 - -51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19434)\/943 + 1932\/3174.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/84000 and -199\/15750.\nAnswer: 252000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8922023 and 595486?\nAnswer: 10267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1534 and 1557114.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 11 = 2*s, 3*s - 6 = -0*j + 3*j. Let l be (-4)\/24 - (-10)\/(-12). Let t be ((1 - -1)\/(-2))\/l. Put t, -2, s in decreasing order.\nAnswer: t, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2. Let d(a) = 8*a**2 - 10. Let o(y) = y**2 - 1. Let q(g) = -d(g) + 10*o(g). What is z(q(w))?\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.143 + -0.09. Let i = k + 1.947. What is the nearest to 2 in 0.1, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 7*w**2 + 6*w + 2. Let z = 461 + -145. Let c = -311 + z. Calculate y(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in 1\/33, -24, -3\/2, -8\/7?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:52 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/11 - 4*c**4\/11 + 16*c**2\/11 - 16*c\/11.\nAnswer: c*(c - 2)**3*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1944717, 1944716, 1944715, 1944714, 1944713?\nAnswer: 1944712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 18 = 5*q, -5*b = 4*q - 3*b. Let l(i) = i**2 + 6*i**q - 3*i**2 - 7*i**2. Let p(w) = -48*w**2. Determine p(l(u)).\nAnswer: -432*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 16*b - 3*g + 37 = 0, -3*g = 4*b - 59. Let u(i) = -186*i. Let m(c) = -37*c. What is b*m(l) - 2*u(l)?\nAnswer: -35*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - (-17 - -34 - 10 - 30).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q + 7. Let y = -481 - -491. Suppose 0 - y = 2*b, b - 20 = 5*r. Let x(l) = l - 1. Give r*x(h) - a(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 18*(-5)\/((-75)\/20). Let b = 54 - 79. Let t = b - j. Which is bigger: -7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 3:34 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551 = -49*f - 23*f - 335. Factor 11\/6*r**2 - 1\/2*r**f - 4\/3*r - 2\/3.\nAnswer: -(r - 2)**2*(3*r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13134 is divided by 1873?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 17*x**2 + x + 4. Let z(v) = 1 - 1 - v - 18*v**2 - 5. Let t(u) = 5*b(u) + 4*z(u). Let c be t(-1). Calculate the greatest common factor of 108 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18826889 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.291 minus 2?\nAnswer: -0.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 22289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9003 + 9020. Let a(n) = 10*n**2 - 2*n - 5. Calculate the remainder when a(4) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220*f + 430*f - 218*f + 317*f**2 + 410*f**2 + 110 wrt f.\nAnswer: 1454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, v: 7}. Give prob of sequence vt.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 a when four letters picked without replacement from {a: 10, k: 10}.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111180 rounded to the nearest ten thousand?\nAnswer: -2110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30762 and 46143.\nAnswer: 92286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/73)*y))**(-45)*(y*y**1*y)**16)**(-11) assuming y is positive.\nAnswer: y**(-37554\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1, -37.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 3)*(2 + 2 - 6)*(3*n - 2*n + n) to the form g*n + a and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 - 5*o**2 + 12*o - 9. Let g be r(4). Let v = 351 + g. What is the remainder when v is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgdnnnnnnndngnnnnnnn. What is prob of sequence gdn?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from fzpfffpaqzfffp?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**3\/2 + 21*w**2\/2 - 67*w - 4. Let r(i) = 4*i. Determine j(r(b)).\nAnswer: -12*b + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7809*j**3 - 3905*j**3 - 3905*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/6)\/((-134)\/(-201))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 21*n - 104. Let b be h(6). Calculate the highest common factor of 66 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 57*y + 4196. Determine g(-40).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -6350111\nAnswer: -31750555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.055 - -0.005. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggogxogoxooooxxgo. Give prob of sequence goox.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o + 3*h, o - h = -6*h + 3. Suppose 4*a - 7 - 5 = 0. Suppose -s = -a - o. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14627, 14628, 14629, 14630?\nAnswer: 14631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = c + 5*w, c - 5 = -3*c - 5*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-10 - (12 - 27))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + -33. Let i = -34 + c. Solve -i = -5*g - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163589707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 23 + 33 = 0. Solve 0 = -5*b - 5*n - 9 - 21, y*b = 3*n + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/5 - 942101*x**3\/5 - 4710472*x**2\/5 + 7536816*x\/5 + 45220608\/5 = 0. What is x?\nAnswer: -942096, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -1, 0.3, -2, 22432?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570132.\nAnswer: 2, 3, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i. Let p = 6 + -6. Let l be (-2 - 0)\/2 + p. What is the units digit of f(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5 - (-5 + 6)). Sort 0.4, 6, -11, t in increasing order.\nAnswer: -11, t, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 180*s - 164*s + 344*s - 3*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19465.41 + 19302. What is r rounded to zero dps?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.72555 millennia to decades.\nAnswer: 4572.555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c. Suppose -21 = -2*b - 3*h, 2*b = -2*b + 4*h + 12. Let m be i(b). Solve -u = -m*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w = -6916 + 103396. What are the prime factors of w?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x - 1 - 7*x + 1.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 4*d**2 + 5*d - 4. Let c = 2 - -2. Suppose -5*z = -254 + 24. What is the remainder when z is divided by u(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0, 5, -6 in decreasing order.\nAnswer: 28, 5, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*y - 3487 = 5508 - 2030 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/7550 and 4\/6795.\nAnswer: 67950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4800 - 0.020793\nAnswer: -4800.020793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/3 + 72\/(-108)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**2 - w**2 - 3*w**2)*(11*w + 14*w + 1 - 30*w)*(3 - 2 + 2) as r*w + b*w**3 + y + q*w**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4 - (-50)\/4 and (1100\/(-175))\/((-201)\/21)?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2844 != -6595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/173851342 and -18\/8183?\nAnswer: 1216959394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 7*f + 27 = 0, -2*c = -8*f + 3*f - 3 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - -106. Let 15\/2*p - 3 - 3*p**o - 3\/2*p**2 = 0. What is p?\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29538974*w**4 + 24007682?\nAnswer: -118155896*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -920*d + 27782 + 11778 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-340)\/(-80) - (7\/(-4) + 1). Suppose -25*d - 5*d**5 - 10*d**2 - 438 - 439 - a*d**4 + 892 + 30*d**3 = 0. Calculate d.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1375565?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - -0.07. Let d = k - 0.04. Let c = 0.31 - d. Put 2\/5, -3\/7, c in decreasing order.\nAnswer: 2\/5, c, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746 a factor of 4142264526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 5 - 4 - -128. Let j = v - 93. Factor 2 + 5*q**2 - 9*q - 26*q**3 - j*q**3 + 5*q**2 + 53*q**3.\nAnswer: -(q - 2)*(q - 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5803064544 + 5?\nAnswer: -5803064539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 45376*x - 863588.\nAnswer: 4*(x - 19)*(x + 11363)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 = 6*q + q. Find the common denominator of 78\/(-40)*(-55)\/q and -109\/28.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -62*v**2 - 2*v. Let o(g) = g**2. Suppose 33 = -m + 52*q - 56*q, -4*m = 4*q + 36. What is m*d(f) - 12*o(f)?\nAnswer: 50*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -26 + 24 - (1 - 18)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 5181. Let v(g) = 259*g - 6. Give x(v(s)).\nAnswer: -518*s - 5169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144502352 and 4076.\nAnswer: 4076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 + 312*a**2 + 1617*a + 1962 = 0. Calculate a.\nAnswer: -3, -2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -0.9. Suppose -c + 3 - 6 = -2*l, 0 = -3*l + c + 5. What is the second smallest value in l, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 20 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 314*q**3\/7 - 2623788*q**2\/7 + 33424*q\/7 = 0?\nAnswer: 0, 2\/157, 8356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2420 (base 5) to base 7.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 82.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.400505 minutes?\nAnswer: 444030300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 9*a + 4. Let n(d) = 2. Let y be (4\/(-24))\/(18\/108). Let k(h) = -5*h - 6. Let u(j) = y*k(j) - 2*n(j). Calculate -4*c(q) + 7*u(q).\nAnswer: -4*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {m: 7, e: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 15*u + 6*u + (1 - 4 + 1)*(3 - 3 + u) - u + u + 3*u)*(-u**4 + 3*u**4 - u**4).\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -314 + 146. Let d be 387 - (-3)\/(-1) - -4. Let b = d + p. What is the highest common divisor of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddk when three letters picked without replacement from kkdddtd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5881 and 2.4?\nAnswer: 14114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/5)\/w)\/w)\/w**(2\/11)*w\/(w*w*(w\/(w**(-1\/3)*w))\/w)*w**(2\/15))\/((w**2)**(2\/9))**50 assuming w is positive.\nAnswer: w**(-12377\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x + 17. Let h = x - 12. Factor i**4 - i**3 - h*i**4 + 0*i**4.\nAnswer: -i**3*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 - 84. Let m = -4.8 - 0.2. Let s = m + 3. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -465 - -3918. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 13*a**2 + 44*a - 872. Determine m(11).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181475.6953 + -20.3047. Let k = f + 181497.18953. Let g = k + -1.19. Round g to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 25.\nAnswer: -6, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 275 divided by -5\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*c - 112 = 200*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3992 divided by -499\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 1, -151, 43\/4, -3?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1106650371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 4*p**2 - 3*p - 4. Let a be k(-3). Let d(v) = -10*v. Let l be d(1). Let z be 34\/(-10) - l\/25. Sort 4, a, z.\nAnswer: a, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*z**3 + 1 - 1.\nAnswer: 227*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/36 + (-4)\/(-18). Solve -2*z + 5*z - 9 = w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 2 + 5)*(-105*a**4 + 83*a**3 - 83*a**3).\nAnswer: -3255*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**8\/1176 + 4*r**7\/147 - 4*r**6\/15 + 11*r**5\/35 + 171*r**4\/28 - 162*r**3\/7 - 120*r**2 - 5. What is f in t(f) = 0?\nAnswer: -2, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 38*v - 40*v = -40, 5*i = 4*v + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 573 - 576, -q = -2*f - 131. What is the remainder when q is divided by (-21)\/((-4)\/((-8)\/(-3)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**2 + 11*d - 43. Does 9 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r - 269*r = 133*r - 7220 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*c - 2 + (18227*c - 10303*c - 9591*c)*(-2 + 0 + 0))*(c**2 + 0*c**2 - 3*c**2).\nAnswer: -6664*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3654 and -10\/117.\nAnswer: 47502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243682 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*k + 3*k + 8*k)*(3*k - 3*k + 2*k**3) + 2*k**4 - 3*k**4 + 3*k**4 - 253 + 253 - 35*k**4 to a*k**2 + q*k**4 + m*k + x*k**3 + i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 1. Let a be s(6). Let q = -5 + a. Let x be 2 - (-6)\/(q\/1). Calculate the greatest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, x: 6, o: 1}. What is prob of picking 1 e, 2 x, and 1 o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 0, 21*z + 2*s - 3 + 6 = 18*z - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-1 - 9)*3\/(-5). Suppose 0 = -r*l + l + l. Solve l*f = f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.568 - -29.732. Let p = q - 30.5. Sort 0.13, p, 1\/4, 2 in decreasing order.\nAnswer: 2, 1\/4, 0.13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/9)\/(l**(-8)*l*l))\/(l**22*l\/(l\/(l*l\/(l**(-7)\/l))*l*l)) assuming l is positive.\nAnswer: l**(-215\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*m**3 - 580*m - 11803 with respect to m.\nAnswer: 15*m**2 - 580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/4))**(-9\/7)\/(n\/((n\/(((n\/(n*n\/(n**(-2\/7)\/n*n)*n*n*n)*n)\/n)\/n))\/n)*n*n*n*n)**(-2\/45))**(-38) assuming n is positive.\nAnswer: n**(38779\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3771 is divided by 930.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 2 - 2 + (6 + 2 - 3)*(-8*c**2 + 6*c**2 + 5*c**2) in the form o*c + z + d*c**2 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) -1326 (b) 64 (c) 2\/11 (d) -3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2 + 8*j + 1 + 3*j as g*j + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -5\/13, -5, 1\/4, -0.3 in decreasing order.\nAnswer: 18, 1\/4, -0.3, -5\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 5*q**2 - 7*q**2 - 2 + 5*q**2)*(4 - 1 - 2).\nAnswer: 3*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 19*g**2 + 34*g + 9. Let t be p(16). Is -215 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 1. Let t(l) = -3*l - 6. Let i(q) = -2*q - 5. Let r(z) = -7*i(z) + 6*t(z). What is -5*r(g) + 7*u(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2025*q + 2110*q = 5185. Which is the biggest value? (a) 1\/10 (b) -1 (c) 0 (d) q (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 13*i - 5. Let u be 53 + -51 - (-5 - 0). Calculate the smallest common multiple of 430 and d(u).\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 31*j**2 + 0 + 0*j**3 + 0*j + 1\/8*j**4. Let z(f) = 8*f. Give x(z(q)).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/23))**12 assuming n is positive.\nAnswer: n**(252\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 170630941598.\nAnswer: -170630941598.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (2 + 20) - (-161)\/16.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/29)*l**8\/l assuming l is positive.\nAnswer: l**(207\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 3.070777812247.\nAnswer: 7.070777812247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 3*p**6\/10 + 204*p**2 - 75*p - 3. Find the first derivative of r(t) wrt t.\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(-14 - 4*f + 14)*(39 + 416 + 255).\nAnswer: 8520*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 51474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g = -2615613 + 2618803 for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10085 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66343 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -23*h**3 - 12*h**2 + 4*h - 2. Let l(r) = r**3 - r. Calculate a(o) + 4*l(o).\nAnswer: -19*o**3 - 12*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/20 - r**5\/60 - r**4\/24 + 6*r**2. What is u(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/10 + 12\/30. Suppose -5*k + 21 = -4*i, p*k - i = -2*i + 21. Suppose 0 = 5*d - 5 - k. Solve 6*h + 2*r = 3*h + d, -4*r = 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308 - 109. What are the prime factors of p?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igr when three letters picked without replacement from {o: 3, i: 4, r: 2, g: 9}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 + -102. Let f = 98 - c. 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: Work out -5 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 14\/(-6))*18\/20.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -107 + 38 + -49 + 68?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.87365 nanometers in centimeters?\nAnswer: 0.000001187365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -136804 + 29.61184326\nAnswer: -136774.38815674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 675810\nAnswer: 4054860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -435.98 - -436. What is the second biggest value in -0.5, y, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12627969, 25255930, 37883889, 50511846, 63139801?\nAnswer: 75767754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.1 (c) -550\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 12:22 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by 3735322.\nAnswer: 141\/3735322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -301 and 0.2.\nAnswer: -60.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**4 - 17*s**3 + 2821*s**2 - s - 7266744.\nAnswer: 12*s**3 - 51*s**2 + 5642*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/6 - 147263*f**2\/3 - 3534203*f\/6 - 5153995\/3 = 0. Calculate f.\nAnswer: -294514, -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*(-7)\/(-84)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 147.9 - 2\nAnswer: 145.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 26*f.\nAnswer: 2*f*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -138\/3078791?\nAnswer: -138\/3078791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 51 = 4*o. Let g = 20 + o. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 17 - 3. Suppose 0 = i + y + l, i = -2*i + 4*y + 22. Suppose 2*h + 5*k = -12, -5*k = 3*h - i*k + 18. Put -5, -1, h in ascending order.\nAnswer: h, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6 + 327*a**2 + 7*a - 328*a**2 + 4. Give k(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -19*i - 965. Let a be s(-50). Put a, 1, 3, 5 in decreasing order.\nAnswer: 5, 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*j = -182*j + 357588. Calculate the greatest common factor of j and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + (26 - 24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2644 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 225 + -251. Let t = 65 + -9. Let l = f + t. Calculate the highest common divisor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (460\/(-6164))\/(((-110)\/(-4))\/11)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooxxxaa. Give prob of picking 1 x and 1 o.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**5\/60 - f**2\/2 + 3. Let l(b) be the second derivative of z(b). Let k(v) = -6*v. Calculate k(l(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.1 (b) -2 (c) 4\/3 (d) -1 (e) -0.91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7821564 and 5111022?\nAnswer: 10002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 267228 and 207273?\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 251734697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 18 = -5*y - 8*v, 3*y = -5*v - 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j**2 - 1556*j - 10200 = 0 for j.\nAnswer: -6, 425\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -262 + 264. Suppose -4*y - 85 = -5*o + y, -3*o + 2*y + 46 = 0. Calculate the smallest common multiple of r and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 c when three letters picked without replacement from cucuuucuuucuuuuuuu.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)\/c)\/c**(-8\/15)*(c**(-3\/14))**(-3\/10) assuming c is positive.\nAnswer: c**(-16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-154)\/(-33)*3\/2. Let q(j) = j**2 - 5*j - 13. Let d be q(c). Let x = 11 - d. Solve -f - x = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 3*v**2 + v - 1. Let j be b(2). What are the prime factors of 11 + 36\/(j + 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 901 = -2*z + z, 5*z - 4539 = 2*a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119.7 - 107. Let b = -0.31 - -8.61. Let k = b - a. What is k rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j + 10 - 10)*(69*j**2 + 282*j**2 + 3*j**2) in the form r*j + t*j**3 + x + b*j**2 and give t.\nAnswer: -1770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 509 + 89. Suppose 9*f - 2*f = u. Let b = f - 9. What is the remainder when b is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-39 - -39) + (-48 - 1))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88616 is divided by 1791?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 242\/6533 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13028 + -13021. Suppose -x + 22 = -0*x - 4*y, 4*y = 3*x - 42. Suppose -2*u - x = -v*u. Solve 0 = -w - u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -34?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*((-4)\/(-3))\/4. What is the tens digit of ((-5)\/((-5)\/443))\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 139 = r, -2*q + 78 = r - 4*r. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1282295724 divided by 4\nAnswer: 320573931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5264463 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56377*i**2 + 93176?\nAnswer: -112754*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -210001021222 (base 3) to base 2\nAnswer: -1100101001001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 961*u. Let a(o) = 26*o. Suppose -2*g - 131*x + 132*x - 367 = 0, -2*g - 342 = -6*x. Give g*a(w) + 5*l(w).\nAnswer: -31*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -e8 (base 15) to base 6\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/102*(-12)\/(-8)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Let o be 0 - (-2 - (-3 - -4)). Suppose 3*g - 26 = -2*c + 9, -o*g = -15. What is the highest common factor of i and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/4*(510\/(-14280))\/((-2)\/(-388))?\nAnswer: 97\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -35\/31 (c) -5 (d) -46 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9 <= -35936.51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/292 and -101\/4.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23\/3, 1, -4.\nAnswer: -4, 1, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 42 = -38. Find the second derivative of 125*i**t - 176*i**5 - 88*i + 97*i**5 wrt i.\nAnswer: 920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 164440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*p - 289*p**3 + 34*p + 291*p**3 + 2*p**2 - 2 + (-p**3 + 0*p**3 - p**3)*(1 - 3 + 1).\nAnswer: 4*p**3 + 2*p**2 + 25*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 23*f - 11420 = -11452, 5*w - 44 + 12 = 5*f + 18 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269792584.\nAnswer: 2, 17, 79, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2. Let w(p) = -56*p + 105*p - 16 - 54*p. What is w(x(h))?\nAnswer: -5*h**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34781903 to the nearest integer?\nAnswer: 5898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80249.\nAnswer: 13, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 650*-0.2.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 4*m**2 + 2*m - 4. Let t(n) = -4*n + 44. Let k be t(11). Suppose k = -2*v + 3*p + 12, -3*v + p + 12 = 1. Determine l(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = -31*k - 16. Let l be 2\/6*21 + k. Differentiate 988 + 0*p**4 + l*p**4 - 991 with respect to p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.01 and 12.837?\nAnswer: 13.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*k**4*w - 390*k**4 - 2*k*w - 11*w - 3 wrt k.\nAnswer: 132*k**2*w - 4680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15327, -30677, -46023, -61365?\nAnswer: -76703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 22 - 6. Suppose 2*n + 2*k = 113 - 95, -5*n - 11 = -3*k. What is the highest common factor of n and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -68.04. Which is the second smallest value? (a) 4 (b) 1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8324.687 litres?\nAnswer: 8324687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 6*i**2 + i + 3. Suppose 0 = u + 3 - 9. List the prime factors of x(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-1)\/2*-8. Suppose -107 = 4*x + 5*w, -h*x + 2*w = -8*x - 121. Let z = x + 33. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6620068 is divided by 247.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/m**4)\/m*m)\/m)**(7\/12))**46\/((m*m**(2\/33)\/m*m)\/(m*m**(-1\/3))*(m**(2\/7))**(15\/4)) assuming m is positive.\nAnswer: m**(-18934\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/319? (a) 0.06 (b) -2\/11 (c) -5 (d) 4\/5 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/49)\/(9\/(-63)) + -3 + 1. Factor -4\/3 - 4\/3*u - 1\/3*u**i.\nAnswer: -(u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((2 - 1) + -2). Let g = -170 + 164. Let x be (54\/144)\/(g\/(-10)). Which is greater: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102.3 + -120. Let c = f + 19. Let u = 1.3003 - c. Round u to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmn when three letters picked without replacement from {m: 1, n: 2, b: 6, p: 3, z: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y - 10. Let i be k(-5). Find the second derivative of -i*d**4 - 3*d + 11*d**4 - 9*d + 8*d**4 wrt d.\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59748, -119295, -178840, -238383, -297924, -357463?\n\"Answer: d**2 - 59550*d - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 799061.8 kilograms to micrograms.\nAnswer: 799061800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/32 and -157\/2376.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 13, 11, -2, -10, 143 in decreasing order.\nAnswer: 143, 13, 11, 1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m. Suppose m*k + k = 2. Solve -z = k*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*20\/(-48))\/(55\/(-44)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -816a (base 14) to base 2.\nAnswer: -101011011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = t + 56, -6*t - 313 = -t - b. Let x = t + 54. Let v = x + 12. Solve 5*w + 6 = -v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/27 and -127\/3012.\nAnswer: 27108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -25*u**2 + 3*u + 6. Let i(g) = 1404*g**2 - 169*g - 338. Let t(w) = -6*i(w) - 338*y(w). Let j(m) = -4*m**2. Determine t(j(r)).\nAnswer: 416*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7518.5427 - -7521.6. Let p = -0.288 + -2.742. Let l = n + p. Round l to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z = 3*g - 57*z - 8, -g = 4*z + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342239.\nAnswer: 342239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/1142, 0, -7, 1, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2098*s + 2098*s - 605*s**2 - 149*s**2 - 101*s**2.\nAnswer: -855*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 618*253 - 42*4\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/85 or 1?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 24 = -12. Suppose 0 = -4*y + a - 0. Suppose y*n - 22 = 20. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*w**2 - 12*w**2 + 42*w**2 + 25*w**2.\nAnswer: 83*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384216?\nAnswer: 2, 3, 7, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 + 406*r**2 + 322 - 162.\nAnswer: 406*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 7*k**2 + 6*k + 10. Let m be s(8). Let o = -6 - m. Suppose 3*q + o*q = 18. Solve -q = -5*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3208*g = 2*c - 3203*g - 20, 3*g - 31 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5)**24*y**13*y\/(y*y**(-4)) assuming y is positive.\nAnswer: y**137","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 b, and 1 o when four letters picked without replacement from bohnhhozznhbz?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(2)*2*2 + 2 + -5*sqrt(12)\/sqrt(6)*-4.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7 = -58. Suppose j - h = -1. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18 - 25 - 44\/(-6)) + 8\/3. Solve s*m = p - m + 23, 2*p - 14 = -4*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540 times -4?\nAnswer: -6160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 104 = -3*g + 4*b, 2*b = 3*g - 101. Let m be ((-104)\/6)\/((-22)\/g). Let a = -17 + m. Is 8 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2062*t**4 + 169*t**3 + 2*t**2 - 50314*t wrt t?\nAnswer: -49488*t + 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/8 - r**2\/2 - 19*r\/8 - 7\/4 = 0 for r.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47602489?\nAnswer: 11, 197, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.5 - -1.9. Round i to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2 + 2*z + 1. Let t(y) = 5*y**2 - 2*y - 2. Determine 7*h(c) + 6*t(c).\nAnswer: -5*c**2 + 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 14906 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17564422*b**2 - 23855085 wrt b.\nAnswer: -35128844*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 10 + 30. Suppose -9 + 21 = 6*a. What is the lowest common multiple of a and (-4)\/6*(-156)\/d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 3*f - 1. Suppose 5*l = 8 + 7. Suppose 8 = l*d - 1. Let i(m) = -4*m**2 + 3*m. Let r(o) = d*c(o) + 2*i(o). What is r(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 2\/(6\/(-639)). Let d = k - -35. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 3 (b) -2\/3 (c) -0.3 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 2*i**2 + 6*i + 2. Let w(m) = -m**3 + 20*m**2 + 2*m - 45. Let r be w(20). Calculate s(r).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2.005. Let j = k + -0.355. Let b = j - -0.05. Which is greater: b or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5955.604 millilitres to litres.\nAnswer: 5.955604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 67. Let n = p + -29. Which is the closest to 0? (a) n (b) 5\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/90)\/(2\/(-378))*(-2)\/3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2360?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192806300?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*l**4 + 13*l + 11*l + 26*l**4 wrt l?\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 71\/3, 1\/4, 0.2 in increasing order.\nAnswer: 0.2, 1\/4, 71\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 135475 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*(-35 - -38)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 196*j - 3519. Give q(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3481.93401 + 809.\nAnswer: 4290.93401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -24*o - 3. Let l be p(-7). Suppose 0*u + l = 5*v + 5*u, 2*v - 5*u - 52 = 0. Calculate the remainder when v is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovovooooooooooov. What is prob of picking 2 v and 1 o?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 128660 times 3?\nAnswer: 385980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -48330935*0.2\nAnswer: -9666187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4097*u - 42 = -8192*u + 4074*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 5*q**2 - 6*q + 5. Let r be h(6). Let u be r - ((-8)\/(-4) - 2). Suppose -4*t = t - u*j - 925, j - 555 = -3*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 15. Let z(m) = -m**3 + 2*m**2 - m - 9. Let g be z(t). Let b = 12 - g. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -75. Let q = 48 - m. What is h in 0 - 1\/5*h**2 + 1\/5*h**q + 3\/5*h**3 - 3\/5*h**4 + 0*h = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122.6 or -1?\nAnswer: -122.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36, 17, -8, -33, -52, -59, -48, -13?\n\"Answer: t**3 - 9*t**2 + t + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -8. Is -1 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgwp when four letters picked without replacement from gddpddjddppwdgwdggw?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 4 (c) -2\/32535 (d) 7 (e) 3\/5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 9:16 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 - 4*f**3.\nAnswer: -4*f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -n - 14*n + 3*n. Let l(k) = 2*k**2 - k - 5. Let f(u) = -6*u**2 + 3*u + 16. What is n*f(g) - 11*l(g)?\nAnswer: 2*g**2 - g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 10*c**3\/3 + 4*c**2 - 48*c - 15. What are the prime factors of k(7)?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -163. Let z = u - -51. Is z at least -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56075 is divided by 2980?\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, t: 4, q: 2, l: 1}. What is prob of picking 2 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 q when three letters picked without replacement from nnyqnnq?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*r**3*v**2 - 746*r**3 + 2*r**2*v - 99*r*v**3 wrt v?\nAnswer: -38*r**3 - 594*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, i: 2}. Give prob of sequence aii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 11:57 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j + 5. Let m(g) = g**2 + 2*g - 8. Let h be m(-4). Suppose -u = -0 - h. Give c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -76*m**4 - 761*m**3\/5 - 2*m**2\/5 = 0. Calculate m.\nAnswer: -2, -1\/380, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 2721*f**2.\nAnswer: 2721*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 65. Suppose -o = n - 0. Let p = o - -11. Let l(z) = -z**3 + z**2 + 2*z - 1. What is l(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42999 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 106c64c + -1?\nAnswer: 106c64b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 16*o**4\/3 + 19*o**3\/2 - 88*o. Find the second derivative of x(u) wrt u.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 8. Let x = -0.3 - -0.25. Sort x, i, -0.3 in increasing order.\nAnswer: -0.3, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 124\/(-3) - 1\/(-3). Suppose -5*g + 91*v - 96*v - 3675 = 0, 5*g + 3665 = -3*v. Let o = k - g. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4179*p + 814 = 4157*p for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-48)\/(-2232))\/(0 - (-14)\/282). Let b = 1\/217 - s. Is b smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 4)*(22 + -23). Which is the fourth smallest value? (a) 2\/5 (b) l (c) 5\/4 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/4 - (-6)\/(-12). Let k(y) = y**3 + 5*y**2 + 3*y - 1. Does 8 divide k(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55.36 + 0.4.\nAnswer: -54.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 9*t**2 + 11*t - 22. Let q be m(10). What are the prime factors of 836 - 8*2\/q*3?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282.21156 milliseconds to hours.\nAnswer: 0.0000783921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 82062632 - 82062632.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**2 + 128*z + 85. Calculate the smallest common multiple of 126 and o(17).\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -6\/7 (c) 16\/5 (d) -0.026\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11327 and 2358319?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**6\/15 - x**5\/30 + x**4\/12 + 5*x**3\/6 + 2*x**2 - 109*x. Suppose -j - j - 6 = 0. What is the units digit of g(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -15*a - 9. Let h be k(0). Let b(z) = -6*z - 54. Let n be b(h). Solve -2*q + 2*o = n, 5*q + 3*o = -0*q - 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/10 - 17\/(-2). Suppose c = -x + 26. Let o be (-18*1)\/(1\/(-3)). What is the highest common factor of o and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 342, 526, 710?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 a, and 1 s when four letters picked without replacement from assyjyjtjysjj?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 562*r**2 - 31*r + 28. Let j be y(1). Calculate the greatest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((((-5)\/((-790)\/(-4)))\/(352\/528))\/3).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(4\/2)\/2. Sort 1, -2, 2, f in decreasing order.\nAnswer: f, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k - 2996*k**2 - 19*k + 49*k.\nAnswer: -2996*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-34))**(-17) assuming g is positive.\nAnswer: g**578","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.19, 2\/19, 3, 6, -9?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -31. Let w(q) = 2*q**2 - 9*q + 18. Suppose 5*v = k + 26, 3*v - 4*k = -9*k + 38. Let u be w(v). What is the highest common divisor of h and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -474 - -836. Is h\/10 + (-4)\/(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.6019692 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -59*l - 261. Give d(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*j + 8656 = -2712. Solve 49*h + j = -49 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/7)\/y*y)\/y)**(-15) assuming y is positive.\nAnswer: y**(150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1546113 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - o - 3*o + 48, -5*o + 39 = h. Solve 5*v - h = -b, -b - b = 2*v - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 360 - 81. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 402, 395, 386, 375, 362, 347, 330?\n\"Answer: -p**2 - 4*p + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -466.5 in -0.1, 1\/4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -805 - -830. What is the lowest common multiple of 55 and g?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -348*t**2 - 343*t**2 + 689*t**2. Let c(o) = -o**3 + 6*o**2 - 6*o + 7. Let w be c(5). Let g(v) = w*v - 4*v - v. What is g(q(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, 0.1, 2\/5, -10\/9, -13?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 38 + 15*i**3 - 42 - 14*i**3 + 5*i**2 - 3*i. Calculate j(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 - 4 = 0. Let s(q) = 7*q + 10*q**r + 5 + q**3 - 2*q**3 + 2*q**3 - 2*q**3. Is s(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + 21738\/(-1278))\/((-35)\/(-105))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2351 plus 23325?\nAnswer: 20974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1 and -6.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 0)*4\/(-6). Suppose 14*r - 9*r = 5. Put d, r, -1 in descending order.\nAnswer: r, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78.06 - 84.06. Which is the fifth smallest value? (a) 6 (b) 4 (c) i (d) -2\/3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0.2. Let a = -8.1 - -8. Let c = 3.6 + 1.4. What is the biggest value in h, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/20)\/(407\/370).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 113\nAnswer: -36\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/11 and -2 - (531\/(-6) - 0)\/24.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*1*-1*sqrt(363)*-3*5)**2.\nAnswer: 2041870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 11:38 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + 1. Let g = 1 + 1. Suppose -g*u = -0 + 2. What is the units digit of n(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 530?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 1 + 8 + 13 = -5*n, -4*d = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702 = -1220*p + 1142*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -11 (c) -1145\/2 (d) 0.1 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1441 = -216*i + 145. Let q(o) = -o**2 - 22*o - 89. What is q(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -437.2962 + 432.81. Round n to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000268047 rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56*j**3 - 2221*j**2 + 3*j - 100939474 wrt j.\nAnswer: 168*j**2 - 4442*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -634261 and -634262 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -3433?\nAnswer: 3436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -323 - -970\/3. Put -1\/3, b, -56, -4 in descending order.\nAnswer: b, -1\/3, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 0.061432.\nAnswer: 0.561432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 3. Let p be k(-6). Let g be 16\/4 + p\/3. Solve 1 = g*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4254 minus -8.4?\nAnswer: -4245.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 130430, 130456, 130482?\n\"Answer: 26*v + 130404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/12 and 35\/15718.\nAnswer: 94308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 24. Let x be b(-14). Let i = x + 22. Suppose -3*v - g = 3*g + 15, -2*v = 2*g + 8. What is the third biggest value in i, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(6*4\/(-8)). Suppose -4*l + k = -11, a*l - k = l - 9. Solve 0*p**2 + 0*p + 1\/3*p**l - 1\/3*p**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 + 70. Let q(t) = -46*t + 57*t - 12 - n*t**2 + t**2. Give q(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 569 - 573. Which is the nearest to -2\/3? (a) 0.5 (b) v (c) -2\/5 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1061 - 1003. Solve -r = 12*t - 70 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 1 + 1 - 1)*(4227460*b**3 - 2113734*b**3 + 1154*b - 2113730*b**3) in the form a*b**2 + v*b**3 + u*b + w + h*b**4 and give u.\nAnswer: 1154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 207104437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38672\/140 - (-2)\/10. Let m = o + -276. Sort -1\/6, m, 0.05 in increasing order.\nAnswer: -1\/6, 0.05, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2 (c) -276 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 3:38 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6 and 13\/3092.\nAnswer: 9276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 134801234 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -325*w - 4965. What is o(-15)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 2*l)*(5*l + 5*l - 5324016 - 4*l**3 + 5324038) as d*l + s*l**2 + z*l**3 + j*l**4 + p and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12\/11*m + 0 + 1\/11*m**2 = 0. Calculate m.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4314*t - 7 + 3 - 4315*t in the form x + b*t and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f + 1. Let m(n) = -4*n. Let g(v) = -7*m(v) - 3*o(v). What is the first derivative of g(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/4 - 27*q - 111\/4.\nAnswer: 3*(q - 37)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-6) - (-348)\/696?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.420733 decades?\nAnswer: 650.48796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1638039 and 102.\nAnswer: 55693326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*(-10)\/15. Let l be (v\/(-5))\/((-4)\/(-10)). Sort 3, l, -0.4.\nAnswer: l, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 0 - -9 - -6) + -19?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*w = 2, -3*w + 44 - 48 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1.8179?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 730662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 1. Let m(f) = -2*f**2 - 5. Let q(j) = -m(j) + 3*s(j). List the prime factors of q(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.83 + -0.83. Let l = 167\/6 + -31\/3. Let c = -17 + l. What is the closest to c in 3, f, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -10\/11, 6, 0.2 in increasing order.\nAnswer: -15, -10\/11, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l. Let q(t) = -32*t**2 + 66*t**2 - 77*t + 58*t**2 + 77*t. Calculate q(h(g)).\nAnswer: 368*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*sqrt(8064))\/(3*sqrt(200)*4).\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 158790409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w**3 + 64*w**3 + 3*w**3 + 0*w**3 + w**3 + 0*w**3 + (21 + 2*w**3 - 21)*(-1 + 4 - 2).\nAnswer: 78*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9656 - 9661. Let q = -1 - -7. Let w = q + -4. Which is the second biggest value? (a) 2\/15 (b) s (c) 0.2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjjjjjjvjvjjv. What is prob of sequence vv?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 225\/32 (b) 0.16 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -1\/24*g**4 + 0*g**2 + 0*g**3 + 0 + 1\/40*g**5 - 1\/84*g**7 + 1\/60*g**6 - 3*g. Find n, given that r(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*u**3 - 87*u**3 - 107*u**3 + 273*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -0.1.\nAnswer: -1, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**3 - 2*i**2 - 2*i - 1. Let p be k(-1). Suppose p*o - 534 = -4. List the prime factors of o.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8294*r + 652. What are the prime factors of m(2)?\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34074 - -68145\/2. What is the nearest to -0.4 in p, 3, 2\/9, -5\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11590 by 4.\nAnswer: -5795\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/8)\/((-2)\/8). Let n = u - 7. Let w = -691\/176 + 57\/16. Is w less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48539211 to the power of 1\/3, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, 0.05, 3, -6\/7, 0.1, -1\/9 in increasing order.\nAnswer: -6\/7, -1\/9, 0.05, 0.1, 3, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 203477*o + o**2 + 2*o**2 + 3*o**3 + 203459*o + 0*o**2 + 5*o**3 to the form p + g*o + z*o**2 + i*o**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 292 and 10658.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 742911 rounded to the nearest 10000?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/21*70\/(-30).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 297*o + 83.\nAnswer: -297*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 9*n + 17. Let r(i) = 2*i**3 - 14*i - 26. Determine 8*q(d) + 5*r(d).\nAnswer: 2*d**3 + 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.43 - -26. Let w = 0.07 - f. What is the second biggest value in 0.5, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:18 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 367855540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bee8 (base 16) to base 14.\nAnswer: -2d9a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -198.139 - -0.139. Let a = 134 + h. Let t = -63.92 - a. Sort 0.1, t, -2, 2 in increasing order.\nAnswer: -2, t, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/16 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1884 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.18? (a) -1\/137 (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwwwjwjjwjw. Give prob of picking 3 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -39459969.\nAnswer: 118379907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by -20729.\nAnswer: 6\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + -2*sqrt(96)\/sqrt(4))\/(sqrt(8)*-3*3 - sqrt(8)) + (sqrt(147) + sqrt(147) + (0 + sqrt(147) + 1 - sqrt(147)))**2 + sqrt(24)\/(sqrt(392)*-2).\nAnswer: 981*sqrt(3)\/35 + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1198, -2382, -3566?\nAnswer: -4750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -323383171 - 2?\nAnswer: -323383173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 54 (b) 1 (c) 17 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3728784ml?\nAnswer: 0.0003728784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1355*t**3 + 6*t**2 - 7*t - 8. Let g be i(7). Suppose -92998 = -q - a, 0*a + a = 5*q - g. What is q rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 22, 40, 62, 88?\n\"Answer: 2*j**2 + 8*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -62*z**3 + 3*z - 1. Let c be t(1). Let r = 120 + c. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 307*d - 304*d = -20, 9*d + 46 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 9*o - 12*o, 3*g = -5*o - 10. Let v(z) = z - 2. Let u be v(5). Suppose -3*f + u*j + 10 = 1, 45 = 5*f + g*j. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 10:40 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*(sqrt(88) + -1*sqrt(88)) - sqrt(88))\/((-1*sqrt(24))\/sqrt(3)) - (4 + (sqrt(11) - (sqrt(11) + 1 + -4)) + 2*sqrt(704))).\nAnswer: -30*sqrt(11) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0508136 to four decimal places.\nAnswer: -0.0508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12530 divided by -851?\nAnswer: 12530\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54389 - -1?\nAnswer: -54388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 25993, -2, -8, 0, 5 in ascending order.\nAnswer: -8, -2, 0, 5, 25993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - -0.2. Let m = g - 0.391. What is m rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 1. Let l be j(2). Suppose -l*f = 15, 2*f + 11 = -4*v - f. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(80) - 2*sqrt(80)*-1)\/sqrt(4))\/(sqrt(16)\/(-1*sqrt(4)) - 2*sqrt(16)\/sqrt(4)).\nAnswer: -sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*r + 152, -2 = -r - 0*r. Suppose 0 = 3*f - 27 - y. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 940*w - 135662. Determine z(144).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2897599?\nAnswer: 17, 170447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (8 - 5) + -169 + 156.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 538 (b) 2\/3 (c) 1.4 (d) -3 (e) -1 (f) 0 (g) -0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 0.137 (c) -2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821717?\nAnswer: 3, 109, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-76137793\nAnswer: -30455117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 7 = -34 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 o when four letters picked without replacement from eoxoeoxxoooxo?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -429 + 729 - 60*z**2 + 59*z**2 + 501 as k*z**2 + h*z + d and give d.\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58042087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from pppempmppppempmxpeee.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270 is divided by 213.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, 2, 0, 6, -3, 8 in descending order.\nAnswer: 14, 8, 6, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 721 - ((-3)\/(-1) - 2). Suppose -9*v + 12*v = b. Is v a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -15. Let l be 2\/f + (-12)\/42. Suppose -12 = -l*h - 4*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 12:27 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6821702 or -6821708?\nAnswer: -6821702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6494)\/382*(-261)\/(-153)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = 12*x - 5. Sort x, 3, -10.\nAnswer: -10, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 3*x - 5*x)*(169*x - 7757 + 7757)*(x - x - x) as w*x + s + y*x**2 + h*x**3 and give h.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37636421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*1*5\/(-10)*-9*16\/(-144)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 43*u**3\/2 + 11052*u**2 - 450470*u - 20976 = 0. What is u?\nAnswer: -552, -2\/43, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, u: 2, b: 8, m: 6}. Give prob of sequence bbkm.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, -948, -1428, -1910, -2394, -2880?\nAnswer: -3368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 + 3 + 33 + -31 + 8 + (0 - 8)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.89 - -0.69. Which is the second smallest value? (a) -1 (b) i (c) -6 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*o*u + 58*o + 50*u + 2 with respect to u.\nAnswer: -33*o + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 153133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -2)*(-6)\/(72\/(-292)). Let v = t + -61. Let j be (-1 + (-1)\/(-2))*(-120)\/v. Solve 2 = -j*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/47, 0.1, 4 in ascending order.\nAnswer: 2\/47, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(1\/4)\/c))**(-2\/167)*c**9\/(c\/(c*c\/(c*c*(c\/(c*(c*c\/(c*c**(-3\/2)))\/c*c))\/c))*c) assuming c is positive.\nAnswer: c**(1750\/167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {z: 1, m: 3, u: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r + 1. Suppose a = -3*a - 36. Let t(f) = -8*f**2 + 8 + 15*f - 25*f - f**3 + 20*f. Let z be t(a). Give o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2101?\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 4:05 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7824951.\nAnswer: 3, 353, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*j + z - 0, -z - 3 = -12*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151009 is divided by 74409.\nAnswer: 2191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 6*p - 2191 = 0. What are the prime factors of p?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*2)\/((12\/7)\/((-693)\/(-163317)))\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 12 = -4*f, -4*x - 4*f + 28 = f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*w**5 + 47*w**5 + 0 + 962*w - 1120*w + 0 wrt w?\nAnswer: 1540*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2981 - -3005. Calculate the smallest common multiple of g and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.39 from 213.634277524.\nAnswer: 211.244277524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-125)\/10)\/5*(-454)\/5. Suppose -5*q + r = -5300, -2347 = -2*q - r - x. What is q rounded to the nearest 10?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3)\/a*a)\/a*a\/(a\/(((a*a**(2\/7))\/a*a*a)\/a)))\/((a\/a**(2\/3))\/a**(1\/4))*(a**(-1\/4))**(6\/23)*(a**1*a)**(-1\/38) assuming a is positive.\nAnswer: a**(-7123\/12236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 155949*a**2 - 4118708.\nAnswer: 311898*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 - -16. Let w be (-4)\/(2\/(-1)) + 11. Calculate the greatest common factor of w and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 12:01 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2. Let q = 3 + -2. Let a be q\/(-2) - (-1)\/2. Let d(k) = 2*k**2 + a + 0. What is z(d(x))?\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/((-8)\/20). Is (-2 + (f - -1))*47 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 7*m + 718. Give k(30).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 36780234?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9148927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2061*n + 2062*n = 362. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 4*r + 6. Let m be o(5). Let l = 10 - 7. Solve q + h - m = -l*q, h = 2*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -3*s**8\/28 + 5*s**4\/4 + 19*s. What is the third derivative of y(g) wrt g?\nAnswer: -720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 3800 = -17*f + j, 4*j - 3825 = -5*f. What is the remainder when f is divided by 189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 11*f + 14. Let r be j(-10). What is the tens digit of r - (1 - (-4 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1042*b - 2949 = -59*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*n + 3*z + 120, -n + 763*z - 10 = 766*z for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*k - 35604 = 63*k. Calculate the remainder when 1481 is divided by k.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 4\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -848.611 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.09, 2233, 3, 8?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(308)\/(sqrt(22)\/sqrt(2)))*-3 + ((sqrt(343) + (sqrt(343) + 0)**2)*1 - (5 + (1 + sqrt(343) + sqrt(343) - sqrt(343)))).\nAnswer: -12*sqrt(7) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/30 + (-1120)\/(-50). Suppose z*a - 17107 - 2297 = 0. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 66*f - 243. Determine o(-62).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3078) + sqrt(38))*-6)\/sqrt(2) - (-1*-1*sqrt(19) + sqrt(171)\/(sqrt(9) + sqrt(36)\/sqrt(4) + sqrt(9))).\nAnswer: -184*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1396\/5 + 280. Suppose 5*b = 3*b - 2*p + 4, 5*p - 10 = 2*b. Let d be ((-1 - b)*0)\/(-2). Which is bigger: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = 2*b - 5*y, 3*b + 4*y = 16. Suppose x + 2 = 3*c + 3, 2*c = 3*x - 38. What is the least common multiple of x and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, n: 3, j: 4, f: 2}. What is prob of sequence jnf?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2 + (1 + 1 + 0)*(-2 - 2 + 6) + 1 + 1 - 4 - 2 + 2 - 2)*(-3*m - 2*m + m) in the form p + c*m and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108896 is divided by 495.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 5925899.\nAnswer: 5925880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*v + 6 = 71*v. Let c be (v\/4)\/(4\/(-1560)). Suppose 5*k + 3*b - 549 = 0, 0 = -3*k - 3*b + c + 138. 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: Convert 209380.2ug to grams.\nAnswer: 0.2093802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 368 and 40?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 62868.\nAnswer: 62868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*p - 22087 = 871*p + 41*p + 509 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f\/((f\/((f*f\/(f*f**(-10\/3)))\/f))\/f)*f)\/f**(4\/3))**38*f*f\/((f\/(f*f**(-2)\/f*f*f))\/f)*f**(-8)\/f*(f\/f**(-4\/5))\/f**(-8) assuming f is positive.\nAnswer: f**(1344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 141*m**2 + 71*m + 95. Let k(i) = 28*i**2 + 14*i + 19. Let f(t) = 11*k(t) - 2*x(t). What is the hundreds digit of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17605 to 3 dps.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 174 - 92 - 84 - 91*m + (-5 + 4 + 2)*(-3*m + 0*m + 0*m).\nAnswer: -94*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let s be (1\/((-2)\/(-2)))\/(-1). Let h be s\/(-4)*2*4. Which is the closest to f? (a) 0.3 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/((378\/9)\/7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/7*16170\/(-210)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -443906, 1, -2, 0.\nAnswer: -443906, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*j = 8*b - 46, -j = 182*b - 178*b + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(3\/(-12)*6))\/((-180645)\/5852898).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3504 and 1752?\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1824*w**2 - 32*w**2 - 1352*w**2.\nAnswer: -3208*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -3 - (9 - 4 - 5)) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 4, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -28. Let v be 0\/(2 - (-3 + k)). Solve v = 5*p - 2*u - 27, 3*u + 13 = 2*p - 0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*y, 0 = -y - 3*k - 0 + 4. Which is the closest to y? (a) -5 (b) -0.07 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 7*m + 8. Let d = -24 + 32. Let a be t(d). Which is smaller: 2\/9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 8 + 0 = 4*f, -4*r = 3*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 1. Let z be x(2). Let d(n) = 340779*n**2 - 340779*n**2 + 7 + 2*n**3. What are the prime factors of d(z)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 1, -33.6, -5, -0.3, 6\/5 in descending order.\nAnswer: 6\/5, 1, 1\/6, -0.3, -5, -33.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1 - (6 - 6)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106339\/1233 - -776\/9. Let j = m + 417\/274. What is the fourth smallest value in j, 2\/3, 0.5, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 4*b. Let n(t) = 9*t - 4 - 24*t - t**3 + 17*t. Let l be n(0). What is w(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w**5 - w**5 + 0*w**5 + (2*w - 6*w + 2*w)*(-w**4 + 0 + 0).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 + 14*y**2 - 75*y + 10. Calculate s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9629 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - d**4)*(0 + 4 - 2) - d**4 + 1 - 1.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-1521))\/((-60)\/(-260)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 17. Let n be z(-21). What are the prime factors of 6 - (-89 - n - -3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3986, 15890, 35720, 63494, 99230?\n\"Answer: 3*t**3 + 3945*t**2 + 48*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3464c (base 13) in base 2?\nAnswer: -10111010100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5*b)\/b)\/b**(2\/5)*(b**0)**7*(b**0*b)\/b*b**(-3)*b*(b*b*b*b**(-1\/6))\/b*((b**6\/b*b)\/b*b)\/b assuming b is positive.\nAnswer: b**(283\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1197 + -4069. Let v = -2872.20932 - z. Let b = v - -0.21. What is b rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*r + 4, 3*p + 3*r = -2*r + 1. Suppose -p = 56*b - 57*b. Let i be 6\/9*15\/2. Sort b, i, -4.\nAnswer: -4, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 17 = -3*h. Suppose h*i - 6*i + 8 = 0. What is the highest common factor of i and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -669*a**3*m**3 + 2*a**3 - 61*a*m**3 + 19*a*m wrt a?\nAnswer: -4014*a*m**3 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*w - 414*w - 1482*w**3 + 209*w.\nAnswer: -1482*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.621041 to two decimal places.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 39*o - 204 - 573 = 0, -38*h - 50*h - 3*o + 51 = -79*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(88))\/sqrt(11) - sqrt(48)\/sqrt(150))\/(sqrt(16)\/sqrt(4)*-4 - sqrt(16)*5).\nAnswer: 3*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w + 13. Let h be f(2). Let y be h\/58*(4 + -2). Which is the third biggest value? (a) 1 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 28 = -o - 6*j, -4*j = -8. Let a = -30 - o. Let t be 11 - ((-15)\/(-3) + -2). Solve -t = -a*x + 8*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 10, -109, -338, -713, -1270?\nAnswer: -2045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.21. Let k = 0.01 + s. Let p = -0.08 + 2.08. Sort p, -2, k in descending order.\nAnswer: p, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62913211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d - 14. Is 14 a factor of v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/8)*c**(-10)\/c*c**(2\/11)*c\/((c**(1\/12)*c)\/c) assuming c is positive.\nAnswer: c**(-2581\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*sqrt(1331)*-6 - sqrt(1331) - (sqrt(1331) - (sqrt(1331)*-4 + -4 - sqrt(1331))))*-6)**2.\nAnswer: 2930400*sqrt(11) + 1639939500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5223*k - 630*k**2 + 638*k**2 - 5217*k + 10440*k.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 863876 a multiple of 898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 787499.13 less than 3?\nAnswer: -787496.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbab when four letters picked without replacement from bhpwbaa?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 13)\/(2 + 17\/(-6)). Suppose -r*j = -121 - 23. What is the lowest common multiple of j and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 1308, 3083, 5606, 8877?\nAnswer: 12896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1333246789 and 623.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**4\/3 + 11*a**3\/3 - 13*a**2\/3 - 17*a + 18 = 0.\nAnswer: -2, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 12*q + 4. Let g be a(12). Suppose -g*l - 2*x = -4*x + 8, -4*l = -4*x + 16. Suppose l*u - 44 = -2*u. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-14\/9)\/(t**(-3\/31)\/t)*(t**13\/t)**(-22) assuming t is positive.\nAnswer: t**(-73784\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.76 + -0.24. Let s(j) = j**2 + 4*j + 1. Let f be s(-3). Let x be 2\/4 - f\/(-2). Which is the nearest to w? (a) 0 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(2\/7))**(-21)\/(w\/((w\/((w\/w**(-2\/5))\/w))\/w*w)*w*w**(-2\/7)))\/(w*w*w**9\/w*w*w*w\/w**(1\/2))**22 assuming w is positive.\nAnswer: w**(-12079\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 3. Suppose -c = -p + 2*p. What is the remainder when 28 - ((-4)\/2 - p) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.31 + -3.91. What is the smallest value in 5, -0.2, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 311630.1 to the nearest one thousand.\nAnswer: 312000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.73 - 76.8. What is the closest to 0.03 in -2, g, 4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1228039056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1256\/5 + 252. Let u be 74\/26 - (5 - 2). Which is the closest to -1? (a) h (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 228995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 177 + 190 = -l, l + 5*r + 33 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/(0 + -1). Suppose j = s - 198 + 41. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1874116685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 7980b9?\nAnswer: 798111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 5 + 25 + -54 + 104?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -2*n - 1\/720*n**6 + 1\/12*n**4 + 0 + 1\/40*n**5 + 0*n**2 + 0*n**3. Let q(o) be the third derivative of v(o). Give q(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2 + 212*l - 3630 = 0.\nAnswer: -121, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1139 - 1140. Sort 428, m, -5 in ascending order.\nAnswer: -5, m, 428","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 - 2*g**2 - 2*g**3)*(81*g + 54*g + 5 - 148*g) to m*g**3 + y*g + z*g**4 + k*g**2 + o and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5162438, -20649748, -46461932, -82598990, -129060922, -185847728?\nAnswer: -252959408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2cabe + -14?\nAnswer: 2caaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40981522 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 59712.27t in nanograms?\nAnswer: 59712270000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**5 + 172568*t**4 + 95894*t wrt t.\nAnswer: 40*t**3 + 2070816*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (4 - (-7 - -15))) + 2 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 369308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -166, -246, -326, -406, -486?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**2 + 46*m - 127. What is f(-9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62314840.\nAnswer: 2, 5, 7, 222553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d + m = 28*d - 44, -31 = -3*d - 2*m for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 10*y**2 + y. Determine h(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 1112762.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 + 11*m - 5. Let n be p(-5). Suppose 0 = -4*c + n. Suppose c*o = 12*o - 1594. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 4*f. Let s be 1 - (f\/(-2) - 2). Suppose 0 = -5*l - 10, -5*v + 16 = l - s*l. Which is the second biggest value? (a) v (b) -1\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.88717748 take away 0.699?\nAnswer: 38.18817748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.009 + 4.109. Let r = 4 - u. Let y = 0 + -4. What is the closest to r in y, -3\/8, 2\/11?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*d**2 - 345*d.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 986*g*u**2 + 237*g - 8238*u**2 + 17624 wrt u?\nAnswer: 1972*g*u - 16476*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 180623 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + 2 - (-28 - 5). Suppose 0 = h*a - 9*a - 69749. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14*s + 24. Calculate q(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 1. Let l = 449 - 448. Suppose -5*h - n = 2*n + 7, 17 = h - 4*n. Which is the closest to h? (a) 30 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 526 = -1203. Let r be ((-4)\/7)\/((-26)\/b). Which is smaller: r or 39?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -572642 (base 9) to base 5\nAnswer: -41440104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:34 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/38 + 213\/190. Put -3, v, 5, 3 in decreasing order.\nAnswer: 5, 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a minute in seconds?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2. Let r(t) = -5*t**2 - t**2 + 7*t**2. What is p(r(u))?\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31064?\nAnswer: 2, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -955779140 bigger than -955779138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**7\/840 + 7*t**6\/360 - t**5\/120 + t**4\/8 - t**3 - 7. Let q(p) be the third derivative of m(p). Is q(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 94229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 11:36 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 373973, 373975, 373979, 373985, 373993, 374003, 374015?\nAnswer: 374029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by -5\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.6564 + -0.1.\nAnswer: -3.7564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neeeenenezeyeen. What is prob of sequence eyee?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - 22) + -7 + 31?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 11. Let j(f) = -2*f - 22. Let k(o) = -2*j(o) - 5*x(o). Let y be k(-13). Suppose s + 0*s = y. Let n(h) = 4*h + 2. What is n(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1943649 >= -1943649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 5*u**2 + 4*u - 5. Let d be w(5). Suppose 3*z = 2*r + 60, d = -3*r + 8*r. Calculate the least common multiple of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = 3*x. Let j(u) = -7*u - 1. Let o be j(x). Suppose 16*a = o*a. Solve a = -0*q - 2*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**3 + p**2 - 284*p - 1843. Calculate f(-6).\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5201 >= 5201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -232*v. Let w(h) = 163*h**2. What is w(f(t))?\nAnswer: 8773312*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 25509283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2557*h - 9289 + 73433 + 13611 = 3602 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*n - 1259, 1251 = -w + 5*w + 5*n. What is the remainder when w is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1962 + -1975 - (-54 - 1)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -11*m - 65. Let c be p(-11). Let t be (-4)\/10*(-35)\/c. Sort -3, 66, t in decreasing order.\nAnswer: 66, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/10, -2\/15, 8, -3\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*j + 425 = -0*z, z = -5*j + 108. Calculate the remainder when z is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - p + 4*p)*(2*p**2 + 5*p**2 + 0*p**2)*(4 - 4 + 3).\nAnswer: -42*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 7*a**2. Let l(n) = n**2 + 4*n**2 - 2*n**3 + 10*n**2 + 0*n**3 - n. Let v(j) = -4*l(j) - 9*z(j). Suppose -2*h + 20 = 3*h. What is v(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -113. Let v = -0.08 + -0.22. Let j = -1919 + 1914. Which is the second biggest value? (a) j (b) -4 (c) i (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j**2 + 5*j. Let b(c) = 7*c**2 - 6*c. Let s(t) = 6*a(t) + 5*b(t). Let x(k) = -k. What is s(x(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 + -142.6. Let z = a - 17. Let i = 0.3 - z. What is the nearest to i in -3, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33108, 59333, 85558?\n\"Answer: 26225*i + 6883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 307\nAnswer: -153.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37699 is divided by 49.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s**4 + s**2 - 9*s**2 + 15*s**4 + 9*s**2 - 5*s + 2*s**4 - 2*s**3 in the form k*s**2 + h + w*s**3 + g*s**4 + t*s and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*z - 3*n - 8, 2*z + 5*n = -12. Suppose 2*s + 2*s + 11 = 5*k, 4*k = z*s + 8. Is 14 a factor of ((-92)\/(-12) - k)*(0 - -24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1173924 and 1686?\nAnswer: 329872644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, f: 3, o: 3, v: 1}. What is prob of sequence ffgf?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 2*d - 330852*d**2 + 661696*d**2 - 330841*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182918 - 181508 = -30*g for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 0, 5*w - 7966593 - 16933407 = -4*j. What is w rounded to the nearest one hundred thousand?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 254*z + 2*z**2 - 254*z + 16*z**4 + (0*z**2 - z**2 + 3*z**2)*(1 - 1 - z**2) - 2*z**4 + 2*z**4 + z**4 - 87*z**4 + 9852 - 9852.\nAnswer: -72*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 + 4*h**2 - h - 6. Let r be s(3). Let k = 28 + r. Suppose i - 7 = -k. Solve -i*f + 16 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8974, -35760, -80404, -142906?\nAnswer: -223266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3314514 + 7108\nAnswer: 3321622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 25 = -0*u. Let n = u + 53. Calculate the highest common factor of n and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 4*i + 8. Let h be t(-7). Let y = h - -18. Let k = 11 + -16. Which is the closest to -0.1? (a) -1 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 + 55 - 8691*n + 8687*n)*(2*n**2 + 0*n**2 + 11*n**2) to the form r*n + w*n**2 + a*n**3 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -10. Let h = 2\/23 + -395\/46. Let f = h + 8. Which is the nearest to 1\/2? (a) t (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 32755825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n - 3. Let p(y) = 14*y - 7. Calculate 7*m(u) - 3*p(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 - 100001100?\nAnswer: -100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 368590272 and 12224?\nAnswer: 368590272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 5*i + 24, -5*u - 52 + 19 = i for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*w + 126*w + 202 + 253 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = g - 26802001, -7074763 = -2*y + 2*g + 10793235. Round y to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-205 - (-117 - -29)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1836, -1833, -1830?\n\"Answer: 3*y - 1839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 1. Let b(v) = 3*v + 3. Calculate -b(p) + 4*o(p).\nAnswer: -7*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y - 18. Let h(j) = -9*j - 12. Let k be h(y). Suppose w - k = -w. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -1.22. Let j = -3.2 + 1.9. Let w = g + j. Which is the nearest to -0.1? (a) -2\/5 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101633.\nAnswer: 7, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1476\/21 - 8\/28. Suppose -5*r + o = 5*l, 2*l = -5*r + 6*l + 52. What is the least common multiple of r and 6*(28\/20 + 6\/(-15))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1540 (base 7) to base 16\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 71*d - 1396. Let h be o(-87). Let m(p) = p**2 + 6*p + 3. Let f be m(-4). Let z = 1.7 - -0.3. Which is the nearest to h? (a) 4 (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3427 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/30 + -4\/15. Let g = -39 + 40. What is the third smallest value in g, 0.7, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31\/571 + 1558\/2855. Find f, given that 9\/5*f**4 + q*f**5 + 0*f - 3\/5*f**3 - 21\/5*f**2 + 12\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 7:19 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643153.\nAnswer: 7, 139, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7921590 divided by 3\nAnswer: 2640530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6803641 at most as big as -6803639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26 + (-3)\/(-3))*308\/21. What is the greatest common factor of 44 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0*s - 1\/60*s**5 + 19\/6*s**3 + 0 + 19\/24*s**4 + 19*s**2. Is 19 a factor of a(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1436)\/(-3590)*5*(-2)\/24?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(3\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b**2 - 2*b**2 + 7*b**2)*(3 + 4 - 4) - 1 + 2 - 5*b**2 + 0 as v*b**2 + h + a*b and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -109*m - 375. Determine f(-2).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 17, r: 3}. Give prob of sequence bbbr.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 109*2.1247\nAnswer: 231.5923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 3*t + t)*(0 - 3 + 5) - 4*t - 10 + 22 - 9 + (1 - 1 - 2*t)*(1 + 0 + 0) + 35*t + 32*t + 17*t as k + b*t and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(1\/4))*t*t*t**(9\/2)*t*((t*t*t**(1\/2)*t)\/t)\/t*t*t*t*(t**(-5)\/t)\/t)**(-10) assuming t is positive.\nAnswer: t**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q + 1. Let w(v) = 3*v - 2. Let t(h) = -7*h + 5. Let f(p) = -2*t(p) - 5*w(p). Calculate 11*f(a) + 2*l(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 21, 52, 97?\n\"Answer: 7*q**2 - 4*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 1\/20*g**5 + 0 + 10*g - 3\/2*g**2 + 1\/3*g**4 + 1\/6*g**3. Let p be m(-2). Solve p + 1 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5430463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2324 = 2*o, -o - 3201 = -3*h + 281. List the prime factors of h.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29452 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 0.48389134?\nAnswer: -5.80669608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/19 + 1006188*w\/19 - 3018582\/19 = 0. What is w?\nAnswer: -503097, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - -1. Find the common denominator of (-2)\/a*(-235)\/(-6) and 55\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-20)\/(-4) - 129\/63 and 67\/255?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3091730 by -1545865.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-146.\nAnswer: 2774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 14 + 8)*(1 - 8*u - 1) + 5*u + u - 3*u as r*u + j and give r.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4601262 (base 7) in base 2?\nAnswer: -10001011101000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 10) in base 7?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 + -169\/2. Let u = -0.08 - 0.02. Put t, -0.3, u in ascending order.\nAnswer: t, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*a**2 + 11*a - 3*a**4 + 5*a**4 + 20*a**2 - 2*a**4 + 2*a**4 - 2*a**4 + (-a + 2*a - 2*a)*(-4*a**3 + 4*a**3 - 8*a**3).\nAnswer: 8*a**4 + a**2 + 11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16317554603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/28 of a week in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((9\/2)\/(-3))\/((-36)\/(-17328)). Calculate the common denominator of 15 and ((1*3)\/(57\/x))\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 - 10*f**2 - 2*f - 7. Let u be b(7). Let l be (-406)\/(-21) - 2\/(-3). Suppose l - 70 = -2*g. What is the greatest common factor of u and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55409 = t + 3*a, -67*t + 3*a - 166281 = -70*t. List the prime factors of t.\nAnswer: 2, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4562, 4523, 4458, 4367, 4250, 4107?\nAnswer: 3938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 2*h**2 + h**2)*(321*h - 28*h**3 - 30*h**3 - 321*h).\nAnswer: -232*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 559.08.\nAnswer: -1118.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(121) + -3*sqrt(121) - sqrt(121)) - (sqrt(121) - 1*(sqrt(121) + 1*sqrt(121) + sqrt(121))))\/(-1*sqrt(539)*2*5).\nAnswer: 8*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*c**2 + 1233 - 154*c**2 + 65*c**2 - 290)*(1 + 0 - 2).\nAnswer: 32*c**2 - 943","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + (sqrt(500) - -4*sqrt(500)))*-5 + -1 + -3 + 0)**2.\nAnswer: -8500*sqrt(5) + 312789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66667 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27257003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289977594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.12, 7, 1, -26.35?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = q - 3*a, -q + 2 = a + 1. Let c be (-5)\/(-1)*(-6)\/(-10). Find the third derivative of -4*h**2 - 118*h**3 + 118*h**c - 5*h**q wrt h.\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q + 1. Let y be l(2). Factor 1 + 11*v**2 - 9*v**2 - 2*v - 4*v + y*v**2.\nAnswer: (3*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 9. Let b be d(-12). Solve -2 = -2*q - b*j - 17, q + 4*j + 15 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/11 (b) 0.2 (c) -2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*s = -3*u - 19, 0 = 4*u - 2*s - 36 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.7077 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 8:08 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 4:16 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 22. Let p be a(-17). Solve -p*g + 0 = -5*v + 5, 5*g + 4*v - 22 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19468 divided by -3?\nAnswer: 19468\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1098 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 411774 and 4?\nAnswer: 823548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*z**5 - 242*z**4 + 143*z + 70?\nAnswer: -120*z**3 - 2904*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, -1.1, -5, -2, 149 in ascending order.\nAnswer: -11, -5, -2, -1.1, 0, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - 16 - 20 - -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 27 = 7, y = t + 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1108 - -1.3508. What is the fifth biggest value in -3, 0.1, -12, g, 1\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwgw when four letters picked without replacement from hwchhbcihiwhccg.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -312.08 - -310.08. Which is the second smallest value? (a) 2\/7 (b) z (c) -599\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -3*g**4\/4 - g**3\/6 - 6*g**2. List the prime factors of w(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4671*a**3 - 2524*a**3 - 1277*a**3.\nAnswer: 870*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 58 + 3 + 17 + 15 - 115*b + 12.\nAnswer: -115*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 - 4*q - 4. Determine x(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) + (-15)\/144. Let r = 1\/48 + o. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, d: 4, j: 4}. Give prob of picking 1 d and 1 m.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 4, -5, 5, -2, -8 in increasing order.\nAnswer: -45, -8, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwm when three letters picked without replacement from wmtmwmtwwbtmwbttmww.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and -187.\nAnswer: 28.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**2\/9 - 7460*l\/9 + 33281744\/9 = 0.\nAnswer: -3964, 2099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2170, -2111, -2052, -1993, -1934, -1875?\nAnswer: -1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m + 5*o, -3*m - m + 4*o = -8. Suppose 0*a - 4*a + 8 = 0, 5*z = -m*a + 29. Suppose z*i - t = 167, -i + 2*t = 4*t - 29. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + k**2 + 12*k**2)*(-3 - 4 + 10).\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114766 - 130102 = -142*q for q.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96416 divided by 23?\nAnswer: 4192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4002 and 496596.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -205, -319, -453, -613, -805, -1035, -1309?\nAnswer: -1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-1 + 13364\/(-40)). Let c = -1518\/5 + b. What is the common denominator of (-4)\/(-2) + 154\/24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -421648441283 + -7.\nAnswer: -421648441290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/57286024 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 74, 54, 26?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**3 - 27*u**2 + 25*u + 21. Let r be f(4). Solve h = -4*k - 3, -2*k + 7*h - 4*h + r = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 i when three letters picked without replacement from iiixiiziixzii?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*l - 31*l + 2970. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {n: 4, u: 1, e: 4, j: 2, w: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 - 2*g**3 - g**3 + (7*g**3 - 23*g**3 - 27*g**3)*(-2 - 2 - 10).\nAnswer: 599*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1073.6793 nanoseconds?\nAnswer: 0.000000017894655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/20601216 or -1?\nAnswer: 1\/20601216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 100032, 100028, 100022, 100014?\n\"Answer: -q**2 - q + 100034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 372 - -789. What are the prime factors of s?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*d - 3\/2*d**5 - 9\/2*d**3 - 3\/2*d**2 - 9\/2*d**4 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awju when four letters picked without replacement from {w: 1, u: 1, j: 2, a: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 550149.\nAnswer: 9902682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*l - 10, -2*l - h = -l - 1. Let i be (-4)\/l*(-2)\/(-1). Suppose 0 = i*n - 148 - 210. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**2 + 1. Let q(g) = 13*g - 9. Let b(x) = 3*x - 2. Suppose 3*c = -4 - 2. Let m(f) = c*q(f) + 9*b(f). Give m(h(y)).\nAnswer: -6*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -310208 equal to -310165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -4, 9, 3, 0.77, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 846 + -837. Suppose 14*v - m*v - 25 = 0, o = 2*v - 297410. Round o to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 1431?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6564, 23959, 52950, 93537?\nAnswer: 145720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 4*f - 6)*(f - f - 5*f) to the form n*f**2 + s*f + y and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 1. Suppose 243 = -3*c - 4*b, 5*c + 241 = 4*b - 132. Let j be (-7 - -5)\/2 - -79. Let y = j + c. Let k(a) = a. Determine y*i(t) + 2*k(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 + 155. Suppose -8*s + 12*s + q = z, -3*q - 3 = -3*s. Solve -4*p - 2*t = 11 - 3, -3*p - s = 2*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -5. Let p = a + -3. Let h = 1 + p. What is the third smallest value in 0, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**4 + z. Let t(a) = 6*a**4 - 8*a**3 + 52*a**2 + 313*a - 768. Let j(r) = -t(r) - 7*w(r). Determine d so that j(d) = 0.\nAnswer: -8, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -1 (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 10*v**3 - 14*v**3 + 6*v**3.\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 118.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or 118?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 10:19 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 13*d - 4. Suppose -538 - 8892 = -2*a - d*t, -4*a + 18805 = -3*t. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1555 divided by 62?\nAnswer: -1555\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3.2. Let a = 0.02 - -0.38. Let y = q + a. What is the second smallest value in y, -5\/2, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14242553?\nAnswer: 13, 1095581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3160\/10761 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - 21130?\nAnswer: -21001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/96*-2 + (-31)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 = 0, 3*c - 21 = 3*u - 6*u. Let t(z) = -2*z**3 + 3*z**2 - 1. Let q be t(u). Let o = 1.8 - 3.8. What is the biggest value in 1\/5, q, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 3*g + 60 = 0, -4*k - 2345*g = -2347*g - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700338606.\nAnswer: 2, 3, 11, 673, 15767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6035283.73 take away -0.2?\nAnswer: 6035283.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*u - 44 = 710*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - 89. Let b be (12\/k)\/(2\/5). Let y be 9\/3 - (4 - b). Solve -y*v - 20 + 5 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 1412)\/(-7)*-6*2\/(-24). Solve -20*r = -241 + d for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 j when four letters picked without replacement from vttjubjjjvuu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (182\/42)\/((1 - 3)\/42). Is -28 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-540)\/(-90) - (0 - 4331).\nAnswer: 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.012659878.\nAnswer: -0.050639512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 + 5*d - 5. Let l(j) = -5*j**2 - 6*j + 6. Suppose -k = 2*k - 15. Let r(n) = k*l(n) + 6*z(n). Let y(w) = 2*w**2 + 2*w**2 - 6*w**2. Give y(r(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1732509, 1732509, 1732495, 1732461, 1732401, 1732309, 1732179, 1732005?\n\"Answer: -r**3 - r**2 + 10*r + 1732501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 43. Sort 0, u, 2.\nAnswer: 0, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v)**(24\/11)*(v**(3\/5)\/v)**(-17\/3) assuming v is positive.\nAnswer: v**(-346\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 7) + 14 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 515 and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 3, w: 5}. What is prob of picking 1 g and 3 i?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/7767183?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1317*i + 344*i - 345*i.\nAnswer: -1318*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572687?\nAnswer: 572687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*(-18)\/(-12). Let p = 0 - 1. Let f = p + h. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 301252211 + 0?\nAnswer: 301252211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 7 - 41 = 0. Suppose -q*j + 1277 + 1279 = 0. Is 1 + (4 - 3) + j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-2)*5)\/sqrt(4).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - g - 43 = 0, -3*g = -4*m + 61 + 24. Calculate the highest common factor of 3751 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (3 + -8 + -5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 628853.\nAnswer: -2\/628853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/3 - 21896*k**2 + 57182304*k - 35968074624 = 0. Calculate k.\nAnswer: -35316, 1236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2409*f**3 + 3948?\nAnswer: 7227*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 188 = -65. Let f(g) = g**3 + 5*g**2 + 2*g + 6. What is the remainder when h is divided by f(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 5*w**4\/12 - 10*w**3\/3 + 10*w**2 + 11*w + 4. Factor n(u).\nAnswer: 5*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-165)*30 - (-55)\/(-15)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, x: 3, s: 1}. What is prob of sequence usx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14))\/((-468)\/273)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 38*w**2 - 16*w**2)*(-w**2 + 0*w**2 + 10*w**2).\nAnswer: -459*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21743*a**3\/6 + 43493*a**2\/3 - 43514*a\/3 + 28\/3.\nAnswer: -(a - 2)**2*(21743*a - 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1303, -2600, -3891, -5176, -6455, -7728?\nAnswer: -8995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8490 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3*s - 1 = -19, 9 = -2*c + s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 6:41 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286*-1.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - k + 8 = 0, -2*i - k - 28 = -6*i. Suppose -i*d = -3*d - 249. Let s = d + -17. Calculate the greatest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1986*l + 1986*l + 6*l**2)*(l**3 + 4*l - 4*l) + 5*l**5 - 16*l**5 + 12*l**5 + 9.\nAnswer: 7*l**5 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + m - 1. Let w(v) = 472*v - 29 + 4 - 451*v + 4 - 4*v**3 - 8*v**3. Determine 63*o(q) - 3*w(q).\nAnswer: -27*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 1. What is k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1051 or 61023\/58?\nAnswer: 61023\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2 - 6*x - 1. Let k(c) = c**3 + 7*c**2 + 5*c. Let o = 3 + -2. Suppose 2 + o = j. Let s(m) = j*v(m) + 2*k(m). Give s(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 0, -f + 0*f + 2*m = -1. Put -15, f, 2 in descending order.\nAnswer: 2, f, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:29 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 96\/115197685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10780*b - 7*b**2 + 32347*b - 10767*b - 10810*b.\nAnswer: -7*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35569466879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h - 3. Suppose -3*d + 0*l + 3*l = -15, 0 = -2*l - 10. Suppose -n = 2 - d. Determine f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 5:52 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/4 + r**3\/3 - r**2\/2 + 2*r - 1. Let g(f) = 6*f - 69. Let v be g(11). Determine a(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183*y - y**2 + 185*y + 3 - 697*y**3 - 368*y wrt y?\nAnswer: -4182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b - 45. What is a(-11)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*o - 37. Let l = -2 + 4. Let q(w) = 3 + w**l - 2*w**2 - 2 - 6*w + 3*w**2. Let z(t) = 6*t**2 - 17*t + 3. Determine o*q(i) + 6*z(i).\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27463 - 405*k + 27463.\nAnswer: -405*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -333+12.4795\nAnswer: -320.5205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2136, -28\/9, 2\/131.\nAnswer: -2136, -28\/9, -1\/3, 2\/131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**3\/3 + 105*z**2\/2 - 4*z. Let v be c(0). Let p = v - 73. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 21*z + 84. Let f be w(12). Which is smaller: f or 52?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4242\/(9 - 3) + 3. Suppose -q + 4*q = f + 1073, -2*q = 2*f - i. What are the prime factors of q?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/12)\/((-92)\/(-2576)). Let m(r) = r + 4*r + 3*r - 5*r + 1. Calculate m(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22854.71 micrograms to nanograms.\nAnswer: 22854710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*d + 1 + 1431*d + 55*d + 1997*d - 253*d to f*d + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/11466 and -5\/3508596.\nAnswer: 3508596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -62, -99, -118, -113, -78, -7?\n\"Answer: h**3 + 3*h**2 - 53*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.02 + 0.02. Suppose -5 - 3 = -2*o, 2*t = 2*o - 18. Which is the nearest to q? (a) 0 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4)*0)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -235*k - 15079. Give i(-86).\nAnswer: 5131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 142 = -4*i, 6*i - 334 = -4*l + 8*i. Calculate the lowest common multiple of l and 141.\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 4356*h + 21830.\nAnswer: -2*(h - 2183)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4971, 9830, 14689?\nAnswer: 19548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656770 at least 2656785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99959 - -171865. List the prime factors of y.\nAnswer: 2, 157, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.5 - -0.3.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 7306152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 600 - 106. Suppose d - 522 = p. Let r = d + -12345\/14. Calculate the common denominator of r and 41\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2308399855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6491649 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11339142 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.48 - -0.02. Let j = 23.1 + -21. Let a = j + d. What is a rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 5 = -u + 51, 433*u - 429*u - 328 = -2*g for u.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**2 - 3*l - 1 + 2*l**2 - 3*l**2 + 11*l. Let j(g) = -g**2 - g. Give -5*j(y) - k(y).\nAnswer: -y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 15*z + 1165 = 1131, 5*z = -3*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 15, 3*h - 82 = -2*h - n. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*g + 12, -g + 11 = 101*p - 98*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 2*i - 3*i. Suppose -3*y + 6*y - 5*l - i = 0, -5*l = -4*y + 42. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 3 (c) 5 (d) -2\/2145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/12 - 1473\/(-9). Suppose 4*q + g = 496. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 31) + -2 - (-24 + -8 + 22)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, 274, 5.\nAnswer: -24, -3, 5, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 690504.012 and 0.1?\nAnswer: 690503.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*z + 4*o = -9, 2*o + 12 = 2*z. Is 13 a factor of z\/8 + (-933)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -42. Suppose -v*p + 5*p = f - 388, -p + 5*f = -156. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from euggoetjojeejgetego. Give prob of picking 1 e, 1 t, 1 u, and 1 o.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) - -4*sqrt(65)*-2))\/(sqrt(5) + sqrt(80)*4).\nAnswer: 8*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 178240.187 to the nearest 100.\nAnswer: 178200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/10)\/((-1)\/(-25)). Let h = -10 - q. Suppose -2*z - 4*s + 2*s + 24 = 0, -z + 3*s + 4 = h. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4485 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z + 15 = 0. Suppose 0 = 2*y - 0*y - z*b - 280, b = 0. What is the remainder when 20 is divided by (-12)\/(-54) + y\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3070 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 406*u**2 + 10*u - 1. Calculate the remainder when a(-3) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -114777058, -229554116, -344331174?\n\"Answer: -114777058*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 0.8, -1483, 4, 1\/9, 5 in descending order.\nAnswer: 5, 4, 0.8, 1\/9, -4\/3, -1483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 15)\/((-1)\/(-3)). Suppose q = 37*i - 36*i + 41, 0 = q + i - 33. Suppose q*b - l*b + 464 = 0. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f - f + 0*f)*((-f - f + f)*(5 + 3 + 1) + 74 - 23*f - 74) in the form j*f**2 + z + q*f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s = -68*s + 28*s - 42 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-98))\/(1\/(-84)*-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from tnttknttkk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007469 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70552100?\nAnswer: 2, 5, 705521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 20*z - 3148. Let h(y) = -14*y + 3148. Calculate -2*f(i) - 3*h(i).\nAnswer: 2*i - 3148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -13 - 12. Let s be 1\/((-1)\/2) + k. Let w be (27 + s + -3)*1. Calculate the greatest common divisor of w and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/902 - -23873\/9020. What is the common denominator of 10\/(-4) + (-7)\/((-2240)\/734) and j?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1588?\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 46 = -t, -214*s + 219*s - 5*t - 10 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -5.1. Let m = -3 + z. Let q = 5.978 + m. Round q to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.40081 + 0.60081. Which is the closest to 4? (a) 0.39 (b) 1\/3 (c) u (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20))\/((-19)\/(-76)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2713580 (base 9) to base 7.\nAnswer: -15424521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 7*z + 47 + 13 = -12*z, 0 = -5*p + z + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 162 + a3a94?\nAnswer: a3c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 2*x - x + (-2 + 2 - x)*(-3 + 0 + 4) + 3*x + x - 5*x - 7*x + 7*x - 26*x.\nAnswer: -29*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70554007.\nAnswer: 70554007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 21*k**2 + 0*k**5 + 0*k**4 - 3\/14*k**7 + 0*k**6 + 0*k + 0 + 31\/6*k**3. What is the first derivative of n(x) wrt x?\nAnswer: -180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13078*y + 231678*y + 40484*y.\nAnswer: 259084*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 + 115. Let j(k) = -k**3 + 6*k**2 + 7*k + 4. Suppose -5*o + 48 = 13. What is the smallest common multiple of v and j(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121310.\nAnswer: 2, 3, 5, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -678 + 767. Suppose 0 = 27*i - f*i + 49662. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24343 and 40964?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 118 - 82 - 81.\nAnswer: -2*c**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/13, -1, -70?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2022 and 50\/507897?\nAnswer: 342322578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25693 - 17291. What is the thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/3 - (-6)\/(-9). Let f(i) = i**2 - 9*i - 8. Let j be f(n). Suppose 1 = j*k - 5*d - 18, -d + 13 = k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 7203?\nAnswer: -7201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 5*c**4\/4 - c + 8. Let p be (-4)\/14 - (-18)\/14. Let m be g(p). Put m, -2, 5 in decreasing order.\nAnswer: 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = 0, -36 + 53 = -2*h - l. Let r = -1.0958 - -0.0958. Which is the second biggest value? (a) 1\/5 (b) r (c) h (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 1, g: 1}. Give prob of sequence qd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 h when three letters picked without replacement from {h: 8, b: 2, a: 5, m: 2}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 10 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 2*c + 29 + 34 - 29.\nAnswer: 2*c + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -31*((-1410)\/(-16) + -1). Let g = o - -2693. Let f = 60\/209 - -9699\/3344. Find the common denominator of f and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2100 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 416867903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*1*(12\/4)\/(-66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 236*(-3)\/108 - -7. Factor 0 - v*b + 2\/9*b**2.\nAnswer: 2*b*(b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -592238.7.\nAnswer: -296119.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 9 (c) -2 (d) 133 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91608 and 824472?\nAnswer: 824472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 2)*7\/(-2). Let q(w) = w**3 + 6*w**2 - 10*w - 5. Let x(k) = k + 9. Calculate the least common multiple of x(-7) and q(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**2*b))**(-1\/32)\/(b\/b**(5\/4)*b*b**(-3)) assuming b is positive.\nAnswer: b**(71\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -33 - 3. What is the smallest common multiple of 6 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 31*x - 106. Calculate s(-30).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n - 45*n + 70 = 0. Suppose -a - 3*c = -n, 5*a - 4*c = 6*a - 18. Solve 4*w + a*v - 10 = 0, -v - 14 = -5*w + 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205 + 200.2. Let y = p + 4.6. Let g = 0.8 - 0.83. Which is the nearest to 0.1? (a) 2 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3\/6*(-1)\/(120\/80).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54244 (base 7) to base 13.\nAnswer: -61c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 6339746*c**2 + 38038484*c\/3.\nAnswer: -2*c*(c - 2)*(c + 9509621)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -13120 at least -0.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/3 - 671438*l**4\/3 + 447652*l**3 + 24172088*l**2\/3 + 59087024*l\/3 + 14324096 = 0.\nAnswer: -335721, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 465\/25 + (-3)\/5. Suppose 3*o = 12 + v. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) -3314 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Let r = 3.42 + -0.22. Let k = r + -3. Which is bigger: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*s + 17, 2*l + 2 - 7 = s. Is l equal to 8\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67\/5 + -229\/20. What is the common denominator of y and (-105)\/(-4) - (0 - -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:36 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 487340 and 728?\nAnswer: 12670840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-3)*97\/(-1552) + (-77251)\/6. Which is smaller: -12873 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)*h**6*(h*h**(2\/7)*h)**(-1\/11) assuming h is positive.\nAnswer: h**(369\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x**2 + 1. Let r(y) = 7*y**3 - 3*y**2 - 2*y - 6. Let w = -3 + 4. Let p(k) = w*r(k) + 5*v(k). Calculate p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from {w: 2, g: 2, i: 4, t: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -218*r**2 - 4*r - 6. Let y(s) = s + 2. Determine m(o) + 3*y(o).\nAnswer: -218*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11771739?\nAnswer: 3, 7, 59, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -40, -34, -50, -94, -172, -290, -454?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 876737.9 weeks?\nAnswer: 6137165.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**2 - 2790*k - 2795 = 0.\nAnswer: -1, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d**2 + 2*d**3 + 16 + 0*d**4 + 2*d**4 + 13*d**2 to m*d + v*d**2 + o + q*d**4 + l*d**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1139*g**2. Let r(a) = 235*a + 209. Determine r(n(m)).\nAnswer: 267665*m**2 + 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7))**(-45)*t**(-1\/5)\/t*t**(1\/2)*t)**46 assuming t is positive.\nAnswer: t**(-20217\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, -57, -227, -477, -813, -1241, -1767?\nAnswer: -2397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22186 - -22190. Let m(o) be the third derivative of 0 + 0*o**3 + 1\/960*o**6 + 3\/16*o**j + 0*o + 23*o**2 + 1\/40*o**5. Let m(c) = 0. What is c?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/6)\/((((-4)\/(-16))\/((-6)\/(-8)))\/(-1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7340*p**3 - 11285*p + 4.\nAnswer: -44040*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -12. Suppose w*q - 15 = q. What is the greatest common divisor of 24 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from {t: 2, k: 1, c: 2, a: 3, b: 2, s: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 225 + -222. Solve 4*a + 10 = 3*k + 1, 0 = y*a - 4*k + 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113303026?\nAnswer: 2, 56651513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10))**(6\/25) assuming d is positive.\nAnswer: d**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -37*k**3 + k**2 + k - 1. Give z(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1906, 1894, 1860, 1792, 1678, 1506, 1264?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 23*i**2 + 24. Let u(h) = h**3 - 22*h**2 + 26. Let k(a) = 6*q(a) - 5*u(a). Let l be k(28). What is the highest common factor of 28 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 32, 10, -1.2, -2\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149937 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44853 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 15*h - 28*h - h**3 - 3 + 6 to g*h + m*h**2 + f + s*h**3 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8675647?\nAnswer: 19, 456613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*w - 129*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/6))**(-4\/19)*(c*c**(-3\/4))\/(c*c**(-13)) assuming c is positive.\nAnswer: c**(2833\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 + -101. Suppose 0 = -0*t + 3*t - 18. Calculate the smallest common multiple of t and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23\/3? (a) -3\/2 (b) 0 (c) 4\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 4*h - 3. Suppose -4*b - 9 = -25. Suppose g = 2*g + b. Let i = g - -6. Calculate p(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6*r = 5*d + 20, -4*r = -3*d + 14. Which is the closest to r? (a) -1\/6 (b) -2\/7 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 4*l - 3. Let w be f(-5). Suppose -3*k = -w*k - 10. Let n(h) = 18*h + 2. Let z be n(1). Calculate the greatest common divisor of z and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -0.1 (c) 4 (d) 1.2277 (e) 286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/4947 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - (-3*sqrt(228) - sqrt(228) - sqrt(228)))*-6)\/(-6*sqrt(120)\/sqrt(10)))**2*-2.\nAnswer: -1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let g(a) = -11*a**2 + 47832*a + 9. Determine j(g(i)).\nAnswer: -22*i**2 + 95664*i + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 13442 - 28678. What is the highest common divisor of g and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14 - (-9 + 19\/((-5852)\/(-2677)))\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(60)\/sqrt(192) - (5 + sqrt(5) + 3 + sqrt(5) + sqrt(5)))**2 + -1).\nAnswer: 88*sqrt(5) + 1661\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 7*r**2 + 11*r + 1. Let v(z) = -z**3 - z**2 - 2*z. Let g(y) = o(y) + 3*v(y). What is g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) 0 (c) -1\/2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1264a10 (base 11) to base 10\nAnswer: -2188054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 426876.0552 rounded to the nearest 10?\nAnswer: 426880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000923 rounded to 5 dps?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 998 = 2*f + 20*z - 16*z, -4*f + 2056 = -2*z. Solve -f*l + 518*l - 42 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9512?\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 11. Solve w - 19 + x = -4*c, -c + 21 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 10251.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbrbrbbbbbbbbrbbbr. What is prob of sequence brbb?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000111100110111000 (base 2) to base 8.\nAnswer: 2074670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -15*h. Let b be r(1). Let p be 38\/10 - 3\/b. Let s = -2 + p. Solve u + s*u = -15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-424)\/((-123808)\/1095)*(-12)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqxx when four letters picked without replacement from {x: 5, q: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168256 is divided by 28002?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -5 (c) 3 (d) 264 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - w - 5. Let t(c) = -c**2 - c - 4. Suppose -5*m - 7*q = -3*q - 14, 0 = -5*m + 4*q + 6. What is m*z(a) - 3*t(a)?\nAnswer: -a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - -4. Suppose 42*x - i*x = 10. Solve 2*t = -2*j - x, 11 + 8 = -5*t + j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i + 5*b - 2 = -102*i, 0 = -5*i + 5*b - 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 115107746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11*1\/2*4. Let a = z - 6. Calculate the least common multiple of 6 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 6420.2881283717?\nAnswer: 6422.2881283717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 4 - 22)\/(61 - 60).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*a**2 - 5*a**3 + 2*a**6 + 62*a**3 + 5*a**3 + 54*a**3 wrt a.\nAnswer: 240*a**3 + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1229622 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(55\/(-240)) + -3. Calculate the highest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z + 16. Let v(a) = -a + 3. Let c be 1 + -18 + (0 - -7)*(-2)\/(-14). Let f be 4 - 2\/(-4)*-2. What is c*v(w) + f*r(w)?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)\/x)\/(x*(x**6\/x)\/x)*x*x*x**1\/x*x\/(x\/(x**7\/x))*x)\/((x\/(x*x**(-1\/4)))**(-44)\/(x\/x**0*x)**(-35)) assuming x is positive.\nAnswer: x**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.3 (c) 4 (d) 0.07 (e) -6 (f) 7 (g) -68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 279442?\nAnswer: 27944.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2163 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 459505168*g**3*v**2 - 958063*g**2*v + 259*g*v**2 wrt g.\nAnswer: 2757031008*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 1314289?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 4. Suppose 12 = -i*x - x. Which is bigger: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = 4*b - 19, 5*b - 5 = 0. What is the derivative of -3*k**4 + 0 + 0 + u wrt k?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/3*(-136)\/6528*2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k - k + 8*k + 0*k + 29*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111010 - -1000101110100101?\nAnswer: 1000100110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 198.086121 seconds?\nAnswer: 0.0022926634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (682\/6138)\/((-48)\/(-135))\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -35 + 2*s**2 + 14*s**2 + 2*s - 9*s**2 - 5*s. Let g(v) = -13*v**2 + 7*v + 70. Let b(n) = 3*g(n) + 7*m(n). Find the first derivative of b(p) wrt p.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 137*y\/5 - 54\/5.\nAnswer: -(y - 27)*(5*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -24*o**3 - 21*o. Let q(l) = 5*l**3 + 4*l. Let t(a) = -2*a**2 - 2*a + 39. Let j be t(-6). Give j*q(x) - 4*y(x).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5.4, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*f + 31 = 0, 17*a - 21*a + 2 = -2*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 123*q**2 + 190*q - 63. Let g be t(63). Which is smaller: -1\/830 or g?\nAnswer: -1\/830","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -2*v + 18, -3*v = -2 + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*x**2 - 67*x**2 - 102*x**2 + 204*x**2.\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-223)\/(-84) - (-314)\/3297. Sort 226, 9, z in increasing order.\nAnswer: z, 9, 226","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, b: 3}. Give prob of sequence nbnb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (9 + -20 - (2 + -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -187321024*g**2 - 983*g - 48564 wrt g?\nAnswer: -374642048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6\/(-15)*-10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f - 5. Let i be d(4). Let h be (-8)\/(-6) + (-14)\/i. Solve 4*k = h*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2031, 2034, 2037?\n\"Answer: 3*t + 2028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -370, -1478, -3324, -5908, -9230, -13290?\n\"Answer: -369*q**2 - q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884613153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18 - (-33)\/(-27). Let g(t) = -6*t**3 - 2*t**2 + 1. Let o be g(i). Factor -1\/3*u**3 + 0*u - 1\/3*u**4 + 1\/3*u**2 + 1\/3*u**o + 0.\nAnswer: u**2*(u - 1)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 4:24 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 + 4*z**2 - 3*z + 1. Let t be a(2). Is 1 + 6 - 13\/t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -244 and -100 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*h + 6*t + 26, 0 = 5*h - 5*t - 30. Is 1 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*o**2 + 5*o + 19.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/12475 and 58\/107285.\nAnswer: 536425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266987 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 214140 and 46812?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 1)*(2*l**3 - 8*l**2 + 8*l**2) + 3*l**3 - 1 + 1)*(4*l - 6*l + l)*(3 + 1 - 2)*(3*l - 3*l + l).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(27)*-3 - sqrt(27)*5*3)\/((sqrt(144) - -2*sqrt(144) - sqrt(324)*-1)*3).\nAnswer: -sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 3, -117, -285?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-4)*(-64)\/(-352). Suppose -m - 13*j + b = -11*j, -4*m - 4*j = -16. What is the remainder when 58 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-2 + (-11 - -11)) - 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*t - 284*t**2 + 9*t**3 + 269*t**2 + 22*t as a*t**2 + j + g*t + x*t**3 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -634 - -636. Let j(u) = 10*u**3 - 35 + 2*u**3 - u**2 - q*u + 18 + 19 - 11*u**3. Give j(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 - 47 - 32*n**2 + 89 as j*n + q + o*n**2 and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 135. Let b = p - -68.659. What is b rounded to two dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 4, w: 11, s: 3}. Give prob of picking 2 w.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 84, 81, 76, 69, 60, 49, 36?\n\"Answer: -z**2 + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3955542?\nAnswer: 2, 3, 29, 127, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 5:08 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - ((-8)\/5)\/((-158)\/(-2990545)). What is the highest common divisor of 233 and i?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxxb when four letters picked without replacement from {f: 2, b: 4, y: 1, x: 3, v: 7}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 136827*u + 3. Let o(y) = -30*y**2 + 2*y. What is v(o(l))?\nAnswer: -4104810*l**2 + 273654*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*j**4 - 66*j**4 + 14*j**4 - 4*j**4 + 4*j**4 + j**4 + (2 - 2 - 2*j)*(j**3 - 2*j**3 + 3*j**3) + 0*j**4 + 4*j**4 - 2*j**4.\nAnswer: -100*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (-8)\/4*2. Solve -3*x - 5 = m*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/3 - 251930*f\/3 - 1007752\/3 = 0. Calculate f.\nAnswer: -4, 125969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22181073?\nAnswer: 3, 17, 434923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 132075342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(198\/20)*(-72)\/60\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 9) to base 16.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.9 (b) -1\/2 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 + 148*o - 768. Let c(r) = -65*r**2 - 1960*r + 9985. Let k(i) = -3*c(i) - 40*x(i). Factor k(m).\nAnswer: -5*(m - 9)*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/33)\/(0 - (-1)\/(-561)). Let p = -134 - -145. What is the greatest common divisor of f and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 + 58 - 375*n + 44 + 54.\nAnswer: -375*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17784, 34254, 50722, 67188, 83652, 100114?\n\"Answer: -x**2 + 16473*x + 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2. Let y(d) = 74*d**2 + 2*d - 1. Calculate -6*a(q) - y(q).\nAnswer: -68*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 562\/1861?\nAnswer: 562\/1861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*h**3 - 972 + 1861*h**4 - 1320*h**3 - 9730*h**3 - 11448*h + 21777*h**2 + 38*h**4 - 204*h**4 - 81*h**5 = 0 for h.\nAnswer: -2\/27, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1\/5, 99, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1767101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + x + 2*x - 4*x + 4*x + (-x + 0 + 0)*(-3 + 2 + 2) + (3*x - 5*x - x)*(-2 + 1 - 2) - 1 + 1 - 3*x as r + t*x and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 7*r**4\/12 + 9*r. Let d(i) = 4*i**2 + 3*i + 3. Let f(a) = 7*a**2 + 5*a + 5. Let o(t) = -5*d(t) + 3*f(t). Give o(w(z)).\nAnswer: 49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 7:39 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - r + 14 = 0, r - 3*r = -4. Let m(g) = 9*g**2 - 2*g - 9. Let u(l) = -4*l**2 + l + 4. Let f(o) = 3*m(o) + 7*u(o). Give f(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2\/x)\/((x*x**14*x)\/x*x))**(-29) assuming x is positive.\nAnswer: x**435","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-18)\/(-21))\/((-1347)\/(-168) + -8) and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77954.\nAnswer: 2, 38977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 79115*q - 237354.\nAnswer: (q - 79118)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 188 = 797. List the prime factors of g.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 1)*(0*j - j + 3*j) - 6*j + 27*j + 56*j to c + p*j and give p.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7984\/3 - -2661. What is the closest to -0.1 in -83, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 44*h**4 + 17*h**2 + 29*h + 17. Let n(t) = -15*t**4 - 6*t**2 - 10*t - 6. Let x(p) = -6*l(p) - 17*n(p). Find the second derivative of x(d) wrt d.\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-290)\/(-4 - -9). Let t = -1013\/2 - -521. What is the common denominator of 2 + (1888\/b)\/(-8) and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24786281, -49572557, -74358827, -99145091, -123931349, -148717601, -173503847?\nAnswer: -198290087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**7\/280 - k**6\/60 + k**5\/40 - 5*k**4\/12 - 2*k. Let q(b) be the third derivative of h(b). Suppose q(i) = 0. What is i?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 1647?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x - 1196 = -70*x. What is the smallest common multiple of 4 and x?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 15. Put h, -1\/5, -5 in decreasing order.\nAnswer: -1\/5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15094 * 0.6\nAnswer: 0.090564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*v = -59, -44 = 5*j + v - 149. Suppose j = 5*z + 2. Solve 12 = -z*c - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-39)\/(2 - 92\/44) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d + 29. Calculate m(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/23407422 and -119\/5112.\nAnswer: 280889064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5582, -22467, -50664, -90179, -141018, -203187, -276692?\n\"Answer: -x**3 - 5650*x**2 + 72*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 - 2.1. Round x to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + 3 - 2*c**2 + 7*c + c**2 + 0. Let j be r(3). What are the prime factors of (-1)\/j + (-48)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 44275018168.61.\nAnswer: 44275018169.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1 - 24*f + 42*f - 5. Let s be u(2). Let m = 39 - s. Solve 2*h - 20 = 5*z, -3*z - 3*h = -m*h + 26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.2 + -9.2. Sort 0.01, -1, a in descending order.\nAnswer: a, 0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 242.62.\nAnswer: 485.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 41*d - 1302 = 0. Suppose -5*m - d = -2*q, 6 = q + 2*m + 3*m. What is the greatest common factor of q and 1264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 2:45 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19619 - 19619.0007981. Round n to five dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) -53 (c) -6 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3145*t**2 - 8*t + 18. Let k be n(2). Suppose -k - 1596 = -34*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.464? (a) -14 (b) 0.4 (c) -1\/10 (d) 9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 12\/8)*26. Suppose 0 = r - 5*n - 7, -3*n + 23 = 4*r - 74. What is the derivative of 3*j - 11*j - c*j + r + j wrt j?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r + 6551 - 8051. Calculate the lowest common multiple of r and 270.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1639 + -417. List the prime factors of m.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-6 + 5 - -5) + -13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 3*f**2 - 2*f + 6. Let v = 81 + -79. Suppose 5*d - 22 = 3*t - v*t, d + 5*t + 6 = 0. Let s be l(d). Solve -s = -3*p - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 8:09 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1607 - 1611. Let k(s) = 3*s**2 + 7*s + 3. Let r(b) = -b**2 - b + 1. Let q(t) = k(t) + 2*r(t). What is q(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let y(t) = -30*t. Calculate -y(o) + 36*z(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 21*s - 640. Calculate c(38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-1 + -12 + 11)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*n + 11*n + 57. Suppose 0 = -3*u - 3*z + 9, z + 0*z - n = -3*u. Calculate the lowest common multiple of u and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r + 38. Let w be t(-7). Suppose w*v - 35 = -2. Calculate the greatest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -13) + (-40 - -33 - (0 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3849 + 7704. Does 11 divide m\/39 + (-28)\/(-182)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -450*u**3 - 57149940*u**2 + 7619998*u - 254000 = 0. Calculate u.\nAnswer: -127000, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49*24\/(-84) + -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*i - 3. Let x be i\/((-6)\/(-4))*1. What is the first derivative of w**x - 12 + 2*w**2 + 10 wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 42*x. Let s(o) be the third derivative of -7*o**4\/12 - 1295*o**2. Calculate c(s(u)).\nAnswer: -588*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5025 divided by 3?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + (-1*(0 + sqrt(468)))**2 - -3*sqrt(468)*-3) + -4*(sqrt(832)*-6 + sqrt(52) + (2 + sqrt(52)*-2)**2).\nAnswer: -380 + 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*g + 6. Let v be 51\/7 + 4\/(-14). Let n(u) = -8*u**2 + v*u**2 - g - u + 0*u**2. What is n(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 58*l + 1792. Determine h(-92).\nAnswer: 4920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 784 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6630 divided by 2210.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 4 + 86*j - 1830*j**2 + 902*j**2 + 928*j**2 - 3*j**3.\nAnswer: -4*j**3 + 86*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52.6 and 54976.\nAnswer: 2891737.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1646406 + 987224 = 196*s + 75830. Does 87 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 c, and 1 i when three letters picked without replacement from {r: 2, e: 1, z: 1, c: 5, i: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1368*s - 2449*s + 14943 = 99261 for s.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 372 - 340. What is the lowest common multiple of a and 742?\nAnswer: 11872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 592 and 22.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) -3 (c) -0.1 (d) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 - 5525.350376193?\nAnswer: -5433.350376193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 1. Let s = -26 - -41. Let u(r) = -s*r**3 + 7*r**3 - 6 + 9*r**3 - 7*r**2. Give -6*q(i) - u(i).\nAnswer: -i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 + -96. Solve -f*x + 8 = -u, 0 = 3*u - 2*x + 5 + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157516573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038103 is divided by 545.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(12\/489)*-2.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, 7455.\nAnswer: -15, 5, 7455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 48*l + 0 + 62*l to s + z*l and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 3. Suppose 6*i = 3*i + k. Find the first derivative of -2*x + i - 2*x + 3*x wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (78 + -117).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 149474, 149576, 149680, 149786, 149894?\n\"Answer: g**2 + 99*g + 149374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*r - 182 - 203. Sort -26, r, 2 in decreasing order.\nAnswer: r, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from peeepppieii. What is prob of sequence epii?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -517 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 33*s**2 - 14806*s - 19819. Give x(450).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 11:53 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 820164575 and 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -13. Solve -3*f + 5*c = -15, 4*f - g*f = 5*c + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, v: 1, s: 3, d: 3, u: 1}. What is prob of sequence qdvs?\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3511 + -652.6089. Let p = x + 655. Which is the third smallest value? (a) -5 (b) 10 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(3) - sqrt(3)*2)*3 - sqrt(3)))*-5.\nAnswer: 20 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153305*b - 153307*b - 71 = -3*q, 3*b - 2*q + 94 = 0 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*(-152)\/2. Suppose -3*p - 5*w + 34 = 0, -5*p = -4*p - 2*w + 7. Suppose h - p = l. What is the remainder when l is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69755925517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 3 = 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 5*f**2 - 2*f - 6. Let k be g(6). Suppose -4*u + 3*x = -14, -3*u + 4*x = 2*u - 18. Suppose -q + k = u*q. Solve 0 = 5*v + q + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1 (c) -0.5 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3788 - 7?\nAnswer: -3792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2315 from 15.2719.\nAnswer: 2330.2719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 5. Let v be s(8). Let j = v - -7. Calculate the remainder when 33 is divided by (9\/(-3))\/1 + j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 27 = -3*z + 3*n, -3*z - 5*n = 4. Suppose 12 = -3*i + z*i. Suppose w = i*w - 106. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 1 - 1 + (-3*a + 0*a + a)*(3 - 2 + 0) - 2 - 2*a + 2 + 3 - 3 + 2*a + 19*a + 0*a - 2*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11337 - 11306. Solve -5*r - 2*s = 15 - p, 0 = -3*r + 4*s + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*h = -162*h + 1485 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 + 0*z**2 + 0*z**2 + (-z**2 + 0*z**2 - z**2)*(-z - 3*z + 2*z).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-156)\/308*(-64)\/(-12). Let y = t + 36\/11. Let w = 2.85 - 0.85. Which is the smallest value? (a) -4 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109868993 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 723083 + -31\nAnswer: 723052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 2, 50, -215?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 408 = -202*a, -3*u + 0 - 4 - 1 - 8 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = -9. Let p be (-114)\/12 - (-2)\/y. Find the common denominator of (1\/6)\/(p\/186) and -7\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let s be 6 - ((1 - 0) + r). Suppose s*a - 10 = -a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -337 divided by 358\nAnswer: -337\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -26.9. Let l = 0.6 + i. What is the closest to 2\/9 in -2, l, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, -25, -146, -347, -634, -1013, -1490, -2071?\nAnswer: -2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2135 divided by -61.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**7\/5040 - w**6\/144 + w**5\/15 + 3*w**4\/8 - 47*w**2 + 1. Let h(j) be the third derivative of s(j). Calculate h(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 27*j**2 + 19*j + 69. Let b be i(-26). Suppose -2*x + 74*f + 504 = 77*f, x - b = -f. What is the greatest common divisor of x and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/502 and 14\/83583?\nAnswer: 167166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1272 or 1263?\nAnswer: 1272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 + 245. Let g = f - 110. Let i(z) = -z**2 - 4*z - 3. Let y be i(-3). Solve y = g*w - 27 + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*u - 214613, -5*f + 66766 = 3*u - 62008. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/(-5))\/1*1\/1)\/(27288\/(-34110)).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 3995833 = 6*s. Let t = 166949 - s. Round t to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1.41031766636.\nAnswer: -0.58968233364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 - -80\nAnswer: 80.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (0\/(-1) - -17). Suppose u = -0*u + x. Let p = -20 + 72. What is the remainder when p is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4525256074 to the nearest integer?\nAnswer: 67270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29 (b) 120018 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 117 = -226. Let s = 52 + g. Solve -3\/2*u**2 + 0 - u - 1\/2*u**s = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34352344 - 12?\nAnswer: -34352400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 + 0.57. Let o = 0.0368 + 3.9632. Put o, -18, -3\/4, q in increasing order.\nAnswer: -18, -3\/4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17078828 is divided by 52.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 4, t: 1, j: 4, r: 1}. What is prob of sequence rjts?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*b + 105*b = 3*o - 2, -3*b + 10 = 2*o. Solve -2 = 7*y - o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72246487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 59742?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 1 - 3*s + 7*s)*(-1 + 3 - 1).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 753622 to the power of 1\/2, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**4 + 4*t**4 - t**4 + (6*t**4 - 4*t**4 + 0*t**4)*(-8 - 8 + 4) to the form n*t + i*t**2 + s*t**4 + o + k*t**3 and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -23134707.\nAnswer: -2\/23134707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a**4 + 330*a**3 - 996*a**2 + 696*a + 288 = 0. What is a?\nAnswer: -2\/7, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1 = -0*w - w, -3*d = 0. Let g = -20 + 42. Suppose -8*x = -10*x + g. What is the lowest common multiple of w and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3 = -6*f - 9, f = -5*i - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-18) + ((-2440)\/9)\/(-5). Let l = 57 - t. Let b be -1*(1 + 2) - -2. Let o(r) = -r - 1. Let z(c) = -2*c - 3. Determine b*z(w) + l*o(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*z**4 - 168*z**4 - 5*z**3 + 3*z**3 + (0*z**3 - 4*z**3 + z**3)*(3*z - z + 0*z) to the form i*z + h*z**2 + g + s*z**4 + r*z**3 and give s.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6650208.\nAnswer: 2, 3, 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**2 - 11774*t - 187872 = 0?\nAnswer: -5871, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4690347 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*f + b + 33, 2*f = -5*b - 24. Let q(y) = -5*y + 1. Let c(o) be the second derivative of 2*o**3\/3 - o**2\/2 + 5*o. Calculate f*c(m) - 6*q(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154903833?\nAnswer: 3, 7, 359, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9531043 is divided by 9531039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978 a factor of 470671034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 2:44 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(130))\/sqrt(10) + -4 - (((sqrt(52))**2 + sqrt(13))*-4 + sqrt(13) + -4)) + -5.\nAnswer: 5*sqrt(13) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 23, 29, 33, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36125 + 36120. Put g, 5, -10, 8 in descending order.\nAnswer: 8, 5, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 (base 9) in base 13?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/((-1)\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2377*k - 28692 - 78273 = 0 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*z + 120, 3*u + 0*z + 4*z = 76. Let h be 10\/40*36 - -11. What are the prime factors of h*9 - (u - 16)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 323345.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10432003*a + 14957851 with respect to a.\nAnswer: -10432003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -5. Let b be 2 - (f - 1) - -3. Suppose k = b*k - 56. Calculate the lowest common multiple of 20 and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*q = 20, 8*v - 1352*q + 1354*q + 2 = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z + 3*z + 4*z + 3*z + 9*z - 4*z + (-2*z + 0 + 0)*(5 - 2 - 1) - 2*z + 0*z + z to the form y*z + l and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/2724618 and 59\/60.\nAnswer: 27246180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 1\/11 (c) 2 (d) -1048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 40\/12)\/((-1)\/(-66)). Suppose -4*v + t = -106. Which is greater: v or 31?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 + 2*l**2 - l**2 + (-l - 3*l - 2*l)*(38*l + 153*l + 71*l).\nAnswer: -1575*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 7*i**2 + 6*i + 2. Calculate o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000090196 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/168 and 1\/63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, e: 4, b: 10, p: 1, k: 1}. What is prob of picking 2 w, 1 p, and 1 e?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 181*u**3*v**2 + 9494744*u**3 - 4475*u**2*v**2 wrt v?\nAnswer: 362*u**3*v - 8950*u**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1692 + 1692 + 6*m**2 - 2*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 117973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -369 - -402. Suppose 5*h - 1295 = -5*x, 0 = -4*h - 2*x + 401 + 639. What is the remainder when h is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 867 = 133*r - 596. Let n = -6 + 303. Calculate the highest common divisor of n and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1651719 or 1651729?\nAnswer: 1651719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 982461 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p + 8 = 4*q, -5*p - 3*q + 6 = 0. Let v be ((-8)\/(-10) - p)\/(50\/2125). Calculate the greatest common divisor of 238 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-10)*345\/(-207). Let z = -7 + 5. Which is the nearest to 8? (a) z (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32439 - 32400. Let w = -461 - -812. Calculate the highest common factor of w and l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 1850b726?\nAnswer: -1850b728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/43, 0, -25, -0.12, -4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(((-18)\/10)\/(-3)). Solve -l + 7 - 15 = n, -5*l - 4*n - r = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 51. Let j(g) = g - 6. Let p be j(9). Let c be 0*p\/6*2. Which is bigger: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (323\/34)\/19 - (207\/(-6))\/(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -14a3?\nAnswer: -14a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3585 and 13894743.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9999152, -19998302, -29997448, -39996590, -49995728, -59994862?\n\"Answer: 2*i**2 - 9999156*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1187 = f - 4896, 3*d - 5*f - 3633 = 0. Which is bigger: 1213 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 159738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -114. Suppose 2*t + 109 = 3*u, 4*u - 4*t = 21 + c. Suppose 3*z - 53 = -5*w, 3*w + 0*z + 3*z = u. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjfjjjrffcc. What is prob of picking 2 j and 1 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8509 - -8512. Let d(k) = 3*k**3 + 7*k**2 + 2*k + 3. Let z(x) = -4*x**3 - 8*x**2 - 3*x - 3. Determine f*d(n) + 2*z(n).\nAnswer: n**3 + 5*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 394 + -192. Suppose -4*t = -o - 102. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.932 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16\/5 - -58\/15. What is the nearest to 5 in 3\/7, -0.07, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11002002 (base 3) in base 4?\nAnswer: 232130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = 4*j. Let k(n) = -n**2 + 8*n - 14. Let z be k(j). Solve 3*y - y - z = g, -3*g - 5 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2) - -1*sqrt(2)*-6).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Let k = 6 + -4. Is k less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232224132 (base 6) to base 3\nAnswer: -22010001011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408 + 1235 - 414 - 2*u**3 - 413.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 50. Suppose 12*l = t*l + 6. Suppose 5*s - 17 = -4*r, 0*r - l = -2*s - 2*r. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4797 (base 13) in base 4?\nAnswer: -2131233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14154672 and 1848?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and 0.01.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 13. Let y be w(12). Let k = y - -1. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/17)*w*w)\/w*w**(-22))**(9\/2) assuming w is positive.\nAnswer: w**(-1611\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 18*t - 3. Let r be p(-17). Let j be 2*(-6)\/84 + 2\/r. Solve j = -5*b + 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -1976?\nAnswer: -196b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6*k*(k*k**(-2))\/k assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minus 6103280536?\nAnswer: -6103280429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 9 = 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43707*l - 43779*l = 4176 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3997 times -0.8\nAnswer: -0.31976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -j - 11*k + 1197, 1181 = j - 3*k. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a + 29*a + 4*h = 21, -3*a - 3*h + 36 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -16, -21 in decreasing order.\nAnswer: 2, -5, -16, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26613099.\nAnswer: 3, 73, 40507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -3932 (c) 1.709 (d) -3\/4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413798?\nAnswer: 2, 19, 63521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2850\/(-646))\/(36\/(-408))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*r = 29, -4*r + 7 + 1 = -3*d. Suppose 0 = -d*g + 59 + 9. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11103 - 211021\/19. Which is smaller: -10 or h?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (1 - 10) + -14 - (8 - 20) - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528932781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -169535047691 less than 0.1?\nAnswer: 169535047691.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26731\/14, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**6\/48 - n**5\/40 - n**4\/16 - 3. Suppose v(b) = 0. Calculate b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkkywkeeww. What is prob of sequence ewyw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((9\/3)\/6). What is the derivative of 5 - x**2 - d*x**2 - 6*x**2 + x**2 wrt x?\nAnswer: -20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 320128008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from xgkxkm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -31, -0.9, 5.\nAnswer: -31, -4\/3, -0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y + 6. Let s be (y\/2)\/(9\/24). Find the second derivative of 2*u - 2*u - 14*u**s + 6*u**4 - 10*u wrt u.\nAnswer: -96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + i**2 - 1 + (-2*i + 0 + 0)*(-i + 0*i + 0*i) - 2*i**2 - i**2 + 4*i**2 + 17*i**2 + 2*i - 744 + 7*i**2 + 745 in the form j*i + x*i**2 + t and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**7\/5040 - h**6\/80 + 17*h**5\/240 + h**4\/12 + 3*h**2 - h + 5. Let f(c) be the third derivative of d(c). Factor f(b).\nAnswer: (b - 17)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203122333 (base 4) to base 3.\nAnswer: -21101000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 64*1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3157\/205 - 17)\/(((-8)\/(-70))\/2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36957 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + 2*b - 95. Let k(u) = -20*u + 5. Calculate k(a(v)).\nAnswer: 40*v**2 - 40*v + 1905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -418, 0, -1, -5 in descending order.\nAnswer: 0, -1, -5, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -197, -397, -663, -995?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374510 is divided by 1498.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 18*u - 41. Give v(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91035275.\nAnswer: 5, 149, 24439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3062475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -67. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**6 + 10*l**2 + l**6 - 4*l**6 wrt l?\nAnswer: -840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*o**6 + 771*o**3 + 23*o**2 - 718*o.\nAnswer: -2520*o**3 + 4626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-2 - (-5 - -1)) + 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 4\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5 = -22. Let s = 7 - a. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17169, 34345, 51525, 68709, 85897?\nAnswer: 103089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -4. Let w be u\/(1 - (-3)\/(-2)). Let v(z) = 7*z - 2 + z**w + 0*z**2 + 4. Determine v(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -8*u. Let c = -56.4 - 8.6. Let j = c + 67. What is the nearest to 1\/2 in u, j, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 12.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566687737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from bxxsxcvbwwcs.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0135 - -0.2865. Which is the closest to 4? (a) 1\/4 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzczyyycylycycczlcl. Give prob of picking 2 l and 1 c.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-6)*45\/(-20)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/851 and 55\/24817?\nAnswer: 918229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*c**2 + 11*b**3*c*d**2 + 4*b**2*c**2*d**2 - b**2*d + 2*b*c*d**2 + 5 wrt b.\nAnswer: -12*c**2 + 66*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpwtltwtwewh. Give prob of sequence elhp.\nAnswer: 1\/11880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**6\/15 + 8*g**5\/25 + g**4\/2 + 4*g**3\/15 - 11. Factor t(l).\nAnswer: 2*l**2*(l + 1)**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxzxkwx. What is prob of sequence kw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1 - 7) + ((-414)\/(-2) - 196)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50728418 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3\/9 + 22*o**2\/9 + 64*o\/9 + 56\/9 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/96 and -77\/2707776?\nAnswer: 2707776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p - 153 = 26*p. Let h(q) be the second derivative of -q**5\/20 + q**4\/6 - 2*q**3\/3 + 4*q. Let z(x) = -x**2 + x. Determine p*z(k) - h(k).\nAnswer: k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 2*h + 62. List the prime factors of i(0).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 5*t - t)*(-3 - t + 3)*(0*t - 2*t + 4*t) - t**3 + 6*t**3 + 2*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 23638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13214*q**3 - 25382*q**3 - 35969*q**3.\nAnswer: -74565*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49977663 by 4.\nAnswer: -49977663\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2 + 6*h**3 + 1 - 3*h**4 - h - 5*h + 0*h**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 12*k**2 - 11*k + 12. Let x be u(13). Suppose -4*y - 37 = -p, -5*p + 3*p - 4*y = -x. Suppose 0 = 4*f - 401 + p. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*o + 31, -v - 4*o - o - 19 = 0. Let l = -2.48 - 7.62. Let t = l + -1.9. Which is the biggest value? (a) 0 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 34. Let m be l(30). Which is the third smallest value? (a) m (b) -2\/7 (c) -343\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t - 3. Let i be m(-3). Let w be -1 + (-16)\/i - (-4)\/14. Let x = 1.2 + -0.2. What is the closest to x in -3, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 - z - 262 + 121 to the form a + q*z and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2 + 0)\/(6\/(-242)). Let k = 61 + r. Sort k, 5, -2\/69, 4 in ascending order.\nAnswer: -2\/69, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 2 + sqrt(272) + -1*sqrt(17)*-2 - (1 + ((sqrt(425) - (0 + sqrt(425) + sqrt(425))) + sqrt(425))**2).\nAnswer: 1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 - 1. Let y = -3.3 - r. Let n = -17.2 - -17.7. What is the second biggest value in n, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -13\/112, -0.4, -51, 0.94, 0.1?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 3 = 3*w, -268675112*w - f + 3 = -268675109*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/35 - -9\/70. Let y = -48.2 - -48. Sort -0.3, y, b in decreasing order.\nAnswer: b, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - h**3 + 2 - 6*h**3 - 5*h**3 - 11*h**3 + (-4*h**2 + 5*h - 2*h**2 + 4*h**2)*(-4*h + 0*h + 2*h) in the form t*h**2 + p*h + l*h**3 + d and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1585\/1013 - -12905537\/9117. Is l <= 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-4))\/(((k**(2\/31)\/k)\/k)\/k))**(-28) assuming k is positive.\nAnswer: k**(56\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -5 + 205 + 0. What is the highest common factor of 29 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18382, 0, -2 in descending order.\nAnswer: 18382, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*b + 10, -5*y + y + 3*b = -29. Suppose d + 5*x - 9 = 0, -y*d - 9 = -2*x - 0*x. Sort 1, 3, d.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 5712.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 9:54 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -147\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*r + 23. Put -2, r, -1\/6 in decreasing order.\nAnswer: -1\/6, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7886 - 7878. Solve 4*g - 4*b - j = 0, 0 = -2*g - 0*b + b + 8 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 4) + (-3)\/(-1). Let m(g) = 2*g**3 - g**2 - g + 1. Let d be m(w). Which is the second biggest value? (a) 3\/4 (b) 2\/23 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*(5976\/(-3984))\/((-1)\/(1\/3)).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/7 + 1320\/21 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-18)\/(2\/(4 - 6)) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/11)\/a)**(-29))**3 assuming a is positive.\nAnswer: a**(1305\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7*a - 2\/7*a**2 - 8\/7.\nAnswer: -2*(a - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wckkffkffbkkkffkcff. What is prob of sequence bw?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4928 - 4924. Let z = 0.15 - -1.65. Let d = -2 + z. Which is the third biggest value? (a) d (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*f**5 + 11*f**2 - 4?\nAnswer: 2400*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/127870 and 137\/5882020.\nAnswer: 5882020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -130, -153, -206, -301, -450, -665, -958, -1341?\n\"Answer: -2*w**3 - 3*w**2 - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 890*c - 894*c + 4 = 0, -3*c + 8 = -5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*v = -6*v - 14, -5*v - 10 = 5*b. Solve -b = -2*z + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-4)\/sqrt(8) - (-3 + sqrt(1053)).\nAnswer: -13*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88861 is divided by 84.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 20, 32 = 2*h + 3*u - 1. Let v(g) = h*g - g + 6*g. Let s(i) = i**2. Calculate v(s(q)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17128818 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 i be (-4)\/(-6) + (-4)\/(-12). Suppose i + 1 = -g. What is the units digit of 9\/(1 + (-1)\/g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165066\/21054 + (-15)\/(1740\/(-8)) - (1 + 7)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:31 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4521 or -10?\nAnswer: 4521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13 + 7)\/(2\/(-1)). Sort 0, -3, q, 2 in descending order.\nAnswer: q, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uixuv. What is prob of picking 1 i and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 242*v + 1556. Let g be o(-6). Let a = -402\/5 - -80. What is the smallest value in a, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/15 - -1\/3. Sort c, -2\/11, -4, -5 in increasing order.\nAnswer: -5, -4, -2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 + 0.01. What is the smallest value in -2, u, -3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*u - 961*u + 486*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:21 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 351 + -341. What is the remainder when 39 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5. Let u be i\/((-2)\/(-4)*-1). Calculate the smallest common multiple of 12 + -3 + u\/2 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*x + 29, 5*o - x = -5*x - 38. Is (o - -5) + 44 + 0 + 3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)\/sqrt(5) + sqrt(6) + -4*sqrt(6)*-1)\/(sqrt(64)\/(sqrt(8)\/sqrt(4))) + -5)*-5.\nAnswer: -45*sqrt(3)\/4 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/28 - 5*h**3\/14 + 279*h. Find p, given that t(p) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 341\nAnswer: 102.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaakaaakaaka. Give prob of sequence ka.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*(k*(k\/k**8)\/k*k)\/k)**42 assuming k is positive.\nAnswer: k**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3 + 108*s**2 = 0 for s.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 2442.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/44)\/(19\/((-27588)\/(-198)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -17*f**7\/7 + 6*f**3 - 24. What is the third derivative of j(m) wrt m?\nAnswer: -2040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1270 + 1498. Is 0 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8024 take away -0.4?\nAnswer: -0.4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 15. Let c(l) = 0*l**o - l**3 - 7 - 5*l**2 - l**2. Give c(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9*j + 70 = 6*j, 3*j + 6 = 0. Suppose -3*f - 11*b + 13*b + 9 = 0, 4*f = -4*b + t. Solve 2*i + 4 = -4*l + 10, 4*i = -l + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -20 - (6 + 216\/(-12)). Suppose -4 + 0 = 2*q. Sort q, 3, x in ascending order.\nAnswer: x, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/(2\/60*-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 19*p**2 - 19*p + 21. Let l be s(18). Suppose 26 = l*q + 125. Let i = 41 + q. What is the greatest common factor of i and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 - 2409 = -21*l. Solve -2 = 95*y - l*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u + 875 = 182 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8 + -0.2. Let p = -1.1 - -1. Let l = 0.5 - -3.5. Which is the smallest value? (a) h (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34547 + -34543. Factor -24\/5*k - 3\/5*k**5 - 3\/5*k**2 + 3\/5*k**n + 3*k**3 - 12\/5.\nAnswer: -3*(k - 2)**2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 837487 and 2646763?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4005 in -2\/11, 4, 1\/12, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35618758.\nAnswer: 2, 7, 563, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 187.1?\nAnswer: 187.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 311 = 153. Let b(a) = 2*a - 3. Let o be b(11). Let i = o - j. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108046 and 42364?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48695 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 88\/8 - -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 7, p: 5}. Give prob of sequence ka.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 9, -5731.\nAnswer: -5731, -8, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 8*f + 36 = -6*f, -27 = -5*j + f. Which is the nearest to -8? (a) -1 (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122202 (base 3) in base 6?\nAnswer: -5332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a + 82. Calculate v(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0873749 - -0.31\nAnswer: 0.3973749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*((-5)\/(-10) - 1). Suppose -4*d - 3*v + 97 = 16, 67 = m*d - 4*v. Calculate the remainder when 125 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aua. Give prob of sequence ua.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - t + 16. Let g be n(-5). What is the greatest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**8\/504 + z**7\/315 - z**6\/180 - z**5\/90 - 16*z**2. Factor a(o).\nAnswer: 2*o**2*(o - 1)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -473, -703?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.98 + 0.02. Let g = o + -5. Put g, 4, 1 in descending order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 + 79. Let h = t - -143. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 15*r - 34. What is the lowest common multiple of 12 and u(-9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 4, 19, 32?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17431564082 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -15. Which is the closest to 1? (a) -0.4 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 27*v - 31. Calculate q(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 1134?\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 326*z**3 - 295*z**3 + 622*z**3 + 2 + 1.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t + 13*t + 1101 - 438 - 4*t)*(3 + 3 - 5)*(0 + 1 - 2).\nAnswer: -19*t - 663","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1829 + 1942. What is the remainder when 670 is divided by r?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*k**2 - 98*k**2 - 452*k + 61*k**2.\nAnswer: 29*k**2 - 452*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12448 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(500)*-1*-4 - (1 + sqrt(500) + -1 + 3)) + 5.\nAnswer: 2 + 190*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -7.6 (c) 325.3 (d) 14 (e) -0.3 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r + 5 = 0. Calculate the remainder when 25 is divided by (-5)\/(-15)*(r - -20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16509200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, 9, 15, 21?\n\"Answer: 6*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 (base 12) in base 13?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(21) - sqrt(105)\/sqrt(5)*-1) + sqrt(84)*6)\/(sqrt(567) + sqrt(567)*2 + (-2*sqrt(42))\/sqrt(6)).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 802813 by 1.\nAnswer: 802813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4288 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 20*h = 15*h - 5587, -4*p - 4*h = 7460. Let l = p + 18711\/10. Find the common denominator of l and 47\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -885.2578 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 30376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3401 - 3339. Let y(h) = -3*h**3 - h**2 - h. Calculate the remainder when k is divided by y(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 6 + 22 - 24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46768, -46770, -46774, -46780, -46788, -46798?\n\"Answer: -i**2 + i - 46768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1846 = -4*z - z + s, 0 = -s - 1. What is the highest common factor of z and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g + 0*g + 2*g + (104 + 29 + 28 + 41)*(4*g + 2*g - 4*g).\nAnswer: 410*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 86843, 86844, 86859, 86894, 86955, 87048, 87179, 87354?\n\"Answer: y**3 + y**2 - 9*y + 86850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 8 = -2*g, -12*m - g + 28 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -5 - (1 + -3) - (268 - 267).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (139\/(-3))\/((-2)\/6). Let p = -215 + t. Let d be p\/16 - 1\/4. Put 1, d, 4 in decreasing order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 4\/3 (b) 1\/21 (c) 3039\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 595901*f**2 + 2 + 595902*f**2 + 349*f - 1191798*f**2 - 91*f as j*f**2 + v + i*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3. Let j(u) be the third derivative of u**5\/60 + 48*u**2. What is 2*j(v) - w(v)?\nAnswer: 2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in 1, 3, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 21 = 12*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -8 - 8. Let t(o) = -o**3 + 3*o**2 + o. What is the lowest common multiple of f and t(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1056 (b) 16 (c) 0 (d) 3 (e) 1\/43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) + -3 - sqrt(468)) + sqrt(468))**2 - sqrt(468))*4*-4.\nAnswer: -7632 + 672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1131 - 1128. Which is the closest to 3? (a) n (b) 1\/2 (c) 0.1 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(((s\/s**3*s)\/s)\/s))\/(s**(-10)*s))\/(s*s**(8\/3)*s**(3\/7)) assuming s is positive.\nAnswer: s**(208\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*(sqrt(209)*-2 - sqrt(209)) + 2*1*sqrt(209) + sqrt(209))\/((sqrt(704)*-5 - sqrt(44))\/sqrt(4)) + 1 + 1)**2.\nAnswer: -6*sqrt(19)\/7 + 220\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -4. Which is the third smallest value? (a) j (b) -2\/9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/11 (b) 25 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 42. Suppose 3*v - d = -3*i, 3*v + 32 = 2*i + v. Suppose a - 5*a = -164. What is the remainder when a is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 10*i**2 - 7*i + 14. Suppose 3*f + 25 = -2*t, -3*f - 3*t - 15 - 9 = 0. Let n be j(f). What is the units digit of n\/2 - -175 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 592*u**2 + 4622*u + 4032.\nAnswer: 2*(u + 1)*(u + 7)*(u + 288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 3}. Give prob of sequence xxy.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1803 + 7.8197. Let p = 4 - 0. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 3978200*m**2 - 989129702500*m.\nAnswer: -4*m*(m + 497275)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27, 3, 2 in ascending order.\nAnswer: -27, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*s*s*s**5*s*s)**2*s**(2\/19)\/(s\/(((s*s**(4\/9))\/s*s)\/s))*s**(-4\/5) assuming s is positive.\nAnswer: s**(17741\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*t + 49*t**3 + 137*t - 200*t to the form h + g*t + f*t**3 + k*t**2 and give f.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:53 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11 = 5*i - 6, -3*i = -5*w + 12. Put -2, w, -1 in decreasing order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*2\/4*-2. Let u(i) = -5 + 4 - 4*i**2 + d*i + 2*i**2. Let t(x) = -x**2 + 2*x - 1. Let h(n) = -11*t(n) + 6*u(n). Determine h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 10*k**2 + 8*k + 17. Let u(j) = -2*j - 7. Let p be 4\/(-5)*(-50)\/20. Let q be u(p). What is the tens digit of f(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 18. Let i = 14 + o. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/8*4\/3. Find the third derivative of -y**3 - 3*y**3 - y**3 - 3*y**k wrt y.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 15 = -5*w + 2*x, w - 5*x + 3 = 0. Solve 0 = f + 4*m - 13, -w*f + 6 = 3*m - 0*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**19)**(-6\/11) assuming x is positive.\nAnswer: x**(-114\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 837126950 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10455*q**2. Let c(v) = 157*v. Determine c(n(j)).\nAnswer: -1641435*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208 + 213. Suppose 0*p = 3*p + 9. Let l be 1*2\/(-1) - p. Sort l, 4, j in decreasing order.\nAnswer: j, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f*v**4 - 12*f*v**3 + 65*f - v**4 - 2*v**2 wrt v.\nAnswer: -120*f*v - 72*f - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*d = -4*d - 39, -258 = -5*a - d. Let m(w) = -w**3 + 13*w**2 - 42*w + 157. What is the remainder when a is divided by m(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4264225122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = 3*h - 33. Let t = -29 + 30. Let b be 6\/(-2) + 17 + t. Put -5, h, b in decreasing order.\nAnswer: b, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynonoyzroryyyonproo. Give prob of sequence ro.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28171.5 - 28172. What is the second smallest value in -1.1, 9, t, -8, 1\/7?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -661.0367221 from -7.\nAnswer: 654.0367221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {c: 2, s: 1, u: 4, n: 6, m: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26557 divided by 119?\nAnswer: 26557\/119","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(432) + 2 + (2 + sqrt(432))*2 + 2)**2.\nAnswer: 432*sqrt(3) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34113 divided by 2?\nAnswer: 34113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/1 - 529\/(-115))\/(-1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -503 * 0.4\nAnswer: -201.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 9:25 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i**3 - 6*i**2 - 2*i + 11. Let g(l) = l**3 - l**2 + 1. Let c = 16 - 15. Let q(b) = c*v(b) + 5*g(b). Is 14 a factor of q(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1024 (base 6) to base 13\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 90768135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -185 and -7.541?\nAnswer: 177.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1072 - 38*y**3 - 1071 + 9*y**4 - y - 7*y**4 in the form v*y**2 + b + n*y + z*y**4 + x*y**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -152, -364, -666, -1058, -1540?\n\"Answer: -45*t**2 + 13*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 1089*c + 7532. Let f be q(7). Let w be (-22)\/4*-1*2. Solve f*u = w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13076 <= 169994\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11693739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10*d**2 - 2*d - 18. Determine r(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10571334.\nAnswer: 2, 3, 19, 47, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 318?\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 68986 = 5*f, -3*r - 2*r + 4*f = -86253. Let w = r - 35908. Let b = w + 503737\/27. What is the common denominator of -53\/18 and b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 14508.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1\/3, -5, 2, 0.14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/17)\/((u\/(u**27\/u*u))\/u)*u**10*u**(-38) assuming u is positive.\nAnswer: u**(-18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1 (c) -36 (d) 2\/7 (e) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70479 - 3919 = 2576*m + 8729 - 695 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 204*b**2*k - b**2 - 128*b*j - 3*b*k - 2*b + j*k + 136*j + 33*k wrt k?\nAnswer: 204*b**2 - 3*b + j + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 8 = -5*s - 2*z, -3*s = z - 16. Factor s*a - 4*a - 3*a**3 - 2 + 4*a**2 + 0*a.\nAnswer: -(a - 1)**2*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1772927066.3 + -0.3\nAnswer: 1772927066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2724836*c*g - c + 59304*g - 10 wrt c?\nAnswer: 2724836*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 10:23 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 3, -0.5, -302, -18, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Calculate the lowest common multiple of 8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 905\/2, -0.9 in descending order.\nAnswer: 905\/2, -0.9, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -0.4 (b) 0.3 (c) -852.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 11979283218495 and -7.\nAnswer: 11979283218488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200202 (base 3) to base 11.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9155.414 milliseconds?\nAnswer: 9.155414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34551, -34560, -34573, -34590?\n\"Answer: -2*q**2 - 3*q - 34546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d + d. Solve -4*c - 7 - 1 = d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1116 + -891. Which is smaller: 223 or p?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5370*j + 1248 = -5325*j - 192 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d. Let j(p) = -2*p**2 + 4*p + 3. Let f(g) = 2*g**2 - 3*g - 2. Let r(m) = 4*f(m) + 3*j(m). Let k(q) be the first derivative of r(q). Give a(k(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 411 and 269637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-9))\/(10\/6)*(-190)\/114.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 62.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -22 + 13 - (-430)\/50. Which is smaller: x or -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 6, c: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = b + 56. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:43 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 14*d + 10. Let b(z) = 2*z. Calculate a(b(i)).\nAnswer: 8*i**2 + 28*i + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-194)\/4)\/((-18)\/14940). Suppose 0 = -3*k + y - 67199, 3*k + 3*y + m + 26948 = 0. What is k rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**5\/4 - f**4\/4 - f**3\/4 + f**2\/4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1 - 2\/(-2). Let h be (126 + -27)\/(-11) + 8\/1. Which is the second smallest value? (a) k (b) 2\/5 (c) h (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/3)*n**14)\/(n**(5\/3)\/(n*n**(2\/9))))**7 assuming n is positive.\nAnswer: n**(875\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3285 greater than or equal to 16431\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + -4. Let n = -8.1 - h. Sort -0.5, n, 0 in ascending order.\nAnswer: -0.5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1345, 2689, 4033?\nAnswer: 5377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*y. Suppose y = 4*k - 3*k - 246. Suppose 2*z - 5*z + k = 0. Round z to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 999, 2368, 4651, 7848, 11959, 16984, 22923?\nAnswer: 29776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 25944?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 21 = -4*y + 5*b, -4*y + 27 = -b. Let f = 318 + -241. What is the highest common factor of f and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-979)\/(-2) + (-60)\/(-24)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 4*z**4 + 3*z**4 + 0*z**3 + 2*z**4 + 0*z**3 + (-z**3 + 1 - 1)*(20*z + 2*z + 12*z).\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154737 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 5\/6 (c) 6 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 26. Suppose -n*x = -c + 4*c - 79, -c + 2*x + 37 = 0. Suppose 0*s - s - c = -4*o, 0 = o - 4*s + 4. Calculate the least common multiple of 22 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.008, 0.5, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*264.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300002 (base 4) to base 16.\nAnswer: c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.1 - 28. Let s = 7 + p. Which is the third biggest value? (a) s (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1416*n + 12. Suppose 5*f + 0 - 185 = 0. Suppose 5*t - g = f, 0*g = -4*t + 4*g + 36. Let r be o(t). Round r to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 67. Let b be (-4 + 2 - (-1 - 0)) + 6. Suppose 2*r - b*o - 5 - 40 = 0, 2*o + 6 = 0. Calculate the highest common factor of f and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40679.3l to millilitres.\nAnswer: 40679300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644141 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695*l - 35488 - 24956 = -275*l + 456*l for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.01 (b) 50 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 35. Let o be (-1 - -2)*(-4 + 3). What are the prime factors of (3\/w)\/(o\/19)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 2*a)*(1 - 1 - 5*a**2) + 3*a**3 - 2*a**3 + 0*a**3 + 12*a**3 + 20*a**3 - 23*a**3.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**(-2\/5))**34 assuming p is positive.\nAnswer: p**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1. Let p(o) = -4464 + 3*o + 4470 + o**2 + 2*o. What is p(m) - 6*x(m)?\nAnswer: m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/5, -0.093, 2\/9, -1.3, -7\/5, 0, -0.6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-4 - (-364)\/(-12))\/((-3)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 11*q + 24. Solve -q = 2*h - 2*k, 4*h + 3*k - 8*k + 18 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 521545068*z**3 + 1564635186*z**2 - 1564635180*z + 521545059.\nAnswer: 3*(z - 173848353)*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59879512 and 159236.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (22 + -6 - 6) - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 - -1)) + 6 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -67. Let t be 3\/(6\/(-10)) + 2. Let z(v) = -5*v - 6. Calculate the smallest common multiple of h and z(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c + 12. Let b be c\/(-6) - 56\/(-21). Suppose 0 = -4*r + 3*h + 85, -3*r + 100 = b*r - 5*h. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.15591\nAnswer: 0.031182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 988304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 22*w**3 + 4*w**2 - 919*w + 2733. What is u(3)?\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*g = 1, 5*g = -3*w - 1 + 3. Let b = -4.08 + 0.08. Sort 0.3, b, w.\nAnswer: b, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3930636*d**3 - 1870152*d?\nAnswer: 23583816*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*o - 26, 4*o - 13 - 27 = -4*k. Suppose 4*v - 2924 = 3*m, 0 = -v + o*m - 12*m + 736. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183.8 + 235. Let k = 51.1549 - s. What is k rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/8)\/r*r*r\/r**24*r)\/(r**13\/r*r**(-1\/17)) assuming r is positive.\nAnswer: r**(-4667\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-7 - (-10 - 7)) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 126\/36*(6 + 0). Is 3\/o - (-5286)\/42 - -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0387 - 3.9613. Put 0.4, -5, -0.4, r in decreasing order.\nAnswer: 0.4, -0.4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 5*d - 20, 78 = -o + 3*d + 23 + 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 2. Let b be p(-4). Suppose 0*c - 160 = -4*f + c, 40 = f - 5*c. Calculate the remainder when f is divided by 4\/4 - b*-2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**4 + r**2 - 1. Let b(p) = -3*p**4 + 9*p**3 - 3*p**2 - 33*p - 24. Let i = -160 + 161. Let k(j) = i*b(j) - 6*l(j). Find x, given that k(x) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -25*u**3 - 2*u**2 - 1. Suppose -2 + 8 = -3*f. Is n(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 299 + -295. Suppose 0 = -2*h + 9*v - 4*v + 9693, v = n*h - 19359. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/51987?\nAnswer: -1\/51987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021211210201 + -221?\nAnswer: -1021211211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 303445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141728522?\nAnswer: 2, 13, 5451097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 46582453, 46582434, 46582417, 46582402, 46582389, 46582378?\n\"Answer: h**2 - 22*h + 46582474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*p + 610, 192 = 2*f + 22*p - 88. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2 + 191*v - 136. Determine b(-28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3198 and 20134608?\nAnswer: 20134608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1522735, 1522736, 1522737, 1522738, 1522739?\nAnswer: 1522740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l**2. Let p(n) = 16*n. Determine p(k(v)).\nAnswer: 128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**2 - u**4 + 5*u**2 + 2 - 3*u**2 + 1. Find the second derivative of l(d) wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -7. What is the second biggest value in 3, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12110 (base 4) to base 16\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107071453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3130 (base 4) in base 3?\nAnswer: -22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22385 and 134902.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*1*-2)\/(sqrt(1440)*-3 + sqrt(1440)).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 150156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 45898962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -961092, -0.5, 1\/7 in ascending order.\nAnswer: -961092, -0.5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5186907091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 10*j. Let o(h) be the second derivative of 0*h**2 + 155*h + 0 - 29\/6*h**3. Determine o(w(d)).\nAnswer: -290*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 44 + (-2 - (2 + -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1132 by -4.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 1, i: 3, k: 1, o: 2, b: 3}. Give prob of sequence bor.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-413634)\/32 - 4 - (1 + -4). Let k = q + 12932. Calculate the common denominator of 31\/22 and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -500*c - 2. Let l(q) = q + 1. Let d(t) = 5*l(t) - y(t). Let u be d(-6). Let g = u - -24109\/8. Find the common denominator of -11\/2 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*y - 393 - 399. Calculate the remainder when 190 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 1969325*k**2 + 177208875*k + 3986971875.\nAnswer: 5*(k + 45)**2*(k + 393775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/63 and -25\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3090)\/(-25) + (-3)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tttttttiittttttttt?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, x: 3, y: 1, c: 3, p: 2}. Give prob of sequence pxyp.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**3 - 889920*b**2 + 1779825*b - 889910 = 0.\nAnswer: 1, 177982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a + 2*a)*(461 + 206 - 1453).\nAnswer: -3144*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.09, 5, 1, 2508.\nAnswer: -2, 0.09, 1, 5, 2508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 4*x - 3*x)*(2 - 12 - 6 + 2*x**3).\nAnswer: -4*x**4 + 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -222443720 divided by -55610930\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*t - 152\/13*t**4 - 2\/13*t**5 - 3034\/13*t**3 - 5476\/13*t**2.\nAnswer: -2*t**2*(t + 2)*(t + 37)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 12:44 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 69*y - 70*y = 2, -4*y - 16 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) + 352\/(-20). Let z = 31 + r. Let j(c) = c**3 - 14*c**2 + 13*c + 2. What are the prime factors of j(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {m: 1, f: 3, t: 3, d: 3, v: 3, j: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -46. Suppose x + 7 - v = 0. Let o be (-2 - 12\/15) + 2. Sort o, x, -4\/3.\nAnswer: x, -4\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + -1 - (24 + -23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o*p*q + 76*o*q**2 - 725*o*q + 25*p*q**2 + 2*p + q**2 - 914 wrt o.\nAnswer: -2*p*q + 76*q**2 - 725*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.15, -4\/7, -0.2, -0.078 in increasing order.\nAnswer: -4\/7, -0.5, -0.2, -0.078, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 604447 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: Is 7479936 a multiple of 1208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-12 + 16)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (0 - -2)*-6. Suppose 2*v - l - p = l, -5*l + 10 = 3*v. Let w be 2\/(5\/(v\/2)). Are 2 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167173 divided by 39?\nAnswer: -167173\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42552 is divided by 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 11*u + 7. Calculate z(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -546*y - 2332. What are the prime factors of k(-12)?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*m - 128 - 120 - 238*m + 63*m.\nAnswer: -239*m - 248","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10079199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -32889 > -32886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29808 is divided by 12956?\nAnswer: 3896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11*0.063\nAnswer: -0.693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 - 285*z - 4*z**2 + 285*z - 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20*(-8)\/(-616)*11)\/(2\/7). Let j(x) = -2*x - 18. Calculate j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209488138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2) + (-14)\/(-10). Let x be (19\/38)\/(1 + -2). What is the biggest value in j, 2\/25, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from zaqzaaz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198 + -96. Suppose -342 = -4*t + 2*t. Suppose -2*k + h = -5*j, 44 = -3*k + j + t. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 1 q when three letters picked without replacement from {q: 1, n: 2, e: 5, i: 2, t: 8}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 6) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 + -516\/7. Let k = 9663 + -9661. Let v = -0.04 + -2.96. Which is the nearest to 7\/2? (a) d (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**2 + 7*c - 10. Let f(g) = 9*g**2 - 13*g + 19. Give 9*d(a) + 5*f(a).\nAnswer: 9*a**2 - 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4952 + 2479 + 2482 - 17*m.\nAnswer: -17*m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.4 (b) -0.03 (c) -44 (d) 0.4 (e) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5*q - 7)*(-3 + 3 - 3*q)*(2*q**2 - 4*q**2 + 0*q**2).\nAnswer: -30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12397500*a**2 + 15*a - 30. Let h be x(2). What is h rounded to the nearest one million?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 3186990?\nAnswer: 6373980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -178*7\/210 - 165\/(-33)?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 + 206*d**2 - 279*d + 221. What is the remainder when 885 is divided by m(-70)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**29)\/c*c**(-4))\/(((c*c**(-15))\/c)\/c**(2\/13)) assuming c is positive.\nAnswer: c**(-232\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 3) to base 13.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 1313*k = -1308*k + 155, -445 = 3*o + 14*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4 = -2*l. Suppose -l*a + 3*a = 37. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/20)\/(3417\/273360)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854 = -7*m + 945. Let r(v) = v**3 + v + 51. Suppose -s - 2*s = 5*u + 9, -4*u = 5*s + 15. What is the remainder when r(u) is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 111 = -94*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 1. Let i be v(3). Let q = i - 10. Solve -4 = s - q*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 778 - 95. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 87670800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 80609, 80653, 80701, 80753?\n\"Answer: 2*a**2 + 38*a + 80569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gya when three letters picked without replacement from {j: 1, p: 1, g: 3, c: 2, y: 2, a: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 3*b**2 + 2*b**2 + (-1 + 1 - 2)*(2*b - 2*b**2 - 2*b) - b**2 + b**2 - 3*b**2 + 3*b**2 - 24*b + 24*b + 5*b**2 - 2*b**2 - b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 33. Sort -3, f, -0.2.\nAnswer: -3, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 40. Determine k(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 100*i**3 - 2500*i**2.\nAnswer: -i**2*(i - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15227.\nAnswer: 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a = 5*l + 72 - 263, -2*l = -2*a + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 9. What is the units digit of l(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:56 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*l**3 - 1795*l**2 + 42465*l + 14355.\nAnswer: 5*(l - 87)*(l - 33)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1408 divided by 3\nAnswer: 1408\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400046649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1979, 16348, 55341, 131270, 256447, 443184, 703793, 1050586?\n\"Answer: 2052*a**3 + 5*a - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88356?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4058*y + 554*y + 235*y - 353831 for y.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4238, 8442, 12552, 16520, 20298?\n\"Answer: -8*x**3 + x**2 + 4257*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u**3 - 35*u**2 + 17. Let r = -4271 - -4237. Let a(c) = 2*c**3 - 6*c**2 + 3. What is r*a(x) + 6*f(x)?\nAnswer: -2*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 189, -2, -12, 1 in increasing order.\nAnswer: -12, -2, -1, 1, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4536*r**5 + 29*r**2 + 69*r + 11. Let y(f) = -907*f**5 - 6*f**2 - 14*f - 2. Let b(k) = 6*q(k) + 29*y(k). Find the second derivative of b(t) wrt t.\nAnswer: 18260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -9213\/811?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxlecpeppce. Give prob of picking 2 e, 1 p, and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2432441 (base 7) to base 8.\nAnswer: 1136560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 422698368*a**3 - 1523*a + 58972 wrt a?\nAnswer: 2536190208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -45034 and -225168\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 1:52 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-2*-4 + sqrt(95))\/(sqrt(500)*-2 + sqrt(500)).\nAnswer: -9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + c - 9. Let r be u(3). Solve 0 = r*m + 5*k - 20, 0 = 4*m - 3*k + 9 + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:14 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Suppose -s*v + v = -6. Solve -v*n = -4*j - 10, 5*n - 2 = -5*j - 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 10) in base 3?\nAnswer: -12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 84252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*c**2\/3 + 7318*c + 1339776.\nAnswer: 2*(c + 576)*(13*c + 3489)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:21 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -3*l + 4*r - 141, 3*l = 2*r - 190. Is 4 a factor of l\/(-6) + 3\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7200596 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -3, 3, -14 in increasing order.\nAnswer: -14, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 183907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -3\/35 (c) 3 (d) 60991\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*b = -110, v - 4*b + 12 = -14. Let c be v\/9 - (-11 + 7). Let o be (-10)\/(-5) + (-2)\/1. What is the third smallest value in 1, c, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 22*a - 22*a)*(-5*a + 4*a - 2*a)*(-4 + 2 + 3).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12920 divided by 1.\nAnswer: -12920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j - 46*j + 8*j**2 + 17*j + 11*j.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1427.7936?\nAnswer: 713.8968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 1. Let w be z(-6). Let r = -64438 - -64441. Calculate the highest common factor of r and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5751 = 86*z - 5923 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*t - t + 64, 0 = -5*t + a + 59. Let w = 11 - 18. Let o = t + w. Calculate the greatest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1008 + 1213 = 126*o - 47. Suppose 2*p + 3*p - 250 = 0. Let v = p - 5. What is the greatest common factor of v and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(3\/16))\/x**7)\/((x\/(x\/((x*x*x**(6\/5))\/x)))\/(x*x*x\/(x\/(x\/((x*x**(2\/25)*x)\/x))))) assuming x is positive.\nAnswer: x**(-2437\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 30510 divided by 20\nAnswer: 3051\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or 3583668?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 1399 + 8*c**4 + 8*c**3 - 6*c**4 + 1401 - 2798 to the form p*c**3 + s*c + f*c**4 + l + m*c**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 36*p**2 - 5*p - 9. Let a(h) be the third derivative of -3*h**5\/20 + h**4\/24 + h**3\/3 - 4*h**2 - h + 19. Give 9*a(g) + 2*o(g).\nAnswer: -9*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/49)\/n)**(-1\/4)*n*(n\/(n*n**(-20)))\/n*n**7 assuming n is positive.\nAnswer: n**(5343\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -25 + 19 + 7 - 1237\/7. Is h > -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145382000 rounded to the nearest 1000000?\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -29*q. Let c(l) = 58*l. Calculate 13*b(k) + 6*c(k).\nAnswer: -29*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.07, -2\/19, 29, 7, 1, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 15*y**2 - 9*y - 111. Calculate f(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 4, v: 2, p: 3, z: 1}. What is prob of picking 1 r, 1 v, and 1 z?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u. Let r(a) = 3*a**2 + 4. Calculate x(r(c)).\nAnswer: -18*c**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3002 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 8*x**2 + 4*x + 1. Let n be a(-6). Let r be 1*(0\/(-4) - -1). Let y be ((-1)\/r)\/((-3)\/21). What is the greatest common divisor of n and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfaacftfafffdfdafff. Give prob of picking 1 f, 1 d, 1 a, and 1 t.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -21312?\nAnswer: 21301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**4\/4 + 1332495*w**3\/2 + 147964575384*w**2 + 2367367914297*w\/2 + 8877554726445\/4 = 0?\nAnswer: -444161, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((2*sqrt(1573) - sqrt(1573)) + 4)*-4 - (2*sqrt(1573)*2 + sqrt(1573) - (-2 + sqrt(1573)*-2))**2) + 1.\nAnswer: -77016 - 132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 44. Suppose -3*y - 3*q + 71 = y, -u = -2*q. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 6:37 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17002 + 80634 + 25233 = -1657*q + 9329 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 29, 52, 75, 92?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + r + 2)*(-1 - 3 + 6)*(-33*r - 98*r + 25*r).\nAnswer: -212*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5302 - 5307. Sort -2437, 1\/3, 2\/21, d in ascending order.\nAnswer: -2437, d, 2\/21, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 76. Let y = -42 + r. Suppose -3*n + v + 8 = 0, 4*n - 3*v = 2*v + y. Solve n*a = 12 - 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200\/6*14*33\/(-616)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -48*a + 438. What is the hundreds digit of o(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*s + 2*t, -3*t = t + 8. Let l = s - 21. Suppose l*p - 13*p = -46000000. What is p rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2510 - 2509.9997152. Round o to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.19 - 14.49. Put 2, t, -2\/9 in increasing order.\nAnswer: t, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from prrrrxppxprrrp?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsws when four letters picked without replacement from ewvveewessvwwvwsw.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k*k\/(k**(1\/17)\/k*k)))\/k**(-4\/5) assuming k is positive.\nAnswer: k**(-12\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.69766 rounded to 2 decimal places?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 9 + 151. Let u be (-1)\/3 - v\/6. Suppose 5*z - u*f - 213 = 0, 0 = 4*z - 2*z - 4*f - 88. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423 + 10?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48938 to 3 dps.\nAnswer: 0.489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - g**2 - 2*g + 8*g**3 + 0*g**3 as o*g**2 + p*g**3 + d*g + l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2703806 (base 9) to base 6.\nAnswer: 51411310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(2\/(-70)) + (-6)\/(-2) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(1100) + sqrt(1100)*1 + sqrt(1100) + (3 + sqrt(1100))*4) + 4.\nAnswer: -280*sqrt(11) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-698)\/(-10) - (5 + (-104)\/20). Calculate the greatest common divisor of 350 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.438229 tonnes in micrograms?\nAnswer: 1438229000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(sqrt(13) - sqrt(91)\/sqrt(7)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + -1.2. Which is the closest to 0? (a) o (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 3*n + 3 - 6*n**3 + 6*n**2 + 5*n**3. Let m = 4 - -1. Let z be j(m). Solve f = -2 + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(80)\/sqrt(16) + (-6*(sqrt(245) + -1))**2.\nAnswer: -503*sqrt(5) + 8857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-6))\/(1\/(-2)). Suppose 7*z - 12 = 2. Put z, 0, l in ascending order.\nAnswer: l, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19307*s - 15485 with respect to s.\nAnswer: 19307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 12*s + 11*s + 625 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d**3 - 19*d**3 + 67*d**3 - 38*d**3.\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d - i = 14, -32 = -3*d + i. What is the second derivative of -d*l + 20 + 7*l**5 + 7*l**5 - 20 wrt l?\nAnswer: 280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, -3, 4 in decreasing order.\nAnswer: 4, -3, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/99?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.045\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4350, 7807, 10380, 12075, 12898, 12855, 11952?\n\"Answer: g**3 - 448*g**2 + 4794*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201 (base 5) to base 13.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-1*2)\/(1*sqrt(24)\/sqrt(4)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2343 - 2309. Let p(w) = 3*w**2 + w + 2. Let g be p(-5). Suppose -i = -5*i + g. What is the remainder when u is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c + 5*f - 25, -3*f + 15 = -3*c. Suppose 5*i - 2*i - 6 = c. Solve -5*b - 4*g + 0 = -5, 2*b - i*g + 16 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5, 4, 2, 3855, -2\/5, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -v - s + 37, -301 = -5*v - 2*s. What is the remainder when v is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 13*p**2 + 42*p - 132. Let i(d) = 18*d**2 + 63*d - 198. Let w(q) = 5*i(q) - 7*x(q). Let t be w(4). Solve 0*f - 6 = 4*f + t*c, 21 = -5*f + 2*c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301136726 to the power of 1\/2, to the nearest integer?\nAnswer: 17353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*d + 19917 + 32790 = 18112. Sort d, 4, 5.\nAnswer: d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**8\/168 - 143*o**6\/60 + o**4\/24 + 29*o**3\/3 + 662*o**2. Find the second derivative of a(s) wrt s.\nAnswer: 40*s**3 - 1716*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31173, -317, 3 in descending order.\nAnswer: 31173, 3, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 282197435 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 1 + 2 - 2. Let d be (-2)\/(-4) + 1\/(-2). Suppose -5*x + 4*h = 8*h - 5, 3*h = -5*x + 10. Sort x, d, o in ascending order.\nAnswer: o, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/729?\nAnswer: -2\/729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.097 to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 243, -2\/31, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 19*z**2 - 109*z - 1659. Is o(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 319 and -0.04.\nAnswer: 318.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 1. Let a = 6 - 9. What are the prime factors of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a = -24*a - 540. What is the remainder when 86 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(363)*1 + sqrt(363)) + (1 + sqrt(363) + sqrt(363) + sqrt(363))*3)*6)**2.\nAnswer: 2376*sqrt(3) + 13392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14252*o + 116601?\nAnswer: -14252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1435, 1727, 2019, 2311, 2603?\n\"Answer: 292*v + 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 46 = 4*q + 2*w, 5*q - 97 = -4*w. Is 4 - 1 - -42*5194\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1225 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0*d + 4 + 7*d - 4. Let s(g) = 3*g - 2. Let t(m) = -13*m + 9. Suppose -l + 3*a = -0*l - 16, l = -a. Let j(b) = l*t(b) + 18*s(b). Calculate j(p(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30661364 divided by -403439\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 12673. Let j(z) = -2*z**2. Determine x(j(m)).\nAnswer: -4*m**4 + 12673","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*2*(-2)\/(-8). Let v(f) = -f**3 - 6*f**2 - 5*f - 1. Let p be v(m). Let n(a) = -2*a. Let s be n(p). Solve -2*q - s = -0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.3. Let o = 348.9872 + 0.0128. Let s = o - 342. Put s, i, 1\/6, 0.2 in decreasing order.\nAnswer: s, 0.2, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57846.5g?\nAnswer: 57846500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -61. Suppose 2*c - 49 - u = 0. What is the remainder when c is divided by (-14)\/(4\/16*-2*2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 6*r**2 + 5*r - 24. Let o be n(6). Let d be (8\/90)\/(o\/(-9)). Let f = 56 - 55. Is f smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1802 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c - 13*c - 40700 = 0. What is c rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**20\/(j\/j**30) assuming j is positive.\nAnswer: j**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54411323 (base 6) to base 8.\nAnswer: -6132143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 8*y**2 + 6*y + 9. Does 16 divide i(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11368, 22724, 34080?\n\"Answer: 11356*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.5. Let z = -0.1 - 0.2. Let m = 10 + -8. Which is the second biggest value? (a) q (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let y(d) be the second derivative of -791*d**3\/6 + 495*d. What is y(i(l))?\nAnswer: -791*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) + (-12)\/(-5). Let l(w) = w**3 + 74*w**2 - 939*w + 48. Let d be l(11). Solve -v*c + d = -2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 594*c**2 + 5*c**4 - 592*c**2 + 38*c - 8 - 35*c to x*c**4 + l + h*c + j*c**2 + b*c**3 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255580160 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/4)\/n)*n**(-1\/2))\/(n**(2\/7))**(2\/99)*(n**(-5)\/n**4)\/(n**(-1\/5)\/(n*n*n*n\/(n*n**(1\/3))*n)) assuming n is positive.\nAnswer: n**(-53903\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193 divided by 204.\nAnswer: 193\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 461960, 461953, 461934, 461897, 461836, 461745, 461618?\nAnswer: 461449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21b (base 15) to base 9\nAnswer: -578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.92 + 0.08. Let m = w - 8. Let p = m + 6. Are -2 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773255?\nAnswer: 5, 7, 22093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.271868ml in litres?\nAnswer: 0.001271868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 + 4*s + 1. Let j be d(-3). Suppose -4*i = -2*x + 34, j*i = -4*x + 3*i + 20. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 11\/(-2))*-2. Suppose -5*y = -4 + 14. Let i(z) = -4*z - 1. Let g be i(1). Sort g, n, y in descending order.\nAnswer: y, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100\/3 + -34. Let i(r) = -2*r**3 + 4*r**2 + 108*r + 75. Let u be i(-6). Let l = 1119\/5 - 225. Which is the smallest value? (a) 0.2 (b) u (c) m (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(23\/5))\/q*q**23*q)\/(q**(5\/12)*q**(-2\/43)) assuming q is positive.\nAnswer: q**(72833\/2580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1524*m**3 + m**2 + 1066*m?\nAnswer: 9144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -122839 (base 10) to base 16\nAnswer: -1dfd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 7 + 5 + 1 + 51 + 11.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*w + 19576, 2*w - 5939 = -5*v + 3835. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 207, 828, 2063, 4116?\nAnswer: 7191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12445 rounded to 2 dps?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3 + 1*sqrt(363)*-4 + -3*(1 + sqrt(363)) + -1)*-3)**2.\nAnswer: -160524 - 9702*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 586896 and 816.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1000001101101001100 (base 2) to base 14\nAnswer: -7011a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1331) - -1*sqrt(1331)) + sqrt(275) + 2)**2.\nAnswer: -8023 - 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 - 105. Let h be 2\/4 + (-45)\/18 + p. Let y(t) = -13*t + 22. Does 10 divide y(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/441*12)\/((-2)\/(-6))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8755*q**6 + 2*q**3 - 88634*q**2 wrt q.\nAnswer: -1050600*q**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6156913*h**3 + 12844*h - 21 wrt h?\nAnswer: 36941478*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1447510488 and 12216?\nAnswer: 12216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 9 = -5*q + q, 2*z = q - 1. Let y(s) = 12*s**2 + 2*s - 2. Let o be y(z). Suppose 7*t - 13*t = -o. What is the highest common factor of 22 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from uujjuuujjjuu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 941404169.58573734051067544 - -1.51426348948932456. Let l = q - 941404152. Let j = l + -19.1. What is j rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*t + 2*i - 3, -5*t = -3*i - 7. Suppose t*s + 6 = 14. Suppose -4*d + 33 - 113 = -2*b, 0 = -s*b + 2*d + 130. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 964071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 + 15424.\nAnswer: 15368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 3. Let j(s) = 4*s. Let h(w) = -w - 7. Let b be h(-6). Let i be j(b). What is f(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -687168 by 6.\nAnswer: -114528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -5. Suppose a*x + 4*r - 1 = r, 4*r + 14 = x. Solve q - x = -2*i, -5 = -2*i - i - q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 91*h + 280. Let x(i) = 11*i + 35. Determine -6*r(c) + 49*x(c).\nAnswer: -7*c + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -23, 4, 2, -14 in ascending order.\nAnswer: -23, -14, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/1*(-4)\/(-12). Let u = 0.29 - -0.01. Let k = u + -0.1. Put k, g, -1 in decreasing order.\nAnswer: g, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15731 and 48.\nAnswer: 755088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 13 + 18 - 56 = 51*t - 2*l - 0*l, 0 = 4*l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2567993852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 7. Let d be z(4). Let w be d\/(-15) - 11\/(-20). Which is the biggest value? (a) 0.5 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3465 - -7094. List the prime factors of s.\nAnswer: 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*q - 156, 2*h + 2*q = -0*q - 80. Let u be (-2)\/(1 - h\/(-42)). Let k = u + 101. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -14 - (12 - 1 - (67 - 66))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 - 156. Let w be 1 + (4\/10)\/(4\/q). Solve -w*g = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o - 16. Let a be x(-17). Let d be (-4)\/14 - a\/14. Let b be 16\/(-10)*10\/d. Solve -3*y = -y - b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 1. Let n(f) = f. Suppose -42*c + 1 = -43*c. What is c*n(b) - 2*j(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13295 - -18845. Round j to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3 = -6*v. Let h be (-1 + v)*(-147)\/(-42). Let o(s) = -s**3 + 6*s**2 + 7*s - 3. Calculate o(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {o: 3, f: 2, c: 5, i: 3, x: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102185137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 25*o**3 + 2*o**2 - 55*o + 93. What is the hundreds digit of f(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 75 + -28 + -15 - 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 2*m - 7. Let b = -2 + 7. Let h be j(b). Let g = h - 21. Solve -3*t - g = -0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -63235, -4, -2\/3, 3?\nAnswer: -63235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -0.05, 0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*i - 994400 = -84*i. What is i rounded to the nearest 1000?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 8. Let s be j(-6). Let g(t) = -3 + 3*t + 4 + 0. Calculate g(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -29.2. Let n = 496 + -496. Which is the third biggest value? (a) -2 (b) n (c) 1\/2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 1, w: 1, r: 2}. Give prob of picking 1 z, 1 r, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose -2*n - 11 = -4*c - 5, -c - 2*n + 9 = 0. Let b = c + p. Solve 0*h = -b*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 107, 431, 1093, 2213, 3911?\nAnswer: 6307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 6 - 4 + 359*y to the form w + p*y and give p.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 128 + 182. What is the remainder when 185 is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 + 131. Let u = -63 + 318\/5. What is the nearest to 0.1 in -2\/7, y, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32888329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1\/5 (c) 1 (d) 3\/8 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6288773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 3*d + 2*d)*(-6 + 2 - 2) in the form l*d + h and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 2, r: 2}. Give prob of picking 1 r and 2 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/21 and -13\/294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 times -0.08\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3644 (base 7) to base 4.\nAnswer: -111023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-102)\/(-30))\/(-17))\/(2\/(-6)). Let u(y) be the first derivative of -2 + 0*y**3 + i*y**5 + 0*y**4 + y + 0*y**2. What is the derivative of u(b) wrt b?\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 291 + -337.2. Round i to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160*b**2 - 272265*b - 1639350.\nAnswer: 5*(b + 6)*(32*b - 54645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 15*p + 45 = 26*p + 3, 0 = 3*w - 9*w - 5*p - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 7*y**2 + 2*y - 8. Let h be d(7). Let o be 3 + (0 - (-11)\/(-4)). What is the closest to h in o, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673282 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*(l*l*(l*l*l**(-9)*l*l)\/l*l)\/l)*l)\/l*l))\/(l**(-2\/3)*l)*(((l**2\/l*l)\/l)\/l)**(16\/11) assuming l is positive.\nAnswer: l**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 21*p**3 + 59*p**3 - 3*p - 36*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2018, -3869, -5720, -7571, -9422?\n\"Answer: -1851*s - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((j + 4*j - 4*j)*(-5*j - j + 3*j) - 2*j**2 + 2*j - 2*j)*(0 - 1 + 2) - 253*j**2 - 236*j**2 + 607*j**2 to the form c + a*j + r*j**2 and give r.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 11:17 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50024134 to the nearest integer?\nAnswer: 7073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13680 and 2736?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217.0141 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-20))\/j**5)**45)**(-32) assuming j is positive.\nAnswer: j**33120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*o - 10. What is the third derivative of r**5 + 5*r**2 + 0*r**o + 3 - 3 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.8 + -16. Let j = -109 + 51. Let g be 4 - 4\/(-56)*j. What is the fourth smallest value in x, 0.4, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136466605 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*n - 13*n - 1 - 80*n**2 + 18*n**2 - 1 to the form x*n + h*n**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5321\/12 + 1775\/4. Sort -2, o, 2\/7, -0.07, 0.2 in increasing order.\nAnswer: -2, -0.07, 0.2, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 265\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 5*n + 14, 4*n - 5 = -4*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 82a2?\nAnswer: 82a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**2 + 2*q - 4. Let i be (3\/(-2))\/((-6)\/8). Let f = i - -2. Let k be ((-2)\/4)\/((-1)\/10). Let n(v) = 5*v**2 - 2*v + 3. Determine f*m(y) + k*n(y).\nAnswer: y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 - 5*i + 1. Let a(v) = -2*v**3 + 4*v - 2. Let l(k) = 5*a(k) + 4*f(k). Differentiate l(n) wrt n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 150a394 - 2?\nAnswer: 150a392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70466998 + -70466940.899887. Let s = 57.1 - f. Round s to six decimal places.\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*y**3 - 67*y**3 - 9573*y**2 - 813*y + 813*y)*(y - 3*y - 2*y).\nAnswer: 8*y**4 + 38292*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 1. Let g(k) = 3*k**2 + 4*k + 3. Suppose -v + 6 = 5*v. Give v*g(r) - 3*j(r).\nAnswer: 3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -11197?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/10 - 2\/5. Let q(s) = s**2 - 5*s + 7. Let l be q(4). Suppose -61*m + 64*m = -l. Which is the closest to 0.1? (a) m (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2*(8 - 5). Suppose -w = p*w. Suppose 0*l + 4*l - 12 = w. Calculate the smallest common multiple of 4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 times -5\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146118 = -15*m - 146793 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/10 and 143\/16266?\nAnswer: 81330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 - -131.93. What is d rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2983?\nAnswer: 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + r**3 + r - r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((6\/(-75))\/2). Let w be -2 - 937\/(-5) - 30\/75. Let y = w - z. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h\/(h*h**1)))\/h))\/h)**(-16)\/(h**(-1\/4)\/(h*h**(3\/2)*h)) assuming h is positive.\nAnswer: h**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -423 in -1\/5, 4\/5, -6, -0.04, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Suppose -g - 20 = -6*g, -8 = -b*o - 2*g. Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 30. Let k(z) = 526*z**3 - 2*z**2 - z - 8. Let h be k(m). Suppose 4*p = 4, -5*t + p + h = -12124. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**8\/1512 - 2*n**7\/945 + n**5\/135 - n**4\/108 - 15*n**2\/2 - 1. Let c(q) be the second derivative of d(q). Factor c(h).\nAnswer: 2*h*(h - 1)**3*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50f (base 16) to base 12.\nAnswer: 8bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50175, 99684, 149193, 198702, 248211?\nAnswer: 297720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 15) to base 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t + 2. Let z(j) = -2365*j**2 + j. Let s be z(t). Let r = s - -4303. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0)**38\/(w*w**(-1\/6)*w**3))**10 assuming w is positive.\nAnswer: w**(1025\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -150*t**2 - 45. Let m(h) = 150*h**2 + 60. Let f(q) = -3*m(q) - 4*s(q). Let p(w) = w. Give p(f(u)).\nAnswer: 150*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) + (-6)\/10. Let y be (-9 - (-280)\/30)*6\/(-13). Is y smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/45*85\/136.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 8*l**2 + 9*l + 4. Calculate r(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 - -1110101221?\nAnswer: 1110102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3447 + 0.3447. Let g = -5.6 + 6. Let j = 19 + -173\/9. Which is the third smallest value? (a) h (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -20. Let w(v) = v**3 - 32*v**2 + 35*v + 7. Let i be w(31). Let g = i + -116. Calculate the smallest common multiple of q and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 11 + 85. What is the third derivative of 18*b**3 + 0*b**2 + 10*b**2 + 2*b**6 + h*b**3 - 18*b**3 wrt b?\nAnswer: 240*b**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b6b (base 14) to base 5.\nAnswer: -124440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/99 + 497\/198. Is -5 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 28677901.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4*l + 20, -4*l + 16 = 3*u - 4. Let i(z) be the third derivative of u*z**3 + 0 - 1\/150*z**5 + z**2 - 1\/60*z**4 + 0*z + 1\/50*z**6. Factor i(q).\nAnswer: 2*q*(2*q - 1)*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1808*y + 901*y = -935*y + 700 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(720) - (1 + sqrt(720))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -2 + 73 + -56.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 = -3*g + 16, 5*x = 5*g - 5. Suppose x*z + 520 = 5*j - 0*z, 0 = 3*z - 15. What are the prime factors of j?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from hhhlohkkh?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from pxwwxwhxhxp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 18 = -3*w. Let y(z) = 2*z**2 + z. Let a be y(w). Calculate the greatest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -57.22, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)*y)**14*y**6*(y*(y*y*y\/(y*y**2*y)*y)\/y)\/y*(y**(-1)\/y*y)**(3\/32)*y**(-4)\/(y*y**(2\/9)*y) assuming y is positive.\nAnswer: y**(26329\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 3*w + 1. Let x be (-17 + 16)\/((2\/(-12))\/(-1)). Let c(y) = 3*y**2 + 27*y + 24. Let p(f) = x*v(f) - c(f). Determine a so that p(a) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 26*o**2 + 1320*o - 18885. Give a(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 4*b**2 - 24*b + 1139. Let h(s) = -s**2. Give h(p(c)).\nAnswer: -64*c**2 + 384*c - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 415*y - 410*y + 8, -k = 3*y + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/1377 and -55\/612?\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + o + 2 - 1 = 0, -3*o + 5 = -2*h. Suppose 0 = -5*z + 4*z + 4. Solve -3*s + 11 = 4*i - 2, h*i = z*s + 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * -1164.\nAnswer: -1513.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1041 - 4*m + 728 - 359 + 6*m - 4*m to o*m + p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 77*h**3 + 2*h**2 - 5*h. Suppose -6*v + 3*v = -24. Let m(u) = -116*u**3 - 3*u**2 + 8*u. Let s(r) = v*z(r) + 5*m(r). List the prime factors of s(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 + 7*y**2 - 14*y + 151. Give t(6).\nAnswer: 967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3458 is divided by 192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111218376*r**3 + 106064761*r**2 wrt r?\nAnswer: -667310256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, 41, 86, 149, 230, 329?\n\"Answer: 9*d**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-33 - 32) + 47?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w**(2\/11)*w*w)*w)\/w)\/w)**(-44))**(3\/13)*w\/w**(-1\/3)*w**(-1)*w**(-2\/7)*w**(2\/5)\/w assuming w is positive.\nAnswer: w**(29486\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.05 + 14.05. Let m = 5 - 8. Let v = h + m. What is the closest to 2\/7 in 5, 0.09, v?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14+-588452.58931\nAnswer: -588452.44931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 4. Let h be y(0). Let j(z) = -6*z**2 - 4*z**2 + 31*z**2 - 2*z - 13*z**2 - z**2 + 4. Let m(r) = -8*r**2 + 2*r - 5. Calculate h*j(l) - 3*m(l).\nAnswer: -4*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -1\/2*q**2 - 9\/4*q**4 - q + 2 - 1\/3*q**3. What is the remainder when v(-1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3235840 rounded to the nearest 1000?\nAnswer: -3236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**5\/(k\/k**(-1\/10))*(k*k**(-1\/5)*k*k)\/(k*k\/(k*k\/(k*k**16\/k))) assuming k is positive.\nAnswer: k**(-93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20e (base 15) in base 14?\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7644 and 58604.\nAnswer: 175812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 21 - 17. Let i be 8\/((-5)\/(-20)*x). Which is greater: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*p + 1244 - 1244.\nAnswer: -115*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igzgzirt. What is prob of sequence rz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -513 by -8.\nAnswer: 513\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1661 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**3 + 1\/6*y**5 + 0 + 0*y**4 + 0*y + y**2. Differentiate f(q) with respect to q.\nAnswer: 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (37 - 12)) + 4 + -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 512\/16)*153\/(-306)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/632529 and 52\/9453.\nAnswer: 14548167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 + -14275767788.\nAnswer: -14275767768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (25*20\/100)\/(50\/(-5))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, w: 4}. Give prob of sequence ww.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 9:27 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1565*h = -1576*h. Solve h = -47*j + 39*j - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-143)\/121 - (-4)\/22. Sort -2, 1, u, -17 in descending order.\nAnswer: 1, u, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 8 = -2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1082*u + 27051. Determine z(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s - 9. Let k(z) = 5*z - 8. Let n(b) = 3*k(b) - 2*y(b). Let j be n(6). Is 10\/(-25) - j\/(-5) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -984 + 1905. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 8) + (-460)\/(-46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-21))\/(10 + (-406)\/42)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*o - 2661*o + 20896 = -148*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463680.\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**2 - 24*i - 22. Let s be o(-5). Is (-168470)\/(-68)*-6*s\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20530 (base 12) in base 4?\nAnswer: -22103310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 65 - 1\/3*l**3 + 5*l**2 + l + 34*l**4. Find the second derivative of j(d) wrt d.\nAnswer: 816*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65b48c (base 16) to base 8.\nAnswer: 31332214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 120*l**3 + 2*l**2 + 8. Let r be m(6). What is r rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, s: 1, r: 5, l: 2, y: 8, p: 1}. What is prob of sequence rr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llwlrlwooll. Give prob of sequence oww.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88115 less than -3.78?\nAnswer: -4.66115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15*c + 16. Let r be d(7). Suppose -123 = -y - r. Solve -y*v - 5*j - 22 = 0, v - 2*j + 2 = 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o - 2. Let w be r(9). Let i be (51\/w)\/(1\/2). Suppose i*l + 20 = -2*l, -3*c + 60 = 3*l. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18991439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 311*a. Let z(f) = 4*f. Calculate b(z(t)).\nAnswer: 1244*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 21.35 and -228480.\nAnswer: -228458.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12093389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*2166773\/8*84\/294 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106 - -744\/7. Solve 2\/7*z**2 + 4\/7*z - 6\/7*z**3 + 0 + 2\/7*z**5 - b*z**4 = 0 for z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 12*k = 11*k + 7851, -5*k = -3*q + 11757. What are the prime factors of q?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**3 + 3768*q**2 - 1793418*q + 17559380 = 0.\nAnswer: 10, 937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 230 - 246. Solve -3*x + c*x + 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 16*j. Let s(f) = f**3 + 19*f**2 - 6*f - 25. Let g be s(-8). Suppose -g = 14*k + 253. Let w(q) = q. Determine k*w(m) + 5*h(m).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 6:51 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 + 264820*o - 88274*o - 88271*o - 88275*o.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 37 = 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 1. Let b be w(-2). Determine u so that 2 - 3*u**2 - 3*u**2 - 6 + 4*u + b*u**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -395, 124 in decreasing order.\nAnswer: 124, -1, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1130, -2735, -4826, -7403, -10466, -14015?\n\"Answer: -243*m**2 - 876*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 3 (c) -3\/8 (d) -0.1 (e) 27.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130659116*u**2 - 2605*u - 153.\nAnswer: -261318232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 87?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 53391 = -o - 2*z, -o + 3*z = 10668. Let l be 0 - o - 21\/(-21). Suppose 0 = -3*n + 5*x + 2917 + l, 5*n + 2*x - 22679 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 16728*s - 25926768.\nAnswer: (s - 18156)*(s + 1428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -84487.8 + -342\nAnswer: -84829.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 5:15 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*i - 2*g + 350*i**2 + 210*i - 386504 wrt i.\nAnswer: -g + 700*i + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -202 times 1780155\nAnswer: -359591310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 7 = 2*z - 4*a, 61 = 5*z + 3*a. Suppose 0 = -4*i + 47 - z. Let r be 6\/(-21) + i\/7. Solve -r = f + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 1862 + 5226. Does 65 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 119, 1\/4, -4, -0.4?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256831?\nAnswer: 256831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15727 - 12089 = 732*n for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 50 = 2*o. Let z(t) = -t**3 + 9*t**2 + 8*t + 12. Let h be z(o). Suppose -7*p = -6*p. Put p, h, -1 in decreasing order.\nAnswer: p, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -18 - 2 - (37 - 50)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/3))**25 assuming b is positive.\nAnswer: b**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:13 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2. Let x(u) = 103*u + 1678. Determine x(m(l)).\nAnswer: 103*l**2 + 1678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 + -8 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 19 = -115. What is the remainder when s is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n + 22. Let l be j(-7). Let m be (-45)\/(-9)*6\/l. Let x = 9 - 14. What is the third biggest value in m, 8, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 996\/(-415) + 15\/6\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*u + u, 56 = 4*k + 2*u. Suppose 0 = -w + 3 + k. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 24. Give u(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 11 - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*k = -72, -3*k = 4*u - 5*k + 162. Let d = 42 + u. Let m(z) = -z - 143000. Let v be m(d). What is v rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13\/21 - 2\/7. What is the second biggest value in 0, m, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -14) + 0 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Let b(v) = 4*v. Let m be b(1). Suppose 3*k = -2*a, -13 = -5*k + 2*a - a. Let f(z) = 4*z - z**k - m*z + 0*z. Give f(q(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*r - 21*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 3, 38, -0.2, -5, -2.859 in descending order.\nAnswer: 38, 3, 2\/5, -0.2, -2.859, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -3\/5 (b) 4\/3 (c) 3817\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39441, -39440, -39439, -39438?\nAnswer: -39437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryub when four letters picked without replacement from {e: 3, r: 1, y: 5, u: 1, b: 2}?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 10. Let x(b) = 2. Calculate 2*u(w) + 9*x(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1210?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 2, p: 3, e: 3, x: 1, s: 2}. What is prob of sequence ep?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 - 2*z**3 + 1 - z**4 + 0*z**4 + z**2 in the form l*z**2 + v*z**3 + d*z + o + r*z**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 13*c - 2*c - 21*c + 6*c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 190 = 52*c - 594. Let p(k) = 13*k. Let q(v) = -4*v. Give c*q(s) + 4*p(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - -7. Suppose 4*u + l = u. Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**3 + q. Let c(k) = k**2 - 9*k - 3. Let r(a) = a**2 - 8*a - 2. Let m(o) = -3*c(o) + 4*r(o). Let x be m(5). Let h = 0 - x. What is p(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*c - 78, -122*m - 5*c = -120*m - 0*c - 75 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(17*17\/889831) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + j = 8, -2*o + 1 = 3*j + 3. Let d(x) = 7 - o*x**3 - 4 + x**3 - x. List the prime factors of d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 18*y - 8. What is the units digit of i(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Suppose -s - 99 = -4*r, -6*s + 103 = 4*r - 3*s. Let w = -5 + r. Calculate the smallest common multiple of l and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-2 - -3) + 3). Suppose z + o = i*z - 10, 2 = 5*z + 2*o. Let b be z*(-1 - -4)\/(-6). Is -2\/9 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2 + -2) + (-2648)\/(-1986)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (693 - 1441 + 678)*(-4 - 4 + 5)*(0*p - 6*p + 3*p) as l + y*p and give y.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 511300.\nAnswer: 511300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiuw when four letters picked without replacement from {w: 1, u: 2, z: 1, v: 6, i: 2}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24694 + 14700. Let l = 16794 + k. What is l rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = -8. What is the third derivative of -6*w**4 - 8*w**2 - 3*w**d + 3*w**2 wrt w?\nAnswer: -144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110 (base 2) to base 10\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225*q**2 + 37936 - 37936 to n*q + f + u*q**2 and give u.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -46. Suppose -5*k + 5*g = 180, 4*k + v*g = -g - 172. Let i = 54 + k. What is the greatest common divisor of 154 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m - 19. Let f be c(11). Suppose 3*v = b + 9, 2 = -2*v + 12. Is 35 a factor of f*(15\/b + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x**2 + x**2 - 8*x**2 + x to g*x**2 + n*x + d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15.38+2.186019\nAnswer: 17.566019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/4)\/3 + -1. Let m(s) = -s**3 - 3*s**2 - 3*s - 2. Let i be m(-2). Suppose 5 = 5*l - i*l. Is g >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5736, 11214, 16692, 22170, 27648, 33126?\n\"Answer: 5478*k + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7683378 and 6585?\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 5. Let x be q(-3). Suppose -4*t = x*z - 2, 5*t = 2*z - 0*z - 2. Solve 0 = -2*j - 4*b - 10, -j - 3*b - 7 = z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b - 36. Let z be c(10). Let m(s) = s**3 - 7*s**2 - 8*s + 5. Let j be m(8). Solve 4*r - j = 3*r, 16 = -z*g + 4*r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21600 + 2255?\nAnswer: -18334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 + 20*w**2 + w + 10. Calculate k(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p + 5*b = -4, -b = -p + 8. Let d = p - 2. Is 3\/d*(-78)\/(-9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 175597 - -1285914. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172\/651 - 2\/93. Let k(l) = -l**3 - 10*l**2 - 6*l + 1. Let i be k(-11). Let v = 1313\/7 - i. Which is the closest to 0.9? (a) v (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11*a - 1. Let m(f) = -54*f - 6. Suppose 12 = -3*l - 2*s, 0 = -l + s + 2*s + 7. Let q(c) = l*m(c) + 11*d(c). What is q(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375401 and 22579?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -201 (c) -3\/134806 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -341, -338, -333, -326?\n\"Answer: j**2 - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-4506)\/(-4)*40\/15. Suppose n = 14*h - 10*h. Suppose -239 = -f + u + 4*u, 3*f = -2*u + h. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = 4*o. Is o\/(-10) - 480\/(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/22 - (-4095)\/(-1001). Sort -16, l, -2, 13 in ascending order.\nAnswer: -16, l, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901167021?\nAnswer: 3, 100129669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**4 + 14246*v**3 + 21375*v**2 + 21377*v\/2 + 3563\/2 = 0. What is v?\nAnswer: -1\/2, 3563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 23 + 5 = 0. Suppose -3\/2*v**2 + v + v**t - 1\/4*v**4 - 1\/4 = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 4*x**2 - 22*x + 16. Let m be p(6). Calculate the greatest common factor of m and 427.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3460 and 3460.\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-6) + (238\/(-12) - -12). Let i(q) = -q**3 - 8*q**2 - 5*q + 4. Determine i(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-54)\/(-40)) + 69\/92.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/67)\/p**(-2\/5) assuming p is positive.\nAnswer: p**(124\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*n + 261056 - 264728 = 0 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1\/(-17)*-2. Suppose 4*t = -2*z + 306, 2*t - 582 = -4*z + 4*t. Let w be (-28)\/210 + z\/90. What is the closest to w in 4, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36709, -74265, -111821, -149377, -186933, -224489?\n\"Answer: -37556*h + 847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 21*r**2 - r + 27. Suppose c - 23 = -4*m + 2*c, 6 = 3*m + 3*c. Suppose 2*j + 0*w = m*w + 3, 0 = -4*w - 20. Is o(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/39*18\/4)\/(-3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*d - i - 35 = -56*d, -2*d - 3*i + 7 = 0. What is the smallest common multiple of d and 1140?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 times 0.1?\nAnswer: 22.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 77\/15 + (-18)\/135. Let u = -5 + 5. Suppose 5*i + 14 + 6 = u, s - p*i = 20. Solve s*y = 4*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522580759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*i + 89 - 363, 0 = y - 4*i - 162. Calculate the remainder when y is divided by 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2092*q - 9 + 12 + 575*q.\nAnswer: 2667*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 66 - 68 + 216 - 784*p.\nAnswer: -784*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25935 is divided by 25915.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 15, m: 4}. What is prob of sequence mm?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(70)\/(sqrt(7)*-2)) - (1 + sqrt(12)\/sqrt(4) + 1))**2.\nAnswer: 12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 1920 - 2321 + 4241.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((-21)\/6)\/(12\/24). What is the greatest common divisor of u and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 135, 10, -2, -18, -1, -3 in descending order.\nAnswer: 135, 10, -1, -2, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22303333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12896 and 906464.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s + 4. Calculate i(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**6\/1440 + t**5\/40 + 3*t**4\/8 + 16*t**3\/3 + 30*t**2. Let d(g) be the first derivative of i(g). Factor d(f).\nAnswer: (f + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 16, m: 2}. What is prob of picking 3 d?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958 is divided by 650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69.935 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/16)\/((-4)\/4))\/((-53)\/7844).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 1:03 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 5*w**2 - 2*w - 8. Let v be b(4). Solve 8*t - 3*t = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-2))\/(-3) - -3. Let j = 6 + 2. Calculate the remainder when (-1)\/((-62)\/30 + h) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47561 >= -998798\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (408\/(-32) + -5)*-24. Let f = 146 - j. Is -1 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - p + 0*p + (1 - 4 + 7)*(-9*p + 15*p - 11*p) + 8*p - 4099 + 4099 to the form a + z*p and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/12 and 83\/1447684.\nAnswer: 4343052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 227*j - 62*j + 186*j + 373 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49621563\/1412*4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*b + 283. Suppose -m - 589 = -5*o - 118, m + b = 3*o. What is the remainder when o is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375787722 = 6*s + 23527722. Suppose 18*q + s = -q. Round q to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -66, -147, -260, -405?\n\"Answer: -16*b**2 - b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183835 is divided by 3011.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 8. Let t be y(-5). Let d be (0 - 2 - -3)*t. Let h(u) = 5*u - 4. List the prime factors of h(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -143*a + 1340. Let l be t(9). Solve -27*s = 23*s - l*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9068 less than -224.16?\nAnswer: -220.2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - 2. Let w(c) = -2*c + 9. Let b(a) = -3*a + 10. Let i(k) = 3*b(k) - 4*w(k). Let x be i(-8). What is the least common multiple of 11 and g(x)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -15*j**3 + j**2 - j. Calculate d(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176454 is divided by 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1220 - 1219. Let p(g) = -g**3 - 3*g**2 - g + 2. Let o(a) = -a**2 - a. Determine c*o(m) - p(m).\nAnswer: m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {b: 2, s: 5, i: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 5*m**2 - 2*m. Calculate v(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5793892920 + -15.\nAnswer: 5793892905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -193654?\nAnswer: -193654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21909078*u*w + 3853428*w wrt u.\nAnswer: 21909078*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - 1\/2*-2. Suppose 0 = u - 2 - 9. Calculate the greatest common divisor of u and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 11*z + 58031. Let p(s) = -s. Determine j(p(y)).\nAnswer: -2*y**2 + 11*y + 58031","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 + -134. Let y be 14\/(-24) - (-4)\/16. Which is the biggest value? (a) y (b) 0.4 (c) m (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5521 = -y, -3 = -2*r - 7. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -193 - -230. Sort -2, b, -4 in decreasing order.\nAnswer: b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/9)*a**1)**29)**(-11\/7) assuming a is positive.\nAnswer: a**(-2552\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 6:45 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j - 10. Suppose t - j*t = 25. Is -5 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**3 + 29*v**2 - 11*v - 6. What is the remainder when j(-3) is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 8*j - 4. Let y(a) = -3*a**3 - 26*a - 13. Let w(u) = -13*c(u) + 4*y(u). Let q(x) = -10*x**3 + 1. Give q(p) + 4*w(p).\nAnswer: -6*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2619412 or 2619414?\nAnswer: 2619414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least -4\/127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1396327 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*r - 32589 = -4*r. What is the highest common factor of r and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.27 - -90.27. Which is the closest to -0.1? (a) -0.3 (b) v (c) 0.7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.7453 - -0.2547. Let b = 59\/4 + -665\/44. Let h = 27\/44 + b. Which is greater: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-4)*1\/(-5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/35)\/(286\/(-715)). What is the nearest to h in -0.07, -2\/5, 2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 976515223 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 8*r**2 - 14*r + 5. What is the hundreds digit of x(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r**2 - 167*r**3 + 146*r**3 - 70*r**2 + r**4 + 46 + 21*r = 0.\nAnswer: -2, -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - c**2 - c + 5. Let o be 1 - -2 - ((-12)\/2 + 0). Suppose o*m - 10*m + 2 = 0. Suppose -m*x = -7*x - 0*x. Calculate l(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l - 135. What is h(20)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 5*o**2 + 6*o + 5. Let d be t(6). Let v be -8 + d - (0 + -8). Solve -n = -v*p - 3, -4*n + 16 = -p + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 11*n**2 - 11*n - 2. Let d be b(4). Let g be -2*(0 + 6)*-1. What is the greatest common divisor of g and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 634*u**2 + 24652*u + 432016.\nAnswer: 2*(u - 268)*(u - 62)*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.82, -0.014, 3?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 2, c: 3, l: 1, u: 5}. Give prob of sequence ul.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -9. Let g = r + 3. Let f be 8 - 1*g\/1. What is f rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64983*j**2*s**2 + 22*j + 284*s**2 wrt j?\nAnswer: 129966*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**8\/56 - 67*u**7\/210 + 37*u**5\/5 + 922*u**2. What is the third derivative of r(l) wrt l?\nAnswer: 360*l**2 - 1608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 211805432 and -0.025.\nAnswer: 211805431.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouw when three letters picked without replacement from ouuw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157884.\nAnswer: 2, 3, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 812249895 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from iioiaiaiaoia?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.37373 litres in millilitres?\nAnswer: 89373.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.4, -57, -5, 0 in increasing order.\nAnswer: -57, -5, -0.4, -0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**14*y**(-20) assuming y is positive.\nAnswer: y**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, d: 6, x: 2, q: 1, r: 9}. Give prob of sequence rrdq.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2360 - 4?\nAnswer: -2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 9. Suppose -2*t + 2 = -4. Solve -5*y = t*f + k, 3*y - 3*f + 1 = -f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14601*h**4 + 3939 wrt h?\nAnswer: 58404*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45952 and 2.\nAnswer: -91904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/110 - (-816)\/22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -3951.7\nAnswer: 5927.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 186963967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6209 and -118?\nAnswer: -732662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31536773963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 818053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -12 + (2 - 13) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4 + 108516*d**3 - 217016*d**2 = 0. What is d?\nAnswer: 0, 2, 27127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*v*y**4 - 4*f*v*y**3 - 3*f*v*y**2 - 2*f*y + v + 4*y**2 wrt y.\nAnswer: 48*f*v*y - 24*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2. Let g(h) be the third derivative of -h**7\/420 + 13*h**5\/15 + 10*h**2 - 2. Let b(k) be the third derivative of g(k). What is p(b(s))?\nAnswer: -288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/186525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 5*c, c = -8*n + 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + (sqrt(1377) - (sqrt(1377) - (sqrt(1377) - sqrt(1377)*-3*-6))) - (sqrt(1377) + -1)*-3) + 4)**2*-2 + -1.\nAnswer: -465429 + 468*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*b - 17, -2*q + b - 3*b - 18 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 2*v. Let x = -2 - 1. Let k be p(x). Solve r - 2*t = -5, 0 = -k*r + 2*r - t + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 33*v + 32. Let q be j(1). Let g(u) be the second derivative of -1\/60*u**4 + 0 + 0*u**3 - 2*u + 1\/100*u**5 + q*u**2. Factor g(s).\nAnswer: s**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 23. Let h(b) = -b**2 - 4*b + 5. Let z be h(-5). Suppose 0 = r - z*r - 2. Calculate the remainder when l is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from agcxk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15430 and 405.\nAnswer: 6249150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1181 and 0.3.\nAnswer: -354.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 24. Let t be l\/8*(-48)\/(-18). Suppose -3*c + 4*b - 8 = 0, -5*b = -4*c - 17 + t. Put c, -1, 0 in descending order.\nAnswer: 0, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 3\/77 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1239 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Suppose -u*o = -j - 13, 4*o - 9 = o - 2*j. Solve o*c = -14 - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + m - 11. Let w = 0 - 4. Let g(p) = -p**2 + 6. Let a(n) = w*d(n) - 7*g(n). Let c be a(-4). Solve -1 = x + c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62532884185.6310043 + 62532879774. Let a = -4411.65 - w. Let h = a - -0.019. Round h to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(1161*x**2 + 586*x + 628*x - 1214*x + 1741*x**2) in the form n + f*x**2 + v*x and give f.\nAnswer: -2902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 4*f + 1038842631*f**2 - 1038842635*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -2, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2025 - 1268. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -22. Let j(g) = -2*g**2 - 5*g. Calculate j(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2829.8 - -2828.846. Which is the third smallest value? (a) 2 (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1489827980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155003 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/2480*(-77 + 76)\/((-21)\/5 + 3).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*o**2 - 1641\/2*o + 546.\nAnswer: 3*(o - 364)*(3*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -665 in increasing order.\nAnswer: -665, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 8:10 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**4 - 30610208*t**2 + 107104678 wrt t?\nAnswer: -8*t**3 - 61220416*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*i + 0 + 2\/5*i**3 - 2\/5*i**2 + 2\/5*i**4.\nAnswer: 2*i*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2)*g*g**(-2\/5)*g**(-4)*g\/((g*g**(-1))\/g) assuming g is positive.\nAnswer: g**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/77691240 and -47\/1782.\nAnswer: 699221160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8927*r**2 - 6713*r - 32. Let y(p) = 8925*p**2 - 6713*p - 24. Let l(k) = 3*h(k) - 4*y(k). Find the second derivative of l(g) wrt g.\nAnswer: -17838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/2)*t**(2\/3))\/(t*(t*t*t**1)\/t)**(-1\/66)*((t**(-3))**(4\/7))**(1\/62) assuming t is positive.\nAnswer: t**(15643\/7161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 42439.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/840 and -167\/611520?\nAnswer: 611520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k + 1. Suppose -2*m = 4, -5*m - 22 = -2*z - 0*m. Let l(v) = -8*v - 1. Determine z*l(h) + 7*i(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3950 = -121*l - 9559 + 3766 + 3295 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -5*x**4\/4 + 2*x**3 - 8. Let o(i) = -14*i**3 + 17*i**2. What is -6*o(v) + 17*t(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(17) + -3.\nAnswer: -7 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cou when three letters picked without replacement from {k: 2, c: 1, o: 1, u: 1, g: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t - 7*t - t - 5*t + 6 + 3*t**2 = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/17, 3, 2\/9 in decreasing order.\nAnswer: 3, 12\/17, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k - 1. Let o(w) = 25*w**2 + w + 1. Let g(j) = -230*j - 229. Let z be g(-1). What is z*v(m) + o(m)?\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 1, i: 1, r: 3, k: 1, u: 4}. Give prob of picking 1 q and 1 c.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1383, 1380, 1379, 1380, 1383, 1388, 1395?\n\"Answer: m**2 - 6*m + 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3512824 by -2086.\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.4713111 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 4:00 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i*i**1*i)))**(5\/18))**(44\/3)\/((i*i**(-4)*i**(-1\/12))\/(i**(-2)\/((i**0\/i)\/i))) assuming i is positive.\nAnswer: i**(2093\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -12*r - 40. Let f = -41 - r. Let q = 0.2 - 0.4. What is the second smallest value in f, q, 0.01?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*p + p. Let v = 26071 - 26071. Suppose v = p*o - 1189 - 1361. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 - 1916*c\/3 - 58562.\nAnswer: -(c + 94)*(c + 3738)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6288499*d**2*k + 56*d**2 - 34414*d wrt k.\nAnswer: 6288499*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 6*g - 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:23 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3246691 less than 0.7024?\nAnswer: -3246690.2976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1779044 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 504\/36 + 19\/(-1). Sort r, -1, 3727, 5 in ascending order.\nAnswer: r, -1, 5, 3727","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = -s, k + 0*s = -4*s + 26. Let p be k\/39 + 140\/(-65). What is the units digit of 4 - (-16 - p) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2\/9*t**5 + 2\/9 - 4\/9*t**2 + 4\/9*t**3 - 2\/9*t + 2\/9*t**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.017 + -1.047. Let l = k - -0.8. Let x = l - 0.07. Which is the second biggest value? (a) -0.2 (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65051.\nAnswer: 7, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311*-0.2.\nAnswer: -62.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7365258 and 441915480?\nAnswer: 441915480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 18023.68?\nAnswer: 9011.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8) - 28\/(-8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, g: 15}. What is prob of picking 3 v?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 57*b + 36 = 53*b, 15 = 3*x - b. Solve -4*p = -5*s + 29 - 22, -x*s = 2*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 80. Let g(c) = 451*c. Calculate g(p(a)).\nAnswer: 451*a - 36080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1\/4 (b) 1\/5 (c) -60 (d) -3 (e) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62266, -120142, -178018, -235894, -293770, -351646?\n\"Answer: -57876*b - 4390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63218581*g**4 + 6*g**2 - 9423502*g wrt g?\nAnswer: 1517245944*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*m*u**5 - 159438*m*u**4 + 4*m*u**2 - 3312988*u**2 wrt u?\nAnswer: 5160*m*u**2 - 3826512*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13677450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 13*t**3 - 3028*t**2 - 6338*t - 1706. What is p(235)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9*a = -60. Suppose a*p + 15 = 7*p. Suppose 12*z = 17*z - p. Solve -3*m + 2*m + z = 3*s, 0 = 5*s + 3*m - 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i + 5*i. Is (-106)\/(-9) - i\/(-9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -47, -1971, 0.2, 2\/11, 5.\nAnswer: -1971, -47, -4, 2\/11, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419165, 419777, 420389?\nAnswer: 421001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/113 - -200\/1469. Let g = -1514\/3 - -504. Sort g, f, -1\/2 in decreasing order.\nAnswer: f, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 24 = -3*j, -5*x + 258 = -3*j + 234. Solve 44*q - 49*q - 30 = x for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + z = 16, -3*z = 2*j + 1 + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*h**2 + 70*h**2 - 129*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -241, -501, -759, -1015, -1269, -1521?\n\"Answer: v**2 - 263*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 985\/7 + -141. Is -1\/4 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. Suppose -2*i + 2*o + 89 = 7*o, 4*i + o = 133. Suppose -5*c + 1 = -4*u - 23, 2*u - i = -3*c. What is the remainder when c is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 36, -5, 0.2, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 39 = 3*g - j, 2*g + 5*j - 31 = 0. Suppose 4*n - a - 9 = 0, 2*n + a = 5 - 2. Suppose -n*v + 24 = 8. Calculate the remainder when g is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*(32 + -30). Let k(w) = -10*w - 1. Give k(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*c**2 + 486334*c + 8036427.\nAnswer: -12*c + 486334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 10\/(-4)*(-2)\/5. Solve -3*w + 8*v = 4*v + 21, m*v = -3*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(20\/(-5) + -36). Let a = -122 - r. Round a to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331309 take away -1761789?\nAnswer: 3093098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 34. Is y less than or equal to -1\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118616 divided by 4?\nAnswer: 29654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**4 + 3*z**3 - 3 + 1 - z**3 + z**4 in the form n*z + m*z**4 + d*z**2 + t + q*z**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27242511 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17 - -0.03. Which is the third biggest value? (a) 2 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoonn. What is prob of sequence onno?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-156)\/152 + (-219)\/(-8322))\/(1\/23).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 - 33*i**2 + 376*i. What is the hundreds digit of m(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 6*k**2 + k + 6. Let w(c) = -2*c + 3. Let q be w(3). Let o(a) = -6*a - 12. Let n be o(q). Let f be s(n). Solve 4*d - f = 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343511 (base 7) to base 14.\nAnswer: 184b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2\/4 + 149001*q\/2 + 3873519\/4 = 0. Calculate q.\nAnswer: -99321, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**8\/6720 + g**7\/420 - g**6\/120 + g**5\/20 - 5*g**4\/24 + 7*g**2. Let f(x) be the second derivative of s(x). Determine f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + w = d, 2*w + 8 = 0. What are the prime factors of (-1475)\/(-45) + d\/(-18)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**5\/60 - 7*i**4\/24 - 2*i**3 - 8*i**2. Let g be r(-6). What is the units digit of (-290)\/(-15) + 2\/g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11951*q + 214979. What is u(-18)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(18))\/sqrt(6) + sqrt(3))**2 + sqrt(24)\/(sqrt(16)\/sqrt(2)).\nAnswer: sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48928033?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1685 - (-5 - (-5 + -3)). Which is greater: n or -1689?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) + 34\/(-8). Let z(n) = 9*n**3 - 4*n**2 + 8. Let t(o) = -19*o**3 + 9*o**2 - 17. Let l(b) = y*t(b) - 9*z(b). Differentiate l(d) wrt d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4067\/3 - -1356. Let x*r - 1\/6*r**2 - 1\/6 = 0. What is r?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 241 + -238. Suppose 4*x - 29 = 3*v, h*x - 13*v = -11*v + 21. Solve -4*d + 4*b + 16 = 56, -x*d = 5*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 + 5 + 3 - 4 - 3*h + h**2 - h**3. Determine t(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -37*v**2. Let q(l) = -l**2 + 577*l + 2. What is q(t(y))?\nAnswer: -1369*y**4 - 21349*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -48.347 at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 9:39 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 23 = -r - 24, -3*r - 2*y - 140 = 0. Suppose 4*z = -0*q - q + 51, 3*q - 221 = 5*z. Let f = q + r. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1841*t - 2526 - 4316 = 2152*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170 + -314. What is the remainder when ((-2)\/(-6))\/((-8)\/n) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10113 (base 4) to base 16\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s**3 - 7*s - 7. Let p(z) = 8*z**3 + 4*z**3 + 2*z + 2 - 16*z**3 + 7*z**3. Determine -7*p(h) - 2*y(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afgzfuug. What is prob of picking 2 g and 1 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -7, 559, -1071, -2?\nAnswer: 559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 26*s - 62. Let b be p(-28). Let a(d) = 18*d + 46. Let m(v) = -8*v - 23. Let c(y) = b*a(y) - 11*m(y). Differentiate c(l) with respect to l.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**9\/252 - 19*z**6\/30 - 7*z**5\/5 + z**2 - 84. What is the third derivative of b(l) wrt l?\nAnswer: -240*l**3 - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 3*p - 122. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*d - 1 - 265*d + 522*d in the form y*d + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -253 + -4e?\nAnswer: -2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*(z\/z**(-1\/4))\/z*z*z*z)*(z*z*z**7)\/z*z*((z*z**3)\/z)**(-1\/3) assuming z is positive.\nAnswer: z**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1312 = -2*x. Suppose -2*m - 6*m = -x. Is m greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-168))\/(1110\/1332).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 26*i - 20. Let a be v(-25). Is 10 a factor of a\/(3\/(-15)*4\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 - 2.91. Let f = c + 3.0000007. What is f rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1393*z + 381. List the prime factors of m(-3).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 24*u - 126. Let y be t(8). Suppose -y*p + 97 - 91 = 0. Solve -p = l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 69402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 12:27 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/30*4)\/(868\/(-3906))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-10)\/h**(-6)*(h*(h*h\/(h*h\/((h**(-1\/13)*h)\/h))*h)\/h*h)\/h**(-3\/2) assuming h is positive.\nAnswer: h**(-15\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1718398 + 1125698. Round b to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22060 is divided by 1912.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -154 (b) -1\/8 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 13*m**2 - 13*m. Let z(n) be the first derivative of -n**4\/4 - 2*n**3 + 3*n**2 + 3. Give -6*h(c) - 13*z(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/11078 and 55\/382.\nAnswer: 11078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178661607 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6318 divided by -9?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l - 102 - 110 = -48 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608 is divided by 36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x - 269 = 2*d, -4*x + 3*d = -358. List the prime factors of x.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3\/13 + 28*z**2\/13 + 46*z\/13 - 220\/13 = 0.\nAnswer: -11, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*f + 79*f - 5*i - 85 = -83*f + 247*f, 73 = 5*f - 9*i for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 1. Let d(m) = -456*m - 266. Calculate 2*d(u) + 532*q(u).\nAnswer: 152*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 126*f + 389. Let a be r(-66). Let k(t) = 5*t + 70. Let b be k(-13). Put b, -5, -4, a in descending order.\nAnswer: b, -4, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16224281 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 - 2*x**2 - 994*x. Let d(l) = -17*l**3 - 7*l**2 - 2980*l. What is -2*d(q) + 7*o(q)?\nAnswer: -q**3 - 998*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 384?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**7\/14 + v**6\/2 - v**4\/4 - 10*v**2 + 19*v + 2. What is the third derivative of c(n) wrt n?\nAnswer: -180*n**2 + 360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2. Let v(w) = 15*w**2. What is v(o(l))?\nAnswer: 135*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcececekeckck. Give prob of picking 2 k.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185642*n**2 - 18847*n**2 + 3*n - 3*n.\nAnswer: -204489*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 12 = k - 5, k = -3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and -117172342.\nAnswer: -117172351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 19 = 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, -3, 34, 1\/7, 101?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*i = 16 - 4, -a + 3*i + 3 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 10\/(280\/36). Which is the biggest value? (a) q (b) -0.5 (c) -7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o*o\/(o**(-2\/23)\/o)*o)))\/(o\/(o\/(o\/((o**(3\/14)*o)\/o)))*o))\/(o*o**(-1\/6)*o**(-2\/9)))**29 assuming o is positive.\nAnswer: o**(71021\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*w + 14*w - 63240. Suppose c = -3*c + w. List the prime factors of c.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4001 (base 6) to base 14\nAnswer: 45b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -1b0?\nAnswer: 1ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 7 = 4*z - 1, z + 4*c - 2 = 0. Let w be (-42)\/(1 + z) + 0. Let v = -7 - w. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1411.\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1071 divide 857851722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 11*i = 9. Let c(k) = 2*k**2 - 6*k + 1. Let l be c(4). Factor 9*a - l*a - i + 3*a**2.\nAnswer: 3*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**3 - 3*r**2 + 4*r - 2. Let p be y(1). What is the highest common divisor of 42 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(30*h**4 + 27 - 27).\nAnswer: -30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -774, -1725, -3046, -4731, -6774, -9169?\nAnswer: -11910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*r = 5*d + 309*r + 49, -3*d + r = 31 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abjb when four letters picked without replacement from {n: 1, k: 3, x: 5, b: 2, a: 6, j: 3}.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -50.2 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 0?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 26, 18, -2.\nAnswer: -2, 2, 18, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 346418807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 - (-7)\/3. Suppose 3*b + o = 4*b. Solve 4*s - s - 13 = -b*q, 4*s = 2*q + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/33? (a) -3 (b) 22 (c) -2\/3 (d) -0.13 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -1254 (c) 0.2 (d) 1856 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123626\/15 - 24724\/3. Let o = -18 - -15. Let w(t) = -t. Let y be w(-2). Which is the closest to p? (a) o (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4836 = 4*n. Suppose 5*y + 1304 + n = -5*i, i = -4*y - 434. Let h = -246 - i. What are the prime factors of h?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, 0, 1 in descending order.\nAnswer: 4, 1, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 34*q**2 - 25*q + 20. Let b be x(-14). Let t = -762 - b. Calculate the least common multiple of 88 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1338*g + 1 = -t - 1340*g, 2*g - 17 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*a**2*p**3 + 4*a**2*p + 3*a**2 - 14*a*p**3 - a*p - 435*a + 17*p**2 + 1 wrt p?\nAnswer: 690*a**2*p - 84*a*p + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 2, e: 1, a: 4, y: 1, h: 3}. What is prob of picking 2 e and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 49 = 23. Let l be 4\/p - (-1)\/3. Sort -2\/3, l, -4.\nAnswer: -4, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3687 + 3688. Which is the closest to 0.8? (a) -21 (b) -4 (c) m (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5100057259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*12 - (-2 - 7) - -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161*r**4 - 13*r + 20*r**2 + 4*r + 3*r**3 + 160*r**4 - 18*r**2 + 4 to c*r + d*r**3 + l + v*r**2 + o*r**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k\/((k*k**(-9)*k*k)\/k)))\/k)\/((k*k**(-8)*k)\/k)*(k**(2\/7)*k)**9 assuming k is positive.\nAnswer: k**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 6*l - 16. Let h(i) = -2*i**3 - 5*i + 16. Determine 6*h(o) + 5*p(o).\nAnswer: 3*o**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 13. Suppose -5*l + 15 = 0, -3*c - v*l = 2*c - 21. Suppose 0 = -c*a - r + 8, 5*a + 2*r = 3 + 10. Solve q + a*z = -9, -2*z = -0*q + q + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326*l**2 + 313*l**2 - l - 2*l)*(-5*l - l + 4*l).\nAnswer: 26*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 149474 (c) -1\/2 (d) 4 (e) 0 (f) 5 (g) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -3*s + 13*l - 21, 3*l - 158 = -9*s - 23 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2985161.78369 - 0.047.\nAnswer: 2985161.73669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = -4*q. Let v = 3 - q. Solve -v = 4*h - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvg when three letters picked without replacement from {v: 3, r: 4, z: 1, l: 1, g: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531703.\nAnswer: 197, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 10*g**2 - 6*g + 5*g**2)*(-3*g**3 + 3*g**3 - g**3).\nAnswer: -15*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2606156816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/7 + 572*d**3\/7 + 6974*d**2 + 151704*d - 158760 = 0. Calculate d.\nAnswer: -126, -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2345*i = 3560*i - 10935 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 9. Determine s(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 0 + 2\/11*d + 2\/11*d**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 3822?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 5:04 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4632 divide 1362209982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11000222010 + 12121?\nAnswer: -11000202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-34))\/(22\/2*(-42)\/(-77)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 32296671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 41*w**2 + 86*w**2 + 3*w - 47*w**2 to i*w + y + g*w**2 and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -12 + 5*x**3 - 6*x - 9*x**3 + 17*x + 5*x**3 - 10*x**2. Calculate the least common multiple of 10 and j(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9)*s*s**(-3\/7))**(2\/17)*(s\/s**0*s)**(-18\/7)*s**(2\/5)*s*s\/s**(-4) assuming s is positive.\nAnswer: s**(6952\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 62. Determine a(34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**10*(h**13\/h)\/h)**(-3\/23))**(1\/38) assuming h is positive.\nAnswer: h**(-3\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 213, -14 in ascending order.\nAnswer: -14, -6, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 369*o**2*t**3 - 2*o**2*t**2 + 51*o**2*t + 2*o**2 + 859784*o*t**3 - o wrt o?\nAnswer: 738*t**3 - 4*t**2 + 102*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 5087668*q + 5087668*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 8:05 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70 + 31 - 13) + 21?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -32, -45, -62, -83?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 943140 and 152788680.\nAnswer: 152788680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 1\/(-1) - 4\/(-12). Which is the nearest to -1? (a) -1 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*x - 6 - 30*x - 3 + 7 as g*x + z and give g.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 7*m**2 + 17*m + 3. Let w be l(-8). Let g = w - -69. Which is greater: -1\/169 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 2*p - 3. Let j be n(-3). Let x = 19858 + -19854. Solve 0 = x*y - 7*y + j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + m + 1. Let u(n) = -2*n**3 + 2*n**2 - 2*n - 2. Calculate -u(s) - 2*w(s).\nAnswer: 2*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.28 - -1.32. Let a = 14.5999994 - f. What is a rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1490*r + 47. What is the hundreds digit of s(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207393 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -0.03?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(1\/23)))\/(r**(-7)*r)*((r*r*r**(2\/29)*r)\/r)\/r*r*r*r\/(r**(7\/5)*r)*r*r assuming r is positive.\nAnswer: r**(35436\/3335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 85. Solve 2 = -4*g + s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -2\/13*c**2 + 7\/39*c**3 + 0 - 7\/78*c**4 + 1\/65*c**5 + 6*c. Solve j(o) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i + 41*i = 2*w - 39022, -4*i = -4*w + 78056. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 x, and 2 o when four letters picked without replacement from xxojjoxoxx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 5*j + 210. What are the prime factors of ((-14)\/(-3))\/(10\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6320264?\nAnswer: 2, 790033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55022850, 55022854, 55022858, 55022862, 55022866, 55022870?\nAnswer: 55022874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 4. Suppose 0*c - 20 = -5*c. Let m be o(c). Solve -2*x - 5 = -3*j, -m*x - 2*j + 6*j - 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 - 5*x**2 - 3. Let b(u) = -2*u**3 - 5*u**2 + u - 2. What is 4*b(s) - 3*o(s)?\nAnswer: s**3 - 5*s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22350*x**3 + 21*x**2 - 21*x**2 + 8246*x**3 - 10944*x**3.\nAnswer: -25048*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 346 + -349.02. Let l = 0.02 + f. Which is the third biggest value? (a) 0.1 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34084310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4298 in -18, 3, -2, 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-3)*9\/6. Find the third derivative of 4*n**4 - n - f*n**2 + n + n**2 wrt n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -67*b - 8. Let t(v) = -133*v - 17. Let l(j) = 5*s(j) - 3*t(j). Let i be -1 - (-1 - -2) - -11. Is l(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 3*w**2 - 16*w + 8. What is a(-7)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 4:15 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 21 = -24*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5560000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkdvnggdnvinvd. What is prob of picking 1 n and 1 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99815253 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 - 0.11. Let g = 0.4 - c. What is the second smallest value in 5, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -134*d - 802. Determine v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/18 + 1\/2. Let v(q) = 3*q**2 - q. Let x be v(-1). Suppose -x*h + 13 - 17 = 0. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11173.8 + -11173.76. Let h = 938\/5 - 187. Put u, -10, h, 1\/6 in increasing order.\nAnswer: -10, u, 1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2040566 take away 1718149?\nAnswer: -3758715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5 - 72*x**4 - 778*x**3 - 2372*x**2 - 2688*x - 1024 = 0.\nAnswer: -16, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 278669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - 21. Suppose 0 = m*k - 5 - 23. Suppose -k*i + 209 = 2*l - 233, 5*l - 1157 = 3*i. List the prime factors of l.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*g = 6642*g + 343534 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x - 10737 = 5*k, 2*k - 21414 = -4*x. Suppose -1952 = -18*d + x. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684*z + 9826 = 2986 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.700935 microseconds in hours?\nAnswer: 0.0000000060280375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 5*a + 1. Let u = 2 + -1. Let l be (-4*1\/2)\/((-8)\/(-12)). Let x(p) = -p**2 + p + 1. Calculate l*x(h) + u*q(h).\nAnswer: 2*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 7*o**2 + 5*o - 5. Suppose -24 = 2*k + 2*k. Let y be n(k). Which is greater: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -357, -3414, -6471?\n\"Answer: -3057*d + 2700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79991 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31700 is divided by 447.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6) - (-399)\/171.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145466 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 81. Suppose 0 = -2*l + k - 14. Do l and 28 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -r + 30. Let d(g) = 3*g - 1. Calculate d(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:27 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 128998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -14.19 (c) 2\/9 (d) -5 (e) -1561\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 18 = 5*l - 8, 0 = -4*k + 4*l + 152. Let f = 27 - 18. Let s be 2326\/(-8) - f\/k. What is s rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 0) + 19 + -23 - (-2 - 5) - 111?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1252 - -8783\/7. What is the common denominator of -74\/3 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160777 - -244077. What is s rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.78 and 0.02701?\nAnswer: 0.0210678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 50. Let q(w) be the third derivative of 1\/30*w**5 + 0 + 0*w**4 + s*w**3 - 1\/40*w**6 - w**2 + 0*w. What is the third derivative of q(y) wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/396 and -5\/1232?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151169229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*h*m**4 - 83126709*h*m + 243241*m**5 wrt m.\nAnswer: 336*h*m**2 + 4864820*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 11:06 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -0.303, 2\/11, 0.2215, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 540029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22\/15 + -9\/5. Let n be (-2)\/10*(-3 + 0\/5). Which is greater: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 50 - (-6 + 0)) + 5 + 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 7*q**2 - 12*q + 10. Let a be d(4). Let i = 68 + a. Suppose 0*n - 549 = -3*n. Calculate the remainder when n is divided by i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*(i*i*i**0*i)\/i)\/(i**8*(i\/i**(-3))\/i))\/(((i\/i**(7\/2))\/(i**(-5)\/i))\/(i*i**2*i*i**(-5)*i)) assuming i is positive.\nAnswer: i**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/((1*sqrt(132))\/sqrt(11)))**2*2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -7 (b) -2 (c) 2\/7 (d) 4 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - x - 6, -2*w - 3*x + 131 = 81 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(27120\/23617))\/(4 - (-12)\/8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*c = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**3*x**3 + 33*h**3*x**2 - h**3 - 14*h**2*x + 629*h*x**3 wrt h.\nAnswer: -48*x**3 + 198*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.06 (b) -10 (c) -0.4 (d) -378.92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-96)\/(-15) + -6 + 0 + 0). Solve -d*q - 1 = -6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100001 + -10000?\nAnswer: 101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 7:03 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 2692, 14, -8, -1 in descending order.\nAnswer: 2692, 14, -1, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -33055\nAnswer: -33055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30077 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 14171.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -21. Suppose -2*h - o = -6*h. Calculate the greatest common divisor of h and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 676984726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, -36, -5, 7.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114787.\nAnswer: 79, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r + 59 = -22*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4295208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 486581 times -3\nAnswer: -1459743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**5 - 13*c**4 + 10*c**3 + 7*c. Let r(f) = f**5 - 4*f**4 + 3*f**3 + 2*f. Let y(a) = -2*n(a) + 7*r(a). Determine i, given that y(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -8\/5*p**2 - 23\/150*p**6 + 1\/70*p**7 + 0 - p + 17\/25*p**5 - 8\/5*p**4 + 32\/15*p**3. Find w such that l(w) = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 87, 99, 133, 201, 315, 487?\n\"Answer: 2*h**3 - h**2 + h + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y. Suppose o - 8 = -w - 9, 2*o + 4*w + 4 = 0. What is j(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**3 - 4*p**2 - 2*p - 3. Let n be u(-3). Let x = n - 89. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/67 + 249\/536. Does 2 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15668177 - 6824704 = -267*d. List the prime factors of d.\nAnswer: 3, 28081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {g: 1, n: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + 17 + 3 - -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004721388 rounded to seven decimal places?\nAnswer: -0.0004721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 - 3*x - 5. List the prime factors of w(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -699305 by -139861.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13877891 rounded to the nearest ten thousand?\nAnswer: -13880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/21)*n*n**(-5\/6) assuming n is positive.\nAnswer: n**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110100110011110011010 (base 2) in base 6?\nAnswer: -443534254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26553 is divided by 22380.\nAnswer: 4173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -68*i**3 - 6*i**2 + i - 2. Let t be y(6). Round t to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 3. Let y = -10 + 11. Let i(a) = 4*a + 3*a + 3 - 6*a - 2. Determine y*c(p) + 3*i(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 7*x - 15. Let l be w(7). Let r(d) = -d**2 - 15*d + 7. List the prime factors of r(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*f*u**4 + 6385*f + 18*u**4 wrt u.\nAnswer: -304*f*u**3 + 72*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 12*h**3 + 52*h**2 + 96*h + 64.\nAnswer: (h + 2)**2*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2976 + 2954. Which is the fourth smallest value? (a) k (b) 2\/7 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - -84)\/4 + -907. Which is the fourth smallest value? (a) u (b) 5 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 4*r + 0*r + (-3 + 0 + 5)*(2*r + 2*r + r)*(1 + 2 - 4) + 3*r + 0 + 0 in the form u*r + v and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = d - 44 + 40, 48 = 5*d + i. Solve -175 = 15*u + d*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {u: 5, h: 8, q: 2, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -3*w - 2*q, 5*w + 152*q + 95 = 157*q. Let r = 2.26 - 1.26. What is the smallest value in 1\/3, r, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 909 - 909. Solve g + 6*s - 6 = 3*s, u = 2*g - 3*s + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 54 - 9. What is the units digit of (i\/6 - -3)*22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)*j*j)**(19\/6)\/(j**6*j**(-3)\/j) assuming j is positive.\nAnswer: j**(59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 311*v + 622. Calculate z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4642587.93 + 4530873.9305. Let i = 111742 + k. Let c = 28 - i. Round c to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 481, 458, 389, 250, 17, -334?\n\"Answer: -4*h**3 + h**2 + 2*h + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 71*n - 188. Solve q - 2 = -n*r, -10 - 9 = q - 5*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s = 64. Suppose -x = -v + 26 + s, 0 = -4*x + v - 238. Let l be (-2)\/(-7) + x\/(-35). Solve 3*o + h + l = 5, 4*h + 20 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -5*q**3\/3 - 5*q**2\/2 - 11*q + 6. Let u(b) = -2*b**2 - 2*b - 4. Let k = -7 + 11. Calculate k*l(s) - 11*u(s).\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 - -205. Suppose -y - s = -3*y. Suppose -y = 5*x + 5*b, -b - 4*b = -4*x + 5. Let m(q) = 2*q + 2. Let h(f) = f + 1. Calculate x*h(p) + 3*m(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 1, k: 6, s: 2}. What is prob of sequence qr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 15*l**3 + 7*l**2 - 7*l + 2. Let v(a) = -a**3 + 1. Let j(h) = -n(h) - 5*v(h). Let r(x) = 7*x**3 + 5*x**2 - 5*x + 5. Determine 5*j(o) + 7*r(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-6)\/10 - (-55944)\/1110. Sort t, 4, 56.\nAnswer: 4, t, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(425) + 4.\nAnswer: -1 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c11742 - 5?\nAnswer: -c11747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/8)\/(2\/1). Let p be 1\/(-2) - 1\/(-2). Suppose -2*r = u + 5, 24 - 8 = -6*r - 2*u. Which is the closest to p? (a) 0 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/157 or 4167?\nAnswer: 4167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 + l. Let x = -20 + 14. Let z(r) = -r**3 - 6*r**2 + 3. Let u be z(x). Suppose 2*d - 1 = u*d. Determine y(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = -5*a - 3*p, -4*a = -p - 1. Suppose a = -3*f + 4 - 1, -5*u + 47 = -3*f. Calculate the lowest common multiple of 18 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3264*s**3 + 4678*s**3 - 1415*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68414669.\nAnswer: 1933, 35393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 50 = -106. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224 divided by -906961.\nAnswer: -1224\/906961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 s when three letters picked without replacement from {s: 7, v: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. Suppose 5*x - j*f + 8 = 3, -5*x = 4*f - 31. Suppose -x*t = -2*q - 0*t + 35, q = 3*t + 13. Solve -q = 4*n + 5*z, 4*n - 5*z + 0 = -2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*d**2 - 13*d**2 - 21*d**2 - d - 1 to p*d + w + o*d**2 and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449, -474, -499, -524, -549, -574?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i - 6*i**4 + 5*i + (-2*i - 2*i + i)*(10 - 10 - 4*i**3) - 2*i**4 + 2*i**3 - 2*i**3 to b*i**4 + c + f*i**3 + u*i + l*i**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)\/l*l)\/l*l*l)**(-11\/7) assuming l is positive.\nAnswer: l**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12608.3 - -12608. Which is the nearest to -1\/6? (a) j (b) -26 (c) -1 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, 1, 1072, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 12:11 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6741842 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368051*v**2 - 1 - 1 - 366690*v**2 + 2.\nAnswer: 1361*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 8:40 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 72 and 0.763?\nAnswer: 71.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262622098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:58 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003859334448 to seven dps.\nAnswer: -0.0000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 70*m**3 + 725*m**2 + 55*m. Let p(j) = 5*j**3 + 52*j**2 + 4*j. Give -4*b(i) + 55*p(i).\nAnswer: -5*i**3 - 40*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*z + 108 - 104 + 0)*(-4*z + z - z) to the form l*z + o*z**2 + i and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34.8 from 122739583054.\nAnswer: 122739583019.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/120 - 7*c**5\/60 - c**4\/24 - 3*c**3\/2 - 15*c**2. Calculate w(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcbpcaacuupusb. What is prob of picking 2 b and 1 s?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -2 + 0 + sqrt(3) + sqrt(3) + sqrt(3) - (sqrt(18)*2)\/sqrt(6))*5.\nAnswer: -10 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 3, -6\/11, 0.1?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-135 + 151 + 0 + 1 - 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -15, -2489, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 1 = -5*w, -148*w + 141*q - 32 = -153*w + 139*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/12)\/(848\/318) and 61\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1519092 millimeters to kilometers.\nAnswer: 0.0000001519092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 7:15 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 123676158653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -691, -2796, -6305, -11218, -17535?\n\"Answer: -702*a**2 + a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z - 257. Let a be l(30). What is the greatest common divisor of 3 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-180)\/150)\/((-2)\/(-2075)). Let i = l + 13697\/11. Factor i*y**2 - 2\/11*y**4 - 1\/11*y + 1\/11*y**5 + 0*y**3 + 0.\nAnswer: y*(y - 1)**3*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-42))\/(2\/(-8)). Let w = -0.1 + 0.3. Which is the closest to w? (a) 2\/9 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 16270607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 6) in base 11?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375.83 - -378. Let n = x + -2.6. Let h = n - -0.4376. Round h to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 1520?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -3 - 7 - (101 + -168)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 - 2*i**2 - 22*i - 43*i + 7 + 15 as f*i**2 + o + c*i and give c.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -0.3, -2\/45, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 61 = 4*n, -2*n + 12*w = 64*w - 788 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00359334 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-1\/6)*u)\/u)\/u)**(1\/34))**15 assuming u is positive.\nAnswer: u**(-35\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10256, -19, 10, 2, 1, 4 in descending order.\nAnswer: 10, 5, 4, 2, 1, -19, -10256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -37*b**6\/6 + 16*b**3\/3 - 54. What is the third derivative of u(i) wrt i?\nAnswer: -2220*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(2*3\/(-3)). Suppose -2*a + c = -7, -4*a = -3*c + 7 - 18. Let p = d + a. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v. Let b(d) be the third derivative of -d**5\/20 + d**4\/6 + 1591*d**2. What is b(w(u))?\nAnswer: -48*u**2 + 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.741793 and -4.\nAnswer: -3.258207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 5, b: 8}. Give prob of sequence ut.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 3977930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -98, -110, -132, -170, -230?\n\"Answer: -y**3 + y**2 - 8*y - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1, 5, 6.\nAnswer: 1, 5, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6814091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 872 + -812. What is the greatest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 8:20 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49451 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 2*v + 1. Let l be h(-1). Let p = 0.1 + -0.1. Let y = 0.2 + p. What is the nearest to -2\/7 in y, 3, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 54*g**2 + 6*g + 23. What is the units digit of o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.445 + -12.4. What is u rounded to 3 decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382 - 4 = 14*a. Let f be 4\/30*a + -4. Let c = 42.9 + -43. What is the fourth smallest value in 2\/11, c, -5, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.138358 litres in millilitres?\nAnswer: 2138.358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*z - 3*z**2 + 2*z**2 + 147*z + 20*z - 2*z**3 as p*z**3 + h*z**2 + x + r*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p + 15. What are the prime factors of (1 + 12)\/(p - 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p. Let o = -3 - 19. Let f = o + 28. Let d(l) = l. Let n(y) = f*d(y) + j(y). Let u(q) = 2*q**2. What is n(u(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -15.8 (c) -23 (d) -2\/21 (e) 4\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 27*a + 60. What is the units digit of h(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 12. Let o(i) = 17*i + 49. Let c be o(-3). Let t(b) = -30*b - 56. Let h be t(c). Sort 5, w, h.\nAnswer: w, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujuu when four letters picked without replacement from juuuj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -9*h**7\/70 - 23*h**6\/120 - 1855*h**4\/24 - 2359*h**2 + 2. Find the second derivative of v(k) wrt k.\nAnswer: -324*k**2 - 138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*i - 22694 = -24902 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**5\/24 - l**4\/12 + l**3\/3 + 2. Let p(b) be the third derivative of h(b). Is 11 a factor of p(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -88. Let f(i) = i**2 - 20*i - 21. Let v be f(21). Suppose 2*h - 33 + 13 = v. Calculate the lowest common multiple of b and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2124*v**3 + 13*v**2 - 2*v + 1657356?\nAnswer: 6372*v**2 + 26*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -289806 or 1012?\nAnswer: 1012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 5) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - (2 + -1)) + 14 - (-1 - 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = 3. What is j in 9*j**3 + x*j**2 + 47 + 9*j**4 + 3*j**5 - 47 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + 2 - 2 - 38*d**3 - 6*d + 11*d.\nAnswer: -38*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*i = 60*i + 956. Suppose 3*j + 3*a - 639 = j, 3*j - i = -5*a. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(3 + 0 + -1 + sqrt(605) + -1)*-2)*-4.\nAnswer: -176*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1015 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7.1019*-2.88\nAnswer: -20.453472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o + 6*o + 0*o. Suppose -y + 5*z - 21 = 0, -4*y = 5*z - 30 - 11. Let a(q) = y*q - 2*q**2 - 4*q. Determine s(a(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -991 - -3937\/4. Find the common denominator of 83\/22 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/37529750 and -117\/1000.\nAnswer: 150119000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:36 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by (-1 + (-7)\/(-2))*43976\/460.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:06 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five quarters of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l*l**(3\/16)*l)\/l)\/l*l\/(l\/(l\/((l\/(l\/l**(-5\/6)))\/l)*l)))\/(l**(-5)\/(l*(l\/l**(1\/9))\/l)) assuming l is positive.\nAnswer: l**(1571\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 627 - 601 + 0*c + c - c.\nAnswer: -c**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692201.\nAnswer: 3, 7, 61, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260267277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**5*w)\/(w*w**11))\/((w*w**(4\/7)*w)\/w*w\/(w*w**8)*w) assuming w is positive.\nAnswer: w**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001521766 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-6)\/(-8))\/((-435)\/(-1160)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 16*c + 15. Let s be i(0). Suppose 0 = 21*a - s*a - 780. What is the greatest common divisor of 20 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.5 (c) 2 (d) 380\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -307 - -307.2. Let j = 11.6 + 1.4. Let p = j + -10. Which is the closest to k? (a) -1\/7 (b) -3\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 4*u**4 - 12*u**3 + 40*u**2 - 38*u + 12.\nAnswer: 2*(u - 2)*(u - 1)**3*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 5*i + 6. Let d be y(-2). Suppose 46 = -d*t - 2. What is the nearest to 1\/4 in t, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*o - 9 = 0, 0 = 5*p + 3*o - 0*o - 9. Suppose p = 5*g - 3301 + 256. Suppose g = 4*r - r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 14*q - 15. Let w(i) = i**2 - 22*i + 28. Let u be w(21). Suppose -u*d = -26*d - 266. What is t(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647387200?\nAnswer: 2, 5, 17, 23801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -28 + (-4 - (-4 + 2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, s: 3, e: 1, m: 1, b: 3, v: 4}. Give prob of picking 1 e and 1 b.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -50?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9606 - 9534. What is the least common multiple of f and 64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 45*r**4 - 10605*r**3 + 38375*r**2 - 22055*r + 3480 = 0?\nAnswer: 1\/3, 3, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2084, -4183, -6292, -8417, -10564, -12739?\n\"Answer: -j**3 + j**2 - 2095*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2483 - 5894 = 666*u + 3915 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.2*4.\nAnswer: -72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8)*(-3298296)\/(-477). Which is smaller: y or -1730?\nAnswer: -1730","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -364a + -2?\nAnswer: -364c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 36*b + 3681. Determine y(-92).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2407*c - 318496 = 2375*c. Calculate the remainder when c is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*i + 37. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((12\/(-2715))\/(-4)). Let a = 1390 - s. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 10 + 4 = -281*y + 286*y + 3*i + 4, 0 = i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 3006*i + 18028\/3.\nAnswer: 2*(i + 2)*(i + 4507)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3177737865 rounded to the nearest 1000000?\nAnswer: -3178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 + 16304*g**3 - 16597460*g**2 - 33260168*g = 0. What is g?\nAnswer: -2, 0, 2039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 15 = -0*z - 5*z, -2*z = 2*a - 14. Let d(n) = 4*n**2 + 2*n - a*n. Let w(c) = -31 + 59 - 2*c**2 - 28. Determine d(w(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**10\/1209600 + x**8\/53760 - x**7\/20160 - x**5\/10 + 8*x**2. Let l(c) be the third derivative of n(c). Factor l(v).\nAnswer: -v*(v - 1)**2*(v + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 7*g - 4. Let s be l(6). Suppose -4*t = 36*w - 33*w - 6, 3*w + 8*t = 6. Solve 2*c + 14 = -w*m, -s*m + 7 + 3 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 23*w - 3. Suppose 2*d = -5*h + 14, 0 = -3*d + 2*d - 2*h + 7. Let o = -5 + d. What is the units digit of i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + p + 1 = 0, -r + 2*p + 3*p + 5 = 0. Let y(x) = x + 10. Let j be y(r). Let s be j\/(-12) + 2\/(-12) - -1. Let k(w) = w - 3. What is k(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25579*h - 4837.\nAnswer: -25579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(30\/(-4))*6. Suppose 0 = -0*n - k*n. Suppose 0 = 5*i - 5*d - 10, -i + n*d = 2*d - 11. Calculate the highest common factor of i and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -12?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 13 - 36 = 0. Calculate the remainder when 32 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5 - 3512*g**4 - 1545276*g**3 - 3080024*g**2 - 1538258*g = 0.\nAnswer: -877, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 4:32 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -450 - -9454\/21. Are -1 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*d - 28, 0 = 2*f + 2*d + 16. Is 9 a factor of (-1)\/(f\/(-496)*-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 4713.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -851700 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(135)*-4 + (sqrt(135) + -1*sqrt(135))*2)\/(1*sqrt(245) + sqrt(55)\/sqrt(539)))**2.\nAnswer: 5292\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**6\/120 - u**5\/15 - u**4\/12 - 7*u**3\/6 + 311*u**2. Determine s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 4*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 21\/9) + 5\/3. Which is the fourth biggest value? (a) 0.4 (b) 4\/7 (c) m (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 7:17 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m - 280959 + 286937 = 126*m for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzh when three letters picked without replacement from hhzwhswochzzchh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**3 + 4*t**2 - 3*t + 3. Let o(w) = w**3 + w**2 - w + 1. Let p be -5 + 10 + (-4 - -3). Give p*o(x) - f(x).\nAnswer: -2*x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*h**2 + 24*h**2 + 139*h**2 to the form z + n*h + c*h**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(360) - 3*(sqrt(360) + ((-1*sqrt(360) - sqrt(360)) + sqrt(360) - sqrt(360)) + sqrt(360) - sqrt(360)) - sqrt(360)))\/(5*5*1*1*sqrt(2)).\nAnswer: -54*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2984839258 to the nearest integer?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -187, -377, -567?\n\"Answer: -190*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, v: 4}. What is prob of picking 2 z and 2 v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*n - 71, -5*f + n = -2*n + 245. Let v = f - -46. Let y(l) = l + 7. Let o be y(-5). Solve v = 5*j - o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.051867*-0.75.\nAnswer: 0.03890025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 58 = -u - u, 0 = 5*i - 10. Suppose m - 4*m = u. Let q = 12 - m. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 4*j + 79, -2*r - 5*r - 1588*j + 47 = -2*r - 1590*j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 99. Let h be (-2)\/2 + y\/(-4). Let x = 51 + h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Let u be l - 2\/(-3)*-3. Factor -2*m**2 + u*m**2 + 4*m**3 - m - 2*m**3 + m**2.\nAnswer: m*(m - 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.72 times -1.536772?\nAnswer: -1.10647584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3848300420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (35*10\/20)\/((-6)\/(-144)*42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.422573 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47120910.\nAnswer: 2, 3, 5, 1570697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) -0.4 (c) 9 (d) -0.2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 486413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4443\/8, 1\/5, -3 in descending order.\nAnswer: 4443\/8, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 12*o**3 + 3*o**2 - 28*o**3.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6492)\/(108\/(-32) - -3) + (-74 - -80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*b**3 - 12*b**3 - 19*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15823891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.23? (a) -9208 (b) -0.2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4\/11 + 6298*o**3\/11 + 50296*o**2\/11 + 125672*o\/11 + 100512\/11 = 0?\nAnswer: -3141, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j - 275 - 274 = 30*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33.94 at least 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*l = -18. Let n(b) = -b - 3. What is the smallest common multiple of l and n(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5\/2 + 10659*i**4 - 37399755*i**3\/2 - 837517650*i**2 - 10718565000*i - 30673500000 = 0?\nAnswer: -20, -4, 3575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 10*d**2 - 25*d - 4. Give f(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 6*f**2 + 5*f + 2. Let h be l(-2). Let s(k) = -k + 9. Calculate s(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.93 - -3. Let g = -1245.0687 + 1245. Let i = g + y. What is i rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 - -226. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 - -2829. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -31*y - 20. What is the tens digit of r(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-6)*8\/1424. Suppose -y = 4*n + 13, 2*n = -y - 7 - 0. Which is greater: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*x + 53 + 10 = 0, -2*f - 4*x = -126. Let t = f + -9. Let k = t + -17. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {e: 1, o: 1, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - i + 2203 = 4*i, i = 3*g - 3279. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from rwdrldr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 28. Calculate f(13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(325) + (sqrt(325) - (sqrt(325) - (sqrt(325)*1 + -4))) + (sqrt(325) + -1 - sqrt(325))*1))**2.\nAnswer: -1600*sqrt(13) + 21200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.78 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -1454441?\nAnswer: -1454446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/51 + -421\/442. Calculate the common denominator of b and 23\/11.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -1 + (426 - 420) + -2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -2*h - 76. What is the third derivative of 17*n**2 - 19*n**2 - 12*n**6 - h*n**6 wrt n?\nAnswer: -2040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 2320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -27*x**3 - 928*x**2 - 330*x + 345. Determine r(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1194 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142.307 + 142. Let j = c + -0.093. What is the third smallest value in 19, 0, j?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen twelths of a minute in milliseconds?\nAnswer: 65000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10757 - 11?\nAnswer: -10768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22510544 and 56?\nAnswer: 22510544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/10 and 63\/11542295.\nAnswer: 23084590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3 + 3626*q**2 + 5507*q wrt q.\nAnswer: -12*q + 7252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8561 is divided by 136.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116687605?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 11*v**2 + 19*v + 19. What is s(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen halves of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -125975*h - 1511696. Determine f(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25342, 25656, 26180, 26914?\n\"Answer: 105*f**2 - f + 25238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 a factor of 188715872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.84, 3\/4, 5, -10333, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7706168\/11 + 702557. Let w = v - 1993. Which is greater: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 31 + 1\/(4\/(-8)). Suppose -4*f = -4*j - 132, 2*j - n = -f + j. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 44*s - 284. Is r(11) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 7963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:55 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-231)\/(-21))\/77)\/(1\/35).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 2*v + v)*(3*v - 5*v + v) + 11733*v**2 - 4330*v**2 + 7596*v**2 in the form b + s*v + q*v**2 and give q.\nAnswer: 14997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 minus 2?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192315, -769248, -1730801, -3076974?\nAnswer: -4807767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 437119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j*j**5)\/((((((j\/j**1)\/j)\/j)\/j)\/j)\/j)**(-4\/17) assuming j is positive.\nAnswer: j**(-3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 10*u + 20. Calculate the remainder when 59 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {i: 1, z: 8, b: 2, u: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*o**3*u - 6*o**3 wrt u.\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2. Suppose -z*b = -38 - 4. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r = -13 - 47 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2780.99 rounded to the nearest ten?\nAnswer: -2780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (283*m - 339 + 348 + 687*m)*(3 + 3 - 4).\nAnswer: 1940*m + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -220\/9*x**2 + 4\/9*x**5 + 8*x + 0 - 28\/3*x**4 + 76\/3*x**3 = 0.\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/9*6\/7. Suppose -3*o + r = -2*o - z, 0 = o + r - 4. Suppose -5*d + o*d + 113 = 5*l, 3*d + 5*l = 319. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 990792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + g - 1. Let f(p) = p**3 - 3*p + 2. Let d(t) = -f(t) - 3*z(t). Calculate d(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 6167*d**6\/6 - 2787*d**2\/2 - d - 4725. Find the second derivative of i(u) wrt u.\nAnswer: 123340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*q, 5*b - 68 = -3*q + 5*q. Suppose -2*r - 4*x + 52 = 0, -3*x = 3*r - 0*x - 90. Calculate the remainder when r is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = w - 5*w, 3*d - 2*w = 3. Suppose 5*o - v - 2 = d, -3*v - 15 = 5*o. Let x = 755 + -755. Solve o = 4*r - x*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 332066 = -220874. Is 171 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001111011011011 (base 2) to base 13\nAnswer: 15683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*g = -413*g - 30 - 10. Sort 0, -9, g, 5 in descending order.\nAnswer: 5, 0, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 35*b**2 - 780*b + 220 = 0.\nAnswer: 2\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:53 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a (base 11) in base 9?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18724661?\nAnswer: 457, 40973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b = 56. Let c = -17 - -61. Let q = b + c. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1 - 1 - 6 - 5 + 0 + 2 + 0 + (2 - 1 + 0)*(-1 + 4 - 2))*((-1 + m + 1)*(1 - 2 - 1) - 6*m - 2*m + 5*m) to w*m + l and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7376086 grams in nanograms?\nAnswer: 737608600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801922, -801911, -801900, -801889, -801878?\nAnswer: -801867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 - 15 + 15 + (-2*n + 0 + 0)*(3*n**2 - 5*n**2 + n**2) - 5*n**3 + 2*n**3 + 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.8*319.\nAnswer: 3445.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 2\/7, -2\/21, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 304159162205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70464 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45901, 183599, 413095, 734389, 1147481, 1652371, 2249059?\n\"Answer: 45899*g**2 + g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8433.\nAnswer: 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 4*t - 1. Let z be h(5). Let m be 0 - 2\/3*z\/(-12). Let g be (m + -27)\/(-8) + 19 + -1. What is the highest common factor of 168 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b**3 + b + 7. Let r be j(-2). Let o = r + -461\/4. Sort 0.3, o, -0.4, 2\/3 in descending order.\nAnswer: o, 2\/3, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 4*i**2 + 35*i - 4. Let c be l(8). What is the highest common divisor of c and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4493.404 + -4485. Let w = m + 1.66. Let g = -10 + w. Round g to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-10)\/(-12) + 3325\/(-570). Let h(t) = 15*t - 1. Calculate h(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**4*y**2 - 2545751*d**4*y + 70*d*y - 156004*y**2 wrt d.\nAnswer: 12*d**2*y**2 - 30549012*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278341091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/4*(-12)\/(-10). What is the units digit of (-4)\/v*9\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**3 + 12*s**2 + 4*s - 12 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 307*p - 1 - 309*p + 97*p**3 + 0*p**2 + p**2 to z + c*p**3 + k*p**2 + v*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -966*m - 152 - 409 = 3303 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47597489, 47597484, 47597477, 47597468, 47597457?\n\"Answer: -j**2 - 2*j + 47597492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*n = 28*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/6)\/o**(-21) assuming o is positive.\nAnswer: o**(125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*s - 15, -5*t + 2*s + 149705 - 149726 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16752145571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -3338264, 2?\nAnswer: -3338264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 805500026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) -3 (c) -12.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 6:13 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-3 - (-5 - (1 - 1))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l - 16. Suppose -2*b - 46 = -5*c, 4*c + 5 = 3*b + 46. Let w be o(c). Solve 4*u - 8 = w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z. Round z to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3596)\/(-5452)*47)\/(-5)\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -397, 0.005, -8\/35, 1\/2, 1 in ascending order.\nAnswer: -397, -8\/35, 0.005, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m**(-4\/13)\/m)))\/m*m**(7\/4)*m\/(m\/(m\/(m\/m**(-14\/9)*m*m)))*m**(-3) assuming m is positive.\nAnswer: m**(-3797\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13) + sqrt(13) + sqrt(468) + 5)**2*1.\nAnswer: 90*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(375\/90) - -14. Solve 4*o + 2*g + 4 = 6, -o = -2*g - y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 o when three letters picked without replacement from {r: 3, o: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -271824 by -48.\nAnswer: 5663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + r**2 + 12*r + 16. Calculate the remainder when i(-5) is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916751727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 222, 446, 672, 900, 1130, 1362?\n\"Answer: y**2 + 221*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11476.34 rounded to the nearest 10?\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/246517 and -11\/204?\nAnswer: 2958204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/939 and 99\/626?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**7\/525 + m**6\/25 + 39*m**5\/25 - 27*m**4 - 1215*m**3 + 577*m**2. Solve a(c) = 0.\nAnswer: -9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155? (a) -5 (b) 15\/2 (c) -4 (d) -13.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlh when three letters picked without replacement from {l: 5, x: 2, v: 2, h: 4}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43238, -43215, -43178, -43127?\n\"Answer: 7*z**2 + 2*z - 43247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*h - 66, 0 = 4*h + 2*r + 9 - 81. Find the third derivative of -h*o**5 + 50*o**5 + 18*o**2 - 14*o**5 wrt o.\nAnswer: 1140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 4*i - 1. Calculate the remainder when i is divided by (50\/(-15))\/5 + 47\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -776636, -1553285, -2329934?\nAnswer: -3106583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*x**2 + 26*x**2 - 26*x**2 - 5 + 11*x**2 - x**2 - 3*x**3 to u + n*x + f*x**3 + a*x**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-966)\/8 - (27\/12 - 2). Let n = -121 - c. Suppose -u + 3*y - 21 = 2*u, 5*u + 3*y - 5 = n. Put 1, 3, u in descending order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/14*((-2709)\/18)\/43?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4935 is divided by 1476.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 29. Let c = -3757\/326 - -4\/163. What is the common denominator of 15\/h - (-854)\/(-60) and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.78 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = 7250*v - 7247*v, -5*v + t + 13 = 0. Solve -v*b + 12 = -4*c, 0 = 5*c + 5*b + 429 - 424 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and 0.0583.\nAnswer: 2.1571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354758704.\nAnswer: 2, 13, 1931, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.631 to one decimal place.\nAnswer: 32.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/6)\/((-9)\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4\/9 - 20*j**3\/3 - 104*j**2\/3 + 2108*j\/9 - 578\/3 = 0.\nAnswer: -17, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 209*k**2 - 116*k + 1241. Let x be d(104). Let o(g) = -3*g + 18. What is o(x)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164.22 - -168.22. What is the smallest value in 1\/7, -5, -7.13, l, 2\/7?\nAnswer: -7.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 400.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/8*2\/6. Let n = -0.0862 + 0.095. Let z = 0.2088 - n. What is the smallest value in z, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 + -266?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 greater than 175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 + -154. Let o = -505926.271 - -506154. Let h = m + o. What is h rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0425 - 0.017. Let u = 0.012 - s. Round u to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 k when three letters picked without replacement from {p: 1, n: 1, g: 1, k: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i*i*i**(-1\/4)*i))\/i*i)**(13\/5))**11\/((i**(-3\/2)\/i)\/i**(-4))**(2\/43) assuming i is positive.\nAnswer: i**(-18507\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -113, -169, -225, -281?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 16*l**2 + 21*l - 66. Let u be s(17). Solve -8 = 3*a - u*a - r, 2*a - r = -11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 22201100121012020?\nAnswer: -22201100121012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100711 and 30927.\nAnswer: 3927729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 107263 - 370?\nAnswer: 106893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-38 - (-105 - -12))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1821 - 1801 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 742 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7363?\nAnswer: 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2585 - 10419\/4. Let j = -393\/20 - r. Let l = -0.18 - -0.18. What is the second smallest value in l, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 9:44 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 6*d**2 - 14*d - 62. Let h be b(-6). Find the second derivative of 10*w**2 - 19*w + 15*w - 44*w - h*w wrt w.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.999999911 - -25. What is w rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -10*i**2 - 6*i + 27. Let j be r(3). Let a be (-7)\/(1\/10*2). Let b = a - j. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26642 and 7392?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2397392 is divided by 11359?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 11\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376392 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2505 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = -5*i. Let f be 1*(i + (0 - (-5 + 3))). Suppose k = -2*g + 11, -5*k = 5*g - 0*g - 30. Solve f*a + g = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17904045.\nAnswer: 3, 5, 1193603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152811 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q - 8. Suppose -11*d - 74 - 124 = 0. Let l(x) = -x - 1. Determine d*l(k) + 2*c(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 4)*(6*x - 6*x - 2*x)*(-19 - 41 + 0) to p*x + t and give p.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*n**4 - 69*n**3 + 12*n**2.\nAnswer: -3*n**2*(n + 4)*(6*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 4*f**2 + f - 3. Let j be l(-4). Suppose 125*a - 416 = 93*a. Let r = j + a. Let n(h) = h**2 - 7*h + 7. Determine n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.31? (a) 3\/7 (b) 1\/4 (c) -0.6 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -11. Differentiate -2 - 4*o**4 + 1 - 3 + c wrt o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (254501\/52 - 15)\/((-18354)\/16). Let c = i - -101\/23. Find the common denominator of -149\/6 and c.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1481*y + 1486*y - 4485. What is the greatest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001094 to 5 decimal places.\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211894?\nAnswer: 2, 53, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -437 + 833. Let m = r + -396.3. Which is the biggest value? (a) -7 (b) 0.1 (c) -0.4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**5)\/u)\/((u**9*u)\/u))\/(u**(-2\/9)*u\/(u*u**(-3\/7)*u*u))*(u**(-1)*u*u)**(-9)\/(u*u\/(u\/u**1*u))**(-6\/35) assuming u is positive.\nAnswer: u**(-6311\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15844061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295180 is divided by 1426.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2050 (base 8) to base 12.\nAnswer: -748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - q = -15, -4*q + 9 = -q. Let p = -13 - -12. Sort p, -2, y in ascending order.\nAnswer: -2, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 421333 = 1316391. Let x = z + 236431. What is x rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n = 13 + 77 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.1. Let d = 0.26 - 0.36. Put d, p, 4 in decreasing order.\nAnswer: 4, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 3*l + 8*l + (-5 + 2 + 4)*(0 + 0 + 2*l) - 3*l - 6 + 6 to the form k*l + v and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -114*r + 1479. What is d(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126721*z**2 - 680*z - 330370528.\nAnswer: 253442*z - 680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 283390599 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2) - 883\/(-2). Let m be ((-5)\/15)\/(3\/h). Let d = m - -97. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20371008 and 72.\nAnswer: 61113024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 191*t - 9. Let j(b) = 509*b - 27. Let y(r) = 8*g(r) - 3*j(r). Calculate y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-24)*54\/4. Suppose -2*w - 4*i + 0*i + 124 = 0, -2*i - 370 = -5*w. What is the greatest common divisor of w and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*h + 252716 = -2*h, -126365 = -s + 2*h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + o**3 + o**3)*(1 + 3 - 5)*(o - 2*o + 2*o).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -54 + -59 - 2\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.016 + 3. Let g = -370 - -369.276. Let f = g + c. What is f rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399, -886, -1323, -1680, -1927, -2034?\nAnswer: -1971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {j: 2, u: 1, c: 2, e: 4, b: 3, r: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + u = -294, -130*u + 128*u - 88 = -x. What is the remainder when 123 is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3 - 11 + 0 + 7 + 15*p. What is the tens digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 + 78 - (34 - -3)) + (33 - -4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*1 + sqrt(432))*4 + sqrt(432))\/sqrt(9) + -3 + (sqrt(27))**2 + 0 + (sqrt(3)*2*1)**2.\nAnswer: 36 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 400892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) 67\/7 (c) -2 (d) 0.2 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12895 in 3, 3\/4, 4\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 412\/9 + -2587\/63. Let u = x - -1\/28. Let h = -973\/31 - 7\/62. Calculate the common denominator of h and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**6\/2 + t**5\/5 - t**3\/3 - 70*t - 35. Find the third derivative of v(z) wrt z.\nAnswer: -180*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 155010 * -0.2.\nAnswer: -31002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 38212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = n + 115 + 192 - 126, 2*p = 2*n - 70 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 420.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-14)*(-9)\/(-12)*((-16)\/(-172))\/1?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, 2, 5, -468, -2 in descending order.\nAnswer: 132, 5, 2, -2, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2. Let k(m) be the third derivative of m**5\/120 - 19*m**4\/24 - 7*m**3\/6 + 12*m**2. Let l(b) be the first derivative of k(b). Calculate z(l(x)).\nAnswer: 2*x**2 - 76*x + 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6.5 (b) 1 (c) 2\/47 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 15. Let k = c + -18.844. Let z = -0.15600093 + k. What is z rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**8\/168 + 401*i**7\/210 + 11*i**4\/3 - 2*i**3\/3 + 668*i**2. Find the second derivative of n(r) wrt r.\nAnswer: -40*r**3 + 4812*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/2)*p**(-3\/2)*p**(-6)\/p**(-3)*p**4*p*p**(-7)*p*p**(-6)*p*p*p*p**4 assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -28 and 2407917.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*r**2*x + 2*i**2*r*v**2 + 6*i**2*v + i*r**2*v**2*x + i*r*v**2*x - 12*x wrt r.\nAnswer: -6*i**2*x + 2*i*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27, 37, 21, -33, -137, -303, -543?\n\"Answer: -2*q**3 - q**2 + 27*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 24, 31 = 5*d - 14*p + 13*p. Solve c + 10 = 2*z, c + d*z - z = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k + 6. Let i be (-1 - -4) + (-5)\/(-5). Let u(h) = i + 0*h + 2*h - 2. Calculate 5*o(v) - 14*u(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/9)\/(4\/(-6)). Let w be (-1)\/((-3)\/108) - k. Calculate the highest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 3846*w - 2038104. Give y(472).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = -0. Let l be ((-6)\/1)\/(-1)*-1. Let f = l - -11. What is the highest common factor of k and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2919288413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0303171057 to 3 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n + 27 = m, 5*m = -4*n + 30. Suppose n - 21 = -4*k. Suppose -k*j - 3 = -7. Solve -p + 0 = j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6476 * 7.\nAnswer: 45332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 p when three letters picked without replacement from pprp?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 59*o**2 - 126*o + 233. What is c(61)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57605647?\nAnswer: 11, 53, 98809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300103 (base 5) in base 2?\nAnswer: 10010010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -1\/330454 in descending order.\nAnswer: 3, -1\/330454, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -4, 0.5, 1\/5, 704, -1641 in decreasing order.\nAnswer: 704, 0.5, 1\/3, 1\/5, -4, -1641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t**(1\/8)\/t))\/t)\/t*t*t)**8*t**(-12\/7)*t\/(t\/t**(-11)))**(-10\/3) assuming t is positive.\nAnswer: t**(-160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.018 and 34403.598.\nAnswer: 34409.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 23. Let s be w(0). Let u = -11 + s. Solve 4*t = -u - 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h - 3. Let x be m(-4). Suppose -x = -4*l + 11. Suppose -a = -6 - l. Solve 0 = -4*w + 1 + a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 842988.9 millilitres in litres?\nAnswer: 842.9889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5699 and 451?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.045 + -0.825. What is t rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13488\/60696)\/((-4)\/(-207))?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-8 + -1) - (374\/44 - 24).\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 300, 1, 8, 5, -1 in increasing order.\nAnswer: -1, 1, 5, 8, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -0.6. Let g(f) = -f + 7. Let o be g(6). Which is the second smallest value? (a) w (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -i + 12, 4*i + 5*h + 2 = -13. Solve i + 4 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6858234 to the nearest integer?\nAnswer: 2619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 7*t + 184, 22*l = 4*t + 19*l + 108 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101\/3 + -701\/21. Let a = -0.33 + 0.3. What is the nearest to d in a, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 7*t**2 + 59*t - 180. Determine a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.51 + 8.81. Which is the fourth smallest value? (a) 2 (b) 25 (c) -3\/5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 104 = 4*h. Let o = h - -26. Solve o = -5*n + 3*n + 5*g + 2, 5*g = -3*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 - 6*n - 5. Let t(b) = -4*b**2 + 5*b + 4. Let m(g) = 3*r(g) + 4*t(g). Let f be m(0). Solve 11 = -2*h + f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 13 = j, -4*t + 6*j + 4 = 2*j. Suppose 5*v - 20 - 151 = 3*d, t*d = -6. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjjsj. What is prob of picking 1 s and 3 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22186.3 + -22186. What is the second smallest value in -0.132, j, -0.2?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (87 - (0 - -2)) + -1. Suppose 4*h + 89 = 5*x, -4*h + 4*x + 0*x = o. Is (h\/(-10))\/((-10)\/(-25)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1276236 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5124\/(-528) - -6) + 114\/(-209).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/2 - 120\/(-30). Calculate the highest common divisor of n and 5310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5438598 is divided by 3440.\nAnswer: 3398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 777150324 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -156.\nAnswer: -19\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 4:02 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 12. Suppose -u*h + 223 = -73. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33286, 66273, 99260, 132247, 165234?\nAnswer: 198221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067403425?\nAnswer: 5, 11, 3881467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864 and 321894?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -139058 (base 12) to base 9\nAnswer: -547075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114)*-4 + sqrt(114))*-4)\/(-1*sqrt(294)) + -4)*-1*-1.\nAnswer: -4 + 11*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/2*(-24)\/(-18). Let f(k) = k**2 - 6*k + 3. Let z be f(r). Let t(d) = 5*d**2 + d**2 - 4*d**2 - z*d**2. Let m(q) = 2*q**2. Calculate m(t(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -268 - -268. What are the prime factors of (y - 1)\/(4\/(-1712)*1)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 373.97 times -0.1\nAnswer: -37.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5))**(4\/11))**(-8\/5) assuming t is positive.\nAnswer: t**(64\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1631271 (base 8) to base 7.\nAnswer: -4003220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(11625\/(-6975))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14*z**2 + 7*z + 6. Let y be t(-1). Let f = -84 - y. What is the hundreds digit of 34\/(-6)*(f + 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 13*a - 8. Calculate the remainder when i(5) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/2*(182\/21 + -2). Suppose -k = 4*t - p, 3*t = 3*k + t - 228. What is the highest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 409, 1637, 3691, 6577, 10301?\n\"Answer: d**3 + 407*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1866386 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4971156392.\nAnswer: 2, 59, 10532111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**5 + 20*s**4 + 2023*s**3 - 4375*s**2 + 12*s - 2 wrt s?\nAnswer: 120*s**2 + 480*s + 12138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4))**(5\/2)*(s**(-1\/8)\/s)\/s**(2\/7) assuming s is positive.\nAnswer: s**(-499\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 558 + 3265.15\nAnswer: 3823.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 3. Let x(j) = 4*j + 8. Calculate 11*p(d) - 4*x(d).\nAnswer: -5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7742 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.57968 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6847 and 1.01.\nAnswer: 6915.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.2309 grams in tonnes?\nAnswer: 0.0003972309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4068753, -4068761, -4068773, -4068789, -4068809, -4068833?\nAnswer: -4068861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87433783.\nAnswer: 87433783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107008830 by -45.\nAnswer: -2377974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2473284?\nAnswer: 2, 3, 11, 41, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87763149?\nAnswer: 3, 37, 59, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/7 - 517495*r**4\/7 - 1552494*r**3\/7.\nAnswer: r**3*(r - 517498)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**4 + 161632*x**3 - 323275*x**2 - 1131442*x - 646536 = 0.\nAnswer: -161634, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -33, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/21 + (-2)\/6. Let b = -1.94 + -0.06. What is the third biggest value in -0.4, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 21*h**2 - 44*h + 24. What is the smallest common multiple of 2 and y(-22)?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 712*b + 44. Let z(n) = 142*n + 9. Let v(a) = -2*t(a) + 11*z(a). Suppose 5*k - p = -2*p + 26, 4*k - 22 = -2*p. Is v(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*z**2 + 13*z**2 - 58*z**2 + 25*z**2 in the form j*z**2 + v + k*z and give j.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2. Let a be z(3). Suppose -17 = -r + 9*m - 10*m, -4*r = m - 71. Calculate the highest common factor of a and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 11 - 13\/(-4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9100250 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {x: 1, n: 1, l: 2, d: 2, p: 1, i: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3835860 divided by -182660?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8 + 6*h - 3*h - 6 + 4*h. Let w(q) = -5*q + 9. Calculate 5*a(j) + 8*w(j).\nAnswer: -5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068 times -0.22929?\nAnswer: -244.88172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c**2 + 8*c. Let r be ((-44)\/(-6))\/((-4)\/6). Let w(y) = -15*y**2 + 15*y. What is r*b(g) + 6*w(g)?\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28254\/217, 5, -4?\nAnswer: 28254\/217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236755381?\nAnswer: 163, 1452487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35044 or -39604?\nAnswer: -39604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*t**3 - 250*t**3 - 1424*t**3.\nAnswer: -1357*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682911357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209988062*t**3 + t**2 - 209988048*t**3 - t**2.\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(112\/182)*(-8)\/24*6?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrcrrrrrrrrrcrcrcr. Give prob of sequence rcrr.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00271402 rounded to 5 decimal places?\nAnswer: -0.00271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/10)\/((-4)\/(-60)). What is the lowest common multiple of h\/(-1) - 3 - 0\/(-3) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 113, 464, 1359, 3062, 5837?\n\"Answer: 44*g**3 + 8*g**2 + 19*g + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859*y = -866*y + 30940. Is 68 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 10*r - 4. Calculate p(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q + 4. Let p(k) = 3*k - 4. Let v = 3 - 8. Let h(u) = v*p(u) - 4*b(u). What is h(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*(898 - 454*n**2 - 898) as o*n**2 + b*n + k and give o.\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 2:32 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-4 + 6 - -33).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 1005 = 32*f + 22*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2396042*o**5*x - o**3*x**2 - 504*o**2*x**2 - 739*o**2*x + 2*o*x**2 - x**2 wrt o.\nAnswer: -143762520*o**2*x - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2529563992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let x(m) = -1121*m**2 - m - 4. Let w(b) = -224*b**2 - 1. Let r(d) = -11*w(d) + 2*x(d). Is r(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {s: 1, t: 1, h: 3, v: 1, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30227.\nAnswer: 167, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((f\/(f\/(f\/f**(-2))))\/f)*f*f))**(-14\/9)*(f\/(f\/f**(2\/5))*f)**37)**(-1\/7) assuming f is positive.\nAnswer: f**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + r - 1. Let q(i) = -72*i**2 + 3*i - 30. Give -2*o(h) + q(h).\nAnswer: -70*h**2 + h - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1436827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 369 = -p, -67 = 5*x + p - 680. What is the remainder when 1077 is divided by x?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/31, -1041048, -5, 4 in ascending order.\nAnswer: -1041048, -5, -2\/31, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5 - p**2 - 3 + 3*p**2 - 4. Calculate y(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - 6*n**2 + n**3 - 42*n + 11 - 14 + 38*n in the form a*n + w*n**2 + g + c*n**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -32. Let d(c) = -2*c**3 - 3*c**2 - 2*c - 2. Is d(o) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 31 = -3*w. Let m = w + 24. Let n = 1 + -1. Solve 4*k + m = 0, n = -c - 5*k - 4 - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 6*r**2 + 26*r - 32*r.\nAnswer: -r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -37*a**6\/30 - 409*a**2\/2 - 57*a. Differentiate q(w) wrt w.\nAnswer: -148*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minus -11038262?\nAnswer: 11038276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 7*g - 3. Let f be d(7). Let z be (f\/(-12))\/(3\/3). Which is the nearest to z? (a) -2 (b) -1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5634194540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 663*s**3 - 25*s**2 + 171*s - 20. Is l(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 101124*d - 2556515844.\nAnswer: -(d - 50562)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308) + -3*sqrt(308))\/sqrt(11))\/(-3*sqrt(256)) - (sqrt(448) + 0 + (sqrt(448) - 3*sqrt(448)) - (sqrt(448) + -2 + sqrt(448) + -4))**2.\nAnswer: -4068 + 3457*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - 4 - (5 + -11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6849830, 13699644, 20549458, 27399272?\nAnswer: 34249086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-780)\/(-23010) + (-56)\/(-5310)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/36 - 7\/9. What is the biggest value in 0, x, -0.2, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/12 + 8*h**3\/3 + 10*h**2 + 185*h + 12. Suppose -n + 0 = 3, 90 = -5*x - 5*n. What is l(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 404, 905, 1606, 2507, 3608, 4909?\nAnswer: 6410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*f + 2*r, -2*r = 4*f - r - 91. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -78?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 6. Let h(r) = -2*r**3 + 2*r + 4. Let f be h(-3). What is the remainder when 824\/f - 4\/(-26) is divided by t(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/((s\/(s**(-5\/2)\/s))\/s*s))*s**(-5\/3) assuming s is positive.\nAnswer: s**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3453 + 3890. What is the remainder when j is divided by 106?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 - -3. Let l = -18.5 - -14. Let o = l - k. Which is the second smallest value? (a) o (b) 2\/7 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -17. Suppose 0*b - 3*b - 12 = 0, -3*h - 5*b - 35 = 0. Let n be -2 + 1 - 4\/h. What is the closest to -1 in n, a, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4))**(-2\/39)\/((y\/(y\/y**(2\/23)))\/(y\/(y*y**14*y))) assuming y is positive.\nAnswer: y**(-13349\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 709 divide 11365082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*v + 30 = -2*q, -3*q - 2*v = -34. Suppose 0 = 2*u - u - q. Is (44\/6)\/(u\/105) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 15*s**3 - 15*s. Let y(h) = -h**3 - h. Give -k(f) + 15*y(f).\nAnswer: -30*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(396) + (sqrt(396) + 0 - sqrt(396))*3)**2*-6*6*-6.\nAnswer: -171072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1798 + -1022. Let m = v + -784.86. Let h = m + 9. Round h to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524396187 divided by -6?\nAnswer: 174798729\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0.2 (c) 39\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*w - 68*w + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2714 and 372945667?\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t = -16. Let f(w) = -3*w**2 - 9*w + t*w**2 - 10 - 2*w**2. What is the smallest common multiple of f(-7) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 2*w)*(-w + w + 2*w**2) + 2*w**3 + 3*w**3 + w**3 + ((1 + 0 + 2)*(-1 + 2 + 0) - 2 - 3 + 4)*(97 - 34*w**3 - 97).\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 4*q + 1. Let p be k(3). List the prime factors of -5 + p - (-32 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(50).\nAnswer: -10*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from uudhpej?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gusvuvvvv. Give prob of picking 2 g, 1 s, and 1 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0803216mg?\nAnswer: 0.0000803216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 2. Let v(b) = b + 2. Let f be v(-4). Let n be s(f). Suppose m - 159 = -n*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-820)\/(-1968))\/(4\/(160\/(-15)))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 23*j**2 + 41*j - 292. Determine g(22).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 (base 16) in base 3?\nAnswer: 1222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -74\/3*u**4 + 10 + 10952\/3*u**3 + 7*u**2 + 0*u + 1\/15*u**5. What is l in h(l) = 0?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261*n**4 + 261*n**4 + 29*n - 2*n**5 + 80*n**5 wrt n.\nAnswer: 1560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018658492 to five decimal places.\nAnswer: 0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = -6*h. List the prime factors of h\/(-6) - 57\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7768, -15893, -24014, -32131, -40244?\n\"Answer: 2*a**2 - 8131*a + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 38*c - 5*q = 16, 2*c - q = 1. Let s be 6 + (-2 + 2)\/c. Put 1, s, -3 in decreasing order.\nAnswer: s, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/27 (b) -1 (c) 3\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.76 - -4.645.\nAnswer: 5.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(-2*sqrt(242)))\/(-3*(sqrt(320) + (sqrt(320) - (sqrt(320) - (sqrt(320) + 4*sqrt(320)))) - sqrt(320))).\nAnswer: sqrt(7)\/2640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + (-1 + (-3 + sqrt(117))*-3)*5)**2.\nAnswer: -4050*sqrt(13) + 28350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2782 = -2*k + 4*c, 32*c - 29*c = -2*k + 2810. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 47, 72, 107, 146, 183, 212, 227?\n\"Answer: -g**3 + 11*g**2 - g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 1950707?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9719 + -9719. Let n(v) be the second derivative of 9\/2*v**2 + l - 17\/6*v**3 + 5*v. Let t(b) = -8*b + 4. Determine 4*n(r) - 9*t(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*p - 250 - 965 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5490*c = -5449*c - 861. Solve 81 = -30*i + c*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -89*j - 146. Let c be 1\/4 - (-26)\/(-8). Calculate the lowest common multiple of n(c) and 110.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.39 or -387484?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893421867.\nAnswer: 3, 13, 23, 996011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35468 times -7.587?\nAnswer: -269095.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -42395 divided by -17\nAnswer: 42395\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 36 = -4*a - 0*b, -4*a + 28 = -2*b. Factor 11*p - a*p - 9*p**2 + 3*p**3 + 0*p**3.\nAnswer: 3*p*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3133113 - -3?\nAnswer: 3133122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -415726 to the nearest ten thousand.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 513 = -5*a, 0*a - 4*j - 117 = a. Let d = a + 182. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (6 - 6) - (-10 - -19).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -2. Suppose 0*c = j*c - 450. Does 24 divide (-2)\/((-10)\/(-15)) + c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-4))\/(-150)*-3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 7*x**2 + 8*x + 4. Let q be y(-7). Let h = -25 - q. What is the remainder when h is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3482225 and 262675.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*k + 31*k - 30. Let a(p) = 2*p**2 + 25*p - 70. Let t be a(k). Let j(b) = 6*b**2 - 1. Let o(l) = 7*l**2 + l - 2. What is t*j(v) - 4*o(v)?\nAnswer: 2*v**2 - 4*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11029 + 11026. Put 3, 5, k, 24, -9 in ascending order.\nAnswer: -9, k, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1495187 and 13.\nAnswer: 1495200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 1. Let o(i) = -i**2 + i + 1. Suppose -3 = j - 1. Let f(x) = x**2 - 6*x. Let s(w) = j*o(w) - f(w). Let m be s(-4). What is b(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 0*a**3 - 9 + 0*a**4 - 27*a + 0*a**2 + 46\/5*a**5. Differentiate q(v) wrt v.\nAnswer: 184*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000132 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (105\/(-20))\/((-9)\/24). Suppose -f = -6*c - c. Factor 4*x**3 + 14*x**2 - c*x**2 - 4*x**2 + 0*x**3.\nAnswer: 4*x**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.3? (a) 5 (b) -5 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 12 + -13 - -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**6\/6 + 73*f**5\/4 + 125*f**4\/4 - 365*f**3\/6 - 185*f**2 + 5671*f. Find l, given that i(l) = 0.\nAnswer: -1, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 2}. What is prob of sequence vxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -34, -0.06, 1797, 3, -0.5 in decreasing order.\nAnswer: 1797, 3, 1\/3, -0.06, -0.5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 34957?\nAnswer: -34957.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1588 divided by 397?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3*u**2 + 5*u**2 - 3*u**2)*(-7 - u + 3 + 5).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1.63\nAnswer: 0.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-61)\/(27450\/(-216)))\/((-40)\/(-75)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141.5776 + 141. Let i = 0.57 + k. Round i to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 + 116. Suppose -8 = -2*v + 4. Let p be ((-20)\/v)\/1*-6. Calculate the greatest common divisor of z and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80309684?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*a**4*l - 4062701*a**3*l**2 - 53*a - 1822422*l**2 wrt a?\nAnswer: 432*a**2*l - 24376206*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/5 + 16*p**2\/5 + 52*p\/5 + 48\/5.\nAnswer: (p + 2)**2*(p + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1 - 3*m**2 + 6*m + 2*m**2 - 4*m**2 - m + m**3. Calculate w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*d + 85*d = 113*d - 3834 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -91353.\nAnswer: 45676.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(-3*(-1 + sqrt(147))*-5 + -2)*5)**2 + -2.\nAnswer: -89250*sqrt(3) + 834093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 5*r - 15 = 26*p, -3*p - 15 = 5*r. Are p and -1\/10007 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/154)\/((-1)\/(-112)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/963 and 79\/54.\nAnswer: 5778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -866 - -921.8. Let o = 140 - n. What is o rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**2\/2 + 3*g + 7. Let l(n) = n**2 + 4*n + 5. Let j(v) = -v. Let d(y) = -4*j(y) + l(y). Let a be d(-8). What is m(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73888.\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59737 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -240.62128068 to 3 decimal places.\nAnswer: -240.621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 4*y - 2*y)*(2 - 3 - 1) + 0 + 0 - 2*y + 179*y - 84*y + 3 + 24*y in the form w*y + v and give w.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21201 + 221000?\nAnswer: 122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2. Let d(l) = 14 + 0 + 10*l - 24*l + 11*l. What is n(d(p))?\nAnswer: -18*p**2 + 168*p - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-10) + 3\/45*-3. Suppose 0 = 2*j - 3*t - l*t - 85, 0 = 2*j + t - 81. Solve -3*k + q = -3*q + 32, 5*q - j = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24433 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 419 + 410 = -w, -4*w + k + 9 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-40)*8\/((-6)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 6273.04?\nAnswer: 31365.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2130 - -10?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 4:57 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**4 - 6*v**3 + 6*v + 13. Let s(o) = 2*o**4 - 7*o**3 + 7*o + 14. Let w(d) = 7*q(d) - 6*s(d). What is the derivative of w(u) wrt u?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y - 40. Let k be g(-15). Let r(i) = -2*i + 7. Let v be r(k). Which is the closest to 2\/7? (a) 0.19 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4807885 - 9216885. Round k to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*(0 - (-6)\/(-9))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) -0.8 (c) -0.92 (d) -14 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3538245 to the nearest integer?\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 + 3*g - 21 + g**2 - 9*g - 4*g. Let w be o(-5). Suppose 0 = -3*j + w*j - 169000. Round j to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 5*r**2 - 7*r + 9. Let b be h(6). Suppose y + 103 = 4*o + 36, -b*y - 75 = -5*o. List the prime factors of ((-1)\/(-3))\/(2\/o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3105 + 6?\nAnswer: 3114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53, 106, 171, 254, 361, 498, 671, 886?\n\"Answer: f**3 + 46*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -75 - 41. What is the remainder when x is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.77737 millennia in centuries?\nAnswer: 907.7737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5382535100 to the nearest 1000000.\nAnswer: -5383000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1622, -6504, -14646, -26048, -40710?\nAnswer: -58632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*b**4 + 270*b + 28932 wrt b.\nAnswer: -64*b**3 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/20)*z**(-19\/4) assuming z is positive.\nAnswer: z**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20847 + 51914. What is x rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -57*p**3 + 3*p + 2. Let o be u(-1). Let g = 42 - o. Let j(a) = a**3 + 5*a**2 + 2*a - 6. Let i be j(-5). Is i smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9568.44 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 16 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2203, -2089, -1959, -1807, -1627?\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8693 - 12470*s - 17385 + 8692 as l*s + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6255 + -6221. What is the highest common factor of i and 12682?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3*q + 7*q + 2)*(-4*q + 2*q + 5*q) + 3*q**2 - 5*q**2 - 2*q**2 to l*q + j + c*q**2 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 18 - 6. Suppose 2*v - 7*v = 3*j + 20, -4*v = 4*j + 16. Suppose j = p*b + b - 392. What is the remainder when b is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 121148 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -97, 3 in ascending order.\nAnswer: -97, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - g + 2 - g)*(17*g**2 + 2*g - 2*g) + 1017*g**3 + 785*g**3 - 1085 + 1085 in the form w + s*g**2 + a*g + l*g**3 and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z + 16. Let q be m(2). Let g(f) = -f - 8. Let j be g(-9). Is 1 + j - (-44 + q) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 42 = -31*r - 39 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35073 - 35072. Which is the closest to h? (a) -4 (b) 0.5 (c) -57.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101 * -1.66.\nAnswer: -167.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 42*i - 335. Determine g(9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 10) to base 6\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/(-4)*(12 + -21 + 11). What is the highest common factor of b and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 63*a**2 + 512*a + 11. Calculate t(-6).\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-214527)\/(-6652)*(-12)\/9?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(3 - 2)*(-10)\/20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Let g = 4 + o. Let m = 6\/59 - 119\/590. Sort m, 2, g in increasing order.\nAnswer: m, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 11. Calculate q(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/21)\/((-1)\/9*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 2*q + 145 + 39 as x*q + w and give w.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126234521 (base 7) to base 2.\nAnswer: 11111001000001111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -236, -235, -234?\n\"Answer: n - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(280)\/(sqrt(14)\/sqrt(2)))\/sqrt(8) - -2*(sqrt(5) - (sqrt(5) + (sqrt(5)*1 - sqrt(5)) + -2 + sqrt(5)))))**2 + 2.\nAnswer: -32*sqrt(5) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 15*p**3 + p - 1. Let m = -4 + 8. What is the remainder when s(1) is divided by m\/((5\/(-2))\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/900 and 151\/264.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + sqrt(17))**2 - (sqrt(17) + sqrt(1700)*-5)**2.\nAnswer: -40789 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-30)*n)\/n**11)**(3\/11) assuming n is positive.\nAnswer: n**(-114\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + n = 4, -3*n + 3 - 15 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/128?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/25 + 1\/150. Let v = 9 - 46\/5. Put v, -4, c in descending order.\nAnswer: c, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6735 + 7376 = -1054*p - 8903 - 44442 for p.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -1, 2, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - 4 + 4 - 2*s - s + 2*s**2 + s + (-2*s - 3 + 3)*(-3*s + 4*s + 0*s) + 0*s**2 + 3*s**2 - 4*s**2 + 2 - 2 + 2*s**2 + s**2 + 0*s**2 + s**2.\nAnswer: 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 (base 4) in base 5?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3799148 to the power of 1\/2, to the nearest integer?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 171*s + 2480. Let b be f(16). Let z(t) be the third derivative of b*t**3 + 0*t + 0 - 7*t**2 + 1\/6*t**4. Let m(x) = -x. Calculate z(m(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*c + 4*d - d, -d = -2. Suppose 6 = -t - 3*a, -4*t + 3*a + c = -10. Solve -4*z = -t*u - 19 - 9, -36 = 5*u - 4*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*-6 - (sqrt(33)\/sqrt(3) + 1) - 2*-1*sqrt(704).\nAnswer: -1 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3\/4 (b) 4 (c) 3 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2551 + 0.0449. Which is the closest to 2\/3? (a) -0.3 (b) 1 (c) o (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 9072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 times 991925?\nAnswer: -2876582.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29173 - 29172. Let d be (-5)\/(-6)*3\/10. What is the closest to 0 in u, 2\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-234)\/57 - 80\/(17 - 33)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*z + 416 = 0, -5*z - 49 = 2*k - 227. Find the common denominator of 1\/75 and k\/66*103\/(-18).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -5*v**3\/2 + 9*v**2\/2 + 2*v. Let l(j) = -8*j + 5. Let a(q) = -5*l(q) + 3*n(q). Differentiate a(z) wrt z.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 13. Let m = o + -6. Suppose 0 = m*b + 6 - 42. Let q(k) = -4*k**2 - 9*k - 13. Let l(i) = 2*i**2 + 4*i + 6. Determine b*l(d) + 4*q(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 2*z**4\/3 + 3*z**3\/2 - 5*z. What is the second derivative of m(x) wrt x?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9379650 is divided by 792.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbbqngbb. Give prob of sequence gg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -86. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*l - 46614 = -40664 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnwnxssnxxsxxssxxnxx. Give prob of sequence nsw.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698 is divided by 520.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) -5 (b) -48 (c) 0 (d) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*n = 3*n + 147, 0 = -4*n + 4. Is 18\/15*b\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 430 and -4?\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 8919300*p - 8919296.\nAnswer: -4*(p - 2229824)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/238 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 - 5*n**4 + 3*n**4)*(-2*n + 9*n - 38*n).\nAnswer: -31*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -315 divided by -5?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 5) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-48)*(-12)\/(-11)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 + -133?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 + 14*o**3 - 23 - 15*o**3 - 5*o - 5*o**2 - 4. Let y be g(-9). Let r be (-4)\/y - 35\/(-126)*134. Sort 2, -4, r.\nAnswer: -4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.38 - 0.27. Let r = -0.11023 + f. Round r to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-3) + (-4)\/2. Let h(x) = -x**2 + 5*x. Let c be h(z). Suppose 4*p - 3*y - 42 = 0, 0 = -p + c*y - y + 19. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m - 2. Let g(j) = -j + 6. Let k(q) = 4*q - 36. Let f(c) = 6*g(c) + k(c). Calculate o(f(d)).\nAnswer: -10*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/7 + 18*l**4\/7 + 20*l**3\/7 - 180*l**2\/7 - 18*l\/7 + 162\/7 = 0. What is l?\nAnswer: -3, -1, 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5684608 divided by 2842304\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/(10857\/22))\/((-2)\/30).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 10*x**2 - 4*x - 1. Let a be m(-9). Let g be a*((-6)\/(-4) + -2). Suppose 0*c = c - g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2 and 85\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 92\/5 (c) -0.5 (d) 3066\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -8*j**2. Let h be ((-15)\/(-10))\/((-6)\/(-4)). Let f(w) = -h + 2*w + 1 + 0*w. What is b(f(t))?\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -626424.369 - 1121559.\nAnswer: -1747983.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, t: 1, b: 1, e: 3}. Give prob of sequence je.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 40, 4, -1.\nAnswer: -39, -1, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -abb037 (base 12) to base 11\nAnswer: -15a9219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1445460 and -85.\nAnswer: -122864100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -54*o**2 + 94*o + 3. Let d(a) = 54*a**2 - 95*a - 2. Let k be 4*((-3)\/6 - 0). Let n(y) = k*m(y) - 3*d(y). Find the second derivative of n(v) wrt v.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13733210947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 + -125 - (-3 + -4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**2. Let w(s) = s + 10. Give m(w(j)).\nAnswer: -7*j**2 - 140*j - 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 divided by -3?\nAnswer: -286\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 41 - 8) + (22 - (-3 + (-2 - -5)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1949*f**3*u**2 - f*u**2 + 7*f*u + 44844*u**2 wrt f.\nAnswer: -5847*f**2*u**2 - u**2 + 7*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 2*j**2 + 9*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4\/4 + 2*w**3 - 5*w**2\/2 + 3*w + 1. Let m be 5\/(-7) - (-8)\/(-28) - -86. Suppose 2*c = -15*c + m. Give f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.26 * 11301.\nAnswer: -70744.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -16*a. Suppose 11*j - 13*j = -8. Let z(p) = 16*p. Determine j*z(c) + 3*i(c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -23*k + 4. Suppose 0 = 3*o - 31 + 10. Let b(y) = y**2 - 7*y - 5. Let f be b(o). Is i(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345066 to the power of 1\/2, to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800*p**3 + 47876*p - 12121 + 96597*p + 39613*p**2 + 91323 + 14727*p + 41183*p**2 + 2*p**4 = 0.\nAnswer: -199, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:23 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-135)\/(-6)) + 1\/15?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -963574992.5 to the nearest ten thousand.\nAnswer: -963570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1132\/8)\/(6\/1037844). Suppose 1128687 = 4*o - s. Suppose -2*x + 24401127 = -r + o, -r - 45000000 = -5*x. What is x rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 98.\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2. Let h(q) be the first derivative of -7 + 0*q + 0*q**2 - 1\/3*q**3. Calculate h(b(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00559548 to 5 dps.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 72, -1582, -5 in decreasing order.\nAnswer: 72, -3, -5, -1582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kix when three letters picked without replacement from {z: 3, b: 1, i: 1, k: 2, t: 4, x: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w - 1. Let y be k(-1). Let i be -1*(-3)\/y*-34. Calculate the greatest common factor of 68 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3693632, 3693639, 3693650, 3693665, 3693684, 3693707, 3693734?\n\"Answer: 2*n**2 + n + 3693629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8783718?\nAnswer: 2, 3, 1463953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 8*z - 1. Let l be w(8). Let t(n) = n + 11. Let f be t(14). Is (-2)\/l - (4 - f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.6 less than -11683279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -586, -1574, -2944, -4684, -6782, -9226, -12004, -15104?\n\"Answer: 2*q**3 - 203*q**2 - 393*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-4 - 1) + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 20)*(2 + 0 - 1 + 2 - 5 + 2 + (1 - 5 + 5)*(-2 + 3 + 1))*(4*m**2 + 2*m**2 - m**2) to the form d + r*m + k*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 1770488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p - 2*p - 3*p)*((-5 + 5 + 2)*(3 - 2 + 0) - 32 - 2 + 7)*(2*p + 3 - p + p).\nAnswer: -100*p**2 - 150*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 16) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-1))\/(4\/(-90)). Suppose 2*d - 4*d - 64 = 0. Let z = d - k. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4021*i + 12056. Calculate g(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 444116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/4 greater than or equal to 1101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 - (-205 + 58) - (2 - (0 - -81)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3\/5 - 34\/(-10) and 26\/403 - 2972\/(-62).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 3 + 27 + -2. Let i = 4 + -6. Let o(f) = -8*f - 11. Let r be o(i). Calculate the highest common factor of r and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -291.59999832 - -291.6. What is b rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuyqbqqquuyqtyqquqy. Give prob of picking 1 b and 1 t.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkt when four letters picked without replacement from {t: 2, k: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 64848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - (5 - 10)) + -1 - -1) + 67 + -15?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 21*b + 1. Let u(d) = 41*d + 2. Determine -14*k(r) + 6*u(r).\nAnswer: -48*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212608 is divided by 663.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6817.706072 to the nearest ten.\nAnswer: -6820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2745\/(-610))\/((6\/96)\/(1\/(-6))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {n: 1, x: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5742 and 89262?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*z - 36 = 0, d + 5*z = -4*d + 170. Suppose d*c - 2476 + 100 = 0. Suppose s = -s + 50. What is the remainder when c is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-28))**(-2\/163)\/(p**(-3\/4)*p)**(-1\/42) assuming p is positive.\nAnswer: p**(-9581\/27384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 5*a + 6. Let l be z(-5). What is the remainder when (l\/(-4))\/(18\/(-264)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3334643 (base 7) to base 16\nAnswer: 64a6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37210328?\nAnswer: 2, 4651291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**6\/15 + 4*l**5\/5 - 5*l**4\/3 - 8*l**3\/3 + 9*l**2 + 1019*l. Factor r(t).\nAnswer: 2*(t - 1)**2*(t + 1)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -41226*w**2. Let k(t) = -144*t**2. Calculate z(k(n)).\nAnswer: -854862336*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*j**2 - 16*j**2 + 2*j**3 + 12*j**2.\nAnswer: 2*j**3 - 91*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 71 - 58)*(4*k + 0*k - 2*k)*(0 + 2*k**3 + 0).\nAnswer: -556*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29577008, 59154020, 88731032, 118308044?\nAnswer: 147885056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 127, 322, 599, 964, 1423, 1982, 2647, 3424?\n\"Answer: a**3 + 35*a**2 + 83*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwqqwrqwgqqrqqqqqqr. Give prob of picking 2 r.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1528 times -0.065?\nAnswer: -0.009932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*z + 686 = 3189*z + 686 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -209, 2\/11, 0.8, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (2 - 40\/7). Which is the nearest to 0.1? (a) d (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164 + -58 + 41 + -79\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72308450 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-5))\/((-23)\/115) + -3. What is the biggest value in 101, p, 0.1?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1885 - 2147 = -4*m. Suppose -10*r + 17*r = m. Calculate the highest common factor of 60 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -987*c*v**2 + 76*v**2 - 6 wrt c?\nAnswer: -987*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -10*n + 100. Calculate the remainder when 15 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nckokbio. What is prob of picking 1 n and 2 o?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 - g**4 + 2*g**4)*(-5 - 1717*g + 6 - 1928*g - 2773*g).\nAnswer: 6418*g**5 - g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/4 + 61*z**3 + 11163*z**2\/2 + 2*z + 222. Factor m(p).\nAnswer: 3*(p + 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*c + 21, -5 + 7 = -c. Let g be ((-3 - -2) + 2)*d. List the prime factors of 2\/(-5) - 32\/g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50917946213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 9. Let w be ((-40)\/u)\/4 - 1. Let l = -0.5 - -0.1. Which is the nearest to w? (a) -1 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4290995.\nAnswer: 5, 23, 37313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, 4, -1 in increasing order.\nAnswer: -1, 4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419163674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 28*r**2 + 71*r - 295. Let l be f(30). Is l greater than or equal to 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/21)\/v*v*v**(-4\/3) assuming v is positive.\nAnswer: v**(-26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 8:47 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 5. Let d be q(0). Let h = d + -3. Let t = -6 + 6. What is the nearest to t in -3\/2, h, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1071 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43733406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (14 + 1)) + (-7 + -2 - 26)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 5*p - 11*p - 9*p in the form k*p + a and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + sqrt(88)*-3)*-5 + sqrt(88))*-2)\/(1*sqrt(8)*3*-4).\nAnswer: 11*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from acvcaaavacaac?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 20. Suppose -k*c + 2*v = 28 - 235, 0 = -4*c - 3*v + 184. Calculate the remainder when c is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a litre in millilitres?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -42, 0.2, -7, -4\/7 in descending order.\nAnswer: 0.2, -3\/8, -4\/7, -7, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 91. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(117) + -5*(1 + sqrt(117)) + 3 + -2)**2*1 + 2.\nAnswer: 192*sqrt(13) + 1938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*q - 4*k, q + k - 5 = 3*k. Suppose -165 = -q*z - 3*o, -3*z + o + 3*o = -70. Solve -z = -f + 7*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 11. Let h = k + 10. Suppose h*o - o + 5 = 0. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-216) + -2*(-3)\/(-12)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**5\/50 + 23*z**4\/30 - 127*z**3\/15 + 21*z**2 + 2*z - 1658. Factor i(f).\nAnswer: -2*(f - 15)*(f - 7)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14275.62 - 14032. Round d to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*y + 30, 0 = 4*k + y - 86 + 31. Suppose -37 = -4*o - k. Calculate the remainder when 33 is divided by (-68)\/o*(-9)\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 37 - 70546*t**3 - 28 + 23.\nAnswer: -70546*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 36526087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 14*a + 9. Let b(d) = d**2 - 14*d + 8. Let o(t) = -7*b(t) + 6*p(t). Calculate the lowest common multiple of 12 and o(12).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)\/(p*p**(-8)))\/((p**(3\/7)*p*p)\/p*p**8) assuming p is positive.\nAnswer: p**(-75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v - 2*r, 4*v = -4*r + 5 + 3. Let g be (-32)\/(-10) + (-1)\/v. Suppose -5*h = 3*w - 97, -g*h + 83 = h - 3*w. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1087 + 2965. Is 50 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 3*r - 5, 14 = 3*r - y. Solve -17 = l - r*c, l + 2*c - 2 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(1\/11)*u\/u**18*u assuming u is positive.\nAnswer: u**(-166\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*f + 6*f + 51, 39 = -3*f + 3*r. Let h = -7 - f. Let w(o) = -o**3 + o**2 + 2*o + 3. Calculate the lowest common multiple of w(2) and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3\/4 + 30*t**2 + 1473*t\/4 + 675\/2 = 0.\nAnswer: -9, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -0.11, 0, 0.4 in descending order.\nAnswer: 0.4, 0, -0.11, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(152) - 2*sqrt(152)) + sqrt(152))\/sqrt(8).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 17971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11941.18821 nanoseconds?\nAnswer: 0.000000000019744028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 3*k + 1. Let c(d) = 1 + d + 2 - 2. Let m = -3688 - -3689. Let a = 0 + 3. Determine a*c(p) + m*n(p).\nAnswer: -p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/12*8\/(-6). Solve -3*p = z*p + l - 3, 4*p = 2*l - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334 + 2440?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 6*i + 5. Let p be a(-5). Suppose 3*f + 3543 = 3*t, p = 4*t + f - 2415 - 2304. Let g be (40\/4)\/(2\/t). Round g to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101384 divided by 551?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2107, 8438, 19031, 33928, 53171, 76802?\nAnswer: 104863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*c + 16 = c, 0 = 2*i + 4*c - 16. Solve -1 = 5*v + 3*q, v + i*v = q + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*j - 866 = -352. Let l(v) = v**3 + 4*v**2 + 2. Let q be l(-4). Suppose -q*g - 3*y = 5, -2*g + 2*y = -6*g + 10. Sort g, j, 4 in descending order.\nAnswer: g, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1476 or 1477?\nAnswer: 1477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17.137*-225\nAnswer: -3855.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/90 and 41\/102?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 88 = -5*a, 36 - 76 = -3*a + 2*u. Suppose 0*m + 2*m = -s + 180, 0 = 3*m - s - 260. What is the highest common divisor of m and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6045 (base 9) to base 14.\nAnswer: -1875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/17))\/h**3*(h**(-2\/9)*h)**(4\/37) assuming h is positive.\nAnswer: h**(-11512\/5661)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 729*x**2 - 4*x - 5. Let o(i) = -146*i**2 + i + 1. Let h(l) = -2*n(l) - 11*o(l). Is 25 a factor of h(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/5, -1\/4.\nAnswer: -1\/4, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 - -111. Let v(g) = -2*g + 2. Let i be v(u). Solve z = -z - i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 + -2.300002. What is x rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 49. Let b(j) = -6*j - 97. Let c(x) = -2*b(x) - 5*l(x). Let p(m) = -2*m**2. Calculate c(p(t)).\nAnswer: 6*t**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33329 is divided by 165?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 3*o**2 - o**2 - 19 as n*o**2 + m*o + y and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 2)*((4*u + u - 3*u)*(2 - 4 + 0) + 347 + 54*u - 347) as v + c*u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54986 is divided by 5891?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-15))\/(1\/(-21)). Suppose 2*p - 2*l + r*l = 33, -5*l + 71 = 4*p. Let a = -6 + p. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 187, 236, 317, 430, 575, 752?\n\"Answer: 16*b**2 + b + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/603 and 93\/176612?\nAnswer: 1589508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2007865634 from -167354.\nAnswer: -2008032988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -948*i - 28207 - 1181 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwr when three letters picked without replacement from eeeeeepeeprrpweeeee?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 988 + -752. What is the remainder when h is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*a - 128, 91*a - 2*p = 94*a - 189. Calculate the remainder when 19395 is divided by a.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616992347 to the power of 1\/2, to the nearest integer?\nAnswer: 24839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1251*d - 6192. Let u be g(5). What is the highest common factor of 1773 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882615497 to the power of 1\/2, to the nearest integer?\nAnswer: 43389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i + 2*i + 5*i + (2*i + 0*i - i)*(1 - 1 - 1) + 0 + 0 - 3*i + (-164*i - 25*i - 118*i)*(1 - 4 + 2).\nAnswer: 305*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 2, 3.9, 4.8543?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11131 + -2?\nAnswer: 11123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11072 = -2*r - 4*a, a + 3106 = -4*r + 25243. What are the prime factors of r?\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Suppose 0 = -f*t - 5*b + 10, 2*t + b - 2 = -t. Solve t = 2*p - 4*i + 14, -p + 5*i = i + 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2517095*d**6 - d**2 + 13*d - 123082.\nAnswer: 302051400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**3 + 7*s**2 - 21*s - 7. Let d(t) = 4*t**3 + 6*t**2 - 21*t - 6. Determine -7*d(y) + 6*l(y).\nAnswer: 2*y**3 + 21*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -312 + 354 + (-21 - -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 970079427 to the nearest one hundred thousand.\nAnswer: 970100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.2 (b) -2\/5 (c) -1\/7 (d) 656\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 + -1120233?\nAnswer: -1120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 28*f - 48. Is 11 a factor of w(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**3 + 1424*g**2 + 117*g + 32.\nAnswer: 30*g + 2848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30000001)\/5 + 3\/15. What is i rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6353 and 1366029\/215 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((20 - 1) + (93 - 120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/1 + (-312)\/60.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -19*p**2 + 93*p + 15. Let i(y) = 3*y**2 - 5*y - 2. What is -6*i(m) - n(m)?\nAnswer: m**2 - 63*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -504 - -590. Is -5 - f\/(-18) - 2738\/(-9) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -561*h + 557*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -398\/583125 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 19*f - 60. Let s(a) = -58*a + 210. Let p(q) = 7*j(q) + 2*s(q). Let r(h) = -23*h**2. What is p(r(i))?\nAnswer: -391*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*q + 118 + 1 = 0, -3*k + 359 = 4*q. What is the remainder when k is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -530 + 4?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10702\/1937 - -72\/13. Let a = 4458 + -4458. Which is bigger: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 79\/(-10) - (-2)\/2. Let s = g - -7. Is 1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, w: 7, f: 2, u: 3, r: 1}. What is prob of picking 1 w, 1 u, and 2 g?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 464 - 257. Let y = o + -208. Let h = -18.8 - -19. What is the closest to y in 4, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**2 - x. Calculate r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a + 65 = -5*f + 24*a, -9*a + 5*a + 10 = -2*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 8. Let j = x + 16. Calculate the greatest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7336*n + 130640 = -4070*n for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/f**(-5))\/(f\/(f\/(f\/f**(-1\/4)*f)))**(-10) assuming f is positive.\nAnswer: f**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/26 and -137\/450.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 17*r + 120. Let h = 29 + r. What is the least common multiple of 9 and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1684 + -0.1506670754.\nAnswer: -1684.1506670754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1136 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 0*n - 98 = 26*x - 12, 7*n - 10*n = -4*x - 86 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + h + 21 = 0, -2*x - 6*h = 197630 - 197444 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**6\/720 - 373*u**5\/24 + 3478225*u**4\/48 - 6486889625*u**3\/36 - u**2 + 113*u - 2. Suppose h(n) = 0. Calculate n.\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2 + 20250*o - 40488 = 0. What is o?\nAnswer: 2, 6748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4*u**2 + 409*o**4*u + 62*o**2*u**2 - 3*o**2*u - o*u**2 wrt o?\nAnswer: -24*o*u**2 + 9816*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3492294882 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/14)\/o*o**(-1\/17)*(o*o*o**43)\/(o\/(o\/(o**29\/o))))**36 assuming o is positive.\nAnswer: o**(67374\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**3\/3 + 5*j**2\/2 - 4*j + 67. Let x = 10 - 5. Calculate l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbfbbjmmbfbmbbbbfb. What is prob of sequence fbjm?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 9:22 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 53\/2. Let k = -1.3 + 0.3. Which is the nearest to v? (a) k (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 10, -2*p + 5*o + 2 = 0. Suppose -3*b + 9 = p. Is ((-34)\/2*b)\/(19\/(-76)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15*304\/336*(-21)\/(-36) and (-22)\/4 - 2\/(-7).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.050046 centuries in months?\nAnswer: 4860.0552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/45)\/r**(-2\/3)*(r\/(r**0\/r)*r)**(2\/57) assuming r is positive.\nAnswer: r**(698\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o = -3*i, 3*i + 8 = 5*o. Suppose 2*g = o*g. Solve 8 = 2*p - g*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*m*o**3 - 2*m + 265*o**3 - 30 wrt o.\nAnswer: -12*m*o**2 + 795*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjnknxinnnnnznxnnk. What is prob of picking 2 k?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 977 - -606. Let l = -1582.059 + k. Round l to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -36, 2, -2, 28.\nAnswer: -36, -2, 0, 1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -574220.3 and -48?\nAnswer: 27562574.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -43*n**3 + 2*n**2 + 82*n - 9. Is h(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163 divided by 1075582\nAnswer: 163\/1075582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - (164\/18 - 3). Let y = a - -35\/6. Let v = -3 - -2.5. What is the nearest to -2\/5 in y, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**2 - 14*c - 26. What is the remainder when 40 is divided by v(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12778658 and 3206?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -26*f + 15. Let s(v) = 9 + 12 - 12*v + 41*v - 68*v. Let t(c) = 7*o(c) - 5*s(c). Let b(l) = -8*l. Give t(b(x)).\nAnswer: -104*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*v - 6. Let b be 20\/(-30)*(-18)\/v. Let a = 0 - b. Solve a - 4 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -109*c + 2. Let a be l(2). Let q = 8197\/2 + -3919. Let y = a + q. Calculate the common denominator of y and 37\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 71.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*-1 + -1*sqrt(9)*-3)\/((sqrt(30)*-2)\/sqrt(10) - sqrt(9)\/(sqrt(3)*-3)).\nAnswer: 9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*h**3 + 31542*h**2 + 17988*h + 2568 = 0 for h.\nAnswer: -214, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in -9, 4, 0.1, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 18, -52662\/11?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by (10 - (-1044)\/(-30))\/((-2)\/5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642486 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsjiezt. Give prob of sequence ti.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 6:29 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.9*0.2.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 1:35 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*b**3*l**3 + 754*b**3*l**2 - 291*b**2*l**2 + 11*b*l**3 - 7*l**3 wrt l.\nAnswer: -264*b**3 + 66*b - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.1. Let f(v) = v**2 - 5*v - 8. Let o be f(6). Which is the nearest to j? (a) -0.3 (b) o (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(22\/(-18)))\/(132\/(-8)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 72385?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1595306 divided by -197?\nAnswer: 8098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008931 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -6. Let y(a) = 3*a - 4. Calculate y(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -2\/9, 1149, 68\/257?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/5, -1\/4, 5\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1634)\/6)\/((-4)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + -12 + -1 + -18 - -19.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -174582 and -174582 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 - -80. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*n**(-6)\/n)\/(n*n\/(n*n\/(n*(n*n**6\/n)\/n)*n*n)*n**(4\/5)\/n*n) assuming n is positive.\nAnswer: n**(-113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 3 (c) -6 (d) 2\/5 (e) -17.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 147*-9185894\nAnswer: -1350326418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -213 - -482. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 153*j**3 + 115 + 33*j**3 - 57.\nAnswer: 186*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*z - 209*z - 1535*z + 86088 for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -8, 0, 5 in ascending order.\nAnswer: -8, -3, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**2\/2 - 9*d + 2. Give i(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91*3815608.\nAnswer: -347220328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24792 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -839*w**5 - w + 2618.\nAnswer: -16780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-10)*15\/(-2). Let y be 7487*(10\/p)\/5. Let w = y + -831. What is the third smallest value in 5\/3, w, -4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310791 + z - 310791.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3425, 1192, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 68*40\/(-160).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 36350*o**2 + 66066125*o.\nAnswer: 5*o*(o + 3635)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w - 5. Let z be o(6). Suppose -47*i = -z*i + 10. Solve -4*d = 4*j + 14 + 2, -3*j = -i*d - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31666009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + 1452\/(-108) + 11?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3182 - -3181. Which is the biggest value? (a) j (b) 4 (c) -2\/3 (d) 1\/4 (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2277051?\nAnswer: 3, 7, 29, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 11) to base 10\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -6. Let a be 6 + (-3 - -3) - 2. Let s be a\/l + 67902\/(-7). Round s to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q + 32. Let r(x) = 42*x - 225. Let i(f) = -2*r(f) - 15*v(f). List the prime factors of i(14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*o**4 - 64\/3*o**2 + 0 - 7\/9*o**3 - 76*o.\nAnswer: o*(o - 19)*(o + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {e: 2, h: 2, p: 1, k: 1, s: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 290 and 682253.179034.\nAnswer: 682543.179034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -499 by 1.\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1184)\/48)\/37*(-27)\/(-8))\/(3\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490 + 10811 = 97*k + 901*k - 8641 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q + 29. Let s(m) = -m - 10. Suppose 0 = 5*h + 3 - 23. Let i(p) = h*w(p) + 11*s(p). Is i(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 126 + -2?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 393308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 1, 16*c + 5*m = 11*c + 65. Solve d - 13 + c = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = u - 1620, -4*u + 4*q = -2974 - 3482. Suppose 3*n - u = -538. Let k = n - 239. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**5\/5 + 47*a**4\/12 + a**3\/6 + 618*a**2 - 13*a - 10. Find the second derivative of r(o) wrt o.\nAnswer: -24*o + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/8)\/(1\/(-8)*2). Suppose -11 = -3*s - q, b*s = q + 2 - 3. Suppose 0 + s = f. Solve -4*h = 5*a - 27, 3*h = 5*a + f*h - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 2)*(34*o + 29*o + 34*o)*(1 - 1 + o).\nAnswer: 485*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 186 + -191. Let l be (132\/(-28) - w) + (-66)\/(-14). Solve 5*u - 30 = -l*c, -5*c + 15 = -u + 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2141559 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2 (b) -1\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 13 = 5*w, -v + 5*w - 19 = -0*v. Let i be ((-1226)\/3)\/(34\/v). Let q = i - -72. Is q at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-832)\/(-182))\/16)\/((-10)\/(-7))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*n + 3*n + 34317*n**3 - n**4 - 34309*n**3 - 2*n**2 wrt n?\nAnswer: -24*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 4*i + 5*b, -2904*b + 2918*b - 33 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.136137 less than -2168?\nAnswer: -2168.136137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 7*k + 5. Let r be (-6)\/(-14) - (-3)\/(-7). Let c = r - 0. Suppose 8*x - 6*x - 12 = c. Give z(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 201212?\nAnswer: 201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + k - 7 = 8, 2*g - 6 = -2*k. Suppose -g*q - 5*a + 64 = 0, 0 = -3*q + 3*a - 25 + 73. What is the lowest common multiple of q and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x - 4*x**2 - 2 - 4*x**2 + 9*x**2. List the prime factors of g(16).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -25*b + 12. Let g be l(8). Let o = -106 - g. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 459*k + 416 - 328*k + 34 + 508*k with respect to k.\nAnswer: 639","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6394030 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/608 and 25\/9424.\nAnswer: 18848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 6*g**2 + 6*g - 3. What are the prime factors of i(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 262 - 194. Suppose -c - 76 = -2*o. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:47 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/30 + 1)*1005\/(-670)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*677.85.\nAnswer: -203.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 4*g + 6 - g**2 - 3*g - 4 in the form w*g**4 + b*g + o + n*g**2 + u*g**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22116, 44187, 66258, 88329?\nAnswer: 110400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/6 + 4*w. Let s(d) = d + 3. Let x(q) = -80*q - 264. Let m(g) = -176*s(g) - 2*x(g). Determine n(m(y)).\nAnswer: 512*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2673 + -2670. Suppose 4*l + 3*t - 6 = 11, -1 = -l - 4*t. Suppose l*d - 10 = 3*d. Solve q*x - 4 = -m, -3*x - 2*x = -d*m + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.25201 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**2*q)\/q**(-1\/5))\/((q\/q**(-2\/15))\/q**(1\/4)))**(-12) assuming q is positive.\nAnswer: q**(-199\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + -52 + 123 + -21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*x - 37. Put -3, -1\/2, x in increasing order.\nAnswer: x, -3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 6. Let n(r) = -5. Calculate -5*g(j) + 6*n(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 314065066 - -1?\nAnswer: 314065067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 29414 = -18126. Suppose -4*a + 35857 = n. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 588986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11214 take away 17.94?\nAnswer: 11196.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 344110455?\nAnswer: 344110452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 0*c = 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/7*x**2 + 76\/7 - 110\/7*x = 0 for x.\nAnswer: -19, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 27. Let n be o(9). Let p be (-1656)\/n + (-2)\/7. Let r be 1 + 547998\/(-4) + (-39)\/p. Round r to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**3\/2 + 2*c - 39. Let j(l) = -8*l**2 + 6*l - 2. Let d(k) = 7*k**2 - 4*k + 2. Let a(t) = 3*d(t) + 2*j(t). Give n(a(p)).\nAnswer: 15*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**6\/6 - l**2 - 7*l - 3. Let o(i) be the first derivative of k(i). What is the first derivative of o(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1285 - -1952. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*z - 4*r, 58 - 8 = -5*z - 2*r. Let a be ((-12)\/(-10))\/((-2)\/z). Solve -5 = -3*g - v, 5*v - 1 = -a*g + 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/5*(-740)\/16)\/(-32*120\/5120).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-806)\/(-4) - (-2)\/4. Suppose 7*t + 1698 - 5905 = 0. Suppose -t = -3*d - m. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380227881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102522633 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/20 and -143\/32429478.\nAnswer: 324294780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 + 338*q - 3146. Give v(9).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197.041 - -197.441. Let i = -0.8 + 0.3. What is the second biggest value in 3\/2, t, i, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24177019721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -652 - -241093?\nAnswer: 240441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4*sqrt(2400))\/sqrt(8) + -3 + sqrt(12) + (sqrt(300)*1)**2).\nAnswer: -114*sqrt(3) + 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2211?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11122939457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -6*u - 8. Suppose -u*m = 5*m - 91. Let q(z) = z**3 + 9 + 4*z**2 - 5 - m*z + 17*z. What is q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 12 - (-6 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -150\/1433473 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 29096?\nAnswer: 203672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -9*u**5 - 42*u**4 - 69*u**3 - 48*u**2 - 12*u = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3387*l - 433541. What is d(-128)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9890 - -9889.32984. Let b = -17.17099 - t. Let v = 16.5 + b. What is v rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1080 and 28670040.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 343 + -262. Calculate the lowest common multiple of 54 and b.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eje when three letters picked without replacement from {j: 4, r: 3, z: 1, e: 10}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 + 0*f**2 + 2*f + 0*f)*(38*f + 38387 - 38387) as g + s*f**2 + t*f + o*f**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -5*h**4\/8 + 2*h**3 - 3*h**2 - 1. Let m(j) = -2*j**2. What is m(x(u))?\nAnswer: -450*u**2 + 720*u - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110 + -1110110011000010010?\nAnswer: -1110110010111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*q - 17 + 52, -5*q + 31 = 4*a. Suppose 6*w = 8*w - a. Calculate the lowest common multiple of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011101111 (base 2) to base 8\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19225 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.67 minus 0.5?\nAnswer: 24.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.114 * -2.\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-130)\/13)\/50)\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106100 and 3223300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 493377 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l**2 - 4*l + 8. Let b(n) = -26*n**2 + 9*n - 18. Let r(k) = -3*b(k) - 7*t(k). Determine r(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379 divided by 6778.\nAnswer: -379\/6778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 4*b**2 - 315*b + 1608*b + 502*b.\nAnswer: -4*b**2 + 1795*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494234756.\nAnswer: 2, 1277, 96757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -117 and -1.6.\nAnswer: 187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 18 = 13*f. Solve -3*z + 2*d = f*d, 16 = -5*z + 2*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/3, 1\/25, 4\/7, -4\/5, -3, 0.3 in ascending order.\nAnswer: -3, -4\/5, 1\/25, 0.3, 4\/7, 17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 530 + -22?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*r - 16914 = 68*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134022 > -133966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a4 + 3?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/6)\/(952\/408). Factor -u - 1\/2*b**2 + b.\nAnswer: -(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 - -240. Calculate the remainder when 123 is divided by m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 11:09 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/36)\/16*(3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, p: 2, t: 7}. Give prob of sequence pttz.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 42 = 54. What is the smallest common multiple of 22 and t?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*s = -4*p + 347, s = -2*p + 233. Suppose 5*u - 562 = -5*t - p, 0 = 4*t - 3*u - 342. Suppose -t + 18 = -3*c. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 18840 = -16*q. Let o(z) = 4710 - z - q. Let y(d) = 7*d**2. Determine o(y(l)).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1*s)\/s)**39\/((s*(s**(-3\/7)*s)\/s)\/(s*s*(s\/(s*s\/(s\/(s\/s**(-7))*s)*s))\/s)))\/(((s**(-2)*s)\/s*s)\/(s*s**(1\/3)))**36 assuming s is positive.\nAnswer: s**(808\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.27 + -0.17. What is the smallest value in -2\/7, j, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 2*x**2 + 2. Let w(b) = b - 8. Let f be w(11). Suppose -f*k + 5 = -4*k. Let z(p) = 3*p**3 + 4*p**2 + 5. Calculate k*h(j) + 2*z(j).\nAnswer: j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -10*v**4 + v**3\/3 + 3*v**2 - 4*v - 5223. Let z(w) = 119*w**3 - 3*w**2 - 17*w + 11. Calculate 17*q(i) + 6*z(i).\nAnswer: 34*i**3 - i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -6) + -11 + (-4 - 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00769762563 to five dps.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-6)\/(-9)*(7611\/6 + -13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -226 - -243. Let c(u) = u**2 - 15*u - 14. What is c(g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3\/7)*u)\/(u**4\/u))**(8\/7) assuming u is positive.\nAnswer: u**(-32\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25278287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51778a + -7?\nAnswer: -517796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*h + 6220, -4*h - 2723 = -5*j + 5049. Is 74 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 23*n - 391. Let l be u(17). Determine k, given that 2\/3*k**3 - 4\/3*k**2 + l + 2\/3*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87440 (base 12) in base 7?\nAnswer: 1342503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2991 and 23928?\nAnswer: 23928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3 + 52477*s**2 - 104951*s + 52475 = 0. What is s?\nAnswer: 1, 52475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1643*q**2 + 0 + 1872*q**2)*(3*q**2 + q - q) to the form a*q**3 + h + f*q**4 + g*q**2 + m*q and give f.\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*i**3*j + 131774249*i**3 - i**2 - 2*i*j - 183618*j wrt j.\nAnswer: -4*i**3 - 2*i - 183618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 102\/27 - 2\/(-9). Suppose -21 = -x*n + 7*n. Suppose -4*k - 45 = 5*f, -2*k - 75 = -f - 56. Are k and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -14 (b) 2 (c) -0.3 (d) 0 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(121)\/(6*sqrt(11)*2).\nAnswer: sqrt(11)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -844636 and 0.032.\nAnswer: -27028.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (24\/96 + -16)\/(2\/(-264))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1135.22 - 1135.319999. Let b = 10 + -10.1. Let h = b - t. Round h to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-1 - (12 + (-9 - 4))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4, x: 2, w: 1, h: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 38979.\nAnswer: 1\/38979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, k: 2, p: 4}. Give prob of sequence kk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccckcckcckcccckcck. What is prob of sequence kck?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 5014.\nAnswer: 3\/2507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 10*x - 12. What is k(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 169949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 596079547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 = -2*l - 0*g, 2*g + 7 = -l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 c, and 1 e when four letters picked without replacement from cydddycydccfeyy.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(80)*1).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3440 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*a + 180. Let d be ((-8)\/(-24))\/(1\/a). Is (5\/d)\/(3\/657) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 18*i + 38. Let s be x(16). Suppose 0 = 9*u + s*u - 660. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7448, -1, 4, 3.\nAnswer: -3, -1, 3, 4, 7448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from impobop. What is prob of picking 1 p and 1 o?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320 (base 4) in base 11?\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/60 + 7*g**5\/15 + 11*g**4\/8 + 29*g**3\/6 + 2318*g**2. What is n(-13)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 6. Let w be (-1)\/1*q - -95. Suppose 0*l + w = 3*l. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let d(s) = 32*s**3 - s. Let j be d(-1). Let h = 26 + j. Which is the closest to p? (a) -2\/9 (b) h (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -27. Let j(i) = i**3 + 28*i**2 + 51*i + 7. Let u be j(-26). Calculate the highest common factor of u and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -67. Let j(p) = -p**3 + 53*p**2 - 302*p + 1390. Let d be j(47). Calculate the highest common divisor of d and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, e: 5, d: 8}. Give prob of picking 4 y.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503520?\nAnswer: 2, 3, 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2803 divided by -4\nAnswer: 2803\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 27\/3*3\/27*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - 1.8. Let m = -2.9 - r. Sort m, 2\/13, -0.3 in descending order.\nAnswer: 2\/13, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + d + 254 - 251, 4*d - 3 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -57076.5 rounded to the nearest 100?\nAnswer: -57100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8224148 and 78184?\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 11. Let t(w) = 7*w**2 - 5*w. Let f(h) = 4*h**2 - 3*h. Let p(l) = m*t(l) + 5*f(l). Let y(i) = 4*i - 4*i - 4*i**2 + 0*i**2. Give p(y(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1 - 2 + 4*z - z + 7*z**2. Suppose 0 = 3*v + 2*u, 2*v = -3*u + u - 2. Is l(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -161*u - 1. Let s be g(-1). Let z be 5 - -6*14\/(-12). Is z + (-2 - -1) + s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-1))\/((-56)\/(-42))*(-12)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*8\/80*(-90)\/(-135))\/((-24)\/5)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4960, 10044, 15128?\nAnswer: 20212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/4670 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 10:53 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27685.608 months in centuries?\nAnswer: 23.07134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -700 - -1351\/2. Let p = o + 24. Which is smaller: -2\/3 or p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -72 - -296c3?\nAnswer: 29651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 3079*k + 11262*k - 30 + 61.\nAnswer: 8183*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-2)*u*u*((u\/(u*(u*u\/u**(-4\/7)*u*u)\/u)*u)\/u)\/u*u**(-2\/25) assuming u is positive.\nAnswer: u**(-114\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3848 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-148)\/(-8))\/(1\/22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2306*n + 269. Is j(27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50*(-1 - 0)*-1 + -3. Suppose -4*b - 5*o + 0*o = -131, -3*b + 98 = 4*o. Let x = b - c. Do x and -13 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnpw when four letters picked without replacement from pnppwpwwwwowwpowppwp?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*p = -191*p + 120. What is the closest to 0 in p, 0.02, -43?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6222000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 195 - 186 = -8*m, 2*m + 9 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 30106080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 758805708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 254*k**3*l**2 + 3*k**3 + 2*k**2*l**2 + 2*k*l - 2*k - 1003*l**2 wrt k?\nAnswer: 1524*k*l**2 + 18*k + 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-8))\/((-1)\/(-6)). Suppose -p*y + 12 = -0*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, d: 9, c: 4}. Give prob of picking 2 d, 1 c, and 1 z.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1613804*h - 1613804*h + 7*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.11 or -974?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/23529 and 173\/9108?\nAnswer: 282348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52*u**3*v - 2*u**3 + 5*u + 85*v - 65 wrt v?\nAnswer: -52*u**3 + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l - 2*l**2 + 2*l + 3*l**2)*(15 + 7 - 31)*(-2 - 1 + 4) as k*l**2 + q + c*l and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 46*y**2 + 42*y + 136. Let j be x(45). Let r(c) = -c**2 + c + 1. Let l(v) = -14*v**2 + 5*v + 5. What is j*l(f) - 6*r(f)?\nAnswer: -8*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3898*f**6 + 2*f**5 + 1194*f**2 - 1.\nAnswer: -467760*f**3 + 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 78664.\nAnswer: 629312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 288 = 3*d, 0*d - 4*h + 196 = -2*d. Let q = d - -98. Calculate the least common multiple of (-16)\/6*(-9)\/2 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38245436041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h - 5. Let j(o) = o**2 - 2*o - 12. Let x be j(5). Let c be a(x). Let l = 6 + c. Calculate the remainder when 16 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2027\/4038 - 4\/2019. What is the third smallest value in t, -1\/7, -0.2, -51?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6643459 - 6643459 + 443*f**3.\nAnswer: 443*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3 + 80*f**2 + 1064*f + 4704 = 0.\nAnswer: -14, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and 153.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**3 + 3*s**3 + 0*s**3 + (-14 - 9*s**2 + 14)*(0*s + 0*s + 2*s) - 2*s**3 - 2*s**3 + 3*s**3.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1379928*a**4 + 244*a**2 - 1171*a - 1?\nAnswer: 33118272*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/4606 and -89\/140?\nAnswer: 46060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -6. Let k = 84 + 93. What is the remainder when (10\/(-6) - h)*k is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**4*u - 14*j**3*u - 13795*j**3 + 13749*j**2*u + 2*j*u - j - 2*u + 1 wrt j?\nAnswer: 48*j*u - 84*u - 82770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*n**3 + 26421*n**2.\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*j**2 - 11*j**2 + 16*j**2 + 0*j + 0*j - 2*j**2 - j - 2*j**2 + j + (2*j - 4 + 4)*(-2*j + j + 0*j) + (-1 + 1 + j)*(0*j + 3*j + 0 - 1).\nAnswer: 23*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 6*z - 4. Let u be t(-7). Suppose 2*h = -u*h. Suppose h = -3*v - o + 11, 0*o + 8 = v - 4*o. Solve -a - 25 = v*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.62 < 3\/92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 665919744 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.8 + -15. What is o rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-5*(sqrt(60) - sqrt(240)))\/(1*1*sqrt(588))*-2)**2.\nAnswer: 2000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 + 10123*f + 853230 = 0. Calculate f.\nAnswer: -10038, -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20215 greater than 20220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69594.6 millimeters to centimeters.\nAnswer: 6959.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001141 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*j + 3, -2*b = 5*j + 5 - 1. Solve 2*q + 16\/7*q**4 - 8\/7*q**b - 6\/7*q**5 - 4\/7 - 12\/7*q**2 = 0 for q.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/233961 or -1?\nAnswer: 1\/233961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**4\/4 + 20*s**3\/3 + 11*s**2\/2 - 67*s + 102. Is 11 a factor of l(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 66. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 5:10 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -47869 * 5.8\nAnswer: -277640.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -5 - (1 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86274 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4746743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + g + 3 = -o, -2*g = 4*o - 12. Let i(b) = 15*b - 6. What is the tens digit of i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 124\/10 - (-3)\/5. Let d be (-2 + y + -2)*7. Calculate the highest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*k + 23 = 12, -3*k - 14 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 0*c + 3, 3*x + 58*c - 62*c = 8*x + 38 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 15. Let y(a) = a**2 + 8*a - 5. Let s be y(-8). Let x be m(s). Suppose x = -5*j - 3*p - p + 323, 9 = -3*p. What is j rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p. Suppose 3*c = 5*c - 16. Let y be m(c). Solve y = -2*v + 2*h, -3*v - 2*h + 2 = 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.138 - 8.562. Let i = 44.8 - l. Round i to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -32\/5, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/3 - (-45)\/27\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.078, -10, -2, 0, -12991 in increasing order.\nAnswer: -12991, -10, -2, 0, 0.078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467 (base 9) in base 10?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1 + 5 = 0, 121*q + 129*q + 2*p - 17 = 251*q - 2*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -437188\/247 + 1770. Let v = -239\/988 - n. Let w be (3\/2)\/((-1)\/2). Which is the nearest to 0.1? (a) -1 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -2*v - 8. Let a(l) be the second derivative of l + 0 - 1\/6*l**3 + l**v - 1\/12*l**4. Let a(k) = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 613*p - 1399*p**3 + 614*p - 69 + 1397*p**3 as n*p + k*p**3 + o + j*p**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -15, -20, -25, -30?\n\"Answer: -5*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*m - 5*m + m)*(2 + 2 - 6) - m + 3*m - m)*(-1393*m**2 + 810*m**2 + 766*m**2) as f*m + g + h*m**2 + s*m**3 and give s.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(3\/2))**(-38)\/(o**(-5\/7)*o\/(o\/(o**14\/o))*o) assuming o is positive.\nAnswer: o**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31638, 31631, 31620, 31605, 31586?\nAnswer: 31563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2016.681 to zero decimal places.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6936373 is divided by 867043.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5411 (base 6) to base 16\nAnswer: -4cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {h: 2, i: 4, f: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 1. Suppose n*v - 3*v = 55. Let f(i) = 4*i**3 - 3*i**3 - 3*i**3. Let y(l) = -10*l**3. Determine v*f(z) - 2*y(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98838.86 litres in millilitres?\nAnswer: 98838860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1 + 0)**2 + -1 + ((sqrt(22) - (sqrt(352) - sqrt(22)))\/sqrt(2))**2.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - -136995?\nAnswer: 137012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.871845l to millilitres.\nAnswer: 4871.845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a\/(a\/(a*a**(3\/4)))*(((a**(3\/2)*a)\/a)\/a)\/a assuming a is positive.\nAnswer: a**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 4*r - 2. Suppose 2*c - 5*n + n + 10 = 0, 4*n + 25 = -5*c. Let z be s(c). Suppose -z*h + 1280 = 5*h. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36379\/4 + 9103. Find the common denominator of o and -1\/164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2079535194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = -0*y. Let x(n) = 23*n - 160. Let w be x(7). Let j be (-5 + 8 - (-46)\/(-14))\/w. Which is bigger: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45253\/16 + 2825. Calculate the common denominator of m and 15\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -37*z + 45*z - z. Let t(i) = -29*i**2. Calculate t(x(a)).\nAnswer: -1421*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -11*b + 686. Let y(c) = 16*c - 1032. Give -14*f(k) - 9*y(k).\nAnswer: 10*k - 316","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j = 5*n - 13, -j + n - 4 = 0. Let s = 9 + j. Find the third derivative of -3*d**2 + d**6 + 0*d**2 - 2*d**s + 7*d**2 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -34 and -196739\/5586 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3394 in 0.1, 1\/75, -6\/5, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7092 - -7092. Let r be 8\/2*27\/36. Suppose -5*a + 3*c + 16 = 0, 4 = 4*a + r*c + 2. Solve -2 = a*f - g*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4770 = -3*q - 4749, 0 = -4*q - l + 16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*x**2\/9 + 3231976*x\/9 - 1292792\/9.\nAnswer: 2*(x + 323198)*(5*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, b: 2}. Give prob of picking 3 m.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2037 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/9 + 7\/18. Put v, 0, 3 in ascending order.\nAnswer: 0, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -19*t**3 + 34*t**2 - 144*t + 11. Calculate d(4).\nAnswer: -1237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 88689 = 1883*u - 155*u for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 5:19 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 6. Let d = 12.025358496 - 0.025358706. Let z = d - w. Round z to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 8:56 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 523309 = 1.86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.126 - -0.126. Let m = -1.5 + 1.3. Which is the nearest to 1? (a) m (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) + (-7)\/(-4). Suppose -4*a = 2*n - 22, 4*n - 8 = -b*a - 0*a. What is the units digit of (-4)\/a - 14\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72705.31ms to nanoseconds.\nAnswer: 72705310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 19 - 15 = -3*z, 22 = -5*w + 3*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 755775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/25 + 24\/325. Sort 1, 5, -4, p in decreasing order.\nAnswer: 5, 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(3 + 3 - 4)*(16296*k - 33088*k + 13832*k)*(-1 + 0 - 2).\nAnswer: 35520*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 484.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16772 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose 2 = c - n. Solve 4 + 21 = -c*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(9072) + -1)**2.\nAnswer: -144*sqrt(7) + 36291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42836203, 85672407, 128508611?\nAnswer: 171344815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tarm when four letters picked without replacement from kgmkatgr.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62485 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4 - 3*q + 2 - 6 - 3 - 8*q**3. Let u be r(-2). Is 25 a factor of (-6)\/(-7)*(3 + u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 - 20*k + 18. Let i(x) = x**2 + 7*x - 6. Let v(h) = 8*i(h) + 3*r(h). Let t(l) = -7*l**2 - 8*l + 11. Give 6*t(d) - 11*v(d).\nAnswer: 2*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 6. Let c = 32 - n. Suppose 5*u = 2*u + c. What is the remainder when 10 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 + 628 = -105*w. Let u = -0.6 - 0. Let m = u + 1. What is the second biggest value in m, w, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122763322 divided by 2\nAnswer: 61381661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 329.71.\nAnswer: -362.681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -0.0766.\nAnswer: -0.3766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3*v**4 - 728*v**3 - 721*v**3 - 32*v + 1447*v**3 - 1 in the form a*v**4 + s*v + j*v**3 + d + u*v**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 27*i**2 + 12 + (-4*i**2 + 5*i**2 + 0*i**2)*(1 - 3 + 3) - 11*i**2 + 13 - 13)*(3*i + 6*i - 5*i) to the form g*i**2 + k*i**3 + a*i + q and give k.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -119541.637 rounded to the nearest 10?\nAnswer: -119540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*x + 4*j, -4*x - 2*j + 6 + 36 = 0. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 9 + -2 + -4 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/559231703 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 79.9, 323, 0.2, 1\/7, -1\/2?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011939 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12*n**2. Let c(b) = b**2 + 9*b. What is c(r(h))?\nAnswer: 144*h**4 + 108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/6 + 4\/(-6). Let n(c) = 40*c + 26. What is the hundreds digit of n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 353263 - -4106?\nAnswer: 360402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -626 + 1017. Let s(n) = n**3 - 5*n**2 + 4*n + 3. Let g be s(4). Suppose -3*x = g*b - 309 + 66, 5*x = 2*b + w. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from gbbggggggggbgbbg?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**5 + 0*l**5 + 0*l**5 + (0 + 3 - 1)*(3*l**5 + 6*l**2 - 6*l**2) + (2 - 2*l**4 - 2)*(-4*l - l + 2*l).\nAnswer: 14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 100*i**3 - 590*i**2 + 900*i - 405.\nAnswer: -5*(i - 9)**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121503 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 2, n: 6, t: 2, m: 6}. What is prob of sequence tmrr?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.020321 kilograms to tonnes.\nAnswer: 0.008020321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*t = -3*d - 15, -3*t = -4*d - 21. Let b(x) be the second derivative of x**3\/6 + 5*x**2\/2 + x. Calculate b(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-42)*-30 - -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (-2 - (-8 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 + 2*k**2 + 3*k - 12. Suppose -1133 = -31*i - 420. Calculate the remainder when t(-5) is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.2? (a) 6.5 (b) -2 (c) 0 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3812 is divided by 1270.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12))\/((65\/(-6))\/(-5)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -3 (c) 3 (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31232, -62556, -93840, -125060, -156192, -187212?\nAnswer: -218096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 12:08 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 762 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 30*o - 54. Let r(b) = -10*b + 17. Let d(i) = -6*n(i) - 19*r(i). Give d(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (-4 - (-1 - -1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 6. Suppose -32*n + 4 = -31*n. Let g be b(n). Let u be (0 - g\/((-6)\/(-3))) + -28899. What is u rounded to the nearest one thousand?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwqq when four letters picked without replacement from {q: 2, w: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 - 6 - 2*w**2 - 2*w**2 - 15*w. What are the prime factors of b(-13)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17833192 and 2.\nAnswer: 17833192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 18 + 10 = 0. Suppose b*a + 2 = -i - a, -3*a = -3*i + 12. Suppose 9 + 3 = i*u. Calculate the smallest common multiple of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(0 - -2 - 0). Suppose -10 = -j*b + 4*o + 26, 0 = b + 2*o - 38. Suppose 4*c + 8 = b. Solve q + c*u + 3 = 0, 0 = 7*u - 2*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1094839, -4, -1 in decreasing order.\nAnswer: -1, -4, -1094839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y*y**(-3)*y*y\/(y\/(y**45\/y))*y*y\/(y*y**(5\/3)*y)*y\/y**(9\/5) assuming y is positive.\nAnswer: y**(638\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 848 + -843. Solve p*j - 6 = 3*y, -4*y - 5 = -2*j + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.992555um in kilometers?\nAnswer: 0.000000002992555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/33)\/m)**(-43)*(m*m\/m**8)**(-1\/43))**(1\/8) assuming m is positive.\nAnswer: m**(64913\/11352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -92.59104705.\nAnswer: -93.59104705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1158157 tonnes?\nAnswer: 115815700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-2) - 15\/(-5). Suppose -u*n + 21 = p - 4*p, -3*p = n - 15. Suppose -5*g + 36 = -14. Calculate the least common multiple of n and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*u - 2 + 3 + 5, 165 = 55*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1107798?\nAnswer: 1\/369266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/14 - 76\/(-133)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q**3 - 1358*q - 5*q**3 - 3*q**2 + 1357*q to f + u*q**3 + a*q**2 + b*q and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 22*t + 18 = 0. What is the hundreds digit of 3 + 177 + 0 + t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4729568099892*r + 70*r**3 - 4729568099892*r.\nAnswer: 70*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2923557228 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -728.6186 + 0.0186. Round g to the nearest 10.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 25*k**3\/3 - 17*k**2 - 23. What is the second derivative of p(j) wrt j?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*l + 12*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**4\/32 + 65*t**3\/12 + 272*t**2 + 1024*t + 221. Solve l(m) = 0 for m.\nAnswer: -64, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 96 + 780 = 0. Calculate the greatest common divisor of l and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001 smaller than 1006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -51. Suppose 17 = -s + 3*w, s + 3*s - 4*w + h = 0. Let v be -2*3\/6 - 8. Sort s, 4, v in descending order.\nAnswer: 4, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 5223 = -537. Let u = s + -1202\/5. What is the third smallest value in -8, u, 4, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l + 63*l - 30 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1 = -9. Suppose d*j - j - 38 = 0. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -u - 0*u - 10, 4*u + 6 = l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:52 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1359*m**4 - 1151*m.\nAnswer: 16308*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218 - 153. Which is smaller: 66 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 421358 and 421357 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64401187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1716251082 to the nearest integer?\nAnswer: 41428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 396 - 793\/2. Are i and 0.07 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-3*k**2 - 4*k**2 + 4*k**2) + 301*k**2 - 2746 + 2746.\nAnswer: 307*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 8*b**2 + 3*b + 4. Give a(6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-21))\/((-46)\/(-161))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 + 92 = 7*t. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36049 - 21546. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*d**2 + 676*d**2 + 113935*d**3 - 113930*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28809, 115242, 259297, 460974, 720273, 1037194, 1411737?\nAnswer: 1843902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11807, -47216, -106235, -188864?\nAnswer: -295103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 12198?\nAnswer: 97584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13462.\nAnswer: 2, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*m**2 + 1 - 2 + 2 - m**2 + (-2*m + 0*m + m)*(5 - 5 - 2*m))*(2*m + 0 + 0) - 4*m**2 + 4*m**2 + m**3 + (0 + 0 + m**2)*(-1 - 2*m + 1).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -338 + 387. Sort 5, s, 0.\nAnswer: 0, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h**4 + 3429*h**3 + 16812*h**2 - 114924*h - 34128 = 0. Calculate h.\nAnswer: -158, -9, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1016 (base 8) to base 5.\nAnswer: 4101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11207786 to the power of 1\/2, to the nearest integer?\nAnswer: 3348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -794 = -5*i + 2*n, 4*i - 652 = -21*n + 17*n. Calculate the smallest common multiple of 256 and i.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27.761 and -12.\nAnswer: 333.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 35 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -65*v**3 - v**2 - 1. Let x be b(-2). Let o = x + -367. Suppose 0*c - o = -4*c. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 65*r + 2. What is the lowest common multiple of 80 and y(3)?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.808 + 2.41.\nAnswer: 3.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 12*g + 57 - 18 - 21.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137.8159 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-4 + -4 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18013, -18010, -18001, -17980, -17941, -17878, -17785, -17656?\nAnswer: -17485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 129 + 4819?\nAnswer: 4947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13447947, -26895889, -40343831, -53791773?\n\"Answer: -13447942*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 159736300 - 6?\nAnswer: 159736294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10933 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbe when three letters picked without replacement from jbbbebjeejeeb.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 1\/18 (b) -5\/2 (c) -4 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166890*r - 166892*r + 1 + 53 + 32 = n + 19, -4*r = -144 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 11*j - t + 18 = 0, -2*j + 45 = 5*t. Calculate the remainder when 100 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3909 + 926 = 157*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19623.03 months?\nAnswer: 1635.2525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/275, -3\/4, -0.3, 6, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 2*g - 76 = -3*z, 5*z + 2*g = -64. Let n be (-2)\/z*3*1. Suppose l - 5*l - 4 = 5*u, -u - 4 = 4*l. Is n less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3\/10)*x*(x*x**(-1\/2)\/x)\/x*x*x*x**(-2\/7)*x**(4\/3))\/((x**(-2)*x\/(x\/(x*x\/(x**(-2\/5)*x))))\/(x**(1\/14)*x**(-1\/2)*x)) assuming x is positive.\nAnswer: x**(527\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -r + 292, 2*r = c + 53 + 20. Suppose 5*z = 25*z - 5620. Suppose 5*o = -3*m - 369, -3*o + 3*m - z = -74. Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, 19.7, -1\/5, -3\/2 in decreasing order.\nAnswer: 19.7, -1\/5, -1\/2, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1311 + -1298. Calculate the remainder when 579 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8905 - -8932. Let l = 19 - -8. Calculate the highest common divisor of l and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12 + -3 + -2 - -2. Let a = 98 + f. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 3, p: 4}. What is prob of sequence vp?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -57*g**2 + 54. Let w(o) = 56*o**2 - 53. Let a(p) = 5*b(p) + 4*w(p). What is the derivative of a(n) wrt n?\nAnswer: -122*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -13054201.\nAnswer: -91379407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 18*y = 55 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-2485)\/(-426)*(-864)\/(-60).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1891, -330, -2551, -4772?\nAnswer: -6993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 17 = -5*d, 0*d + 8 = 2*y - 4*d. Let l be y\/(-5) - (-4)\/(-10). What is the units digit of -3 + (-1 - (-11 + l))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -494*q**2. Let s(u) = 175632*u. Determine a(s(j)).\nAnswer: -15238220115456*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2232 and 2232?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450681 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27436 and 608.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -28*q + 315 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 62, -1\/7, -2\/3 in decreasing order.\nAnswer: 62, 0.1, -1\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -5*w - 4*l - 134, 5*l + 135 = 5*w. What is the derivative of -6 - 9 - 6 - 28*p + w - 13*p wrt p?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 18 - 38)*(3*a - a - 3*a).\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2432.299 milligrams?\nAnswer: 2432299000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625673187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 110222872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -4) + 13 - 4 - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 8*m + 7. Let q be (-8 - -1)\/(4\/4). Is o(q) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2. Let f(d) = 46*d**2. Calculate x(f(u)).\nAnswer: 4232*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 678 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.5 - -27.5. Sort -1, -7, -0.5, b in descending order.\nAnswer: -0.5, -1, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 17*x + 19. What is c(-8)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m - 6*m - 1 - 2. Let r be g(-4). Let b = -19 + r. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -226 + 5098. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.942 - 0.354.\nAnswer: -11.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -u + 3*l, -4 = 4*u - l + 3*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(539) + -2 + 3 + -1 + sqrt(539)*1 + -4))**2.\nAnswer: -1008*sqrt(11) + 19548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 2*q**3 + 17 + 34 + 1743*q**2 - 1743*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-24)*132\/(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 378207 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, d: 6, n: 9, u: 1}. What is prob of picking 1 d, 1 u, and 1 s?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60861.74 hours to minutes.\nAnswer: 3651704.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -294506, -1177585, -2649384, -4709903?\n\"Answer: -294360*a**2 + a - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**5\/20 - 7*a**4\/12 + a**3\/6 - 3*a**2 - 3*a. What is the remainder when 15\/(-6)*(-4)\/5 is divided by q(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 6) in base 10?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*w + 179*w + 60 = 0. Let g(r) be the third derivative of 0*r - 7\/4*r**4 + 0 - w*r**2 + r**3. What is the derivative of g(j) wrt j?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75\/(-945)*518 - (-4)\/36\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8968 and 47259118?\nAnswer: 189036472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 7*y**2 + 15*y**2 + 8*y**2.\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-9)\/(0 + 3) + 9 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -1969*1\/1. Round d to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235350 (base 6) to base 10.\nAnswer: 20658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from koookbobokonxovbvvo.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 36. Let d be j(-27). Let a = -210 - -234. What is the highest common divisor of d and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 267*n + 206. Let u = -255 - -227. Let t be s(u). Round t to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 - 2470808*r**2\/5 + 126569440*r + 253534208\/5 = 0. Calculate r.\nAnswer: -123796, -2\/5, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r - 13. Determine j(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7813*y**2 - 5*y - 8. Suppose i + 4 = -22. Let v = 18 + i. Let g be a(v). What is g rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/342)\/(((-2)\/(40\/(-6)))\/(-9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 2667830.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -12, 824, -5 in increasing order.\nAnswer: -12, -5, 61, 824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -102, -149, -198, -249, -302?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(210\/(-45)))\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (148\/(-6))\/((-90)\/(-2295)). What are the prime factors of f\/(2*(-2)\/12)?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-2)\/(-3) + -1). Suppose 3*o - 19 = o - 3*q, 4*q = 5*o - 13. Suppose o*y - b - 3 = -12, -5*b = -2*y + 1. Sort h, 4, y in increasing order.\nAnswer: y, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237435397481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1971 by -3005.\nAnswer: -1971\/3005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72520)\/5880 + 556\/45.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136884?\nAnswer: 2, 3, 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*b + 0*b - 112 = 0, 2*g + 239 = 5*b. Let t = -2952 + 2828. Let m = t - g. Sort 4, -6, m, -1 in decreasing order.\nAnswer: 4, m, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -19?\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1280, 4680, 10216, 17888, 27696, 39640?\n\"Answer: 1068*d**2 + 196*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 988666654.\nAnswer: -988666653.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((3 + -5 + -4 - (11 + -24)) + -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/23, -0.2, 5, 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 = -14*g + 81. Which is the closest to -0.1? (a) 5 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 25*h = 253. What is the remainder when 13 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 - 125.23. Let k = 0.33 + v. Which is the second biggest value? (a) 1\/5 (b) -18 (c) k (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqtz. Give prob of sequence tqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51657 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 11020110?\nAnswer: -11020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -182995396 divided by 6?\nAnswer: -91497698\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(96) - sqrt(96)\/sqrt(4)*1)\/(sqrt(12) - sqrt(48)\/sqrt(4)*1 - (sqrt(12) + sqrt(768))) + -3.\nAnswer: -3 - 7*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -787 in 4, 34, -0.11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 63994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-3)\/(-4)) + (-1)\/4. Solve 4*u + 2*v - 2 = 4*v, b = u - 4*v - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (53 - (-1189)\/(-41)) + -25. Let h(n) = 20*n - 1. Let j(d) = -d. Let i(c) = -h(c) - 5*j(c). Determine i(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 6 + 29. Suppose -13*f + 18 = -b*f. Let z(c) = -c + 3. Let l be z(0). Solve 0 = -i + 2*g - 11, f*i + 4*g + 0 = -l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -0.1, 1\/2, -0.081 in increasing order.\nAnswer: -4\/3, -0.1, -0.081, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, p: 4, e: 3}. Give prob of sequence eepr.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/8)\/13*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11169449, 22338912, 33508375, 44677838, 55847301?\n\"Answer: 11169463*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (11 - 3) + (-3 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 - z**2 + 6*z - 1. Let g(c) be the third derivative of -c**6\/120 + c**5\/60 + c**4\/24 - 825*c**2 + c. Calculate g(f) + k(f).\nAnswer: 2*f**3 + 7*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -884.2 + 884. What is the fourth biggest value in l, -2, 34, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*m - 146 = -149*m - 391. Sort 6, 43, -3, 0, m in decreasing order.\nAnswer: 43, 6, 0, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -376, -587, -826, -1099, -1412, -1771, -2182?\nAnswer: -2651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1817794\nAnswer: 1817794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llaaal. What is prob of sequence la?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -11 + -5 + 0 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26225*h = 26223*h + 24 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 3*u**2 - 2*u + 11. Let v be w(-4). Let f(i) = i**2 + 5 + i + 5*i**2 - v*i**2. Let r(k) = k**2 + 1. Determine f(o) - 5*r(o).\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -91, 24, 3 in ascending order.\nAnswer: -91, -3, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/3 + 13*y**2\/3 + 4*y.\nAnswer: -y*(y - 4)*(y + 1)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 + -60 + 71 + -95?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192*b**3 + 7012 - 8362 + 197*b**3 + 1545*b - 200*b**2.\nAnswer: 5*(b - 30)*(b - 9)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153 - -315. Let v be (-6)\/w*3*-1. Are v and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 35*u - 6. Determine g(2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16, 5, -4, 2 in ascending order.\nAnswer: -4, 2, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -23*j**2 + 398*j - 715. Let z(p) = -8*p**2 + 126*p - 238. Let n(f) = 6*i(f) - 17*z(f). Determine b so that n(b) = 0.\nAnswer: 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1841 = -k + 4*a, 5*k + 15*a - 11*a = 9157. Suppose -k + 6921 = 8*p. What are the prime factors of p?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 478 - 448 = 3*n, 0 = 5*f - n - 41 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 18 + 37 = 5*a, -3*a - 5*x = -14. Let z be a\/3 - 1\/3. Let g be (-46)\/(-14) + (-4)\/14. Solve 13 = g*u - y, -u - z*u = 4*y - 33 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(sqrt(1800) - ((-3 + sqrt(1800))**2 + -2)) + -2 + (sqrt(1800) - (0 + sqrt(1800) + -2)**2)).\nAnswer: -27102 + 2970*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -8. Let w be (a\/(-10))\/((-12)\/(-5)). Suppose 0*c + 15*c + 5*c = 0. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2076 - -2975. Let v(h) = 2830 + d + h + 2871. Let l be v(0). Round l to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 35*j. Let y(p) be the third derivative of -p**5\/60 - 4*p**2. Calculate a(y(d)).\nAnswer: -35*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o - 20 = 31*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1748, -1754, -1764, -1778, -1796, -1818, -1844?\n\"Answer: -2*j**2 - 1746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 9*u + 13 = 0, 1504*d - 1501*d + 5*u + 8 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0304 take away 0.782578679?\nAnswer: -0.812978679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, l: 1}. What is prob of sequence al?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 805440 - 805445. Let v = 3 - 2. Let g be (2\/(-16))\/(v\/(-2)). What is the nearest to 0 in o, 5\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by 134907?\nAnswer: 64\/44969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-14)\/(3\/(-6)). Let s = 221 - 243. Let n = s + t. Solve -1 = -h + 4*z, -z - 4 = 5*h - n*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -237\/7?\nAnswer: -237\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) -0.05144 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Suppose -2*k = -4*y + 758, -2*k - k - 9 = 0. Suppose 0*v = r*v - y. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + 96*a + 128. Give d(-31).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 5*b**2 + 2. Let s be j(-5). Suppose -s*k + 48 = k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*l**2 - 2*l = 0. What is l?\nAnswer: 0, 2\/381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(5\/6)*34*7\/476\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.035 (b) 13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1006865 by 2885.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 z when four letters picked without replacement from {s: 4, t: 1, z: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 34780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*v + 225752 + 406336 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l + 9. What is the tens digit of k(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 7 + 6 = 0. Sort i, 5, 11 in decreasing order.\nAnswer: 11, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 38*v**2 + 165*v + 5. Let a be u(-33). Solve -3*w + 19 = a*t + 2, 5*t - 1 = w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.12543 from -28.\nAnswer: -32.12543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675291083710 = c + 4*c. Let p = c + 9687590828174582\/71729. Let k = 2\/10247 - p. Find the common denominator of k and -54\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 12:55 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 78331 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35*((-330)\/(-75) - 2*2). Solve -q + 26 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -37. Let o be d\/(-70) - 66\/(-14). Suppose 2*y = 3*t - 1, -5*y = t - 6 + 34. Sort o, t, -2.\nAnswer: t, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*g - 56 = 58*g - 4*a, 4*g - 4*a - 16 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (sqrt(1078) + sqrt(1078)*-4))\/((sqrt(11) + sqrt(275) + sqrt(11) + sqrt(11) + sqrt(11))*6).\nAnswer: 11*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/60 - 5*j**4\/24 - j**3\/2 - j**2. Let a = -9944 + 9948. What is q(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3777, 7570, 11377, 15204, 19057?\nAnswer: 22942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 41, 56, 73, 92?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-63)\/12 + (-1)\/(-4). Let a(o) be the first derivative of o**4\/4 + 2*o**3 + 5*o**2\/2 - 961. Let n be a(v). Solve 5*m = -5*l - 5, 6 = -2*m - n*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*-24*(-12)\/48.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.8133*-4\nAnswer: 3.2532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/16? (a) 7 (b) 1\/8 (c) -1603 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*p + 1 + (-5 + 0 + 3)*(0*p + p + p) + 2*p - 4*p + p - 2*p + 0*p - p + 0 + 2 - 3*p - 1)*(-3 + 4 + 3) to the form n + v*p and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:24 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = 31 + 13. Is -2 - -21 - 1*g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7012619773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-588)\/56*24*-1. Suppose 0 = -m - 5*m + q. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*t = -3*t. Suppose -3*m = -21 - 9. Suppose 5*x + t = m. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.951 minus -79994553?\nAnswer: 79994627.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 11, c: 5}. What is prob of picking 1 r and 1 c?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136690 - -136689.719. Let f = 0.4 - 0.3. Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*t = -105*t + 2*f - 8451, -3*f + 9 = 0. List the prime factors of t.\nAnswer: 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r\/r**(-2\/3)*r*r*r)\/r)*r)\/(r**8*r))**(-48)\/((r**(1\/3))**48)**(-1\/2) assuming r is positive.\nAnswer: r**568","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from gggddgogdvoggfgd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(429))\/sqrt(11) - sqrt(39))\/(1*sqrt(3)*-6).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 + 5*b. Let m(n) = 3*n**2 + 3*n - 1. Let q(j) = 3*m(j) - 2*v(j). Let o be 2 + 4*1*-1. Let i be q(o). Solve -s - 2*y = y + 7, s - 5 = i*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3876068 kilometers?\nAnswer: 38760.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284 - 279. Suppose x*a - 27 = 3*d - 234, -3*a = d - 55. Solve 5*k = -d + 44 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 101*m**3 + 7*m**2 - 14*m + 2. What is the units digit of w(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyyayyyfyfffy. Give prob of sequence afy.\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 - 696*l**3 + 1364*l**2 + 2064*l.\nAnswer: 4*l*(l - 172)*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -47. Suppose -2*t + 10 = t - r, -4*t + 8 = -4*r. What is the greatest common divisor of p and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6534002 is divided by 1977?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 21 - 49 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 797*m + 7971. Determine r(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - z**3 - 7 + 7 - z**2 + 2*z**3 + z**2 + (4*z + 0*z - 5*z)*(1 - 1 - z**2) - z**3 + 16*z**3 - z**3 to k*z + g*z**2 + b + s*z**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 5*l**2 + 0*l**2)*(l**2 + l**2 - 4*l**2 + (3*l - 2*l + 0*l)*(0*l + 2*l - l) + (0*l - 3*l + 4*l)*(l + 2*l - 5*l) - 37 + 37 - 10*l**2).\nAnswer: 104*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 776.1107 tonnes?\nAnswer: 776110.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 21*l - 1. Let y(b) = -5*b. Give -2*t(g) - 9*y(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 8:45 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 + -0.0699.\nAnswer: 131.9301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18596 - 9293 + 2*s**2 - 133*s - 17*s**5 - s**3 - 307*s - 9300 wrt s.\nAnswer: -340*s**3 - 6*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2127421*z. Let m(n) = 3*n. Calculate d(m(y)).\nAnswer: 6382263*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5945\/728 + 1\/2184. Let p = 251\/30 - a. Let u(l) = 2*l + 7. Let r be u(-4). What is the second smallest value in 0, p, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 443 + -152. List the prime factors of o.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iulf when four letters picked without replacement from lwfufifiuif.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f**2 - 2*f. Let i be d(-2). Suppose -3*g = -5*r + 1, 0*g + 4*g - 47 = -3*r. Calculate the greatest common factor of g and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/(6\/(-8)). Suppose -2 - 4 = -3*l. Suppose -l*m + 12 = -0*m. Solve p*d + m = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 1. Suppose 8*w - 16 = h*w. Let u(z) = -z**2 + 9*z - 4. Let l be u(w). Solve -4*t + g = 5*g - 12, 4*g - 28 = l*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154613837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2, -242, 4, 0, 4900 in decreasing order.\nAnswer: 4900, 4, 3, 0, -2, -4, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1655*n*z**5 + 2*n*z**3 + 546*n*z - 19*z**2 - 2*z - 14 wrt z.\nAnswer: -33100*n*z**3 + 12*n*z - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 48*h**2 + 3*h + 148. Let j be z(-48). Solve 0 = -2*b + j*o - 4, -2*b + 7*o = -0*b + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 80*g + 6. Let q be r(2). Let b = q - 157. Let w(n) = -n**3 + 3. Let v(f) = 3*f**3 - 6. Calculate b*w(k) + 4*v(k).\nAnswer: 3*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**3 - 41*r**2 - 19*r - 9. Give t(-13).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16115, -33898, -51679, -69458, -87235, -105010?\nAnswer: -122783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 54418 = 10*s, 0 = -5*s - 5*f + 17444 + 9786. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from coofpcfpcpcptx. Give prob of sequence fftp.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 409\/12 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j + 12*j**2 + 0 - 11*j**2 - 1 - 3. Let k be v(-4). Suppose -6*i = -i + k*i. Solve i = 3*b - 0*b - 2*z + 4, 5*b - 3*z + 7 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*b**2*h*k**3 - b*h**3*k**3 + b*h**3 - 42*h**3 + 11*h*k**3 wrt b.\nAnswer: 86*b*h*k**3 - h**3*k**3 + h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(7\/4)*i*i*i)\/i*i**(-7\/3)*i)\/(i**(2\/11)*i\/(i\/(i\/i**(-2\/3))*i)))**(-13))**(-39) assuming i is positive.\nAnswer: i**(57291\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -10. Suppose 0 = -4*c + 9 + t. Solve 3*a = 4*h + c, 0 = 5*a - 3*h - 2*h - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(0 - 2))\/((-22 - -36)\/14). Let x = 3 + -2. What is the highest common factor of x and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 179, 1\/5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21720 and 480.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48160 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-1061626)\/(-4216) + 3\/(-51))*136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11303032113300 + -11?\nAnswer: 11303032113223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x**3 + 4101*x**2\/2 + 451041*x + 112632 = 0. Calculate x.\nAnswer: -152, -1\/4, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -99*d**2 - 34*d + 37. Give w(1).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1)*24\/18. Suppose -3*x = -4*r - 6 + 106, n*r - x - 100 = 0. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 334542.\nAnswer: 1003626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023844 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 600563 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 341? (a) 0.31 (b) -4 (c) -2031\/2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 62\/5 (b) 21 (c) -2337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 8:23 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 8*z**2 + 35*z - 285. Let h be q(8). Let i(s) = -2*s**3 - 6*s - 6. Let g(v) = -v - 1. What is h*i(k) + 30*g(k)?\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times -4.6624\nAnswer: -0.885856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 3:58 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*s - 275*s**3 - 64*s + 295*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 = 4*g - 4, -2*g + 2*q = -2. Suppose -g*w = 2*r - 0*r - 120, -r - 192 = -3*w. Calculate the remainder when w is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0 (base 11) to base 12.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019702067 to 7 dps.\nAnswer: 0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpb when three letters picked without replacement from {s: 1, p: 1, b: 1, v: 1, k: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Let q be 1 - (b + (0 - 1)). What is the remainder when 6 is divided by 0 - (-1 - 6\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(21 + 473\/(-22)). Let g(r) be the second derivative of 0 + 0*r**m - r + 0*r**3 + 3\/2*r**4. Let n(l) = -3*l. Give n(g(p)).\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -801 plus 5.2?\nAnswer: -795.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 551 and 3017537?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(2\/(-4))\/1. Suppose 2*f - 652 = -h*f + 3*u, 3*u - 1630 = -5*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2. Let n = 20 + 1652. Let y(b) = 4*b**2 + 1672*b - n*b. What is m(y(u))?\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002905881 to six decimal places.\nAnswer: 0.000291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1695482 to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 6*z. Let w(g) = g. Let l(m) = i(m) + 6*w(m). Let p(f) be the second derivative of -f**4\/12 + f. Determine l(p(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5354 meters in kilometers?\nAnswer: 0.0095354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 less than -17834987095?\nAnswer: -17834987094.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlh when three letters picked without replacement from {d: 1, h: 1, n: 2, r: 1, l: 1, k: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p\/((p\/(p**(-2\/23)\/p))\/p))\/p)*p*p\/((p\/(((p*p**(-17\/3))\/p*p)\/p))\/p)*(p**(-15\/4)\/p)**(7\/3) assuming p is positive.\nAnswer: p**(-1165\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6997, -28046, -63135, -112270, -175457?\nAnswer: -252702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = -11. List the prime factors of (20 + 1)*24\/f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43288854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2813 and 35895.\nAnswer: -100972635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 m when four letters picked without replacement from avvcmmcavv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (310\/(-30))\/((-491)\/1473).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00729955083 to six dps.\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 83*s**7\/210 + 23*s**4\/8 - s**3\/6 + 6*s**2. Find the second derivative of d(a) wrt a.\nAnswer: 996*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 7931 + 2453 = 0. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*g + 4*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**31\/x**(-6)*(x*x**(-27)\/x)\/x**(3\/10) assuming x is positive.\nAnswer: x**(97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/(-21) + (-4)\/(-6). Is ((-3)\/l + -82)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 6:26 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 15094.66 to the nearest ten.\nAnswer: 15090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*c + 11 = 0, 0 = -2*f + f + 3*c + 7. Suppose 2*b - 12 = -5*v, 0*v + 4*b - 6 = -v. Let p be (-26)\/6 - (-2)\/6. Sort v, f, p in increasing order.\nAnswer: f, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 39*v**3 + 124 + 6*v**3.\nAnswer: 45*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/9)\/d)\/d)\/d*d**(-5)\/d)**(4\/7) assuming d is positive.\nAnswer: d**(-316\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48510 - 84728. Is k greater than -36217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*t**5 + 66*t**4 - 114*t**3 + 26*t**2 + 66*t - 36 = 0. Calculate t.\nAnswer: -3\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 4, p: 5}. Give prob of picking 2 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 24*s + 0*s**2 + 0 + 2*s**3 + 1\/10*s**5 - 5\/6*s**4. Factor v(g).\nAnswer: 2*g*(g - 3)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2578468 is divided by 1409.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -11. Suppose -6*u - 3 = -h*u. List the prime factors of (-60)\/(12\/3)*u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**2 - 3*g - 8. Let f = 25 + -29. Does 20 divide n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 17 + 3)*(-146*g**4 - 6248*g + 6248*g).\nAnswer: -3066*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25.8 and 46.\nAnswer: -1186.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 7*f**2 + 132*f - 401. Give d(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*o + 10838 = -661 + 499 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o**(-3\/2)*o)\/o)*o*o**(1\/8)\/o assuming o is positive.\nAnswer: o**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18325823 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10735?\nAnswer: 5, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -17 + 31 + -13 + -14\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3*d - 7 = -17, -b + 4*d + 11 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 107.77? (a) 4 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.13 + -0.13. Let h = 6.8 - c. Let l = -0.3 - h. Which is smaller: -1\/3 or l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257 + -254. Let y be ((-600)\/16)\/(((-3)\/(-277600))\/w). What is y rounded to the nearest 100000?\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - (0 - -2))\/(6 - 127). Do 0 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191577692?\nAnswer: 2, 3, 99298141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**2 + 117*w + 210. Suppose 2*x - 14 - 96 = 0. Calculate the remainder when x is divided by g(-15).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 + 7 + -109 + 70.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1313653 + 1313645.000135. Let s = 8 + h. What is s rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.043 and 17.5?\nAnswer: 17.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-11 + 63 + (27 - 53))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + (-970)\/(-190) - (-6192)\/19 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from {p: 1, a: 6, w: 1, g: 2, n: 2, v: 7}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**3 + 2*g**2 + 2*g. Let s = 1222 + -1227. Let o(y) = 18*y**3 + 5*y**2 + 5*y. Calculate s*x(j) + 2*o(j).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19869\/100*527\/(-51). Let m = -41783\/4 - -12497. Let f = m + u. Find the common denominator of f and -99\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(91)*3)\/sqrt(7) + -1 - (((sqrt(208) - (sqrt(208) + 3)) + 5)*6)**2.\nAnswer: -148 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.6 - 0.4. Let n = 0.03 + -2.03. Let r = 0.3 - 0.1. What is the second biggest value in r, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 23. Let s = 15 + a. Suppose 4*m + 5*j - 47 = 18, s = 2*m + 2*j - 30. What is the lowest common multiple of m and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -23186?\nAnswer: -23180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2614195675 to the power of 1\/3, to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157830 is divided by 1834?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 21)*(-z + 0*z + 0*z)*(3 - 3 + 3*z**3).\nAnswer: 81*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0442 - 0.7116?\nAnswer: -0.6674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 90147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3213970 + p**2 - 19*p**3 - 3213970.\nAnswer: -19*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -89336446 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001526765 to 5 dps.\nAnswer: 0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {q: 1, w: 2, s: 7}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32053683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 28 = -2*s, 2*a = a - 5*s + 11. List the prime factors of a*-2*1*-1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 687.3253mg?\nAnswer: 687325.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + 6. Suppose -b = -u - u. Calculate the smallest common multiple of u and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**2*x**3 + 2273*r**2*x**2 + 31*r**2*x - 2*r + 2*x**3 - 10 wrt x.\nAnswer: 6*r**2*x + 4546*r**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.13, -83532?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -35 - 30 - -29\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4788 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*b + 16 = -19, 0 = 2*t - 5*b - 37. Suppose c = 18 + t. Let v be (-2)\/4 + c\/4. Solve j = 5*j + v, -j = -2*s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 16*o + 4. Let x(r) = -9*r - 9. Let b(q) = -q - 2. Let u(n) = 4*b(n) - x(n). Let k(w) = -2*s(w) + 7*u(w). Let a(h) = 2*h**2. Give a(k(v)).\nAnswer: 18*v**2 - 12*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - 67.\nAnswer: -66.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1e6e0 (base 16) to base 14\nAnswer: -335cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**2 - 184*n - 1685. What is q(-9)?\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 6841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -159*o + 1427. What is the tens digit of d(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5645.9927736 minus -8?\nAnswer: 5653.9927736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 32. Suppose 3*c = u*c. Suppose -2*n + c*n = -4*i + 4, -3*i = -6. Solve -3*y + 9 + 3 = -4*g, 0 = 4*g + n*y + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*z + 14*z + 132 = 0. Solve -z*p + 2*u = u + 13, -4*u = -20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1415\/4227 - -2\/1409. Which is the nearest to -4? (a) 0.5 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:53 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*l = -11, 5*l + 49 = -4*g + 33. Is -2\/3629 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/3*2*(-596)\/96 and -1\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfblfi. What is prob of sequence ifv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 4*d + 48. Does 6 divide (1 - (1 - 1))*d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 56*w**3 + 5*w**2 - 57*w**3 + 25 - 3*w + 2*w**2. Let y be x(7). Suppose -y*b + 35 = 59. Let n(k) = -k. Let i(r) = -5*r + 2. Give b*n(p) + i(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 31404 (c) -601\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(19)*-2 + (sqrt(171)*-2)\/sqrt(9))**2*4.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-12)\/(1344\/(-98))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14442 - 1343312?\nAnswer: -1402154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u*u**0))\/(u\/(u\/(u\/((u\/(u\/(u**0*u*u)*u))\/u)))))**(-49)\/((u*u**(1\/3))**(10\/9)*u**(-2\/19)*u*u**0) assuming u is positive.\nAnswer: u**(23918\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y - 409 = -3*i, 3*i + 3*y - 399 = 0. Suppose 0 = 3*t - t - i. Suppose 2*s - 2*c = 30, 9*s = 4*s + 2*c + t. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653811121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1534 and -1962.81.\nAnswer: -428.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-36)*g)\/g**(-29)*(g\/(g**(-5\/6)*g))**(2\/7) assuming g is positive.\nAnswer: g**(-121\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/175)\/(5\/(-25))*15\/26.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 5402.\nAnswer: -1\/5402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257 + 130 + 2*z + 127.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -11.8, -5, 0.029, 1 in increasing order.\nAnswer: -11.8, -5, 0, 0.029, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -834.2 times 0.3\nAnswer: -250.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, -3, -0.08, -0.1 in descending order.\nAnswer: 1.1, -0.08, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*k**3*m**2 + 103*k**3*m + 219*k**2*m - 1286*k*m**4 wrt m?\nAnswer: -20*k**3 - 15432*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - ((18 - (10 + -4)) + -8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = -16*k + 21*k - 45. Suppose -5*z + 26 = -3*n, 0 = -2*z - 3*n + 6*n + 14. Suppose 0*f - z*f - 20 = 0. Sort k, 4, f in decreasing order.\nAnswer: 4, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3600 and 75825?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84814931 is divided by 702?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/8*2\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 253 and 101016?\nAnswer: 1111176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 16\/10)*(34\/(-289))\/((-35)\/(-595)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*k + 4 + 3849*k + 752*k - 4 to the form d + m*k and give m.\nAnswer: 4714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (11 - 21) + (-25 - -21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 350, 337, 324?\n\"Answer: -13*j + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 7*k - 5. Calculate the remainder when 24 is divided by j(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, i: 3, s: 3}. What is prob of picking 3 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or -44?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6898, 13835, 20772, 27709, 34646, 41583?\nAnswer: 48520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 654, 1367, 2082, 2799, 3518, 4239, 4962?\nAnswer: 5687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5779050, -11558116, -17337182, -23116248?\n\"Answer: -5779066*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154080 and 119840?\nAnswer: 1078560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 8*a + 16. Let u be y(-4). Suppose 4*m + 2 = 26. Solve -3*i - q - m = -u, 0 = 4*i - q + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48445, 48450, 48459, 48472, 48489, 48510?\n\"Answer: 2*c**2 - c + 48444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2202.99988088 + 2203. Round c to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821967393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-546))\/(372\/4836))\/(((-2)\/119)\/(-2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-10 - -44652) + 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -542942, -542936, -542942, -542966, -543014?\nAnswer: -543092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/292992 and 49\/1152.\nAnswer: 878976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 38 - 29 = 0. Let d be (-6)\/n*3*-1. Solve 4*c + y = 16, 5*y + 7 + 1 = d*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 + (-3 - (-10 + 3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 4\/7, -2\/7, 3 in descending order.\nAnswer: 3, 4\/7, 0.4, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 u when four letters picked without replacement from {c: 1, m: 1, b: 3, u: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5)\/(t*t**(-1\/6)))\/((t\/t**(-6\/7))\/(t\/t**(-11))))**(4\/41) assuming t is positive.\nAnswer: t**(4078\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/2 - 5382*d**3 - 3*d**2\/2 + 16147*d - 10764 = 0 for d.\nAnswer: -2, 1, 10764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -24. Suppose -5 = -4*v + a. Calculate the remainder when 8 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, d: 1, m: 2}. Give prob of sequence mdp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/8 (b) 5271 (c) -136 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (16*4\/144)\/(114\/(-108)*-4)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/13))\/a)**(-28)\/(a*a**(-1\/21)*a**(-15)) assuming a is positive.\nAnswer: a**(5011\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96675406, -96675404, -96675402, -96675400, -96675398?\nAnswer: -96675396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 424036?\nAnswer: -424032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5759)\/(-65) + (-56545)\/6575?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1120*l - 36188 - 24893 + 1264 = 32023 for l.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 2*k**2 + 3*k - 209. Let o(y) = -2*y**3 + 3*y**2 + 4*y - 211. What is -4*d(t) + 3*o(t)?\nAnswer: 2*t**3 + t**2 + 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13*r**2 - 78*r - 13. Let k be p(6). Let a be k\/(429\/(-6)) - (-4)\/(-22). Which is greater: a or 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*x + 5*x + 0*x)*(0 + 2 - 1) + 6 - 6 - 10*x)*(14139 - 29792 + 14772)*(0 + 0 - 2*x).\nAnswer: -14096*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 25632 divided by -96\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13203 = -787342*y + 787179*y for y.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1041274 and 31958?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*r**2 + 3*r - r + r.\nAnswer: 67*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 9*r + 2*x = -258, -3*r - 3*x = -243. What is the remainder when r is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 11*h + 8. Calculate g(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -128, -624, -1450, -2606, -4092?\n\"Answer: -165*l**2 - l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22442999114 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-104)\/(-130))\/(-1 - 14\/(-10)). Suppose 0*p**5 + 2*p**4 - 6*p - 2*p**5 + 8*p**3 - 19*p**u + 15*p**2 + 2*p**4 = 0. What is p?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d**4 + 875*d**3 - 6903*d**2 + 19737*d - 19251 = 0. What is d?\nAnswer: 3, 713\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.3, 3, -7, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 + -56. What is the common denominator of 7\/(s\/(-24)) - 1 and -18\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -91*g - 277. Determine k(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55280320 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*n + 15, u = 3*u + 2*n. Let m(z) be the second derivative of -3\/10*z**u + 0*z**3 + 0*z**2 + 1\/10*z**6 + 1\/4*z**4 + 3*z + 0. Factor m(x).\nAnswer: 3*x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -484\/7 - -69. What is the nearest to t in -4, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5328 + 5356 - 5*g**2 - g + 10*g**2 - 10660 to the form l + q*g**2 + s*g and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 - ((-964)\/228 - -5)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2650)\/(-2120)*(-3)\/(-1)*-4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2 - -2) + (9 - 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 819\/(((-9)\/5 - -6) + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -65, -119, -195, -293, -413, -555?\n\"Answer: -11*l**2 + l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*b*m**2*r**2 + 31*b*r + 22*m**2*r**2 + 2*m**2 + 2*m*r - 2*r wrt r?\nAnswer: 108*b*m**2 + 44*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 712 and -4?\nAnswer: -2848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 5) to base 12\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 14 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 16722 = -4*h, -4*q - 5351 = -2*h + 3001. Suppose 2458 = 16*b - h. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 115*i - 2058. Give b(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -51*w**3 - 2626*w**2 - 280*w. Let c(r) = -48*r**3 - 2625*r**2 - 282*r. Let q(g) = -3*b(g) + 2*c(g). Determine m so that q(m) = 0.\nAnswer: -46, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 31. Suppose -4*m + 88 = 4*w, w + 0*m = 2*m + 7. Let a be b(w). Let k = 179 - a. Calculate the greatest common factor of 76 and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**3 - 425 + 456*k + 38*k**2 - 4*k**3 + 5 - 114*k**2 - 444.\nAnswer: 4*(k - 9)*(k - 6)*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y - y)*(-116*y + 32 - 32)*(-y**2 + 2*y - 2*y).\nAnswer: 116*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 0.83.\nAnswer: 10.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -75, -6806, 3\/5, -17, 0.5 in increasing order.\nAnswer: -6806, -75, -17, -2, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiisdacibss. What is prob of sequence iii?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/4 - 5019*p**2\/4 + 8396787*p\/4 - 4682608217\/4 = 0. What is p?\nAnswer: 1673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493 - 6 + 313 = -160*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(343) + -2)*5 + sqrt(343))*2*-6)**2.\nAnswer: -116928*sqrt(7) + 1791568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -906, -3695, -8346, -14865, -23258?\nAnswer: -33531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 7*s + 23. Let g be p(-10). Let d be (g + 7)*(-1)\/(-1). Suppose 4*j - 8 = d, 2*k - 6*k + 3*j = -110. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g = -36*g + 61*g. Sort g, 31, -1, 2 in descending order.\nAnswer: 31, 2, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 138380.107 to the nearest 100.\nAnswer: 138400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 1. Suppose 3*x - z = y + 4*y, -80 = -5*x - 5*y. Solve -2*b = b + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4974810 not equal to -4974810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 40736, -1, 3 in descending order.\nAnswer: 40736, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 21008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + -1*-3*(4 + sqrt(500) + -1)))**2.\nAnswer: 18000*sqrt(5) + 116100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, e: 2, f: 3, s: 2}. What is prob of picking 3 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793728057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - 4*h**2 + 8*h - 12. Let s(a) = a**3 + 6*a**2 - 2*a - 5. Let x be s(-6). Suppose 25 = x*o - 2*o. Is f(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 50\/13 (b) -5 (c) 12\/131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752)*1*4)\/((sqrt(27) + ((sqrt(135) + sqrt(135)*1 + sqrt(135))\/sqrt(5) - sqrt(27)))\/sqrt(9)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Let l be (1 - 1)\/((-4)\/g). Solve l*q + 2*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -110 - 114 + 13409*m - 115 + 339 as x + g*m and give g.\nAnswer: 13409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 556459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 48, 81, 130, 201, 300, 433, 606?\n\"Answer: a**3 - a**2 + 19*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19601591621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 7*h**2 - 8*h + 3. Let c be z(8). Suppose u + 10 - 38 = -c*w, -2*u + 62 = 3*w. Calculate the greatest common factor of 85 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*r = -57*r + 252 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + -3 + -2*sqrt(1900)) - ((sqrt(2299) - (sqrt(2299) + 2))*-3 + 0 + sqrt(2299) + 5))**2.\nAnswer: -126*sqrt(19) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-27) - 1059\/27. Let t = 42 + r. Suppose 4*x - t*w - 116 = 0, 4*w - 122 = -5*x + 2*w. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -82?\nAnswer: 11\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 102. Let k = u - -48.69. Let d = k + -2.6791. Round d to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, -311923, -12 in decreasing order.\nAnswer: 9, 4, -12, -311923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -404, -1290, -2986, -5762, -9888, -15634, -23270?\nAnswer: -33066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - d - 2 = 0, 4*y + 3*d - 23 = 13. Let n be -2 - -1 - (-51)\/(-3). Let t be 4\/n + (-40)\/(-18). Solve -4*l = t + y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/54*15*(-21114)\/230.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -34426157.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*r = 8, -3*r = -4*i - r + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5611662 months in decades?\nAnswer: 0.004676385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01132 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-39 - (-16 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/2540, 0.4, 0.2?\nAnswer: -3\/2540","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -19*d + 23*d. Suppose 0 = 2*o - 4 - 4, 4*o - d = -4*x. Calculate the remainder when 683 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 323*h**3 + 2*h**2 - 1. Let k be o(1). Suppose 5*m = -m + k. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 821 = -635 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-1)\/(-4)*-13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 15 (c) -3\/4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117021714 to the power of 1\/2, to the nearest integer?\nAnswer: 10818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 + 1 - (-8 + (-14 - -3))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 160068 in -0.5, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 12, -2\/13.\nAnswer: -28, -2\/13, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 5:08 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*i**3 + 47*i**3 + 19*i - 3*i to the form l*i + f*i**3 + a + h*i**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15363 and 260280.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqqnqnnqnqnnnnnn. Give prob of sequence nqnn.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 - 168. Let f = s + 165. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 352992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/8, 0.078, 14, 5 in increasing order.\nAnswer: -2, -3\/8, 0.078, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7811429958.\nAnswer: 2, 3, 283, 1533457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 3*r**2 + 24*r + 45. Let m be f(-2). What is the highest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1\/3 (c) 0.05 (d) -8\/5 (e) 5\/42 (f) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -227 + (6 - (1 + 0)). Let y be 4\/(-14) + (-1)\/42*d. Suppose 5*f + 1 = -4, -4*f - 124 = -5*p. Solve 2*k - h - 3*h + p = 0, -y*k - 5*h + 15 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p = -2*r - 170, -p + 4*r - 110 = 0. Let m = -2629 - -59029. Let k be m\/9*p\/(-4). Round k to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -y + 13. Let x = y + -19. Suppose -4*i = -x*i - 238. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a7da760 - -8?\nAnswer: -a7da756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:59 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 694, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) - (-9)\/4. Which is greater: w or 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 2 + 1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**(-21)\/(l**(2\/23)*l**(-14\/3)*l*l))**(-30) assuming l is positive.\nAnswer: l**(-11440\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*g - 26 = 0, 7556*g = -5*j + 7551*g - 70 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 241 (b) 1\/7 (c) -2 (d) -3 (e) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 10*l - 7*l. Let m(i) = 44*i**2 - 9*i - 5. Is m(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421423 (base 6) to base 16.\nAnswer: 8517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -1\/4*l**4 + 2*l**2 + 0 + 1\/60*l**5 + 0*l**3 + 0*l. What is the second derivative of d(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let j(u) = -3*u. Let m(i) = -j(i) - 5*o(i). Let a be m(-2). Suppose 0 = 3*d - 2*d - a. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**4 - 624*a**3 - 4860*a**2 - 12048*a - 9600 = 0.\nAnswer: -200, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 11:46 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -7*s - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91193 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(245) - (sqrt(245) + sqrt(245) + 1 + 0)) + -5 + 1)**2.\nAnswer: 280*sqrt(5) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -207, -1.1, 3, 5\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0984 times 7525?\nAnswer: -740.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4105, 4124, 4179, 4288, 4469?\nAnswer: 4740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -372, -760, -1160, -1572, -1996, -2432, -2880?\n\"Answer: -6*m**2 - 370*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1098 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2\/5 + 2024*l = 0. What is l?\nAnswer: -2530, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -850.9108 to the nearest 10.\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/119 + (-94)\/(-14) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -33. Let o = -58 + 48. Let c = o - u. What is the smallest common multiple of c and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10206.396 and 29.\nAnswer: 295985.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.826 - -0.174. Sort 4, -0.1, h.\nAnswer: -0.1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -60, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 886 and -0.1167.\nAnswer: -103.3962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m*r**5 - 99*m*r**2 - 16415*r**5 - 100*r**2 wrt r.\nAnswer: -120*m*r**2 - 984900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 6 = -4*m, -30 = -2*f - 180*m + 356*m - 181*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977685978?\nAnswer: 2, 3, 23, 137, 51713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-26) + (-96)\/(-52). Suppose -1 = -f - 3*r + g, f = -r + 3. Solve f*y + 15 = -2*y + 2*a, 4*a - 3 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 7:34 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3421.\nAnswer: 1\/3421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 510086951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 18*k**4 - 18*k**3 + 5*k**2 + 4*k + 7499. Let l(p) = 37*p**4 - 33*p**3 + 10*p**2 + 7*p + 15000. Let z(g) = 6*l(g) - 11*v(g). Differentiate z(x) wrt x.\nAnswer: 96*x**3 + 10*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 2)*(0 - 2). Let w be 0\/((-3)\/6*z). Suppose 32 = 4*p - w*p - 3*a, 5*a + 15 = -p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12538\/7 - 1796. What is the common denominator of 17\/9 and a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (0 - -2)\/((-6)\/(-585))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 235523 + 4?\nAnswer: 235527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -98, -98, -100, -104, -110, -118?\n\"Answer: -n**2 + 3*n - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 102. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-76)\/(-95)*1310\/4. Find the first derivative of 292*n**2 + 18*n - 18*n - u*n**2 - 20 wrt n.\nAnswer: 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 264ba - a5?\nAnswer: 26415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277250 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {t: 7, l: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = 27311 - 689. Which is bigger: k or -987?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -19. Let h = -1186 - -1190. Suppose -4*f + 5*t + 41 = 0, 2*t - 35 = -h*f + z. What is the highest common divisor of 112 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4429 + 65869458.\nAnswer: 65865029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -15*(0 + (-1)\/(-3)). Let y = 0 - c. Solve -k + y*k - 16 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h - 24. Let j be n(-25). Let c = -85 + j. Solve -3*t - t - 2*b - c = 0, -5*t = -5*b + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -18. Let u be 6\/33 - 994\/22. Let h be u\/(-18) + 2\/4. Solve p = s - 1 - h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 24*m**2 - 25*m - 31. Let t be r(-23). Solve 4*a = -s - 2*s - t, -5*a + 3*s - 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 35. Solve 0 = m + s*r - 20, 5*m - 4*r + 12 = -r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 10:41 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 15485 + 39174. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6806878 divided by -26.\nAnswer: -261803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -0.59?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 555 = -2*m. Is -2 - m - (-3 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 199044356.8 - 3777169.8. Let q = b + -195267187.80000081. Let s = -0.8 - q. Round s to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264704, -264719, -264754, -264815, -264908, -265039, -265214?\nAnswer: -265439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52579 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*d - 11 + 23, -3*w - d = -12. Solve -w*p + 16*p = 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 + 15*i + 10. Let o(u) = -16*u + 9*u**2 - 9*u + 4*u - 22 - 8*u. Let z(q) = -4*o(q) - 7*p(q). Determine z(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -8. Solve 1 = i - c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12469 or -9952?\nAnswer: -12469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5*666\/1480*(-8)\/63\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w = -2, -3*g - 4*w + 58 = 0. Let r = -17 + g. Suppose -5*q + 3*m - 5*m = -31, 5*m + 5 = 4*q. Solve q*t = -l - l - r, t = -1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**40*m*m*m)\/m*m**(-21\/5))\/(m*m\/((m*m*m**(-2))\/m)*m*m)**(-2\/89) assuming m is positive.\nAnswer: m**(16871\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/2800 and -9\/1120?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.44 - 0.06. Let h = -115 + 127. Let r be h\/9*9\/15*-1. Sort c, r, 0.3 in descending order.\nAnswer: 0.3, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 2\/3*d**3 - 3 + 0*d + 0*d**2. Factor b(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, and 2 b when four letters picked without replacement from {n: 4, j: 2, b: 3, z: 5, w: 5}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2.77, -11369 in increasing order.\nAnswer: -11369, -2.77, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s + 8 = 0. Let u(f) = -f**2 - 12*f - 34. Let h be u(-5). Does s = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n - 10. Calculate a(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3875 + 6?\nAnswer: -386e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbcjcmrbcr. Give prob of picking 1 j and 1 r.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69, -51, -33, -15, 3?\n\"Answer: 18*i - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 - 101. Solve 2 - t = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 4. Let h be d(8). Let u = h - 4. Calculate the smallest common multiple of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -4?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4141 - 1489 + 1693 = 79*a for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386 + 15*b - 4*b - 9*b.\nAnswer: 2*b - 386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236260 by 47252.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1305 divided by 137\nAnswer: -1305\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*c**3*l**3 - 8*c**3 - 90*c - 40*l**3 with respect to l.\nAnswer: -57*c**3*l**2 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632 is divided by 100.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/6)\/((-8)\/(-48)). Suppose 9*u = 5*u + 8. Let q be 1 + 58 + u + -5. Solve -2*n = 4*c + 30, 4*n = -4*c + z - q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -69*m - 79. What is q(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 576\/(-1680)*(-14)\/3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*r + 71 = 0, -3*r = -4*s - 210 + 440. Which is smaller: 54 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Let m = -10 - k. What is the units digit of (2 - (5 - 2))*m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(80)*-2 + 4*(sqrt(5) + -3))**2.\nAnswer: 64*sqrt(5) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 104345*m**3 + 5*m - 3 + 3 - 104357*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*y - 4*n, 5*y + 5*n - 22 - 43 = 0. Solve d - y = g + 4*d, g - 2*d - 7 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6003.93 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 3*g**2 + 2*g + 2. Let t = 18 - 15. Calculate d(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by (3\/(-2))\/((-45)\/120)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0051501515 rounded to five decimal places?\nAnswer: -0.00515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.3613 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 8) to base 13\nAnswer: -13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 431782.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -28.627 * -0.9\nAnswer: 25.7643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290144354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2, -11039, -3.\nAnswer: -11039, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141186001 to the nearest integer?\nAnswer: 11882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*w + 22 = 0, -l + 2*w - 17 + 26 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - n - 3 = 5, -2*v = 3*n. Suppose 6*x - 15 = v. What is the third derivative of 5*k**x + 9*k**2 - 5*k**3 - 5*k**4 + 13*k**4 wrt k?\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.205? (a) 2 (b) -8 (c) 47 (d) 0 (e) 7\/3 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xhhxxxhxxxxhxxxxxxxx?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*a + 439*a + 199*a.\nAnswer: 257*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 4*(sqrt(12) + sqrt(48)) + sqrt(12))\/(1*sqrt(600)).\nAnswer: 7*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = -2*w, 5 = 4*w - 3*w - f. Calculate the smallest common multiple of 14 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + j + 353 = 0, 3*q + 5*j + 77 = -0*j + 250 for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w + 1. What is the highest common divisor of 7 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 4*t**2 - 4*t**2. Let y(u) be the third derivative of 1\/8*u**4 + 0*u**3 + 0 + 4*u**2 + 0*u. Determine b(y(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43660494.\nAnswer: 2, 3, 107, 22669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -5.3 (c) 86 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 0.1 (b) 0 (c) -177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1398 bigger than -1396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-44)\/(-15)*(-27)\/18*-40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 3*z - 4. Let q be t(5). Suppose -5*i = -2*h + 10, -i - q = 3*h + 2*i. Solve h = -5*w - 0 + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 20 = -22*m. Solve m*s + 9 = -7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -7 (b) 1\/5 (c) 1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41981 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16816655290105 and -3.\nAnswer: -16816655290108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-873)\/9506*(-8)\/18.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 19*g - 59. Give w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27325669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137*m**2 + 656*m**2 + 1229*m**2)*(0*m**3 + 0*m**3 - m**3) - m**5 - m**5 + 3*m**5 + (m**2 - 2*m**5 - m**2)*(-2 + 1 - 1) + 0*m**5 - 2*m**5 + 3*m**5.\nAnswer: -2016*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 128*k**2 + 5983. Let l(g) = 36*g. Calculate l(n(t)).\nAnswer: 4608*t**2 + 215388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r - 5. Let b(j) be the third derivative of -3*j**4\/8 + 2*j**3\/3 - 67*j**2. Determine -4*b(f) - 3*w(f).\nAnswer: 6*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63588430 rounded to the nearest 1000000?\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -220*y + 439. Let z be l(2). Which is the nearest to 2\/9? (a) -2 (b) 3 (c) z (d) 1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315561 - -315564. Factor 0*a + 26\/3*a**j - 16\/3*a**4 + 0 + 2\/3*a**5 - 4*a**2.\nAnswer: 2*a**2*(a - 6)*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 100*v**3 + 2*v**2 - v - 1. Suppose 5*u = 615 - 200. Let s = -82 + u. What are the prime factors of j(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 2*z**2 + 3*z + 1. Let s(q) = 2*q - 24. Let c be s(11). Give m(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.131.\nAnswer: 0.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 + 4*w**2 + 77 + 79 - 516 - 2*w**2 + 86.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7)*23674\/(-356)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -391731\/2959 + -214\/269. Let z = s - -133. Which is the second biggest value? (a) z (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 86*a**2 + 2*a. Let n be h(-2). List the prime factors of (n\/35)\/((-2)\/(-7)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22390 and 89560?\nAnswer: 89560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**30)**(-22)*(q\/(q\/(q\/q**12)))**(1\/41) assuming q is positive.\nAnswer: q**(26147\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51478725.\nAnswer: 3, 5, 211, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 7. Let x = 0 - g. Suppose r + 2*t = 3*t, -4*r - t = -10. Solve -r*f + 20 = x*j + 3*j, j = 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.86 + 0.8. Let y = n - 0.34. Let i = -2363 - -2360. Which is the closest to 0.02? (a) 1 (b) y (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 5*o - 1. Let b be a(3). Suppose -2*q + 4*q - 78 = 0. What is the third derivative of -2*j**6 + 39 - 4*j**b + 2*j**2 - q wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22788.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m - 25 = 0. What is the remainder when 18 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q - 4*q. Suppose m - 5*a - 4335 = q, -3*m + 3434 = 5*a - 9631. Round m to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (69*n - 23*n + 24*n)*(-1 + 2 - 2) as s + v*n and give v.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 3:00 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 325541514 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -19*m**2 - 2*m = 0.\nAnswer: -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 2115.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1546, 1935, 2622, 3643, 5034, 6831, 9070?\nAnswer: 11787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(48\/27) - (-6)\/(-4). Suppose s*p - 3062 = 2*p + 2*d, -4*p - 2*d + 12288 = 0. Suppose -p = -4*a + v + 322, -5*v = -20. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let o(h) = -956*h**2 + 166*h - 5. What is n(o(u))?\nAnswer: -1912*u**2 + 332*u - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -702428*t + 6321861. Determine q(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 10:12 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.34 (b) -1.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -7*w + 6*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-12)*(-11)\/(-11).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**2\/2 + 1820. Let p(a) = 3686*a. Determine p(n(b)).\nAnswer: 3686*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*96\/1080?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3500 and 61\/700.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1347 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -6)\/(-3)*-67. Let f = 114 - s. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1 = 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(76) + (sqrt(76) - -4*sqrt(76))*-6)**2*-1*-5.\nAnswer: 670320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(117)\/sqrt(144) + -3*-2*sqrt(117).\nAnswer: 37*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*a - 1 = -6, 5*a = y - 1. Suppose -y + 4 = 3*v. Let m be 1 - (2 + -2 + v). Solve m = -2*w + 5*t + 17, -3*w = -t + 9 - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110 + 1000?\nAnswer: 1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -20*j**7\/21 + j**4 - 73*j**3 + j**2\/2 + 1642*j. Find the second derivative of n(f) wrt f.\nAnswer: -800*f**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 + u**2 - 3. Let j = -4616 + 4614. Let h(q) = -3*q**3 + 2. Let f be 12\/9 + (-26)\/6. Determine f*h(g) + j*o(g).\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -32, 1, 2 in increasing order.\nAnswer: -32, 1, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 2*g - 25 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 140\/84 + 738422630\/6. Suppose 5*a = -18429560 - j. Round a to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 200211110121020?\nAnswer: 200211110121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2642\/4599 + 2\/657. Let y = 113 - 111. What is the closest to -0.1 in y, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3431, -152.8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5725.4, 0.4, -1\/4 in increasing order.\nAnswer: -5725.4, -1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -5.5. Let i = -87.61 - -82.5. Let p = i + t. Round p to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/225 and 41\/150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-7) + 110\/(-154))*0. Solve h + 4*o - 18 = k, 3*h = -2*h - 5*o + 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23598346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67406, 67644, 67880, 68114, 68346?\nAnswer: 68576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/73 and 47\/6.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9 + 0.1. Let z = -4.11 + -0.09. Let n = z - 1.8. Sort 0.3, n, i.\nAnswer: n, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63 * 3.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 4. Suppose x - 42 = -i. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1845*b**3 - 2830*b**3 + 2145 - 2145.\nAnswer: -985*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/3)\/(4\/(-6)). Suppose 2*c + y + 28 = 0, -y - v + 19 = -c. Is 6\/c - 314\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*i + 4*t, -4*i + 2*t - 63458 = -63446 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5 - 1. Suppose r*u - 4 = 4*u. Let p(o) = -o**2 + 3*o - 3. Let z(c) = c**2 + c + 1. Let f(y) = p(y) + 2*z(y). Determine f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-4))\/(52353\/9972))\/((-15)\/(-252)).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m - 4*m + 2*m + 3 - 3 + (3 + 2 - 3)*(-6*m + 3*m + m))*(-44*m + 21*m - 82 + 16*m).\nAnswer: 28*m**2 + 328*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 336231 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -0.2771699932?\nAnswer: -2.7228300068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -371, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 8:08 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 4*g. Let l be f(-4). Suppose 0*w + l = 4*w. What is the second derivative of 2 - h**w - h - 2 wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106082.1*-8.7\nAnswer: -922914.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21013 from -8.8.\nAnswer: 21004.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145023144 - 0?\nAnswer: 145023144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -22. Suppose 3*z = -2*c + w - 2, c + 3*z = 2. What is the third derivative of 10*t**3 + 7*t**2 + t**3 + 10*t**c + t**2 wrt t?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + k**3 + 3)*(-2 + 3 - 3).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**2 + 6*n**2 + 5*n**2)*(-39 - 40 + 80 + 5*n).\nAnswer: 20*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (10 + (-28 - -5) - -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - (-12 - (-3 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75438, -74972, -74506?\nAnswer: -74040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22847409 or -22847406?\nAnswer: -22847409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5142 (base 8) in base 11?\nAnswer: 1aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.3 - 2.8. Which is the fourth biggest value? (a) 4 (b) t (c) 1 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 9*o = -5*y + 59, 0 = -2*o + 12. Solve y*w - 5 = -18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -717.9 rounded to the nearest 10?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(-1\/2))\/q**6*q**(-2\/3)\/(q*q*q\/q**5*q*q))**(-33) assuming q is positive.\nAnswer: q**(209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -146504 divided by 4?\nAnswer: -36626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - 1110?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0 = 5*t + 3, 5*k = 4*t - 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14459191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(22\/(-60))*-43*140\/9030?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -47. Solve -3*i - 4 = u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1896462 + 1896459.015299. Let f = c - -2.986. What is f rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17731 is divided by 5887.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15b2 (base 13) to base 14.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(42) + 3*sqrt(1512))*-2)\/(sqrt(6) - 2*sqrt(96) - sqrt(6) - sqrt(24)*-5).\nAnswer: -19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 726368911*k + 577720535?\nAnswer: 726368911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40635 and 420?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Let u = 0.2535 - 0.0535. Sort 2, -3, u, z in descending order.\nAnswer: z, 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160619*z**2 + 1478159*z?\nAnswer: 321238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*d**2*u**3 - d*u**2 - 22*u**3 with respect to d.\nAnswer: 70*d*u**3 - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 0*h + 3*h)*(22*h + 32*h + 14*h)*(4 - 1 + 7) in the form a + p*h + f*h**2 and give f.\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178089239, -356178481, -534267723, -712356965, -890446207?\nAnswer: -1068535449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -10.4, 43, 11, -0.5 in decreasing order.\nAnswer: 43, 11, 0.2, -0.5, -10.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -14 (c) -1\/4 (d) 1 (e) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l - 34. Let u be j(15). Suppose -u*w + 53*w + 1026 = 0. Let i = w + -237. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 33*l**3 + 11611*l**2 - 1756*l + 1107. Calculate v(-352).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9402, 1 in decreasing order.\nAnswer: 9402, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 93 = -o, -3*o - 418 = -5*b + 7. Let r be b\/3 - (-2)\/(-6). Let z be (-9)\/6 + r\/14. Is 1 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-63)\/35*-20*3. Is -92*(-5 - i\/16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7\/3*f**4 + 8 + 82\/3*f + 101\/3*f**2 + 17*f**3 - 1\/3*f**5 = 0 for f.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4615.\nAnswer: 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:57 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 1, t: 2, g: 2, w: 1}. What is prob of sequence mw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -77 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**3 - 4*y**2 + 8*y**3 - 2*y**3.\nAnswer: 15*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.285, -179, 2.\nAnswer: -179, -2, -0.285, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*m + 5*m. Which is the third smallest value? (a) m (b) -0.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101453309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 393776 - 7108411\/18. Let o = -3395\/3 - a. What is the common denominator of o and -109\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.395 or -1.4791?\nAnswer: -0.395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004556 to 4 dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 7*b**2\/2 + 5*b + 12. Let h(y) = y + 1. Let o(a) = 5*h(a) - j(a). Let c(n) = -11*n + 21*n - 13*n. Determine c(o(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8309 + 2?\nAnswer: -8307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*a - 6 - 14, u + a - 24 = 0. Let q be (-8)\/(-5) + (-15)\/u. Let m be (45\/(-30))\/(2\/(-12)). Calculate the greatest common divisor of q and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 6:40 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1479 * 1632\nAnswer: -2413728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1282.\nAnswer: -5\/1282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 5*z**3\/6 - z**2\/2 + 111*z + 4. Determine i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - b - 18791 = 10593, 0 = 2*p - 3*b - 11751. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -417, -643, -881?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + u**2 - u + 94. What is the units digit of p(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442697 is divided by 4974.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, o: 3}. Give prob of picking 2 o and 1 s.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 + -19. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (-12 + 12) - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -3. Let z(y) = -3*y + 24. Let s be z(9). Put v, -2, s in decreasing order.\nAnswer: -2, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttffttfftffftftf. What is prob of picking 3 f?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36820651\/1838 + -20033. Let k = -82689\/12866 + f. Calculate the common denominator of k and 1 - (0 + (-86)\/(-16)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56397 or 56394?\nAnswer: 56394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o - 5. Suppose -4*k - 2*p - p - 37 = 0, -5*k = 3*p + 50. Let i(x) = 14 + 5 + 0 - 8*x - 8 - 8*x. What is k*d(y) - 6*i(y)?\nAnswer: -8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 + 0 - -56) + -56?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3533 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = h + 2, 2*z = -h + 8 - 4. Suppose 5*o = -5*d + z + 29, -5*d - o = -34. Solve -d = -2*v + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 4*o**2 - 3. Let v be s(3). Let n be (-1 - (-18)\/24) + 13\/4. Suppose -p + 4*w = 4, n*p = 4*w - 0*w + 4. Solve d = p*d - v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5704, -11989, -18276, -24565, -30856, -37149?\n\"Answer: -k**2 - 6282*k + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52716 divided by 6.\nAnswer: 8786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33632\/305 greater than 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 61, 1, 2, 320.\nAnswer: -9, 1, 2, 61, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**3 + 18*k**3 - 19*k**3.\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i**5 + 528*i**4 - 4335*i**3 + 8610*i**2 - 4056*i - 768 = 0. What is i?\nAnswer: -32, -1\/7, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 258*k**5 - 19*k**2 - 8*k.\nAnswer: 15480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1, -1, 0.04 in increasing order.\nAnswer: -1, -2\/5, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15615910998309 and 5.\nAnswer: -15615910998304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2.4 (b) -9 (c) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x = 774 - 341 - 328. Solve 2*g = -4*s + 12, x*s - 13*g = -16*g + 18 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 58*h**2 + 76*h**2 - 134*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 1\/9 (c) 0.037 (d) 2\/5 (e) 0.274 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -41*o**3 + 79*o**2 + 42*o - 5903. Let w(k) = -6*k**3 + 11*k**2 + 6*k - 844. Let q(f) = 4*t(f) - 29*w(f). Differentiate q(y) wrt y.\nAnswer: 30*y**2 - 6*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133.7 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.4 + 6. Let d = 3924 - 3747.1. Let x = d - 177. What is the third smallest value in c, 2, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + r**2 + r. Let d(y) be the third derivative of -y**6\/30 - y**5\/20 - y**4\/6 + y**3\/3 - 98*y**2 - 2*y + 2. Calculate d(u) + 2*i(u).\nAnswer: -2*u**3 - u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 1637?\nAnswer: -1639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2247 - 2215. What is the least common multiple of 28 and z?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 + -99?\nAnswer: -be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4771095 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17897587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11083 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/21 + (-206)\/168?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 2*b. Let u be k(-3). Let f = 6 - u. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -15. What is the third biggest value in b, 2, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1143299, 1143453, 1143709, 1144067, 1144527?\n\"Answer: 51*k**2 + k + 1143247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 3*g**4\/2 + 40*g - 25. What is the first derivative of l(b) wrt b?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/7 + (-11375)\/(-6125).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**5\/60 - f**4\/3 - 8*f**3\/3 + 22*f**2. Let g be t(-5). Is -1 - -4 - (-4 + 76)*g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-290)\/(-87)*(72\/10)\/3. Solve -2*b - 18 = -d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30869\/1564 + 5\/391. Find the common denominator of a and 31\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2267213*f**3 - 2*f + 1259571.\nAnswer: 13603278*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6714.8 - 6715. Let z = -19 - -19.1. Which is the third smallest value? (a) z (b) k (c) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-2*g - 3*g + 3*g)*(4*g + 0*g - 5*g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4*(sqrt(2448) - ((sqrt(2448) - sqrt(2448)*-2) + 3) - sqrt(2448)))**2 + (6*(-2*sqrt(2448) + 5 + sqrt(2448)))**2) + -1.\nAnswer: -1325053 + 2592*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(117) - 3*sqrt(117) - sqrt(117)).\nAnswer: -54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, -1, 6\/18865 in decreasing order.\nAnswer: 6\/18865, -1, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*l + l, 0 = -4*s - 20. Suppose -2*f + 43 = 3*q, -q + 2*f - 11 = -28. Solve l*w + i + q = 0, 3*w + 18 + 7 = 2*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 109168652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 f when three letters picked without replacement from {s: 4, f: 3, i: 6, w: 4, m: 1, k: 1}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n\/(n\/(n*n\/n**(7\/8)))*n))\/n)\/n**(2\/29)*n**(1\/48)\/((n\/((n\/((n\/(n*n**(2\/3)))\/n*n))\/n))\/n))**(-5\/6) assuming n is positive.\nAnswer: n**(1175\/2784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 346 + 15615614?\nAnswer: 15616263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 divided by 4?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -24*j + 32*j. Solve -j*q - 25 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:11 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4088 = 2*l, l = 3*l - t - 4076. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3946 is divided by 3789.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -259 + 10?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 673025*((-84)\/(-35))\/((-4)\/((-120)\/9)). What is p rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 13*h**3\/3 - 9*h**2\/2 - 9*h - 809. Let p(x) = x + 1. Determine 2*g(u) + 18*p(u).\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176 - 277 - 2*b + 6*b**2 - 43.\nAnswer: 6*b**2 - 2*b - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*o**4 + 110*o**3 + 85*o**2 + 20*o = 0. What is o?\nAnswer: -1, -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 438937325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*h**2 + 36*h**2 + 611*h**3 - 261*h**3 - 348*h**3 + 31*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5\/3, 2\/7, -5, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, 187 in increasing order.\nAnswer: -3, 12, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-6)\/48)\/(33\/44)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 161, 377, 681, 1073?\nAnswer: 1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 - s**4 + 6*s**4 + (3 - 2 + 0 + (-4 + 5 + 0)*(1 + 2 - 2) - 1 - 4 + 7)*(-186*s**4 + 6*s**4 - 140*s**4).\nAnswer: -1277*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*w**3 + a*w**2 - 4*a*w + 1388*a + 254328*w**3 + w**2 - 85*w - 1 wrt w.\nAnswer: 12*a*w + 2*a + 1525968*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/2778440 and 52\/35.\nAnswer: 2778440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 718 + -513. What is the remainder when m is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y**3 + 11*y**2 + 15*y + 3. Calculate v(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*p + 2*r, -3*p = -2*r + 25 - 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1562*n**2 + 2*n. Let m be b(4). What is m rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 - -17. Let t = 388 - r. Suppose 2*s = -3*a + 182, 0*a = 2*s - 4*a - t. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -0.101.\nAnswer: 4.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10251292?\nAnswer: 2, 1423, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2 - 0 - 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 61*x**2 - 212*x + 923. Let q be b(-57). Let a(t) = -t**3 + 11*t**2 - 13*t + 25. What is a(q)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4040, -3575, -2314, 139, 4180, 10205?\n\"Answer: 66*p**3 + 2*p**2 - 3*p - 4105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1533.48.\nAnswer: -306.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194145916 by 97072958.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from {m: 1, p: 4, h: 2, f: 1, j: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1200 - 111103121?\nAnswer: -111101321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.366402 - 2.1?\nAnswer: 11.266402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/3 - 7*z**2\/2 - 2*z + 18. Calculate b(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r + 4. Let p(g) = 19*g**2 - 15*g**2 - 20*g**r. Let l(w) = -w**2. Calculate p(l(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121598 and 1865.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10604684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6. Solve 2*s = -z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0275 + -0.02212. Round k to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, 0.1, 3\/4, 1\/17, -1\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odb when three letters picked without replacement from {b: 2, r: 4, d: 4, l: 3, o: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 2232 + 0 = 0. Let a = y + 126. Suppose 3*l = 2*f + 757, -f = a*f + 6. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 1 = -12*j + 11*j, 4*j - 4 = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33596164 divided by 64484?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -51*h**2\/2 - 53*h - 3218. Give w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7 - 4 + 252*j - 251*j. Let z(w) be the first derivative of -9 + w + 0*w + 23 - 2. Calculate -2*u(a) + 5*z(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 3*q**3 - q**3 + 3*q**3 + 239 - 150. Let g = -1 + 1. Is z(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 0.741, -10\/23, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1435?\nAnswer: 1\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -56, -38, 0, 64, 160, 294?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2966.826s?\nAnswer: 49.4471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 23837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**5\/20 + 5*p**2. Let c(t) = -2*t. Give c(u(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4433*i + 474313. What is b(-107)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmx when three letters picked without replacement from {x: 4, u: 2, m: 2, p: 3}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-31)*t**4*t**(-2\/5)*((((t\/(t\/(t*(t\/(t**3\/t*t))\/t*t)))\/t)\/t)\/((t*t**(6\/7))\/t*t))\/((t\/t**6)\/(t*t\/(t**(-4)\/t))) assuming t is positive.\nAnswer: t**(-709\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + ((-396)\/(-6))\/(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 856 - -7608. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 22. Let y(r) = r**2 + 3*r - 3. Calculate y(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**5\/2 - a**4\/2 + 7*a**3 + 14*a**2 - 4*a - 16 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 855.2? (a) 0.2 (b) -1\/4 (c) -5 (d) -1836\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n**3 + 9*n**2 - 3*n - 3. Let s(m) = -m + 0*m + 1 - 2 + 4*m**2 - 4*m**3. Let l(z) = 7*s(z) - 3*u(z). What is the tens digit of l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from wwwbbgwwggwwmmgggg?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2\/(-1*318)). Calculate the common denominator of 5\/(-20) - m\/(-4) and -41\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 11*n. Let p(h) = h**2 - 4*h. Let y(g) = -4*a(g) + 11*p(g). Let d(k) = -2*k**2 + k**2 - k**2. Determine y(d(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1122*g**2*w**2 - 4998*g**2*w + 11*g**2 - 89*w**3 + 123 wrt w?\nAnswer: -2244*g**2 - 534*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 912 = -3640. Let x = m - 461. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7476.7*-0.027.\nAnswer: -201.8709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -25*b**2 + 35*b - 60. Let l(c) = 29*c**2 - 34*c + 60. Let v(q) = 5*l(q) + 6*z(q). Factor v(g).\nAnswer: -5*(g - 6)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*w + 195 = -87*w. Suppose -434 - 294 = 4*b. Calculate the least common multiple of (-52)\/b - (-229)\/7 and w.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (123\/(-164))\/(6\/(-63944)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 m when four letters picked without replacement from {m: 7, x: 8, f: 3}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 33*w**2 - 25*w + 21. Calculate l(17).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 1, q: 2, b: 1, u: 6}. Give prob of picking 1 q and 1 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, v: 2, z: 1, k: 6}. Give prob of picking 1 z and 3 r.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -729*b + 200. Is i(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 7*l + 7. Suppose a = -17 + 4. Let b = a - -8. Determine z(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - k + 4. Let u(y) = -y - 6 + 12*y**k + 5*y + y**3 + 0. Calculate the remainder when u(-11) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**6\/3 - 3*s**4\/2 + 4*s**3\/3 + 5. Factor k(i).\nAnswer: 2*i**2*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 17, -22, -5, 1, 75 in increasing order.\nAnswer: -22, -5, -4, 1, 2, 17, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 1 (c) 0.4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 449368.351 to the nearest 1000.\nAnswer: 449000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 954*l = 974*l - 365300. Is 65 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 5*a + 5. Let n be m(2). Differentiate -n*x + x**2 + 7 - 5*x + 8*x with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 2*z**7\/21 + 49*z**6\/15 - 19*z**4\/6 - 2*z**3 + 1588*z. Find the third derivative of i(f) wrt f.\nAnswer: 240*f**2 + 2352*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = -4*j, 7*s - 25 = -2*j + 2*s. Let t = -12 - -18. Suppose b + j*b = t. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. Suppose 5*s - 3*m = 37, 2*s = s - 4*m - 11. Suppose s = k + y*k. Is 2\/17 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = -4*h + 4, 2*c + 5*h = 2. Suppose 0 = 4*t - 4. Let d be (0 + 0 + t)*9. Calculate the greatest common divisor of c and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210221212 (base 4) to base 3.\nAnswer: 21121220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199755*u + 400235*u - 200515*u.\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1822095391?\nAnswer: 41, 4583, 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 583, 886, 1839, 3766, 6991?\n\"Answer: 54*d**3 + d**2 - 78*d + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 26 = 5*h, 0 = -h - 4*h + z + 24. Suppose -h*c - d - 1 + 2 = 0, 5*c - 4 = -4*d. Suppose c = 2*r - 1 - 11. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4*m - 64*f**4 + 2*f**3*m + 2*f*m - 2*f - 75*m wrt f.\nAnswer: 12*f**2*m - 768*f**2 + 12*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.794177429 rounded to two decimal places?\nAnswer: 3.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11250709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879778125.\nAnswer: 3, 5, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-u + u - 2*u)*(0*u - 4*u + 2*u) + u - u + 2*u**2)*(225 + 136*u + 128*u - 270*u) in the form w*u**2 + b*u + j*u**3 + h and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 15*l**3 + 5*l**2 - 10*l - 1. Let b(g) = 7*g**3 + 2*g**2 - 5*g. Let r(y) = -13*b(y) + 6*v(y). Calculate r(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.587 - 0.397. Which is the closest to l? (a) 5\/3 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-14)\/(-8)*270\/35).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.4 + -0.6. Let t = -0.02 + 7.52. Let p = t + g. What is the second biggest value in 4, -3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27086*w - 30016 wrt w?\nAnswer: -27086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2. Let n(g) = 5*g + 4. Let z(h) = 2*h - 1. Let b(t) = -n(t) - 4*z(t). Calculate s(b(i)).\nAnswer: -169*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.605 * 0.3.\nAnswer: -0.1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-420))\/((-12)\/(-42)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/141 - 2236\/705. What is the common denominator of -42\/17 and v?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - h - 1. Let v be k(-1). Suppose v*s = -s. Solve -2*z + 5*q + 19 = s, -3*q = 2 + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*v**2 - 3\/2*v + 1\/2 - 1\/2*v**3.\nAnswer: -(v - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/12 - 3*x**3 + 46*x**2 + 90*x. Let o be v(9). Solve -9*d - o - 7 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) -13 (c) -3575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 389434.4 meters?\nAnswer: 389434400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5*(sqrt(405) + 4) - sqrt(405) - sqrt(405) - (-6*(-4 + sqrt(405)) - sqrt(405)))*-6)**2.\nAnswer: -25920*sqrt(5) + 1458579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 + -563\/5. Let q(h) be the second derivative of 0*h**2 - 9*h - 3\/2*h**3 + 0*h**4 - o*h**5 + 0. What is the second derivative of q(k) wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1416 (base 7) in base 8?\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) 88 (b) 0.1 (c) 0.2 (d) -3 (e) 1\/45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.34 - -0.06. Let w = -24925 - -24923. What is the nearest to -1 in x, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170 - 121. Suppose -2*h = 4*k - 39 - l, 123 = 2*h - 3*k. Is 27 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3727?\nAnswer: 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(759\/45 - 12\/(-90)). Solve -6*b = -c*b + 55 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**4 - 10*o**2 - 6*o - 1. Let s(x) = -x**3 - x**2 - x - 1. Let w(c) = -k(c) + 3*s(c). What is p in w(p) = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p**(2\/7)*p*p)\/p))\/p)**26)**(-2\/13) assuming p is positive.\nAnswer: p**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 + 0 + 0)*(-27 - 12*s + 44 + 97) to c + r*s**2 + w*s**3 + v*s and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 104 divided by -4\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q + 18 + 108 = 242 + 94 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.1662 - 0.2338. Sort -2, a, 34 in decreasing order.\nAnswer: 34, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwmmmiwwwiwmwi. What is prob of picking 1 m and 1 i?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2495 - -13474. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1669 + 2116291\/1268. Is i less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -674.\nAnswer: -3\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = 6. Let r(m) = -1 + 4*m - 9*m + u*m. What are the prime factors of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266 (base 10) to base 4.\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 5288*l - 1747684.\nAnswer: -4*(l + 661)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1521*s**4*y + 8*s**3*y**3 - 8*y**3 + 27*y**2 - 4*y wrt s.\nAnswer: -6084*s**3*y + 24*s**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v*v\/(v**(-2\/7)*v)))\/v)\/v*v\/v**(1\/7)*v*v**(-4)\/v**(1\/3))\/(((v*v**(1\/10))\/v*v\/v**(-1\/3))\/(v**(-3)\/(v*(v\/v**(-1\/3))\/v))) assuming v is positive.\nAnswer: v**(-667\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m + 1178 - 1217. Let y(f) = 4*f**2 + 4*f + 17. Let i(z) = 2*z**2 + 2*z + 8. Calculate m*y(a) + 7*i(a).\nAnswer: 2*a**2 + 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:49 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52751 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 4:15 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-20))\/(2\/(-5)). Let w(o) = -2*o**3 + 31*o**2 - 17*o + 34. Let c be w(15). Solve -c*j + k = -18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - 29*i - 29. Is t(-11) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 + -0.7. Let h(z) = 2*z**2 + 15*z + 6. Let k be h(-7). Let a be -1*(k + 6\/4). Sort 2, j, a in ascending order.\nAnswer: j, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 3*i**5\/20 - 7*i**3\/6 - 7*i**2\/2 + 8*i. Let r(p) = -p**3 + 3*p + 3. What is 7*r(a) + 3*s(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.032, -0.1 in decreasing order.\nAnswer: -0.032, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 4:18 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3211.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419158636?\nAnswer: 2, 13, 599, 13457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:18 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 12:11 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -211031 and 3850126172.\nAnswer: 3849915141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**2 - 1\/12*m**4 + 0 + 2*m + 0*m**3. Let o(r) be the third derivative of -r**5\/60 - r**2. Calculate w(o(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhfrthtfhhthdtxftthr. What is prob of sequence htrf?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 509\/2 - 718\/3. Find the common denominator of -7\/12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 2. Let i be (-1 - p - 3)\/(-1). Let r be 1*((-12)\/9 + i). Which is the biggest value? (a) -1\/6 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5039700 rounded to the nearest ten thousand?\nAnswer: -5040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1397, -1291, -1113, -863?\n\"Answer: 36*y**2 - 2*y - 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2)*3\/1. Let r be ((-18)\/(-15))\/j*-10. Suppose -3*l - 27 + 11 = -5*c, l + 17 = r*c. Solve -2*m + 5 = -l*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 0.1704?\nAnswer: -0.11928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24104 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 85 + 1 - (-7601 + 7741)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 6*u - u - 2 + 2 - 2*u + (-4*u + 6*u - 4*u)*(-1 + 2 - 2) + 3*u - 2*u + 0*u - 6*u + 2*u + 2*u + (-2*u - 1 + 1)*(0 + 0 + 1).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 666653 (base 11) to base 2.\nAnswer: 100000011100000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6 = 0, 70*o - 71*o + 2*j + 3 - 4 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 + -2.13. Let t = -19 - o. Let p = t + 16. Which is the nearest to -4? (a) p (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + k**4 - 1 - 4*k**4 + k**4 + 4*k**4 + (-2*k**3 + k**3 + 3*k**3)*(1 - k - 1) - k**4 - k**3 + k**3 + 20*k - 2*k**4 - 20*k.\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.85402cm to nanometers.\nAnswer: 78540200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/330 - 17*m**4\/132 + 200*m**3\/33 + 2*m**2 + 6581*m. Factor g(a).\nAnswer: -2*(a - 8)*(a + 25)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -577 (base 12) to base 2\nAnswer: -1100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 1, 0.2, -1\/16582?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1)*(12 - (22 + -14))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332113031120 (base 4) in base 2?\nAnswer: -111110010111001101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4*u - 32 = 0, 7923*a = 7920*a - 4*u + 32 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0036173225 to 6 dps.\nAnswer: -0.003617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 = 13*r - 4*r + 6*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/15))**(-9\/4) assuming x is positive.\nAnswer: x**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u + 73*u - 223*u - 24 - 168*u - 62*u.\nAnswer: -368*u - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 47251*r - 2079040. Calculate u(44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a**2 - 3*a - 10. Suppose -d + 45 = 4*d. Let h = -9 + d. Let t(y) = y - 2*y + h*y**2 - 3*y**2 - 3. Give -4*l(f) + 14*t(f).\nAnswer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -520, -519, -504, -469, -408?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15005903?\nAnswer: 11, 157, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 603542 divided by 577\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2, -5*f + 2*q = -2*q - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 49. Let r = -5 - -10. What is the closest to 1 in q, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1162 - 1?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*h - 393 = 114*h - 3192 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkyd when four letters picked without replacement from kkkkkkdkkkkkkkkkky?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - -32. Let m be (-2)\/(-10) - (-238)\/z. Suppose -8 + 2 = -m*q. Solve 2*g + 7 = -t, t + g + 10 = -q*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 2*f - 3*f**3 - 4 - 4*f**2 + f**2 + 2*f**3. Let b be t(-3). Calculate the greatest common divisor of b and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15*w**2 + 161*w - 8. Let l be t(-11). Suppose -2*c + 228 = l*c. Calculate the greatest common factor of c and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 364 and 14?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 295.57 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 376, 152, 73 in increasing order.\nAnswer: -1, 4, 73, 152, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyaoooyoyoy. What is prob of picking 1 o, 2 y, and 1 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 46 = -2*y, -2*y - z = 3*z - 56. Suppose 4*t - 260 = -t. Suppose -3*u = -7*u + t. What is the remainder when y is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 12895 + 18245. Find the second derivative of 2588 + 66*q**3 - d + q + 41*q**3 wrt q.\nAnswer: 642*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -117\/7, 1\/33, -0.3, -1, 2\/15?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355633.\nAnswer: 355633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2335362*c**3 - 2343642*c**2 wrt c?\nAnswer: -14012172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272050338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddvddnddddndcn. What is prob of sequence cd?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 140891232 or 0.6?\nAnswer: 140891232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32867, 65737, 98609, 131483?\nAnswer: 164359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-8)\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -164, -161?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 196066, 196068, 196070, 196072, 196074?\n\"Answer: 2*r + 196064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 29228 (base 14) to base 8\nAnswer: 307104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -221, -7, -4, 4 in increasing order.\nAnswer: -221, -7, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1 minus 2981285.905?\nAnswer: -2981292.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 6*g**3 - g**3 + (2*g + 2*g - 2*g)*(-2*g**2 - 2*g**2 + 3*g**2) - 5*g**3 + 4*g**3 + 0*g**3 - 3*g**3 - 2*g**3 + 2*g**3 + g**2 - g**2 - 2*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwrrrwrwrwr. Give prob of picking 4 r.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18112*y + 18062*y = 1050 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b - -faefe?\nAnswer: fae93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/27 + (1 - 172\/(-900))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 351 - 245?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Let h be 30\/9 - r\/3. Let n be (-112)\/(-8)*3\/2. What is the greatest common factor of h and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 8 - (-8 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/30 - m**3\/15 - 2*m**2\/5 - m. Solve f(z) = 0 for z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.4 times -965.8\nAnswer: -8112.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.017 - -0.117. Which is the closest to p? (a) 0.4 (b) -17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 16. Let o = -5 + y. Let k(r) = r**3 - 3*r - 3. Calculate the remainder when k(3) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**2 + 15215*f - 166760 = 0. What is f?\nAnswer: 11, 3032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -671, 23, 12 in descending order.\nAnswer: 31, 23, 12, -671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/9, -3, -0.2, 273 in decreasing order.\nAnswer: 273, 5, 2\/9, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 8:07 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2252 - -1217?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - i)*(9616 - 254*i - 9616)*(i**3 - 2*i**3 - i**3).\nAnswer: -508*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -233*t**2. Let q(x) = x + 39. Calculate q(g(s)).\nAnswer: -233*s**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2115*u - 148. Let r be k(5). Let j = r + 18392. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(52 - 8*x - 52)*(-x + x - 2*x).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478582921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32489.\nAnswer: 53, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1112 + 972 = 5*n. Which is bigger: -27 or n?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - g - 1. Let l(c) = 100*c**2 + 8*c - 194*c**2 + 6 + 95*c**2. Calculate 6*j(z) + l(z).\nAnswer: -5*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -254431 (base 8) in base 7?\nAnswer: -515365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -362689080 divided by 48102?\nAnswer: -7540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*i = -190, 0 = 3*k - 3*i + 4*i - 121. What is the lowest common multiple of 385 and k?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 0.3, 1\/8, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.8 - 1.8. Which is the third smallest value? (a) 0 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 37 + 15 - 39.\nAnswer: 3*l - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.125771972 rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -144410011?\nAnswer: 144410010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*z = -85 + 85 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*x - 32 = 0, -2*s + 2 + 42 = 4*x. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 50 - 42. Calculate the remainder when 112\/(-2)*(-4)\/8 is divided by (-16)\/120 + m\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 0, 0.05 in decreasing order.\nAnswer: 0.05, 0, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + -2. Let k be (-12)\/40*65\/26. What is the closest to -0.2 in 0, l, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6 + 97*r - r**2 - 34*r - 29*r - 38*r. Let c = 73 + -31. Suppose -7*x - c = -0. Give m(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = d - 3*p - 251, 2*d = 4*p + 402. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 177099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 12) to base 3\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*v)*(-5 + 3 + 3)*(v + 2*v + 3*v).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.508 rounded to one dp?\nAnswer: 55.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = 3*r + 11. Solve o + r = 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530629882?\nAnswer: 2, 265314941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 123*t + 1. Let g(w) = -13*w. Determine c(g(a)).\nAnswer: -1599*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 4*p - 1584 + 1635, -3*p + 41 = 4*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 131 = 3*v, -11*g + 2*g + 11*g - 9 + 164 = 3*v for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 622 + -620. Solve 3*l = -5*c + p, 2*l + 6 = l - 5*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -31*r**2 + 29*r - 48. Find the first derivative of g(p) wrt p.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5440*a - 22040. Calculate u(4).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 51727788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - ((-2)\/(-4) - (-12699)\/(-6)). Suppose 47 = 17*s - g. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609714 is divided by 24388?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + k - 3*k + 1)*(-4 + 10 + 37).\nAnswer: -86*k - 129","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 9 - 4*z + 3 + 3 - 16. Let f be c(1). What are the prime factors of -1 + (-2 - f) + 12\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*c - 141 = 0, 10*f - 15*f + c + 169 = 0. Calculate the greatest common divisor of f and 3638.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**5\/4 - 3301*c**4\/4 + 265703*c**3\/4 - 5619155*c**2\/4 + 1603500*c + 19314000 = 0.\nAnswer: -3, 5, 40, 3219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdhfsmfdlsllfs. Give prob of sequence dl.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 9*k**2 + k - 18. Is 20 a factor of r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffururvq. Give prob of picking 1 u and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65820 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**6\/39 + 2*h**5\/65 - 2*h**4\/13 - 8*h**3\/39 - 10. Suppose s(p) = 0. What is p?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1. Suppose 0 = -3*s - 0 + 3. Let k(q) = 3*q - 2. Suppose -26 = 19*o + 12. Let b(c) = o*a(c) + s*k(c). What is b(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894402241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -563074, -2252291, -5067658, -9009181, -14076866, -20270719, -27590746, -36036953?\nAnswer: -45609346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4177321253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 25*y. Let p(s) = 3*s**2 + 253. Determine g(p(o)).\nAnswer: 18*o**4 + 3111*o**2 + 134343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*q + 445 - 445 + 16*q.\nAnswer: -31*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46531643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 1 (c) -0.5 (d) -59\/1697 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6789908457 a multiple of 7911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -3439*t**5\/20 + t**4\/6 + t**3 + t**2\/2 - 139*t. Is z(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m - 494. Let s(u) = 2*u - 166. Calculate 3*a(f) - 8*s(f).\nAnswer: 2*f - 154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*g + 2*i - 24, 3*i = 5*g - 14. Suppose -13*h = -11*h - 10. Put h, g, 3 in decreasing order.\nAnswer: h, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + 96.2. Let r = -9 + x. Which is the nearest to 1\/3? (a) -1\/9 (b) 2\/17 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21 - 21 - 2*t + 9024*t**3 - 9027*t**3 - 41*t**2 - 109*t**5 wrt t.\nAnswer: -6540*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 324*o**3 + 12021*o**2 + 1209*o - 444 = 0?\nAnswer: -37, -1\/4, 4\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40051 + 4266?\nAnswer: -32452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, s: 6, v: 4}. What is prob of picking 2 v, 1 s, and 1 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29242347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -992, 4027, 15060, 32107, 55168, 84243?\n\"Answer: 3007*m**2 - 4002*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - -1567761.475402.\nAnswer: 1567762.275402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*t = -10197 - 40203. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*l**2 + 3 - l**4 - 7*l - 5*l - 10*l**3 + 11*l**3 + 13*l as w*l**3 + o*l + p*l**4 + d + k*l**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267302, 267307, 267314, 267323?\nAnswer: 267334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -289 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 29. Let h be 88\/(-22) - 1*-4. Suppose -1 - 3 = -4*b - 4*t, -b + 3*t = -5. Solve -o - b*o - f = h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -468*r**5 + 11 - 46*r - 31*r + 1604*r**5 wrt r.\nAnswer: 22720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) + (sqrt(140) - sqrt(140)*-3)*-5)\/(sqrt(70)\/(sqrt(20)\/sqrt(2)) - sqrt(7) - sqrt(7)).\nAnswer: 38*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - 75\/(-36). Let l = 25\/3 - j. Let g = 539 - 1037\/2. What is the common denominator of l and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.944 at most -16\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**4 + 297*v**5 + 155*v**5 - 92*v - 338*v - 2*v**4 wrt v.\nAnswer: 9040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2\/7 - 4722334*i\/7 + 420303568\/7 = 0.\nAnswer: -2361256, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s*s**(-11))*s)\/s*s))\/s)**11\/(s*s**(-11)*s*s**(-28)) assuming s is positive.\nAnswer: s**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242 + 4412?\nAnswer: 10204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2\/17, -0.04073, -2\/3, 0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + j - 217 = -4*a, -a + 4*j = -212. Suppose -5*u + 7*u = a. Does 36 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b9 (base 15) in base 14?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 280 + -123. Let c = v - 153. Solve -c*k = b - 2*k - 1, 4*b + 14 = k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**4\/24 - 2*j**2. Suppose -4 = -3*h + 2*h. Suppose 0 = -p - 3*p - h. Let m(o) = -3*o - 2. What is p*m(q) - 2*t(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -78156 take away 12471?\nAnswer: -90627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134389.\nAnswer: 23, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54769864 or 54769872?\nAnswer: 54769872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from siziizxi. Give prob of picking 1 x, 2 z, and 1 s.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/111)*c*c**(-11)*c**(-1\/43)*((c**2*c)\/c)\/c)**12 assuming c is positive.\nAnswer: c**(-172616\/1591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:35 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 186\/((6\/16)\/((-30)\/(-120))). What is the highest common factor of h and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36123.364 - 36041. Let t = 82.409979 - c. Let w = t - 0.046. Round w to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108\/13 greater than or equal to -58289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than -53?\nAnswer: -53.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -424613 - -441?\nAnswer: -424142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27946017 - 1?\nAnswer: -27946018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3635 is divided by 243.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 92474 - 92474 - 15*f**2. Let g(b) = -10*b**2 - 5. Let o(w) = -9*w**2 - 4. Let l(p) = 4*g(p) - 5*o(p). Determine j(l(m)).\nAnswer: -375*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -530 - -368. Let n = 247 + s. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c + 17. Let i(t) = -t + 4. Let m(f) = 9*i(f) - 2*n(f). Let l(j) = 80*j - 55. Let h(y) = 2*l(y) + 55*m(y). Let o(b) = -b. What is h(o(p))?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 16 = 56 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycyycckcc. Give prob of picking 4 c.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5549, 2, -3\/46, 3, -1\/8?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(sqrt(17) - sqrt(102)\/sqrt(96) - sqrt(34)\/sqrt(2)*-6))**2.\nAnswer: 324*sqrt(17) + 111601\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 156?\nAnswer: 109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -71*t**2 + 168*t**2 - 46*t**2 + 196*t**2. Let p(b) = -11*b. Give p(i(w)).\nAnswer: -2717*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-80)\/15)\/(-8)*21. Solve -39*h = -37*h + w for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271467 + 2*s**3 + 271462 - 542929.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127 + j**2 - 12564*j + 12564*j)*(2 + j - j + 4*j).\nAnswer: 4*j**3 + 2*j**2 - 508*j - 254","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -938, -2114, -3760, -5876?\nAnswer: -8462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 + 34) - (-25 - -21)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -819394.\nAnswer: -5\/819394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 2*(4 + -5 + sqrt(208)*5 + sqrt(208) + 5))**2*-5.\nAnswer: -300160 - 7680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1084 divided by 32\nAnswer: -271\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17921.992051 - 17922. Round i to four dps.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000 + -111?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 + -0.08. Which is bigger: 64 or k?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 48 = -8*b. Let o be 1\/3*(2 - -1). What is the remainder when o\/6 + (-812)\/(-24) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 28*v**2 + 4*v**2 + 6*v**2 - 4*v + 21*v**2 in the form w*v + c*v**2 + d and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -7\/2*b**4 + 3\/10*b**5 - 4*b**3 + 19\/40*b**6 + 0*b + 0 - 13*b**2 - 1\/10*b**7. Let i(j) = 0. What is j?\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6942?\nAnswer: 2, 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -b93b8c4?\nAnswer: -b93b8bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5867 is divided by 1459?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 8:18 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 7*h - 6. Let z be p(-6). Let l be (-140)\/80 + 0 + 276\/176. Let w = -25.4 - -25.6. Which is the nearest to w? (a) z (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**3\/3 + 9*c - 7. Let j(d) = -4 + 3 - 2 + 4. Give -36*j(m) + 4*x(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-8)\/(-16)). Suppose 31 = 2*n - 6*s + s, 0 = 2*n + s - v. Solve 3*y + 2*h = -2*y + n, 2*y + 2*h = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**8\/840 - w**7\/420 - w**6\/60 + w**5\/60 + w**4\/6 + 5*w**3\/3 + 10*w. Let j(q) be the second derivative of p(q). Factor j(v).\nAnswer: 2*(v - 2)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(((y*y**(-3)\/y)\/y)\/y)*y)\/y)**(-2\/119))**(4\/23) assuming y is positive.\nAnswer: y**(-8\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -10*f + 100. Give w(15).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -a7?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130160 divided by -609.\nAnswer: -130160\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or -1486\/39?\nAnswer: -1486\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 24. Solve z = -3*l - 15, 0 = 2*l - n*z - 2 + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 11, 5, 3645, -2 in increasing order.\nAnswer: -2, 5, 11, 17, 3645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/20 and 25\/118937698.\nAnswer: 1189376980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (75\/20)\/((-40)\/(-64)). Solve -41 = l*c - 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 3.1. Let m be (4 + -1)*(-2 - (-4)\/3). Is v less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h, -3*x = -h - 519. Let g = x - 110. Calculate the highest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/6 and 35\/16461.\nAnswer: 32922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2117 + -2087. Solve 28*t - 4*d = 26*t + y, 0 = -3*t - 3*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + 2) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-19) - 1908\/10260*135\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208232 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4656619939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**8\/10080 + 11*k**5\/60 + 4*k**2. Let n(h) be the third derivative of i(h). Let g(r) = 9*r**2. Give n(g(d)).\nAnswer: -162*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y - v = 2, 4*y = -v + 33. Let l(n) = -2*n - 1. What is l(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 9*h**2 - 5*h - 4. Let s(o) = -2*o**3 - 7*o**2 - 4*o - 4. Determine -5*s(m) + 4*t(m).\nAnswer: 2*m**3 - m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-22) + (-28)\/(-693). Factor 0*p**3 + 2\/9*p**4 - 4\/9*p**2 + g + 0*p.\nAnswer: 2*(p - 1)**2*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.11 and 1594147 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 4*a + 15, 0 = 4*d - 5*a + 27. Put 5, -4, d in descending order.\nAnswer: 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-76)\/(-570))\/(6\/(-25)). Let b(n) = n + 2. Let r be b(-4). Which is smaller: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -143407248?\nAnswer: 1\/35851812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + 11. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 45 + 18*a - 21*a + 47.\nAnswer: -3*a + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -55, 5, 0.1, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 62. Solve b*f + 4 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6)\/((-1)\/(-33)). Find the first derivative of -u**2 - 2*u**2 + 8 - r wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 10 = -5*s + 49, 4*s - 60 = -4*u. Let x be 1 + (-1 - 0) + 0. Suppose x*c - 2*c = 0. Solve 5*d + c*d - 2*k = -s, 3*d - 5*k = -23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 426\/769 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 270355532 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2904 + -2892. What is the highest common divisor of 4014 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - c = 69, 4*k - 299 + 16 = -3*c. Let i(w) = w**3 - 24*w**2 + 26*w - 55. Let x be i(23). Calculate the greatest common divisor of x and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 92, 212, 382, 602, 872?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/40 and -18\/545.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*x + 7*x - 76*x - 130*x + 8512 = 0 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.9833 from -37232949.\nAnswer: -37232940.0167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(sqrt(117) - (sqrt(117) + (1*sqrt(117) - sqrt(117))))*1)\/(sqrt(63)\/(3*sqrt(35)\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305 - 10*s - 305.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -21. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24142 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10650 + -10651. Let o(x) = 45*x + 42. Determine o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -56*s**2 - s + 1. Let q be i(1). Let g be (q\/12 + 4)*-12. Let l = g - -46. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 10*j**2 - 8*j + 21. Let i be p(-6). Let w = i + 116. Calculate the remainder when w is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*f = 3*f + 1128, -1128 = 3*s + 3*f. Is s\/(-20) - (-1)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**4\/4 + 5*w**3\/3 + 5*w**2\/2 + 3*w - 3329. Determine h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yppppppppppppypppppp. What is prob of sequence yyp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 551422231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 182.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 + 6*y**2 + 2*y - 4. Calculate u(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.042, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*l**2*r - 12*c**3*l*r**2 + c**3*l + 4*c**2*l**2*r**2 + 4*c**2*l**2 + c*r**2 + 2*l**2*r wrt c.\nAnswer: -6*l**2*r - 72*l*r**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 55?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52.11 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 2:44 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 76, 161, 246?\n\"Answer: 85*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4334, -17339, -39010, -69347, -108350, -156019, -212354?\nAnswer: -277355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578*a = -568*a + 1162*a - 96. Let d(t) be the first derivative of -a*t + 1\/2*t**2 + 7. Calculate d(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -15. Let j(a) = 8*a - a**2 + x*a**2 + 9*a**2 - 8 - 9*a**2. Let y be j(6). Solve z - 21 + 6 = 3*l, -5*l - y*z = 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -55\/6. Let p(b) be the second derivative of -f*b**3 + 1\/2*b**2 + 0 + b. Let r(z) = 2. What is 2*p(m) - r(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74886 = -3*g + 2*d + 156144, g - 76989 = 3*d. What is the thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/3 - ((-4720)\/(-15))\/(-16) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-334)\/(-14) + (-22)\/(-154). Which is greater: t or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*z - 22, -5*i + 4*z = -102 + 70. What is the highest common divisor of i and 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 take away 1.1?\nAnswer: -86.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d - 12*d = 64 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 3 - -4) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 364 + -365. What is the nearest to k in -27, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -856*t**3\/3 - 99*t + 691. Find the first derivative of v(q) wrt q.\nAnswer: -1712*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16295\/39 - -416. Calculate the common denominator of 26\/3 and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 2 - 2 - 4 - 5 + 5*a. Calculate the remainder when t(-11) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(176)*3 + 5.\nAnswer: 2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 19*r - 7. Let j(h) = 9*h - 4. Determine -7*j(x) + 4*q(x).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 1.37.\nAnswer: -38.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -176\/9 (b) 1\/12 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*a - 9 - 0, 0 = -a - 5*g - 1. Let s be (a\/(-6))\/(2\/4). Solve s*c - 6 = 4*m, 5*m + 3*c + 5 + 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + 24 + -58 - (3 + 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -305*l**2 - 553*l + 503. Determine k(-3).\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 11:57 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-21)\/9)*6. Let y(f) = 0 - h + 7 + 4*f + 0. Does 7 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/35, -44, 0, -1\/6?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185555*k**2 + 146747*k wrt k?\nAnswer: 371110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -112 + 622514?\nAnswer: 622402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.077 + 26.1203.\nAnswer: 26.0433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:14 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**2*t**3 - 40*h**2*t**2 - 2*h**2 + 16*h*r*t - h*t**3 + 4993*r*t**3 wrt t?\nAnswer: -12*h**2 - 6*h + 29958*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -564 in descending order.\nAnswer: 4, -3, -564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * -0.1.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyd when three letters picked without replacement from {d: 2, y: 5, h: 9}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**6\/120 - 7*y**5\/60 - y**4\/12 + 8*y**3\/3 - 27*y**2. Let q be w(7). Solve 0 = z - 3 + q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -87. List the prime factors of -1*(a\/3 - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, 1\/6, -15\/4, 2\/3 in descending order.\nAnswer: 2\/3, 1\/6, -0.4, -15\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 32 = 4*j. Suppose 60 = j*s + 4. Suppose -5*a = 2*a - s. Solve -a = v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*r + 2*r + 19 = 0, 2*a - 5*r = 11. Suppose -4*u - 3*s - 6 = -20, a*s + 1 = -u. What is the remainder when 69 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, 5\/2, -2, -3 in ascending order.\nAnswer: -8, -3, -2, -1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*sqrt(70)*2)\/sqrt(10).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, 136, 298, 524, 814?\n\"Answer: 32*b**2 + 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -8*k + 25. What is the remainder when 63 is divided by k\/12 - (-96)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/5))**33\/(b**(-4))**(-2\/119) assuming b is positive.\nAnswer: b**(23522\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k. Suppose -15 = -4*r - 2*v + 3, 2*r + 3*v - 7 = k. Suppose -3*i + 3 = -4*b - 4, -i = -r. Solve 10 = 4*f + b*z, -z - 4*z - 15 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 36*m**2 + 5*m - 1. What is g(-36)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 30*d**2 - 329*d. Calculate s(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 923406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 17776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294 - (-56 - -307) - (0 - -160).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, s: 1, n: 4, x: 9}. What is prob of sequence sxnx?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + 33*g - 4*g - 450 = 0 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119.1736 - -120.1. What is j rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*a**3 + 6*a**2 + 0 + 3\/2*a**5 + 6*a - 3*a**4.\nAnswer: 3*a*(a - 2)**2*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-383*w + 384*w + 1085*w**4 - 9101*w**4)*(-3*w - w + w).\nAnswer: 24048*w**5 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5374249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -10*z - 5\/42*z**7 + 0 + 25\/6*z**3 - 5\/6*z**4 + 2\/3*z**6 - 5*z**2 - z**5. Solve g(j) = 0 for j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 30716403474*s - 30716403474*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -577.7471.\nAnswer: -1733.2413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 34 = 3*i. Suppose -i*j - 18 = -j. Let c be j*4\/(-4)*40. Calculate the greatest common divisor of c and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f - 153. Let i be t(22). Sort 3, 68, i in increasing order.\nAnswer: i, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039533486.\nAnswer: 2, 3, 173255581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in -3, -4, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -203464364 (base 7) to base 8\nAnswer: -55512464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u - 5*u + 15*u + (-3 + 0 + 1)*(-2 + 2 - 2*u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 169\/3 or -2.91?\nAnswer: 169\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*l - 4031 = -6527 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1855469.63 to the nearest 1000.\nAnswer: 1855000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j\/(j**(-2\/7)\/j)))))**(-5)*(j**(2\/7)\/j)\/((j\/j**(-2\/3))\/j*j) assuming j is positive.\nAnswer: j**(85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 881112.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (33 + -55 - -7) + 11 + 0 - 68\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3763?\nAnswer: 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, -1, -9 in ascending order.\nAnswer: -91, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43\/123 - -2\/123. Which is the closest to t? (a) 1\/6 (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5772, -5774, -5776, -5778?\nAnswer: -5780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = s - 6. Let v be 22*1*s\/2. Suppose -2*y = -2*z - 3 - 37, -4*y - 3*z + 94 = 0. Calculate the greatest common factor of y and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1131111 (base 6) to base 11\nAnswer: 40014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 96, 146, 214?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 1.8 (b) -0.048 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1774, -3007, -3940, -4573, -4906?\n\"Answer: 150*r**2 - 1683*r - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15425 > 15387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 19519464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.577 and 2.\nAnswer: -31.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + 2*z + 3. Suppose -2*u - 16 = -3*n, -35 = -5*n - 3*u - 2*u. Let s be n*(8\/(-6))\/4. What is the remainder when 44 is divided by v(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j**5\/7 - 16976*j**4\/7 + 758140*j**3 - 404489304*j**2\/7 - 408478032*j\/7 - 102452256\/7 = 0. What is j?\nAnswer: -1\/2, 114, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319485047.\nAnswer: 3, 439828349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 52?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/259*((-49)\/42)\/(24\/(-18))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q - 128. Let p(g) = 2. Let c(m) = 6*p(m) - w(m). Let h(n) = -n**3 - 9*n**2 + n + 9. Let u be h(-9). Is 10 a factor of c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-1 - 3)\/56. Let c = 3.9153 + 0.0847. What is the biggest value in -2\/15, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 + 340. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/2*(-10)\/20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1051460 and 190?\nAnswer: 1051460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + sqrt(175)*2 + -1.\nAnswer: -1 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 1354?\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -6*x + 112. Let a = x - 23. Find the second derivative of -4*f + a*f - 2*f - 3*f**5 - 2*f**5 wrt f.\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 less than or equal to 434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18494*w + 18495*w + 2 = -5*m, -5*w = m + 106 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 9. Let a be 6\/r + (-15 - -14). Put -2, 4, a in decreasing order.\nAnswer: 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkmkm. Give prob of sequence mm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -128 - 4390?\nAnswer: -4508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**3\/3 + 3*f. Let r(w) = 27*w - 4. Let u(k) = 2299*k - 342. Let o(y) = 171*r(y) - 2*u(y). Determine o(l(z)).\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -786886.0919923 - -786853.092. Let k = p + 33. Round k to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -3, 8, 16, -11 in increasing order.\nAnswer: -11, -7, -3, -1, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqq when three letters picked without replacement from gqggqggg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 + 379 = 3*m. Suppose 160 = -2*a - 96. Let w = m - a. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2797 - -1.2797025357. Round x to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*f + 6. Let q = 0 - -3. Let k(z) = 6 - 5 + 1 - q + z**2. What is k(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 take away 0.005?\nAnswer: 209.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, n: 4}. Give prob of picking 1 f and 1 n.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaiiauohiviv. Give prob of sequence ao.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1212 + -1759. Let w = c - -509. Which is bigger: w or -41?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 576 = 17*q + 26*q - 85*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -2\/25 (b) -0.09 (c) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 627 + 2516. Suppose -h*j = -451*j + 1642. What are the prime factors of j?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -876.08 - -4.08. Let b = 871.999999086 + w. What is b rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*282\/(-188).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55381876301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10079, 10333, 10585, 10835, 11083, 11329?\nAnswer: 11573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 11:02 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 75124651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t. Let l(j) = 8*j**2 - 7*j**2 - 50 + 43. Calculate y(l(u)).\nAnswer: 2*u**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 7*d - 3. Let f be x(-8). Suppose 2*t = -f*t + 28. Solve 4*k = 2*m, -t*k - k = -3*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189101.831550625 + 189104.8. Let t = 237.031538725 + a. Let g = -240 + t. Round g to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1607, 6725, 15813, 29333, 47747, 71517, 101105?\n\"Answer: 77*c**3 + 1523*c**2 + 10*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*l**3 + 60*l**3 + 60*l**3 + 58*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (291\/72 + (-3377)\/921)\/(75\/4)?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -275 - -730. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/26070 and 64\/74655.\nAnswer: 1642410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/31223692 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {i: 4, n: 1, a: 2, m: 1, v: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -10*v**3 + 13*v**2 + 3*v + 2. Let s(b) = 7*b**3 - 9*b**2 - 2*b - 1. Let q(p) = -5*d(p) - 7*s(p). What is the units digit of q(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352609.3*-0.1\nAnswer: -35260.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(98) + (sqrt(98)*-1)**2) - (-5 + (0 + sqrt(98) - sqrt(98)))**2) + -2 + sqrt(98) + 0 + sqrt(98) + -2 + 1 + sqrt(98).\nAnswer: 28*sqrt(2) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8659?\nAnswer: 7, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1615.1794 - -5\nAnswer: -1610.1794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*v + 37 = v, -2*w = -5*v - 41. Let a be (-11)\/(-2)*1*-2. Let j = w + a. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 1 - 2*l**2 + l**3 + 5 - 7. What is the remainder when b(4) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1697610*a**3 - 3195*a**2 - 3195. Let q(y) = -1063*y**3 - 2*y**2 - 2. Give 2*o(h) - 3195*q(h).\nAnswer: 1065*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -830763 and -0.05309383.\nAnswer: -830763.05309383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/14 - (-4)\/7*30\/60. Solve g*w + 12 = 4*a, 22*a - 27*a + 5*w = -25 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 104642, 104632, 104626, 104624, 104626?\n\"Answer: 2*q**2 - 16*q + 104656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o**3 - o**2 + 4*o + 6. Let b = -6428 - -6426. Calculate r(b).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.02, -7 in descending order.\nAnswer: 0.03, 0.02, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76604241350 - 3132.\nAnswer: 76604238218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/9)*(a**1*a*a)\/a)**(-1)*(a\/(((a*a\/(a*(a\/(a\/(((a*a\/((a**(3\/4)*a*a)\/a)*a*a)\/a)\/a)))\/a))\/a*a)\/a)*a*a**(5\/7))**(-11\/5) assuming a is positive.\nAnswer: a**(-1565\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23*(-4)\/24 - -1) + -4. Let j(p) be the second derivative of n*p**4 + 0 - 7\/6*p**3 + 4*p + 0*p**2. Find the second derivative of j(s) wrt s.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 + 0)*(-6*h + 3*h + 4*h) - 3*h + 2*h + 0*h)*(-266 + 266 + 8*h) to the form o*h**2 + r + k*h and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2999*g + 1003*g + 994*g + 1000*g - 5*g**2 as y*g**2 + f*g + u and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140555, -562785, -1266689, -2252267, -3519519, -5068445, -6899045?\nAnswer: -9011319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = 5*r - b, 5*r - 7*b - 87 - 162 = 0. Solve 5*q + 5*g = -r, 5*q + 17 = g - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + 8.6. Let k = 203.9 + -204. Is h > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -26\/5, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6337033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4 + 4 - 4 + 5428*a - 10*a**3 - 4574*a wrt a?\nAnswer: -12*a**2 - 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 3)*(0*d - 2*d + 8*d)*(-23 + 17 + 75) as u*d + n and give u.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -8*l + 12*l. Let n be (-16)\/12*(-2)\/l. Let y = 1 - n. Put -0.5, 0.02, y in increasing order.\nAnswer: -0.5, 0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**3 + 9026003*c**2 - 3008667*c**2 - 3008668*c**2 - 3008668*c**2.\nAnswer: 31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - w + 2 + (2*w - w + 0*w)*(2 - 6 + 2) - w - 1 + 1 - 1 + 1 - w + 38*w + 29*w + 28*w)*(-4 + 0 + 3) to the form y*w + n and give y.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -3?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 10 = -3*s, -24*s + 26*s - 14 = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)*m*(m*m**(-9))\/m*(m**(-22))**(-3\/2))**44 assuming m is positive.\nAnswer: m**616","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - -1 - (-18 + 27).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 746 + -746. Let m(q) be the first derivative of 2 + r*q**2 + 2*q**3 + 0*q**4 + 3\/5*q**5 + 0*q. What is the third derivative of m(h) wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f - 112 = -3*c, -3*c = f - 110. Suppose -4*t + j - c = -13, -t + 2*j = 4. Is (-276)\/(-8)*t\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwpw when four letters picked without replacement from wpppwp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Suppose k - f - 4 = 0, 5*f = -r*k + f + 16. Suppose t + k*t - 220 = 0. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.42 + 0.12. Let g = -6.3 - f. Which is the biggest value? (a) 0.3 (b) g (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/(-24))\/(320\/(-30))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -105, 3\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 16 + (-3)\/6*2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 9*o**2 + 12*o + 8. What is the remainder when z(8) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 6*c**2. Suppose -6*l + 3*h = -l - 149, 10 = 5*h. Suppose -3*r = z + 19, -3*r - l = 2*z + 2*z. What are the prime factors of o(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538198187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2833.282ml to litres.\nAnswer: 2.833282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 30271.94 millennia?\nAnswer: 363263280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 18 + 1)*(-2*b**2 - 3*b**2 + 3*b**2) - 1 - 2*b**2 + 1)*(-b**3 - 2*b + 2*b).\nAnswer: 50*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14050 and 47225.\nAnswer: 26540450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27937*y + 14503*y - 9607*y + 4.\nAnswer: 32833*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 4*o = 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 3:18 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -8 (c) -8144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4729.8849 rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11104 divided by -16?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1040, 9659, 33420, 79895, 156656, 271275?\nAnswer: 431324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291755266 to the nearest integer?\nAnswer: 17081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 520 divided by 104\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000056282 rounded to 6 decimal places?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g + 748*g - 2526*g - 3082*g - 1011*g to the form z + y*g and give y.\nAnswer: -5852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223195, 223210, 223225, 223240, 223255?\nAnswer: 223270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 47*z + 231. Give j(-41).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 12, 3*i + 0*q = -2*q + 68098. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*b - 1437, b + 4 = 5. Let j = -300 + n. Let y(t) = -t**3 - 13*t**2 - 14*t - 13. Determine y(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83195, 83276, 83349, 83408, 83447?\nAnswer: 83460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -56d?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -55 (b) -3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**4\/24 - 1217*n**2. Let j(d) = 1087*d**2. Calculate j(x(m)).\nAnswer: 1087*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 9. Let v(h) = -200000*h**3 - 3*h**n + 3*h**2. Let l be v(-1). What is l rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/34, 23, -0.1?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23736.\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k*m**2*n - k*m*n - k - 5*m**5 + 4*m**3*n + 3*m*n + m wrt m.\nAnswer: -4*k*n - 100*m**3 + 24*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.172 * -254354\nAnswer: 43748.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 j when four letters picked without replacement from {z: 1, p: 5, j: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14176, 28332, 42452, 56518, 70512, 84416, 98212?\n\"Answer: -3*a**3 + 14177*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4 + 13*v + 4*v - 2 - 7. List the prime factors of m(8).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 7*p - 3. Let u be ((-7)\/(-28) - (-1)\/(-4))\/(-2). Suppose u = 109*f - 111*f + 14. Give i(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16779 and -432.81.\nAnswer: -17211.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 220 = t, 0 = 5*z - t + 2*t + 550. Let o be z\/((-2 - 1)\/3). Let d = -2 - -12. What is the highest common factor of d and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -45.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 485117859 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1463608.\nAnswer: 3\/1463608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 4*g + 7. Let h(k) = -k**2 - k + 1. Let f(n) = -3*h(n) + s(n). What is the units digit of f(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (-4 + sqrt(171) + 1 - (-4 + -1 + sqrt(171))) + (6*(sqrt(171) + 0)*6)**2 + -4.\nAnswer: 221613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-42)\/(y\/((y\/y**(12\/5))\/y)) assuming y is positive.\nAnswer: y**(-227\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, 137 in decreasing order.\nAnswer: 137, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(16\/(-12))*(-20)\/3. Let v = b + -16. Solve 0 = v*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u\/(u*u\/u**2))\/u))\/u**(-2\/9))\/(((u\/u**(-2\/7))\/u)\/u*u)**(2\/49) assuming u is positive.\nAnswer: u**(6824\/3087)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665186?\nAnswer: 2, 37, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25432248869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*a = 12. Let k(y) = -y**3 - 49*y**2 + 150*y - 316. Let l be k(-52). Sort 0, l, a, 6 in decreasing order.\nAnswer: 6, 0, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320700337 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Suppose z = l + 3*l + 168. Let g = -19 - l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0 - 1\/336*r**7 - 1\/2688*r**8 - 1\/96*r**4 - 7\/480*r**5 + 0*r + 0*r**3 - 3\/320*r**6 - 2*r**2. Factor n(d).\nAnswer: -d*(d + 1)**3*(d + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - 20*v**2 - 2*v + 18. Let j be g(10). Let n(b) = b + 17. Let m be n(j). What is the greatest common factor of m and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 29*j**2 + 299*j - 1696. Give m(36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*o**3 - 894*l**3*o**2 - 683*l**2*o**3 - l**2*o**2 wrt l.\nAnswer: 6*o**3 - 5364*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 210*p - 2205.\nAnswer: -5*(p - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -0.1, 2482 in descending order.\nAnswer: 2482, 0.7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 30*k**2 - k + 50287. Is h(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17770027 by -1.\nAnswer: 17770027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709163*o + 707747*o = -165672 for o.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/460 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, m: 2}. What is prob of sequence wm?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(8\/1104*6). Do i and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 8*p**2 + 8*p + 10. Let q(l) = l**2 - 5*l - 3. Let t be q(4). Let j be w(t). Solve -j + 1 - 3*o**3 + 2 - 3*o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-4)\/((-8)\/10). Let s(i) = -i**3 + 5*i**2 + 5. Let n be s(w). Let f = n + -3. Are f and 5\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -8 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2348.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124256\/27 + -4601. Calculate the common denominator of -11\/3 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -2 - (-2 - 0). Let x(c) = -7*c**2. Let l be x(d). Let r = l - -29. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 23*y - 1611. Determine x(69).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 14*s**2 - 3*s + 55. Calculate t(13).\nAnswer: -2012","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h + 6 = 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/80*2*(-8)\/(-6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.62803 + -0.37197. Let i = -5 - -8. What is the fourth biggest value in i, -0.5, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38566 divided by 5\nAnswer: -38566\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 1447*v + 2891. Calculate c(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-150)\/(-40))\/((-6)\/(-32)) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 8*w**2 + 6*w - 7. What is d(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 32*s - 250. Let d be z(-14). Sort d, -3, -7 in descending order.\nAnswer: d, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 8. Let q(g) = 47*g**2 + 60*g. Determine q(f(h)).\nAnswer: 47*h**2 + 812*h + 3488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*a - 29, -4*q - a - a = -2. Suppose q*n = n + 18. What is the units digit of (-8)\/(-4)*n\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -53, 0.4, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*u + 49*u + 1670 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12350\/(-11115) + (614\/18 - 0). Solve -12 = 8*i - 6*i - 2*a, 2*i = 5*a - m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -640\/9, -1\/27, -2\/11, 51?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -37740 divided by -30\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 12:10 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11362, 0.054, -0.3?\nAnswer: -11362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -113123207 divided by 5953853\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*w**2 - 3352*w - 2762731 wrt w.\nAnswer: 18*w - 3352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1829c1 (base 15) to base 7.\nAnswer: -12654535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33135049?\nAnswer: 59, 79, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m*z**3 + 369*m*z**2 - 13*m*z + 921*m - 6*z**3 wrt z.\nAnswer: 18*m*z + 738*m - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f + 4. Let h be z(-2). Let v be (-28)\/35*h\/4. Solve -5*b = 3 + v, g - 2*b = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618285 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 5, 3 in decreasing order.\nAnswer: 5, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/7 + 233*r\/7 + 708\/7.\nAnswer: -(r - 236)*(r + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5578220843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15759545 and 565?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-144)*48*5\/(-8)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0. Let k be 135\/81*((-1)\/(-15))\/((-3)\/18). Which is the nearest to k? (a) -1 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*g + 754*g + 119*g = 53188 - 16777 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 1319*a + 19138 = -1012*a + 450 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 3 + sqrt(35)\/sqrt(5) + 4*sqrt(42)\/sqrt(6) + sqrt(7).\nAnswer: 3 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**4\/5 - 4*f**3 - 30*f**2 - 100*f - 120. Let q(s) = 0. Calculate s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1025 + 86?\nAnswer: -a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Suppose 4*v + 5*r = 3*r + 154, -157 = -4*v - 5*r. Let j = 16 + v. Calculate the least common multiple of j and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*o + k + 10, 30 = 5*o + 5*k. Suppose 0 = -2*i + 2*g + 4, i - o*i + 12 = 2*g. Calculate the remainder when 5 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 15*b + 20. Determine a(-13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjwjw. What is prob of sequence jj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2554*q**4 - 8151?\nAnswer: -10216*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -284*m**2 + 5*m - 7. Let c be u(4). Let t = -2935 - c. Suppose 5*r - 12*r = -t. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 554.9182 kilograms to milligrams.\nAnswer: 554918200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 653158*b - 1959492.\nAnswer: 2*(b - 3)*(b + 326582)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7180183 rounded to 2 decimal places?\nAnswer: 1.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-66) + 18\/66.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 10*b**2 + 9*b + 4. Let l be m(-9). Suppose 38 = 3*w - 2*i, -w + 0*i + l*i = -16. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2160 and 0.05.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.043635 and -677.\nAnswer: -29.540895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 - 9 = 0. Let b(t) = 6*t**2 - 8*t + 7 + t**h - 9 + 0*t**3. Let f be b(-7). Solve 0 = -3*y + 2*y + f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -13, 0.4, 0, -0.5 in decreasing order.\nAnswer: 10, 0.4, 0, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxxccnnaxxna. What is prob of picking 1 x, 1 n, and 1 a?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 11) to base 7.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -434627 and 3.\nAnswer: -434624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 240 = -5*o. Which is the closest to o? (a) 0 (b) -2 (c) -2\/15 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 13\/((-104)\/(-4760)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 3*o - 1509736 = -19*i, -2*i + 3*o + 603907 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18647201\/1793 - -10400. Let m = w - 8801\/1793. Let x = 3\/256 - -6077\/256. Calculate the common denominator of m and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -3*v + 0*v**3 + 1\/80*v**5 + 0*v**2 + 0 - 1\/24*v**4 + 1\/120*v**6. Factor f(x).\nAnswer: x**2*(x - 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.5 - -4. Let t = -218.9 + 219. What is the nearest to t in h, -3\/5, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/16)\/(2\/(-708)). Suppose -27*b - v = 12. Let m(c) = -c**3 - 7*c**2 - 2*c - 7. Calculate m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454339241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 33238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -1)\/(20 + 3). Let s(z) = 3*z + 78. Let w be s(-26). Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22 + -6 + 0)*-1. Solve 4*n - q = -0*n - 5*c, -n - 18 = -5*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 796*c + 5. Let i be q(6). Is 5 a factor of i\/56 + (-6)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*u + 131658746, -6*u = 4*g - 3*u + 131658721. Let y = g - -10214684. What is y rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1.27.\nAnswer: 0.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(972) + 5)*-4 - 6*(sqrt(972) + 0 + -2 - 2*(sqrt(972) - (-1 + sqrt(972)))))**2.\nAnswer: 57024*sqrt(3) + 475632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a. Let j(b) = -222915*b**2 - 58. Determine m(j(l)).\nAnswer: -891660*l**2 - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -58, -37, 2, 65, 158?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 3. Let s be (-48)\/18 - 2\/6. Let z be (-1)\/s - 40\/12. Give g(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 76678.96ug?\nAnswer: 76.67896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 4 - (1 + -7). Suppose -k = -n*k. Solve -5*t + 5 = -k, u - 3*t = -3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3374 - -6370. What are the prime factors of w?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14118 and -1410.63?\nAnswer: 15528.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.070134709 to three decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198582, -198692, -198876, -199134?\nAnswer: -199466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540207468 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 13 + 7. Let u(g) = g**2 - 2*g - 7. Let w be u(d). Suppose w = p + 3*n, -3*n + 7 = 2*p - 6*n. Calculate the greatest common divisor of 20 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*t = 395, -2*k + 250 = 5*t - t. Calculate the highest common factor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.55878462 to 3 decimal places.\nAnswer: 2.559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6117.99992314 + 6118. What is z rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 116 = -o. Suppose 4 = t - o. Let d = -23 + t. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 5*i**3 - 46*i**2 + 46*i**2 - 3*i**3 + (-2*i - 4 + 4)*(0*i**2 + 0*i**2 + 2*i**2) + 28*i**3 - 21*i**3 - 35*i**3.\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -817.076 - -786. Let p = c - -31. What is p rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/4)\/(3\/(-4)). Suppose 13*i - 456 - 350 = 0. Let o(y) = -63*y**3 + 5 - 4 + 6*y**2 + i*y**3 - 3*y. Determine o(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(16*13\/(-5200)) - 664\/66?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/15*(((-570)\/36)\/(-5))\/(4\/(-36)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + ((sqrt(98) + -1)*6 - (sqrt(98)*1 + sqrt(98))*5) + (sqrt(98) + (sqrt(98) + -2)*-5 - ((sqrt(98)*-3 - sqrt(98)) + -5)))**2.\nAnswer: -3264 + 896*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnncjncjcnnn. What is prob of picking 4 n?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eow when three letters picked without replacement from {o: 5, w: 3, j: 1, e: 4}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 12806835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 628476 and 7636?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4973 - 102225 = -y - 2619. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2651 - 2677. Let g = 1.82 + 0.08. Let j = g + 0.1. Which is the closest to -0.1? (a) l (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6262656133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(3\/(-3))\/((-1)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10834\/20021 or -2?\nAnswer: -10834\/20021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/18*24\/(-20). Solve -2*w = 3*c + 6 + 4, 0 = -o*c - 5*w - 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4529287.99676 - -4529211. Let u = v + 77. What is u rounded to 4 dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2056*g + 65011 with respect to g.\nAnswer: -2056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15 = 3*s, 0*s - 9 = -3*w + 3*s. Solve -7 = 5*l + 2*t, l + t = w*t + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*f - 11, 0 = c - 3 - 0. Sort -5, 1, f.\nAnswer: -5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2984 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 184, 183, 180, 175, 168, 159, 148?\n\"Answer: -m**2 + 2*m + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, 10, 9, 8?\n\"Answer: -r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3261 or 42387\/13?\nAnswer: 42387\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -e3f7c (base 16) in base 13?\nAnswer: -269025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/7 in -1\/18, -2\/9, 0.3, 2\/19, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1592.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 11. List the prime factors of (-3 - j)*(-76)\/12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 2250*v**2 - 421875*v.\nAnswer: -3*v*(v - 375)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*g + 40. Suppose 5 + 26 = -6*a + 7. Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 - ((-385)\/(-20))\/(-7)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:42 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-45))\/(1*1\/(-3))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-3))\/((-266)\/(-798))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2532, -5057, -7580, -10101, -12620, -15137, -17652?\n\"Answer: l**2 - 2528*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4052446 is divided by 2647.\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*d = 2897 + 1568 + 2235. Solve -4*r = -d, -865*r + 15 = 3*n - 862*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4221 is divided by 514?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-622812)\/(-510))\/(-142) - ((-9)\/1)\/1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 311, 332, 389, 494?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m**3 - 12*m**2 + 104*m - 15. Let a(c) = -11*c**3 - 10*c**2 + 82*c - 14. Let u(v) = 5*a(v) - 4*r(v). Calculate u(-4).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) - (-21)\/36. Let o = 0.2 + -0.3. Let a = -19.3 - -19. What is the closest to o in -3, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 24 - (-32 - (-14 - 12))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - (5 - 8))\/((-2)\/6700). What is the second derivative of n*w**4 - 6700*w**4 - 11*w + 60*w**5 wrt w?\nAnswer: 1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 374539 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**3 - 12*r**3 + 6*r**3 + 3*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*w - 20 + 500. Suppose -54 = -3*n + 12. What is the remainder when n is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((621270\/(-10296))\/531)\/(15\/18).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -16.7401.\nAnswer: -16.3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301311 (base 5) in base 12?\nAnswer: -12706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172 + -150 + 4 + -4 + -15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2375 + 2395. Solve 60 = y*g - 35*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -40. Suppose 5*x = 84 + 111. What is the remainder when x is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**2 - 7*o**2 + 20*o**3)*(-2*o + 3*o + o)*(-3*o + 12*o - o)*(-4 - 7 - 6).\nAnswer: -5440*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -29. Let u be 4 - 0 - (15 + q). Let n(l) = -2*l - 24. Let w be n(u). Solve -w*r + 4*f - 44 = -12, 3*r + f = -12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 2*j**2 + 6*j**3 - 17*j**3 - 51*j**4 - j + 2*j**2 + 9*j**3 to the form h*j**2 + r + f*j**4 + z*j**3 + v*j and give f.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/9)*s)\/(s**(1\/10)\/s))\/(s\/(((s\/s**(1\/8))\/s)\/s)*s**12) assuming s is positive.\nAnswer: s**(-4321\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81261 (base 11) to base 7.\nAnswer: 1003156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43 and 1032.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2 + 57105*a - 171288 = 0 for a.\nAnswer: 3, 19032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -15. Solve 3*w + t*w + 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 25736 + 5321 = -48491. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 4*v - 1. Let t be l(3). Solve 38*a - t - 35*a - 3*a**3 + 2 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - f + 2*f + (3*f + 3 - 3)*(-1 + 0 - 1) - 2*f + 4 - 4)*(134*f + 13*f + 89*f)*(0*f + 4*f - 2*f).\nAnswer: -4720*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5483, -14389, -23295, -32201, -41107?\nAnswer: -50013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2 - 199418*x + 598272 = 0.\nAnswer: -99712, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*m**4 + 77*m**3 - 73*m wrt m.\nAnswer: 108*m**2 + 462*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:04 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z - 7 = -2*p + 43*z, 2*p - 1 = 3*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167\/18 - 19\/2. Which is the biggest value? (a) u (b) 3\/2 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -980 + 980. Let o(g) be the third derivative of g**4\/24 + 5*g**3\/3 - 2*g**2. Give o(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = -71 + 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -474*p**3 - 41*p**2 + 2?\nAnswer: -2844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -686 + 4*y**2 + 115*y + 174*y - 273 - 817 + 591*y.\nAnswer: 4*(y - 2)*(y + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -425 - -167. Let v = n + 258.482. Round v to two dps.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 43674561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 0)\/(((-420)\/(-80))\/(-21)). Sort 2, -3, -5, n, 5.\nAnswer: -5, -3, 2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from {r: 3, i: 2, l: 3, h: 1, t: 2, j: 4}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -44. Let t = x - -361\/10. Suppose o + p = -o + 8, -20 = -2*o - 4*p. Which is the third smallest value? (a) o (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((((sqrt(209) + sqrt(209)*-2 + sqrt(209) - sqrt(209))*-3 + 6*(sqrt(209) + sqrt(209)*1))*4)\/(sqrt(1100)*-2*1*4))**2.\nAnswer: 139\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3128*t + 3117*t. Let u(q) be the first derivative of 1\/28*q**4 + 23 - 1\/7*q**3 + 1\/7*q**2 + t*q. Let u(h) = 0. Calculate h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpzypplpyzpzp. What is prob of picking 2 p and 2 z?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 5.5. Let c = q - -1.8. Suppose 0 = -z + 3*z + 10. Sort -1\/4, z, c.\nAnswer: z, -1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 53*j**2. Let m(b) be the first derivative of 30*b**2 - 727. What is f(m(i))?\nAnswer: 190800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -100003 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k + 6*k - 5024. Let g = 345 - k. Solve -8 = 2*a - 3*q - g, -5*q - 25 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2 + 8*n**2 - 5 - 7*n**2 - 7*n**4 wrt n.\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310996 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: Solve 0 = 33*p + l + 1648, 3*p + 0*l - 2*l = 25 - 169 - 10 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3083969805?\nAnswer: 3, 5, 7, 277, 106033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 0 + 0 + sqrt(448) + (5*(0 + sqrt(448)) - sqrt(448)) + sqrt(448) + (3 + sqrt(448) + -3)*4)**2.\nAnswer: 54208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1016 and 4064?\nAnswer: 4064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2648*b + 13978 + 33426 = -955*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 69.\nAnswer: 34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*h**3 - 1617*h**2 + 51*h + 284739184 wrt h?\nAnswer: 12*h**2 - 3234*h + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Is 46\/m*2*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/40 + z**4\/4 - z**3 - 5*z**2. Factor g(b).\nAnswer: -3*(b - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 0*y - 3*y + 2*y. Let o(w) = 4*w - 159 + 159. What is i(o(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 424 and -100 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2218*w - 6 - 2216*w + 26 + 92*w**2.\nAnswer: 92*w**2 + 2*w + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -15*g - 44. Determine b(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/295698 and 2\/5.\nAnswer: 1478490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 11*b - 16. Let h(r) = -5 - 2*r + 6 - 4. What is 11*h(v) - 2*l(v)?\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9076 + -9160 - 338\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 83*x - 625. Calculate p(-91).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49978\/33723 + -2\/3747. Find the common denominator of (-4)\/18 - 15\/(-2) and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 0*g + 14 - 4 + g. Let j be b(-11). Sort j, 2, -5 in increasing order.\nAnswer: -5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -100120101020001?\nAnswer: 100120101012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400 divided by -40.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*z - 0. Let n = 14 + -13.7. Sort 1\/2, z, n.\nAnswer: z, n, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1005706 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, x: 2, h: 8, d: 4}. Give prob of picking 2 x, 1 h, and 1 d.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 222928*a**4 + 366913 wrt a.\nAnswer: 891712*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 6*c - c + (-3*c + 4*c - 2*c)*(2 - 3 - 1) - 39 + 39 - 22*c to the form v + f*c and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 5*l**2 - 8*l - 3. Let h be w(-6). Let k(t) = t**2 + 8*t + 8. Let r be k(-7). Let o = h - r. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**2*a*a**(2\/5)*a)\/(a*a*a**(-1\/3))**11 assuming a is positive.\nAnswer: a**(-254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 0.5. Let f = 8.1 + i. Round f to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 10. Let o = 10 - 5. Let q be h(o). Suppose q*g - g = 0. Solve 0 = -g*k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 88\/11 - 1*-1. Let m be 1 - -7 - i\/3. Sort m, -5, 0 in ascending order.\nAnswer: -5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/23, 1\/4, 3799?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135255 and 80?\nAnswer: 2164080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7 + 3. Solve 2*p + j = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-63*(-98)\/(-210) - -30)\/(6\/860)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {m: 1, r: 3, c: 1, b: 5, e: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -0.5. Let w = 0 - x. Which is the smallest value? (a) w (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2\/5 + 16232588*i\/5 + 65874228294436\/5 = 0?\nAnswer: -8116294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343876*u**2 - 339923*u**2 + 712290*u**2.\nAnswer: 28491*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 - 0.16000011. What is t rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let i = -5 - -9. Suppose -r - 3 = -i*r. Let d(k) = -k**2 - 4*k - 1. Let v(z) = r*d(z) + 2*t(z). Determine c so that v(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.9 and 621.\nAnswer: 631.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1488\/(-1248))\/(27\/(-702)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x - 10 + 10 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l**3*t + 189*l**2*t + 547*l**2 + 1516599*t wrt l?\nAnswer: 9*l**2*t + 378*l*t + 1094*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*t**3 - 7*t**3 - t**2 + 2*t**3 - 219*t**4 + 220*t**4 + 2*t**2 to the form q + y*t**2 + a*t**4 + h*t + j*t**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5996 - 0.4996. Let l be 32\/(-18) + (-2)\/(-1). Sort -1\/7, 1, m, l in ascending order.\nAnswer: -1\/7, m, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*p + 5*p - 4*f, 2*f - 6 = 0. Let k = p - -3. Let a = k + 20. What is the greatest common divisor of a and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.9 minus 0.45051?\nAnswer: -83.35051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 3 + s + 3*s + 0. Let c be j(-2). Let w = -4 + c. Sort -1, 1, w in ascending order.\nAnswer: w, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16.30954289 from 43.8.\nAnswer: 60.10954289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 48*m + 55. Determine b(-5).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -2\/3 (c) 2 (d) -535\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 25956?\nAnswer: 25956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 26*z**2. Let c(l) be the third derivative of l**5\/15 - 17*l**2 - 67*l - 2. Determine c(d(s)).\nAnswer: 2704*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -13*z**7\/42 + z**6\/10 - 3*z**5\/20 - z**4\/12 + z**3\/2 - 619*z**2\/2 - 642*z + 1. Find the third derivative of g(k) wrt k.\nAnswer: -780*k**2 + 72*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 1. Let z(g) = 4*g**3 + 6*g + 4. Let s = 5 + -1. Let w(m) = s*h(m) - z(m). What is the second derivative of w(p) wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times 0.17782102\nAnswer: -0.26673153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49366284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 43. Let d be g(-22). Is d at least 13\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0 - 7\/3*k**3 + 14*k**2 + 7\/24*k**4 + 0*k. Let i be d(2). Solve -5*o - 3*g + 7 = -o, o + 5*g - 6 = i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 - -93. Let v = g - -22. Let m = -13 - v. Solve -8 = -5*j + m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2)*(-4)\/(-152)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 = 6*a, 0 = -3*j - 4*a + 23. Suppose -2*b = -3*h + 122, -4*h + 120 = j*b - 12. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506450 is divided by 25322?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + (-6 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 180?\nAnswer: -17\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032 + -1121121?\nAnswer: -1120023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 11:25 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 58*y + 4884. Give v(-84).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93251 by 7.\nAnswer: 93251\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -57. Suppose m = 4*u - 7. Let n(z) = -172*z - 9625. What is the remainder when u is divided by n(-56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 955225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {v: 3, k: 2, q: 1, d: 1, c: 3, j: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(9) - (sqrt(324) + 1*sqrt(324))) + 1*((2*sqrt(3) - sqrt(3)) + 2).\nAnswer: 10*sqrt(3)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -1, -17.\nAnswer: -55, -17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*c*m**3*t - 5*c*m**3 - 63*c*m**2*t - m**3*t - 3*m**3 - 55*m**2 wrt m.\nAnswer: 138*c*t - 30*c - 6*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*w - 9. Let n = 8 - w. What is the third derivative of 13*v**2 - 5*v**2 - v**5 - n*v**2 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/20075 and -1\/4015.\nAnswer: 20075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -349, -373, -399, -427?\n\"Answer: -d**2 - 21*d - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.514 + -0.56. Let j = p + 0.046. Let h = 0.1 - j. Which is the nearest to -0.1? (a) h (b) 0 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12070 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = 2*r - 10, -j - 14 = 2*r. Let z(g) = 2*g - 4. Let t(n) = n - 3. Let o be t(5). Let w(b) = -b + 7 - o*b + 0*b. What is r*z(h) - 3*w(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*h - 11805 = 1324 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -3. Let i be (7\/(-14))\/((-3)\/q). Suppose 2*v = m + 205 + 34, -i*v = 2*m - 611. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 + 13*d**2\/4 + 35*d\/4 - 49\/4.\nAnswer: (d - 1)*(d + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q + 70. Let i be c(-20). Let b = i - -127. Let w(o) = -5*o**3 + 3*o**2 - 4*o - 9. What are the prime factors of w(b)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 16*s + 12. Let g be r(-17). Calculate the smallest common multiple of 6 and g\/(4 - 145\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r - 6*r - 18. Solve 6 = 3*t - r*t + 3*i, 5*t = 2*i - 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 7*w - 2*w - 20, -169*w + j - 3 = -168*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z - 9*z + z**3 - z - 3 + z**2 in the form c + h*z**2 + p*z + s*z**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*k + 17 = -77*k + 2*a, -5*k - 2*a - 25 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77611 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6634019 or -165850462\/25?\nAnswer: -6634019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvggjfrr. What is prob of sequence gjd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + q - 128 = -2*q, 4*q = 0. Let m = p - -35. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (52\/(-5))\/((-1)\/(-5)*(-88 + 87)). What is the greatest common factor of i and 2756?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, l: 1, m: 1, i: 1, t: 2}. What is prob of picking 2 l and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 357326 smaller than -274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 4*(-35)\/(-20) - -137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -7\/2. Suppose 6 - 2 = 2*s. Suppose -3*m = -5*m - s. Put 0.01, i, m in increasing order.\nAnswer: m, 0.01, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -13. Let n(w) = w + 9. List the prime factors of n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3068 - -4376. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l + 236 = -23*l. Let z be l\/14 - (-9 - 2167\/(-231)). What is the third biggest value in z, 5, -1\/5, 1\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 13*u**2 - u + 2. Let p(k) = -k**3 - k**2 + k - 1. Let j(d) = -p(d) - z(d). What is j(14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbjfaj. What is prob of sequence jb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -49060, -49058, -49056, -49054, -49052, -49050?\n\"Answer: 2*p - 49062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -5*r - 9, r = -3*g - 0*r + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -367*o**2 - 3*o - 209*o**2 - 170*o**2 in the form w + g*o**2 + v*o and give g.\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 3. Let y be u(4). Let x be 0\/2*1*y. Suppose x = m - 8 - 3. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 931944 and -21.\nAnswer: -19570824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2337 (base 11) in base 9?\nAnswer: -4175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 361169?\nAnswer: -361177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.4, -2\/5, -0.2, -3294951?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 57*j. Let u(q) = 162*q - 2. What is l(u(y))?\nAnswer: 9234*y - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*4*sqrt(78)*5)\/(2*sqrt(384) + (sqrt(6) + (sqrt(6) - (-2*sqrt(6)*3 + sqrt(6)) - sqrt(6)) - sqrt(6)))*4)**2.\nAnswer: 1331200\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-33)\/(-2)*220\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-2 + 5 - 10 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 27*s - 94. Let p be q(-3). What is the hundreds digit of -1 + 7\/p + (-64935)\/(-225)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -733331*c + 7. Let d be -3 + 2 + 5 + -1. Suppose -d*k + 12 = -7*k. Let a be q(k). What is a rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43281 and -0.2.\nAnswer: -8656.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 100\/6 + 4\/12. Let w(s) = s**3 - 6*s**2 - 2*s + 2. Let r be w(6). Let q = r + m. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129639 to the power of 1\/2, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 5*f**2 + 2*f - 3. Let k(z) be the third derivative of z**4\/24 + 3*z**2. Let o be k(-3). Is 9 a factor of n(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 8}. What is prob of picking 2 g and 1 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7484 and 104?\nAnswer: 194584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6877*j + 6886*j - 3*h = -39, -3*j = h + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (122*(-3)\/(-48))\/((-2)\/4) and -17\/57.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 77.2. Sort -1, k, 9.\nAnswer: -1, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 498 + -472. Solve 0 = -5*v - b + 26 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 2, -0.3, 478?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27*6 + -1 + -1 + 3. Suppose 0 = -q*g + 168*g - 25. Which is the second smallest value? (a) 1.4 (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (640 - -86)*(0 - (-1)\/3). What is the greatest common divisor of l and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 11*l - 258 = 0. Let n = 46 + l. Suppose -3*k = -4*q - 0 - 7, 0 = 4*q + 4*k. What is the third smallest value in q, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-3 + 1 + 1). Let u(t) = -t**3 + 6*t**2 - 37*t - 304. Let l be u(-4). Solve j + 2 = c, -8*y + 4*y - 4 = -l*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/773 or 1?\nAnswer: 4\/773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccieitczzcfz. What is prob of picking 1 c and 1 f?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1363055, -1362738, -1362423, -1362110, -1361799, -1361490?\nAnswer: -1361183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227\/188 + -2\/47. Let z(y) = -y**2 - 38*y - 352. Let p be z(-21). What is the fourth smallest value in p, j, 0.3, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 11*r - 5*t = 10, 11 = r + 3*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -47517, 3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7505, 14560, 21613, 28664?\n\"Answer: -h**2 + 7058*h + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 - 39 = 2*k - 5*h, 0 = 2*h - 4. Let i = -94 - k. What is the tens digit of (i + 3)*33 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (33 + -34 - (2 - 7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j = -31*j + 171 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {l: 1, h: 8, f: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/((-45)\/(-42) + -1) - 2. Suppose -2*w - 5*k + 325 = 0, 3*w + 5*k - 465 = 2*k. Let h = w + -106. Calculate the greatest common divisor of h and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -549*w + 122*w + 48*w + w - 2*w + 2*w - 2*w + w + 0*w - w + 0*w + 3*w + (-w - 2*w + w)*(-1 - 1 + 1) - 2*w + 3 - 3.\nAnswer: -377*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4\/13 + 100*x**3\/13 + 400*x**2\/13 - 24580*x\/13 - 1914 = 0.\nAnswer: -33, -29, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, s: 2, x: 3}. What is prob of picking 1 y and 1 s?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 34. Calculate the remainder when w is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324 (base 6) to base 10.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 17*s**2 + 12*s + 30. Let y be p(-9). Solve -y*w + 3 = 3*k, 2*k + 11 = w - 2*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 18\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 208 - 7?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2232759012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -135577630 to the nearest one million.\nAnswer: -136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a8 (base 14) to base 5.\nAnswer: -30122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -137?\nAnswer: 27.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 2)\/(2\/(-4)). Let r(v) = 1 + 2 - 4 - v**t. Let l(u) = -u**2 + 2. Let x be l(2). Calculate r(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**3 + 2*a**3 + 2*a**4 - 3 - 27*a + 24*a as f*a**3 + s*a**2 + g*a**4 + h + r*a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 11:50 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/1485 and 86\/375.\nAnswer: 37125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2. Let m(j) = 2 + 678*j - 625*j + 4. Calculate t(m(q)).\nAnswer: -14045*q**2 - 3180*q - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1976607899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t - 26. Suppose -18 = -3*d + 3*r, -2*r = -3*d - 0*r + 16. Let m be c(d). Is (m\/(-10))\/((-2)\/(-17210)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-105)\/(-63))\/(2*(-2)\/(-12)). Let h be -5*(m + -3 - 1074\/15). Calculate the highest common divisor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - 4.02. What is the smallest value in 3, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/2 + 1759*z**3\/2 + 10517*z**2\/2 - 1759*z\/2 - 5259 = 0.\nAnswer: -1753, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5317 = -39*k + 8618 + 6059. What is the smallest common multiple of k and 36?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*w**4 + 0*w**4 + 27*w**4 + 41*w**4 - 6 wrt w?\nAnswer: 248*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 3, 295, 0.0545?\nAnswer: 0.0545","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2162000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 36*z**3 - 3*z**2 + 3*z + 53. What is the units digit of p(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.058 - 96.058. Let m = r - -94. Which is the closest to m? (a) 1\/3 (b) -0.9 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2222544*b**2. Let x(d) = 3*d. Calculate x(c(m)).\nAnswer: -6667632*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -7\/12*j**4 + 0*j**3 + 0 - 13*j + 0*j**2. Let v(x) = 2*x. Determine v(m(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 32. Let f = m + -24. Put 5, -3, f in ascending order.\nAnswer: f, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b - 12 = 0. Factor -16*p**3 - 52*p**4 - 23*p**4 + 35*p**2 + 13*p**2 + p**3 - b*p.\nAnswer: -3*p*(p + 1)*(5*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 526191, 526178, 526165, 526152, 526139?\n\"Answer: -13*w + 526204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 647 + -592. Calculate the smallest common multiple of t and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 624184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 18*i**3 - 89 - 17*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -223.4906492 + -0.5068108. Let w = n - -224. Round w to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + 21. Let t(f) = f - a + 89. Let v(p) = -2*p**2. Calculate t(v(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -565093.499 + -420.501. Let w = x - -565476.0043. Let q = 38 + w. What is q rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -862580 and 1.1.\nAnswer: -862578.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + 0.6. Let x = -1 - l. Is 1 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qggqxeh. Give prob of sequence xqg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26, -3, -56, -145, -282, -479, -748?\n\"Answer: -2*u**3 - 15*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - 4*t)*(-2*t - 2 + 2)*(-2*t + 3*t + 0*t)*(-10819*t + 5081*t - 9 + 5215*t).\nAnswer: -2092*t**4 - 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 28, 51, 82, 121, 168?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 23. What is the nearest to -1 in a, -2, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1633?\nAnswer: 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**9\/n**(-2\/57) assuming n is positive.\nAnswer: n**(515\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t + 3*t**2 - 38*t + 72*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10 + (-11)\/(-5). Let i be r\/(-3) - (-285)\/9. Suppose 3*t - 2*p = i, -p + 40 = 4*t - 4*p. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*u - 73 = -18, 5*s - 3*u - 55 = 0. Solve -i + 4*q - 2*q = 3, -q - s = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**2 + d + 4. Let v(f) = -8*f**2 - f - 5. Suppose -n = 2 + 2. Let w be n\/(-14) + (-132)\/(-28). Give w*v(k) + 6*o(k).\nAnswer: 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6338 and 124.1.\nAnswer: 78.65458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37.29759nm?\nAnswer: 0.03729759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 8. What are the prime factors of 3 + (4 - (0 - l))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0267 and 0.21?\nAnswer: 0.005607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2293 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39504855?\nAnswer: 3, 5, 13, 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 72923*u - 1166768. Determine l(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, -1, -31.\nAnswer: -31, -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {m: 2, i: 9, l: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 48 = l. Suppose -l - 13 = -5*i. Suppose 0 = -3*h + 31 + i. What is the highest common divisor of h and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 0*u + 17\/3*u**3 + 0*u**4 + 0*u**2 + 17 - 14\/5*u**5. What is the third derivative of k(t) wrt t?\nAnswer: -336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 8*o**2 + 18*o + 11. Let h be d(10). Let a(u) = -17*u - 16. What is the hundreds digit of a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4670 is divided by 156.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**2 - 5*w - 1. Suppose -6 = m - 4*b + 4, 4*m = -2*b - 22. List the prime factors of d(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - u + 1. Let n = 507 + -506. Let h(t) = 6*t**2 - 6*t + 1. Give n*h(l) - 5*o(l).\nAnswer: l**2 - l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2434.4 * -657.\nAnswer: 1599400.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-3\/17)))\/(b**(-8\/3)\/b*b))**31 assuming b is positive.\nAnswer: b**(3937\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/32, 3, 29, 1\/7, -5, 1162.\nAnswer: -5, -13\/32, 1\/7, 3, 29, 1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 2 - 6*p + 2*p)*(0*p**2 - 2*p**2 + p**2) to d + h*p**3 + b*p**2 + c*p and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -4, -2, 0.03 in decreasing order.\nAnswer: 0.03, -2\/17, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 96*z**2 - 482*z + 2451. Give w(91).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 14 = -5*f, 4*n + 9 - 3 = -5*f. Suppose f*a - 2740 = -0*a. Suppose -a = -3*x + 757. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000238032 rounded to seven decimal places?\nAnswer: -0.0000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/7*x**4 + 6\/7*x**3 - 8\/7*x - 2\/7*x**5 - 8\/7*x**2.\nAnswer: -2*x*(x - 2)**2*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3968460, 3968465, 3968472, 3968481?\n\"Answer: o**2 + 2*o + 3968457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44011612 or 44011613?\nAnswer: 44011612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffaffawffwfwafaw. What is prob of sequence fwf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 10:56 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4972226*v + 94472294. What is k(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from kskskkkssskk.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67486 + 67455 = 5*j + o, 0 = -j + 3*o + 141 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 13*z**3 + 4*z**2 + 4*z - 4. Let r(t) = 208*t**3 + 65*t**2 + 65*t - 65. What is 4*r(m) - 65*x(m)?\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 7*k - 2*k. Let g be 0 + 60\/(1 + -3). Let o be (1\/5)\/((-6)\/g). Put k, 4, o in decreasing order.\nAnswer: 4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 78 + 87. Let w = -13 - y. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.115 + -0.115. Let n = s + -67.0031. What is n rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllcbxlllcl. Give prob of picking 1 b and 1 x.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:24 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -2.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 76*a - 988. Let p be x(13). Solve 2\/5*m + p + 1\/5*m**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) 0.08 (c) 342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 11. Let w(h) = 65*h - 1. Calculate r(w(b)).\nAnswer: 260*b + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72968 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by ((-6)\/5)\/(3\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -0.1, -3, 0.031 in increasing order.\nAnswer: -3, -0.1, 0.031, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x**3 + 76*x**2 - 96*x. Let d(c) = -2*c**3 + 15*c**2 - 19*c. Let w be ((-30)\/(-50))\/((-4)\/(-20)). Let a(u) = w*n(u) - 16*d(u). Factor a(l).\nAnswer: 2*l*(l - 4)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5361950530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157*d**2 + 12*d - 24700 wrt d.\nAnswer: 314*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -622760*j**4 + 865173 wrt j.\nAnswer: -2491040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 14 - 22 + 2*o)*(2 - 2 + 2*o**2).\nAnswer: 4*o**3 - 106*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -3 + -2 + 3 + 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-6))\/((-12)\/(-54)). Suppose -d*c - 6 = 6. Which is smaller: c or 2\/43?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-979)\/(-178))\/((-616)\/(-84))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530428.\nAnswer: 2, 132607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*f*i**2*j**3 - 8*c**2*f*i*j**3 + 2*c**2*f*j**3 - 668*c*f**2*i**2 + 16*c*f**2*j**2 + c*i wrt i.\nAnswer: -4*c**2*f*j**3 - 1336*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(7 - 3) - -3. Let m be 2 - ((-18)\/27 + b\/(-6)). Which is smaller: 3\/4 or m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 561884 and 10?\nAnswer: 2809420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-15))\/7*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115.82848 + -0.12848. What is r rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q**4 + 177*q**4 - 32*q**4 + 7*q**4 - 18*q**4 - 25*q**4 + (0 - q + 0)*(q**3 + q - q) to b*q**4 + r + l*q + c*q**2 + f*q**3 and give b.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 7*i - 15 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqvq when four letters picked without replacement from vvvvvvqqqmqqqvmvqvvv?\nAnswer: 77\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, q: 7}. Give prob of sequence rq.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*l - 724*a - 269 = -723*a, 3*a = 20*l - 71 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87510920.\nAnswer: 2, 5, 7, 37, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 6:23 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((2046\/155)\/22)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 2, -2\/61?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 8}. Give prob of picking 1 x and 1 d.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/14*(-42)\/(-36).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 7*v - 5*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 969, 2014, 3103, 4236, 5413?\n\"Answer: 22*x**2 + 979*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, p: 2, h: 1, r: 2, i: 1, y: 6}. What is prob of sequence briy?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 1090. What is p(-34)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 3 + -5 - -1 - (-21)\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -2356, -7616, -17664, -34048, -58316?\nAnswer: -92016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7140 by 532.\nAnswer: -255\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976 is divided by (-36)\/63 - (-47820)\/140?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u. Suppose u = 7*o - 3*o. Let r = 10 - o. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25145568 divided by -24\nAnswer: 1047732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*4.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 1 + 1.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (-5*(sqrt(66) - 2*sqrt(66)) - sqrt(66)) - 3*-2*sqrt(66))\/(3*(sqrt(6) + 4*(sqrt(96) + sqrt(6))))*-4.\nAnswer: -4*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8992 and 1140736?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 89557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, d: 6}. Give prob of sequence yd.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b + 10*b + 5*b + 4*o - 102, -4*b + 5*o + 57 = 0 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 39 = -37. Suppose -3*i + 8 = -b. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1226 and 316883825602.\nAnswer: 316883825602.1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 - 1. Let i = 5 + 10. Suppose 2*d = -5*r + 7 + i, 3*d - r = -1. What is the units digit of y(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 5. Let y = 0.0525 - 0.1525. What is the nearest to -2\/5 in d, -0.02, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 370, 975, 1818, 2899, 4218, 5775?\n\"Answer: 119*s**2 + 248*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 3:25 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 16722209\nAnswer: -5\/16722209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -111*m**5\/10 + m**4\/6 - 31*m**3\/3 - 241*m. What is the third derivative of k(n) wrt n?\nAnswer: -1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 430 + -428. Let m(x) = -2 + 1407*x**2 + 2 - 1524*x**y. Let q(b) = b. What is m(q(u))?\nAnswer: -117*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.4 in -1, 0.5, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403, 2220, 7085, 16522, 32055, 55208, 87505, 130470?\nAnswer: 185627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q**2 - 16*q + 8. Let d(r) = 7*r**2 - 10*r + 5. Let h(a) = 8*d(a) - 5*l(a). Let b(t) = 5*t**2 - 10*t. What is b(h(i))?\nAnswer: 5*i**4 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81246.6ng to tonnes.\nAnswer: 0.0000000000812466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 = -4. Let t = -3.4 + -0.6. Let x = -6.5 - -6. What is the second smallest value in q, t, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19016 - -2?\nAnswer: 19018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.108603259 to five decimal places.\nAnswer: 0.1086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 680 - 528. Suppose -5*x - 137 = -3*j - 0*j, x - i = -4*j. What is the remainder when 64 is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004241363212 to four decimal places.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 260603285041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-30) - 8843\/(-1195)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 15*u. Let z be i(-15). Suppose 2*q + z*q = -2*a - 62, -4*q = -5*a - 182. Let y = 128 + a. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10284 - 71984\/7. Does 1\/18 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 27. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-40)*-66*1\/3. Let f(n) = -14*n**2 + 1. Let z be f(1). Which is greater: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + 2*sqrt(1872) + sqrt(1872) + 4 + sqrt(1872))**2.\nAnswer: -96*sqrt(13) + 29953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhbhhbhbbhhhhhhhhh. Give prob of sequence bh.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3174 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.071 and -1.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3714 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -7.37752558665.\nAnswer: -6.87752558665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(12\/(-2)) - (-3735)\/27. Let x = s - -507. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7412783\/297 + -24959. Let y be 50900\/19008 - 0\/2. Let n = k - y. Calculate the common denominator of 47\/16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 27471318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 143987005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 - 366518444*b - 16791971224022642 = 0. Calculate b.\nAnswer: -91629611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/27 + 13\/216. Let n be (6\/(-4) + 1)*4. What is the closest to u in 1, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*l - 14 = 32, 5*p - 65 = -l. Suppose -292 = -47*m - 57. Let c be (24\/4*m)\/((-12)\/(-48)). Calculate the highest common divisor of p and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2 - 3*d - 3. Suppose -3*w + 0*m - 9 = 3*m, -4*w + 4*m = 4. Give r(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 0*f**3 + 0*f**3 - 2*f**3. Let j be 1 + -1 + 8\/4. Suppose 0 = 2*n, 0 = g + j*n - 1 + 2. Give y(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (6 - -1) - (4 + -10 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58368063 is divided by 4321.\nAnswer: 4316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68 - 645818217.\nAnswer: -645818285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 1. Let h be q(3). Suppose -h*y + 63 = y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 + 37 + 14 - -72\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -59. Is (-2)\/h*(16 + 263) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 2*k**2 + 4*k + 2. Calculate z(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 15) to base 7\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*c**2*v**3 + 3*c**2*v - 3540489*c*v**5 + 6748*c*v**2 - 364 wrt v.\nAnswer: -60*c**2 - 212429340*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(3\/2)\/h)\/h)\/h*h\/(h*h*h\/(h*h*h**5*h)*h))\/(h**(2\/5)*h**(-6)) assuming h is positive.\nAnswer: h**(101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-24)*(-7 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -986, -245, 496, 1237?\n\"Answer: 741*m - 1727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**9\/56 - 15*u**8\/56 - 17*u**5\/60 - u**4\/12 - 7*u**2 - 84*u. What is the third derivative of d(h) wrt h?\nAnswer: -1080*h**3 - 5400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3*b + 4, 4*q - 1 - 18 = -5*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63852 and 270198.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -508?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(200)*3)\/((sqrt(280)\/sqrt(112))\/sqrt(4)).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiviu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-8))\/3*(-108)\/(-243). Which is the smallest value? (a) -3 (b) 1\/14 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**3 + 1385*v**2 - 34995*v + 33615 = 0. What is v?\nAnswer: 1, 27, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -19) + -5 + 20 + -77.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 19. Suppose -w*s + 2*o + 176 = -0*s, s - 34 = 3*o. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*n + 3*n = 146, 5*n - 10 = 0. Let z = 72 - j. Suppose -z = -2*l - 96. What is the remainder when 23 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*r + 31, 27 = -5*c - 5*r + 32. Solve -c*o = 19*o - 23 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 47, 99, 191, 335, 543?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, u: 12}. What is prob of picking 3 u?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 535 and 13054?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**2 + 3*z - 2. Suppose 5*u - 6 = 4. Does 8 divide k(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2*y - y)*(-2 + 0 + 1) + (0 - 4 + 2)*(-3*y + y + 3*y) - y + 2*y - 3*y + 246 - 246 - 13*y + 4*y - y - 5*y.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**15*(o**1)**(-4\/13)*(o**(-1))**2*(o\/o**(-1))\/((o*o*o\/o**(-1)*o)\/o) assuming o is positive.\nAnswer: o**(139\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 448188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5365*u + 1757*u - 9335*u)*(u**2 + 6 - 6) to the form a*u**2 + d*u**3 + c*u + m and give d.\nAnswer: -12943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 135 = -2*t - 4*y, -97 = -2*t + 5*y. Let k = t + -37. Suppose -k*q + 154 = 3*q. Calculate the remainder when 84 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 279 = 240 - 273 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/110 and -67\/7086900.\nAnswer: 77955900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**3 + 17*t**2 - 13*t - 30. List the prime factors of i(6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23826 - -23821.95848. Let l = 22.04208 + k. Let o = -18 + l. What is o rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 212*k**2 - 246*k - 43. Is l(-45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -22 + 62 - 26 - 12 - 100*k. Let v(s) = 2*s. What is r(v(z))?\nAnswer: -200*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281, 5, -4, -2 in decreasing order.\nAnswer: 5, -2, -4, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 609 + -606. Solve j = -c*s - 6, -6 = 5*s - 0*s + 3*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*6\/(192\/20)*-26. Solve i*n + 20 = 190*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 124*r**3 - 7*r**2 + 22*r - 27. Let l(d) = -41*d**3 + 2*d**2 - 6*d + 9. Calculate 7*l(x) + 2*t(x).\nAnswer: -39*x**3 + 2*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -25590587 greater than or equal to -25590586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/60*3)\/(2\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -921, -920, -919, -918?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-18 - (-14 + 1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/10*(8\/6)\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {j: 1, c: 2, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**7\/1260 + g**6\/540 - g**3\/3 + 16*g - 37. Let h(b) be the third derivative of a(b). Suppose h(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 91.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -465 + 464. Let c = -714 - -1495\/2. Let p = c + -33. What is the third smallest value in 5, s, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*r - 52*r + 2 + 5*r**2 to i*r + x*r**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -210045, -420107, -630181, -840267, -1050365, -1260475, -1470597?\n\"Answer: -6*v**2 - 210044*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 23*q + 7)*(0*q + q + 0*q)*(-1 - q + 1).\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**3\/3 - 2*d**2 - 7*d + 31. Suppose -51 + 11 = 5*j. Let k = 14 + j. Determine p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 308*m**3 - 5028*m**2 + 27324*m - 36936.\nAnswer: -4*(m - 57)*(m - 9)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 - (-12 + (-24 - (-41 - 32)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/150 and (-38)\/25*170\/459?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 5. Let f(x) = x + 9. Let p be f(-7). Suppose 4*k + p*c = -4 - 20, -5*k - 31 = 2*c. Let s be b(k). Put -4, -1, s in ascending order.\nAnswer: -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. Suppose 0*g - d = -5*g + 106, j*g + 4*d = 59. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.74 + -0.54. Let o = 0.2 + 0.3. Let h = 7906 + -7905. Which is the biggest value? (a) h (b) -1 (c) o (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/13 - -6\/65. Let k be (-21)\/539 + 2\/11. Which is the nearest to 2? (a) -1\/5 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 268698*l\/5 + 53740.\nAnswer: -2*(l - 1)*(l + 134350)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 806879389*i**3 - 491588399*i**2?\nAnswer: 4841276334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.6041706 millennia?\nAnswer: 60.41706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1202.1+0.7\nAnswer: 1202.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 7*q + 1. Let j(y) = -7*y**2 - 15*y - 2. Let m(f) = -2*j(f) - 5*k(f). Let a be m(-3). Let l be 0*((0 - 4) + a). Solve -2*h = -l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiyiyiiiiiiiyiyy. What is prob of picking 3 i and 1 y?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o + 4*o - 234 = 0. Let a(t) = 14*t - 3. Let g(i) = -5*i + 1. Determine o*a(s) + 17*g(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3330, -3326, -3320, -3312, -3302?\n\"Answer: x**2 + x - 3332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27576959.\nAnswer: 27576959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 3319*j + j**2 - 72 + 3*j**2 - 3318*j + 6637*j.\nAnswer: 4*j**2 - 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22c43 (base 13) in base 9?\nAnswer: 106215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*4801368\nAnswer: 480136.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 - -4 - 30\/(-3). Solve 5*j + 21 = -o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + 21 + -49 + 19\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2011 - 189. Let f = n - 1274. Suppose -4*w = -3*x + 5507 + f, -1530 = w - 4*x. What is w rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.28 + 0.02. Let q = i - -0.7. Let r be ((-8)\/(-12))\/((-2)\/9). Which is the closest to q? (a) r (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k - 1. Let w = -3 + 2. List the prime factors of f(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*sqrt(104) + sqrt(104)))\/(3*sqrt(72)).\nAnswer: 4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 281881, 281884, 281889, 281896?\n\"Answer: x**2 + 281880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -126 + 53*u + 14*u - 15*u - 11*u. Let n be j(3). Sort n, 3, 4, 1 in increasing order.\nAnswer: n, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13703, -54814, -123367, -219392, -342919, -493978, -672599?\n\"Answer: -5*v**3 - 13691*v**2 - 3*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 50\/42 - 6\/(-42).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = 5*l. Solve l = f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184714 - 77715. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/3*(-9)\/2. Suppose -h*z + 2*z + 20 = 0. Suppose 0*s = -z*s + 40. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.96*83\nAnswer: 1158.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53\/34 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 27, 54, 91, 138, 195?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1434 + 1.1734. Sort r, -7, 3\/37, 3.\nAnswer: -7, r, 3\/37, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909035920?\nAnswer: 2, 5, 13, 83, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/7, 15, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 162*h**5\/7 + 2673*h**4\/7 + 5643*h**3\/7 - 762*h**2\/7 - 5532*h\/7 - 312 = 0.\nAnswer: -14, -13\/6, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 152197 = 2*w, -w + 0*w = -3*s - 76082. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1755 = y, 0 = 5*p + 3*y + 41 - 2222. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000050481577 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*o**3 - 9*o**3 + 4*o**3 - 51 - o + 3*o wrt o.\nAnswer: 9*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310314 (base 6) to base 4\nAnswer: 12002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 977 + -976.9. Which is the fourth smallest value? (a) -1 (b) f (c) 2\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Let b(z) = t*z**3 - 3*z + 8 - 6*z + 8*z**2 - 2*z**3. Is b(-9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141511996019 - 223\nAnswer: -141511996242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1874403, 1874401, 1874399, 1874397, 1874395?\n\"Answer: -2*m + 1874405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 2*b**2 + 4 - 6 + 0*b - 2*b. Let m be i(3). Which is smaller: -16 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*10\/54 - (-4)\/18. Let j = -0.05 + -0.15. What is the second biggest value in j, h, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*j + 2*j - 318 - 436 = 1190 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*k**2 + 29*k**2 + 28*k**2 + 19*k**2.\nAnswer: 122*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5 - (-204)\/10. Suppose -2*u - 6 - 4 = 0, u = 3*k - f. Solve 5*x - 20 = -2*s - 5, -5*x = -k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2*q**5\/25 - q**4 - 8*q**3\/5 + 72*q**2\/5 - 17. Factor l(r).\nAnswer: -2*r*(r - 2)*(r + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-27499)\/(-10) + 8\/80?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -26 - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 677249640 - 677249640.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-28 - (-23 + (-78 - -6)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6948, 21, -4, -5 in descending order.\nAnswer: 21, -4, -5, -6948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, -19, 0.\nAnswer: -19, -16, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 3. Let l(n) = -3*n - 18. Let w be l(-5). Calculate p(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 3*z + z + 0*z + 0*z + z + (-3 - 2 + 4)*(-z - 1 + 1) - z - z + 3*z + 0*z + 0*z - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/3)\/((3 + (-81)\/36)*-4). Put 8, 4, -1, l, -7 in ascending order.\nAnswer: -7, -1, l, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/7 + 2514*b\/7 = 0. What is b?\nAnswer: 0, 1257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-6)*(87880\/(-910) - -88)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215220 divided by -6.\nAnswer: 35870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2221667, 0.4, -4\/3, 0.9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 4. Let g be z(2). Suppose g*d - 6 = -d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 2. Let a(f) = -4*f + 2. Let t(z) = -2*z**3 - 3*z**2 + z + 3. Let r be t(-2). Suppose 0*h + r = -h. Let w = -20 + 16. What is h*i(c) + w*a(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -9) + -11 - -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 - 378*d**2 - 735*d + 1116 = 0.\nAnswer: -124, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197 + 224. Suppose 4*k = v - 16, -2*v - 5 = 3*k + 7. Suppose v*q - o = -3*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 greater than or equal to -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 47 - (3\/(-9))\/(114\/(-108) - -1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, 1\/3, 0.4.\nAnswer: -0.3, 1\/3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 17*z**3\/6 - 25*z**2\/2 - 17*z. What is the derivative of l(k) wrt k?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -526 - 8c4?\nAnswer: -dea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10100010001 (base 2) to base 10\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -58, -71, -88, -109?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 3*t - 1. Determine j(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -33. Let s = o - 9. Suppose -8*w - 331 = -2*k - s*w, 0 = 2*k + w - 325. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 4:27 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 + 135. Suppose -675 = -3*y + 4*m + m, -y - 4*m = -d. Let p = y + -147. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 586 = -5*x + 616, -4*x = -5*k + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726299.\nAnswer: 7, 31, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - j - 1427 = -4*l, 2*j = 3*l - 2139. Suppose 0 = 4*x - 4*f - 3740, -4*f - 211 = -x + l. Suppose -5*k + x = -117. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7275, -7274, -7273, -7272?\n\"Answer: c - 7276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70820 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbz when three letters picked without replacement from {z: 2, g: 7, b: 4, c: 4, t: 1}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 - 3*q. Let s(g) be the third derivative of -g**5\/30 + 25*g**2. Give d(s(b)).\nAnswer: 16*b**4 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/5 + 377*k**3 - 3785*k**2 + 9475*k.\nAnswer: k*(k - 5)**2*(k + 1895)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*i + 1 = -3*i, u + 3*i + 2 = 0. Calculate the remainder when u is divided by (-21)\/14 - 9\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/898536 and 40\/7.\nAnswer: 6289752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-36)\/(-10) - (-13805)\/(-175). Which is smaller: -80 or m?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47\/30 - 7\/6. Which is the closest to k? (a) 3 (b) 2\/9 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -460*w - 5. Let m(v) = 235*v + 2. Calculate -3*b(d) - 7*m(d).\nAnswer: -265*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 473691145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, 1\/5, 0.02, -1\/3 in descending order.\nAnswer: 1\/5, 0.02, -1\/15, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 7, -1939\/3, 5\/3, 1\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1. Let w = 32 + -34. Let s(z) = -z + 12. Give w*s(m) - 22*c(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11366*d**2*o**3 + d**2*o**2 - d*o**3 + 845*o**3 + o**2 wrt d.\nAnswer: 22732*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let h(r) = -7429*r - 1. What is z(h(t))?\nAnswer: 7429*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -19*a**2 - 95*a + 236. What is p(-8)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4*f - 154 + 34, -5*f + 4*n - 155 = -16*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 4*b - 1, -19 = 23*b - 27*b + f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 212 + -115?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 2*u + 99, -5*m + 363*u - 170*u + 165 = 188*u for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvv. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -193*i**4\/24 + 57*i**3 + 7*i**2 - 12*i. What is the derivative of t(h) wrt h?\nAnswer: -193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/60 + z**4\/6 + 2*z**3\/3 - 71*z**2 - z. Let t(s) = 3*s + 3. Give 2*m(h) - 3*t(h).\nAnswer: 2*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 - 2*y**4 + 3*y**4)*(2*y - 4*y + y) + (-y**4 + y**4 + 3*y**4)*(3*y - 3*y + 2*y).\nAnswer: 5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104544 + -1?\nAnswer: -104545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102.7 - -3.7. Let u = -87.1 - l. Let h = u - 12. What is the biggest value in h, -1\/2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132313132100 - -10?\nAnswer: 132313132110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 7:25 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25376 divided by 115.\nAnswer: 25376\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.28087261 rounded to two dps?\nAnswer: -4.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 6 + 16)*((2*z - 4*z + z)*(-z + 2*z + z) + 17*z**2 - 8*z**2 - 24*z**2).\nAnswer: -425*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/8624363 and -129\/1979362?\nAnswer: 120741082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171662882?\nAnswer: 2, 3, 13, 17, 43, 20549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j**3 + j**3 + 2*j**4 - 10*j**3 + 2*j**2 + j - 6*j**4 in the form q*j**3 + g*j + l + v*j**2 + b*j**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g - 79. What is the remainder when n(-16) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 186503, 186511, 186531, 186569, 186631?\n\"Answer: z**3 + z + 186501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-49)\/21*-3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 570618 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.403 - 0.103. Let r = -20.1 + z. Let t = r + 14.84. Round t to one dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 + 65. What is the second biggest value in 1\/4, y, -2, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/15))**23\/(d\/(d**4\/d*d))**(-37) assuming d is positive.\nAnswer: d**(-1619\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 + -0.19. Let d = 24.06 - 27. Let p = g + d. Which is the nearest to 0? (a) 4\/9 (b) p (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 2:58 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4466.312t in milligrams?\nAnswer: 4466312000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -670401734+511500\nAnswer: -669890234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 9) to base 12\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1382*d - 2186. What is the tens digit of c(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 - -1 - (0 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 + 0.29. Put l, 0.3, -1 in decreasing order.\nAnswer: 0.3, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 218, 303, 364, 395, 390?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7) + 48\/21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -1427?\nAnswer: 570.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 11:08 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + 5*h + h - 3*h - h + 2*h + (-1 + 2 + 0)*(h - 3*h + 0*h) + 2*h - 4*h - h - 5*h + 0*h + 4*h + (-3 + 2 - 1)*(h - 2*h + 2*h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 222796730 bigger than 222796731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d + 168 = 46*d. Let w be (-882)\/(-105) - (d\/(-5))\/(-3). Solve 2*i - 30 = w*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {o: 7, u: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 185 = 5*x + 4*d, -3*d - 143 = -4*x. Suppose 3*v - 5*b = v + 61, 3*b = 3*v - 78. Let z = x - v. What is the remainder when 34 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22, 3, 123, -10, 2 in ascending order.\nAnswer: -22, -10, -3, 2, 3, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**7\/630 + y**6\/144 - y**5\/90 - y**4\/48 - 63*y**2. Factor t(a).\nAnswer: a*(a - 1)*(a + 3)*(2*a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.5 in 0.1, 0.11, 3\/8, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 1342358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 18 = -0*f. Let w = 74 + -55. Let h = w + f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29721 * 0.5\nAnswer: -14860.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-854)\/549 - (8 + (-12167)\/1197)) + (-2)\/(-19)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-190)\/228 - (-58)\/12. Suppose j*x - 32 = -4. Solve 2*m + x = -2*i - m, 4*i = 5*m - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -268633 + 989633. Round y to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*o = -3*f - 20, 3*o = -2*f - 15. Let z be (-56 - f)\/((2 + 1)\/(-3)). Let i be 10\/4*z\/35. Solve -4*x + 5*g = 8, -g - g = -2*x - i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 246\/41*(-1)\/2*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = p + 13, 5*i + 4*p + 0*p = -7. Is 23 a factor of (i*(2 + -3))\/((-9)\/(-4296))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 11*x + 66. Let z be k(-5). Is z smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -197777 (b) -0.5 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-169\nAnswer: 11.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 1251*c - 360444.\nAnswer: 3*(c - 196)*(c + 613)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*v + 5 = 0, 5*v + 44 = 3*c + 3. Suppose 6*a - c*a + 67 = 0. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9011186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 3*r - l - 5, 4*r - 38*r - 13*l - 159 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*o**3*u**3 - 2*o**3 - 81*o*u**2 wrt u?\nAnswer: -312*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:14 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 11:20 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 71, 56, 25, -28?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -22*o + 54. Let s(u) = 21*u - 54. Let l(d) = -4*j(d) - 3*s(d). Let b be l(-29). Round b to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 7*n. Let s be r(7). Suppose 0*m - 2*m + 10 = 0. What is the second smallest value in -1, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*f + 8. Let d = -5 + f. Let t(p) = p**3 + p**2 - 1. Is t(d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 364952 and 10290?\nAnswer: 5474280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*p - 8\/7*p**2 - 2\/7*p**3 - 64\/7 = 0. What is p?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 + 23*a + 7. Let n be f(-4). Suppose -n = 52*z - 55*z. Calculate the highest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24696 = 50*d - 83546. Calculate the greatest common factor of 214 and d.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7116442 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (3 - -1) + -4 - (-2 + 27 - -6).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*v + 272 = 0. Suppose 331 + 269 = -10*r. Let h = r + v. Which is bigger: 11 or h?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0628 * -230.72\nAnswer: -14.489216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 3*w = 527, 5*n - 9*n - 420*w + 425*w = -7*n + 127 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2)*108\/81*-3. Suppose 3*v + 15 = l + b*v, -l + 4*v = -18. Calculate the remainder when 54 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 2*o**2 + o**2 - 4*o**2. Let i(v) = 16*v**2 + 0*v - 7*v**2 + 2*v. Let w(h) = 6*i(h) + 11*y(h). Let w(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*57*-2*34\/68.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 = -0*z, 4*h = -5*z - 14. Let u = h - -5. Which is the biggest value? (a) 1 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1368 by 2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75865524 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-38)\/(z\/(z*(z**(-2\/3)\/z)\/z))**(-1\/19)*((z\/z**(-1\/3))\/z*z**3)**30 assuming z is positive.\nAnswer: z**(10333\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -767 - -867. Let n = -95 + 43. Let g = o + n. What is the greatest common divisor of g and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (45\/12)\/((9\/(-24))\/1). Let c be (60\/50)\/(-2 - 23\/i). Solve 0 = -2*p + 4 + c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t - 7 - 2*t**2 + 16*t + 13*t.\nAnswer: -2*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-79)\/2*(-4)\/6. Let m = p + -25. Which is the second smallest value? (a) -4 (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (117\/(-78))\/(-1 - 8)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*29885.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 1a?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - -2*(-2 + 4). Suppose -28 = 2*a + u. Is 2*2721*(-3)\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 9. Let q(b) = 5*b + 8. Let d(g) = -2*j(g) - 3*q(g). Let m be d(20). Let l = m + 236. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2061.9 in -0.3, -0.1, 2, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 5. Let f(t) = t - 2. Let b be ((-81)\/(-6))\/(-9)*6 + -8 + 12. Let n = 3 - 5. Calculate b*f(h) + n*c(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 238\/60717?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**5 + 1615*u**4 + 7135*u**3 - 260035*u**2 - 273420*u + 524700 = 0.\nAnswer: -318, -15, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3584608845 to three dps.\nAnswer: 0.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100301322 (base 5) in base 4?\nAnswer: -1201231110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) - (-816)\/432. Let a(r) be the second derivative of 5*r + w*r**3 + 0*r**2 - 2\/3*r**4 + 0. What is the second derivative of a(p) wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -693065.\nAnswer: -693065.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -51 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2833397 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + -7 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120600901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**25*r)\/r**(-4))\/(r*r**(-8))**31 assuming r is positive.\nAnswer: r**199","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 6*g - 637. Let l be (-6825014)\/g - -3*4\/(-78). What is l rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*w + 2 + 3 + 1681*w.\nAnswer: 1344*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11981*n**3 - 26054*n**3 + 14065*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*c - c + 0*c - c + (-2 + 0 + 0)*(-5*c + 4*c - c) + 23*c + 73*c - 12*c.\nAnswer: 88*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-5) - (-130)\/(-225). Let h be 7*(-2)\/104 - 2. Let t = 18\/13 + h. Which is the second biggest value? (a) -2\/3 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 1:24 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 4, 1, 1\/4, -8\/7, 14.2, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12b (base 12) to base 8\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10*b + 4*b + 7*b. Let y(m) = 5*m**2. What is j(y(w))?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313095576?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 27*j**2 + 32*j - 7. Determine h(-12).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*g**3 + 409*b**3*g**2 - 5*b*g**2 - 779*g**6 wrt g?\nAnswer: 12*b**3 - 93480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14573 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 7*y + 2. Let o be b(4). Is 19 a factor of (-1)\/2*-57*8\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 = 60*x - 653 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 5, d: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118219a (base 11) to base 9.\nAnswer: -3767612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*m + 11*c - 6*c + 191 + 130 = -35, -5*c - 92 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.12562 (b) 2 (c) -2 (d) -12 (e) -0.1 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u - 58*u = -6*u + 957 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3356 and 4429081.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 93005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 377\/5, 1\/38 in decreasing order.\nAnswer: 377\/5, 4, 1\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7283720 to the nearest integer?\nAnswer: 2699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 3, -4 in ascending order.\nAnswer: -4, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 - 5) + -2 + -1. Solve 18 = 4*f + n, -n + 4*n - 14 = -h*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 59, 136, 265, 458, 727, 1084?\nAnswer: 1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*a**2 + 46*a**2 + a - a - 47*a**3.\nAnswer: -47*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*f**3*q + 8*d**3*f*q + 799*d**3*f + 115*d**2*f**3*q + 7*d**2*f**3 + d**2*q - d*f**3*q + 20*d*f*q wrt d?\nAnswer: -6*f**3*q + 48*f*q + 4794*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -94. Suppose -k = -3*h + 22, 2*h = -k - 2*h - 1. Let j = k + d. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 111. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19238 at most 19238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + q + q + (-1 + 2 + 1)*(-1 + 1 - 2*q))*(3*q - 3*q + 2*q**3) + 9*q**4 + 0*q**4 - 6*q**4.\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24306791087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 7*s**2 + 8*s. Let j be b(-8). Suppose 5*p + 0*p + 30 = j. Let u(z) = -4*z - 14. Calculate the lowest common multiple of 14 and u(p).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f. Let j(q) = -5508972*q**2 - 10063*q + 10063. Let y(s) = 3285*s**2 + 6*s - 6. Let m(h) = 6*j(h) + 10063*y(h). What is n(m(x))?\nAnswer: -6246*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0 - 7*t + 0*t**2 + 0*t**3 + 1\/6*t**4. Let f(a) = 5*a**2. Determine o(f(z)).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 10:24 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1207, -2414, -3607, -4780, -5927?\nAnswer: -7042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17) + 1)**2 + sqrt(17) + 3*sqrt(1700).\nAnswer: 69 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-12\/5)*h)\/h**21 assuming h is positive.\nAnswer: h**(-107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 11*l = 8. Let g be -2 + 7 + l + -1. Solve -18\/7*r - 4\/7 - 8\/7*r**g = 0 for r.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0, -0.1, -3 in ascending order.\nAnswer: -31, -3, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 = -2*s + 13, 2*c - 3*s = -9. Let l be 27\/18*(-64)\/c. Let v(h) = -2*h + 5. Let w(q) = -10*q + 26. Determine l*v(t) - 3*w(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*t = -45*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 20 = -10*y. Suppose -y*x + 10 = -94. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/3*(-80)\/(-3). Let n = -426 - -526. Calculate the highest common divisor of n and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -1 - (-909 - -902)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38, -196, -470, -860, -1366?\n\"Answer: -58*j**2 + 16*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (495\/25)\/3 + (-12)\/(-30). Let w(r) = -4*r + r**2 + r**2 + 0*r**2 - r**2 - 4. Calculate w(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6872 by 6156.\nAnswer: 1718\/1539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, a: 2}. Give prob of picking 3 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38 (b) 2\/9 (c) -3 (d) 0.2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 30 - 27 - 45*m + 15.\nAnswer: -45*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a decade in months?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 7*z + 6. Suppose 4*b = b + 48. Suppose -4*v + 20 = 0, 55*o - v = 54*o + 19. Suppose -o = -5*k + b. Give p(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173 or -172?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q + 78 = 4*o, -4*q = 3*o - 171. Let b = q + -45. Let f = 49 - 37. Solve -3*u + f = -b*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 2*a - 2*a)*(-113*a**3 - 4*a**3 - 37*a**3) - 3*a + a**5 + 3*a.\nAnswer: 155*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-80)\/(-60))\/((-1)\/(-6)). Suppose -j = -5*j + h. Solve 4 = j*i - 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 5*t = 72, 2*j - 260*t - 255*t - 18 = -516*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/19048 and -99\/2380?\nAnswer: 11333560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.803 - -1.197. Let y = -4.04 - -4. Which is the closest to y? (a) 3 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, k: 15}. What is prob of sequence ekee?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.92263243 to 4 decimal places.\nAnswer: -0.9226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(2\/27)\/(y**(1\/5)*y*y**3) assuming y is positive.\nAnswer: y**(-1681\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t + 7. Let x(n) = n - 1. Let a be (0 - -2)*1\/2. Let v(j) = a*z(j) + 4*x(j). Suppose -45*g + 18 = -36*g. What is v(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 239*r**2 + 544*r + 300.\nAnswer: -(r - 50)*(r + 1)*(5*r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 - 9*a**3 - 17*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*f*q**3*w**2 + 2*f*q**2 + 606*f*q*w**2 + 166*q**3 - 50*q**2 wrt w?\nAnswer: 38*f*q**3*w + 1212*f*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1126043 - 66?\nAnswer: -1126142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1140, 0.11, 2, 207, 1 in decreasing order.\nAnswer: 207, 2, 1, 0.11, -1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -69.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -973*p**3\/3 - 287*p. Let g(y) = y**2. What is g(j(u))?\nAnswer: 3786916*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 - 72*u**2 + u + 1. Let k be n(24). Let b be (-2)\/25 + 52\/k. Solve b*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 332*l - 7877. Calculate a(-30).\nAnswer: 1183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 4 + -7 - (6 - -32)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + k. Let p = 24750 - 24748. Let g = -1 - -2. Let s(z) = 2*z**2 - 2*z. What is g*s(q) + p*y(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/1694*14)\/((-2)\/22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (5 + -1 + (-6 + 5 - (4 + -3))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from aqmmffmuuzu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3420900 and 108600?\nAnswer: 6841800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1246928.8 to the nearest 100.\nAnswer: -1246900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {h: 2, y: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 200\/1227013 + 492269016509\/61350650. Let m = t - 8025. Let p = -1131799\/95110 - 1\/9511. Calculate the common denominator of p and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 902 and 902 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212.6 + 212.8. Sort -0.148, y, 0, 5 in decreasing order.\nAnswer: 5, y, 0, -0.148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.962 - 2.67. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5036174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 7*v**6\/30 - 13*v**4\/12 + 407*v**3\/6 - 343*v. Find the second derivative of z(g) wrt g.\nAnswer: 84*g**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 - 3*g**2\/2 - 6*g + 16.\nAnswer: (g - 8)*(g - 2)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -3\/154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {w: 12, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1982070, -1, 0, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 33*k - 13. Let v be h(1). Suppose 8*b + 4*s = 13*b - v, 2*b + 2*s - 8 = 0. Calculate the remainder when 14 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*q*w**3 + 477*q*w + 27218*w**4 - 54*w + 1 wrt w?\nAnswer: 42*q*w + 326616*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3977281 is divided by 994209.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 855\/(-760) - 822\/(-816).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/7052904 and -179\/1380.\nAnswer: 35264520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + l + 9*k - 2300 = -2285, l + 3*k = l - 3 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*g**2 + 1462*g**2 + 188 - 188 to the form v*g + o*g**2 + h and give o.\nAnswer: 1580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(1*8)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25172, 50387, 75618, 100865, 126128, 151407?\n\"Answer: 8*m**2 + 25191*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27893815 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2007*n - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x**2 + 3*x - 7. Is r(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 601 + -376. Let k be 4*(q\/12 + 1). Suppose b - 19 = -i + 2*b, 5*i - k = b. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-6))\/(20\/(1000\/(-25))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25 - 2527*g - 269*g - 3*g**3 - 1080*g - 230*g**2 + 25 wrt g?\nAnswer: -18*g - 460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 4*w**7\/105 + 13*w**3\/6 - 3*w**2. Let n(j) = 2*j**4 + 3. Let i(c) = -9*n(c) + 2*p(c). Differentiate i(f) wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*w - 10, -5 = -3*w + 3*x - 7*x. Let p = w + 7. Suppose 0 = 3*j - p*j. Solve 4*k + 3 + 9 = j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, 1, -0.083 in descending order.\nAnswer: 1, 0.5, 0, -0.083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 46 + 6*a + 5*a + 7*a + 4*a. Let t be c(-2). Factor -1 - 1\/3*y**t + 4\/3*y.\nAnswer: -(y - 3)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 34204030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 3. Let i(j) = -4*j + 0 + j + 2. Let o be 1\/((-12)\/4564) + 4\/3. Let r = 375 + o. Give r*n(s) - 6*i(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 29568*f + 147841. What is q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2997 divided by 37\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -3, -16270, 1, 3 in descending order.\nAnswer: 4, 3, 1, -3, -4, -16270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 528*((-11086)\/1104 + 10)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, o: 11}. What is prob of picking 1 o and 2 v?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, -30, -37, -38, -33, -22?\n\"Answer: 3*y**2 - 22*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 5:52 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*b + 108, -12*b + 7*b = -n - 123. What is the lowest common multiple of b and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(-2*sqrt(10))*-2)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 = 3. Let a(d) = 3*d**2 - 2*d - 2. Suppose 30 - 85 = -5*s. What is the smallest common multiple of s and a(h)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 2 - 3 + 3)*(-2*t - 3*t + 4*t) in the form i*t + v*t**2 + l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - z + 8. Let j be y(4). Suppose 0 = -4*c, -10 = -v - 4*v - c. Solve -v*i + j = -6*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27517559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 837*k + 4. Let l be v(0). Sort 1, l, -1642.\nAnswer: -1642, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 23, 16, 11, 8, 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -62 - 7950638\nAnswer: -7950700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18db71 (base 15) to base 14.\nAnswer: -23739d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7862 is divided by 2617?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -704.0441 + 704. What is p rounded to three dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2. Let c(n) be the second derivative of n**5\/30 - n**2 - 2*n. Let v(i) be the first derivative of c(i). Determine u(v(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2\/7 (b) -86 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 226. Let s be f(-43). Let d = s - 181. What is the second smallest value in d, -131, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 - 7*i**2 - 7*i**2)*(-i + i - 3*i)*(i + 2*i - 5*i) in the form u*i + g + z*i**3 + w*i**4 + l*i**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*v**2 - 34*v**2 + 19*v**2.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(19) + -2 + (sqrt(19) - 1*(sqrt(19) + -1)**2).\nAnswer: -22 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 340720251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17469 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) 0 (c) -1\/5 (d) -1.8 (e) 2 (f) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1457834?\nAnswer: -1457836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 25?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2023575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = 116*n - 2574 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8336741 millilitres to litres.\nAnswer: 0.0008336741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - u**2 + u + 1. Let y(s) = -8*s + 12*s + 9*s**3 + 9 + 4*s - 8*s**2. Let l(b) = 24*n(b) - 3*y(b). What is the first derivative of l(m) wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -320, -318, -316, -314, -312, -310?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 924*v - 1540. List the prime factors of p(8).\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2020726?\nAnswer: 6062178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/5 + 8\/5*a + 2\/5*a**2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/32)\/((-70)\/(-8) + -2). Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {u: 5, d: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 59626.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -431 - -188. Let n = z - -245. What is the third smallest value in 3, 21, -2, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10122220 + 210102112?\nAnswer: 221002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-20)*((-6035)\/442)\/(-71)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988138599738 + 1?\nAnswer: 2988138599739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496193171, 496193170, 496193167, 496193162?\nAnswer: 496193155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -0.5, 1\/3, 1 in increasing order.\nAnswer: -0.5, 0.13, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2930 + -65408523.\nAnswer: -65411453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g - 100020 = 0. Suppose 0 = -4*y + t - g, -2*y - 2*t = 3954 + 6038. What is y rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8 (base 14) to base 8.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 4*g + g)*(-3610337*g - 4818*g**2 + 3610337*g) as y + f*g**3 + v*g**2 + r*g and give f.\nAnswer: 9636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + g)*(18*g - 15*g - 8*g + 2)*(-2 - 5 + 6).\nAnswer: 5*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/9 + 9442*h**2\/3 + 10077438*h - 69526405270\/9.\nAnswer: 2*(h - 635)*(h + 7399)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13087 is divided by 12679.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.23 + 9.55. Sort 9\/5, -2, a in decreasing order.\nAnswer: a, 9\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 317\/1156?\nAnswer: 317\/1156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.157 and -6453?\nAnswer: -1013.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 643680 and 466560.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5 + (2 - 4 + 0)*(0 + 3 - 5))*(-2*j - 2*j + 5*j).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-2*c - 3*c + 6*c) + (5*c - c - c)*(-2 - 1 + 0) + 0*c + 0*c + 2*c + (14 - 2 + 21)*(-4*c + 4 - 6 + 8*c).\nAnswer: 124*c - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34a71 - -8?\nAnswer: -34a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and -129224203072.\nAnswer: -129224203061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2306387*v**2. Let c(z) = 2*z**2. Calculate c(h(r)).\nAnswer: 10638841987538*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17558 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003223 rounded to 7 decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5135 = 7*r + 550. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0296 + 0.4296. Let g = -0.2 + 0. Let m = 0.2 + g. Which is the nearest to 1\/2? (a) m (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4943 or 2\/775?\nAnswer: 2\/775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.5 and 1.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57958696 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -270, 2, 0.4, -0.5?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 8*n + 7. Let f be b(7). Suppose g = -f*g + 13. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10939185601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 16 = -2*o, 101 - 117 = -4*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8764 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18\/383, -1\/5, -33?\nAnswer: 18\/383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*j**4 - 234*j**2 + 2*j - 48728?\nAnswer: 36*j**3 - 468*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4 - 188*m**3 + 8835*m**2 + 188*m - 8836 = 0.\nAnswer: -1, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3079 - 0.0079. What is the smallest value in 3, o, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2. Let r(p) = 320*p - 309 + 256*p + 105 + 105 + 100. Give c(r(s)).\nAnswer: -331776*s**2 - 1152*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*s)*(-3*s - 6*s + s) - 8*s**2 - 5*s**2 + 3*s**2)*(-11 + 10 + 9).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -14*t + 13*t. Let 18*c - 8*c + 24 - 24 + 2*c**t = 0. What is c?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 87 = 189*a - 187*a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3338*c**2*d**3 + 5*c**2*d**2 + 2*c**2 + 1419 wrt d?\nAnswer: 10014*c**2*d**2 + 10*c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*y = -2*u, -8 = -4*y + 4*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10103 is divided by 42?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 - 26*u**2 - 2 + 0*u**3 + u**3 + 27*u**2 - 28*u to z + h*u**3 + f*u**4 + k*u**2 + a*u and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 - (-380)\/209.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4252832, -8505663, -12758494, -17011325, -21264156, -25516987?\nAnswer: -29769818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-2)\/(4\/2). Let n(t) = -o*t**3 - 120*t**2 + 2*t**3 + 122*t**2. Let p(w) = 2*w**3 - 5*w**2 + 1. Give 5*n(y) + 2*p(y).\nAnswer: -y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.09711kg to nanograms.\nAnswer: 19097110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15831*i. Let y(b) = 3*b**2. Give x(y(f)).\nAnswer: -47493*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -3 (b) 4 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105447, 104924, 104401, 103878, 103355?\nAnswer: 102832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-141)\/6 + 1 + 3\/(-6). Is -5 - (-4 + 3) - h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-54) + 2\/(-9). Suppose -2*u - 13 = -3*u + 3*c, b = 3*c + 3. Suppose 0 = 2*n - v - 107, u = -2*v - 0. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = m, 0*l - 5 = 5*l - 5*m. What is the second derivative of -51*c + 35*c**l - 50*c + 61*c wrt c?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2604 and 34647522?\nAnswer: 69295044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/21, 2, 3, -21\/2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1846170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {j: 7, t: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 + 1 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.73 - -1.43. Let r = 0.011 - -30.489. Let x = r - 31. Which is the nearest to 2\/3? (a) s (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -493? (a) -3 (b) 157 (c) 0.05 (d) -1.1 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78623 + 78623 + 9*t + 5*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -26. Suppose -q = -t - 0*t - r, -4*r = t - 8. Solve t*m - 2 = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92\/91 - -6\/7. Let w = 0.12 - 14.12. Let p = -10 - w. Which is the second smallest value? (a) p (b) 3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -547\/2111 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18972651 divided by 5.\nAnswer: -18972651\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m. Suppose 0 = -g - 5*a + 1 - 2, m = 3*a + 12. What is the remainder when 55 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*v + 19 - 19)*(0*v + 2*v - 75*v**3 + 83*v**3).\nAnswer: -152*v**4 - 38*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 407 - 403. Suppose 0 = 4*u - h + 2*h - 27, -5*u + 60 = -f*h. What is the smallest common multiple of 56 and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.3 + 0.7. Let b = k + -10. Let m = -1.4 - 3.6. Put b, 2, m in descending order.\nAnswer: b, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8883 and 62181.\nAnswer: 62181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 15 - 25 = 0. Calculate the greatest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - -93. Suppose 4*a = -3*q + 3*a - 14, h = -2*q + 3*a - 2. Let w = 58 + q. Calculate the remainder when w is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 2\/9, 0.01, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = x + x - 1014874, 0 = 3*x + 2*j - 1522315. Let q = x - 332743. Suppose 0 = 4*h - q - 657304. Round h to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 9*r + 2*p + 20 = 0, 3*p = -5*r + 14. Let s(z) = -z - 1. Let t(u) = 2*u**2 - 4*u + 15. What is r*s(o) - t(o)?\nAnswer: -2*o**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 + 5 + (-3 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 188*t**2 - 58*t + 341. What is the hundreds digit of f(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 - -110.78. Let m = n + 2.75. What is m rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*y + 8, -3*j + 3*y + 3 = -0*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*z + 8*z + 872 + 7132 = -44*z for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 5:36 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/94 - -751\/29422. Let d = -22843\/939 + m. Find the common denominator of -107\/24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6683*f - 6681*f - 2*o = 18, -f + 23 = -2*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62.97, 16, -1.\nAnswer: -62.97, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*n**2*o**6 + 8*n**2*o**4 + 3*n**2*o**2 + 3*n**2 + n*o**2 - 3 wrt o.\nAnswer: -1560*n**2*o**3 + 192*n**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 144*f - 1. Let o(w) = -2*w**2 - 14222 + 14222. Determine o(b(y)).\nAnswer: -41472*y**2 + 576*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, s: 3}. Give prob of picking 1 s and 1 x.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 122542058.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + ((-658)\/9030)\/(6 + -5) and -91\/258.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*b**3 + 55*b**3 + 162*b**3 - 5 + 162*b**3 + 7.\nAnswer: 3*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2) + (sqrt(144)\/sqrt(6))\/sqrt(12))*2*4.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1637849 months in centuries?\nAnswer: 0.00096982075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/106 and 89\/164?\nAnswer: 8692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -233202101 (base 4) to base 14\nAnswer: -50d57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 188 = -3*v. Let z = v - -111. What is z rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 1. Give l(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 2678.\nAnswer: 1071.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23753206 divided by 302.\nAnswer: 78653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Let y = 125 + -1031. Let d = y - -911. Which is the nearest to p? (a) d (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + 0 + sqrt(19) + -5 - -3*sqrt(57)\/sqrt(3))**2.\nAnswer: -2000 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17819320\/(-8720)*(-12)\/(-183).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + a**2 + 24951*a + 2*a**2 - 24951*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -3*i + 5*f, -2831*i = -2834*i + 12*f - f + 58 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1625384 (base 11) in base 10?\nAnswer: -2774259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(75)\/sqrt(3) + sqrt(25) - sqrt(25)) + sqrt(25) + sqrt(25))\/(sqrt(80)*-3).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - 0) + -7 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -2)*(11 + -6). Suppose 4*y + 771 = n*s - 300, -2*y - 641 = -3*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 27. Calculate d(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6886 - -55161\/8. Let x be ((-77468)\/(-38736) + -2)\/(12\/32). Let h = x + 631949\/246942. Calculate the common denominator of h and o.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*j**3*r**3 - 14*j**3*r**2*y + j**3*r + 81*j*r**3*y - 2*r**3 wrt y.\nAnswer: -14*j**3*r**2 + 81*j*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+1909.5944816222\nAnswer: 1909.0944816222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 - 3*q - 248*q**4 + 0*q**2 + 246*q**4 + q**2 as m*q**3 + w*q**4 + l*q + b + f*q**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 9*y + 9*g = -104, -2*y - y - 5*g - 48 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -1e332?\nAnswer: 1e32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 93*c + 9. Suppose 3*i = 4*u - 25, 5*u = -i - 0*i + 17. Let p be a(i). What is the common denominator of -20\/27 and (-8)\/5 - -2 - (-1443)\/p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*u - u. Let h be (-8)\/(-28) - (-2)\/(-7). Solve -u*m + h + 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 6*o**2 + 7*o + 2. Let y be u(7). Is 39 + 0 - (0 + y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 27)*(-14 + 14*d + 14) + 2*d + 2*d - 2*d - 2*d + 2*d - 2*d + d + 4 - 4.\nAnswer: -349*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 38*h**5\/3 + 470*h**4 + 11510*h**3\/3 + 10570*h**2 + 23732*h\/3 + 720 = 0.\nAnswer: -27, -5, -4, -1, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**3 + b - 3\/2*b**2 + 2. Calculate the smallest common multiple of 11 and j(2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2. Suppose -5*i + 0*i - 9 = -2*m, 0 = -m - 2*i. Let a(q) = -3*q - q + m*q. Calculate a(y(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 5*i**2 + 2*i. Let c(f) = f**3 + f**2 - 13*f + 2. Let a be c(3). Let t be r(a). Solve -11 = 5*o + j - 38, 4*o - t*j - 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3604610.3635 minus -0.35?\nAnswer: -3604610.0135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 10*b = 14*b, -5*h - 2*b = 35. Which is greater: 5 or h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 66 (b) 4 (c) -1\/168\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evmevevee. Give prob of sequence vvm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74720 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*j**2 + 18*j**2 + 2*j + 128 - 135 in the form x*j + t + z*j**2 and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*i = 88*i - 75*i - 6305 for i.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -0.09, 2\/7, -653\/5, -0.08?\nAnswer: -653\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 0, 5, 3 in increasing order.\nAnswer: -50, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20737245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 12. Suppose -6*t + s*t + 26 = 0. Let v = t - 3. Calculate the remainder when 49 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j - 55*j + 17538. What are the prime factors of j?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 16. Let z = 145 - 149. Let f be s(z). Solve f = -2*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6020 (base 11) to base 6.\nAnswer: -101024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 14*y**2 - 3*y - 19. Give l(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i - 11. Let f be a(10). Let v = -48 + f. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.24 - -9. Let z = m + -0.06. Let l = -1\/28 + 2\/7. What is the biggest value in l, 0, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 8*q**2 + 28*q - 226. Determine a(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13310*n**4 - 3*n**2 + 463*n + 5?\nAnswer: 159720*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*a**3 - 59 - 61*a**3 + 0*a + 99*a**4 + 3*a - 2*a wrt a.\nAnswer: 1188*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + k + 54. Let m be c(0). Suppose -67 = -d - m. Suppose s = g + 2 + d, -4*g = 4*s - 20. Calculate the highest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852*z**2 - 772*z**2 - 284*z**2 + 207*z**2.\nAnswer: -1701*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4766*u**3 + 4772*u**3 - 9547*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 7. Let v be c(9). Find the third derivative of 6*q**v + 2*q**4 + 12*q**4 - 17*q**2 wrt q.\nAnswer: 336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 85*j**2 + 77*j - 765. What is k(-86)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -55\/4. Let r = -0.333 + 0.033. Is r at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27950, -55741, -83532, -111323, -139114, -166905?\n\"Answer: -27791*z - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 682*f - 982. Calculate the remainder when b(3) is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 279121*j + 2 + 314*j**3 - 3 - 279123*j as y*j**2 + c*j + s*j**3 + q and give s.\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/9)\/(1\/(-6)). Let p = j - -7. Let r(x) = x**3 - 5*x**2 - 6*x + 3. Let o be r(6). Solve -o*t + 7 = -p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 33852*s + 3298288. Determine y(-98).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 35, -3, -16, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l + 46 = 2*a, -16 = 4*l. Let p = a + -7. Suppose -3*g = -g, 5*g = -2*h + p. Solve -2*k - h - 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32586.6042 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 12*i**2 - 10*i. Determine z(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2552 and 21\/116?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 + 66078*h - 66081 = 0. Calculate h.\nAnswer: -22027, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - r - 4, 7*j - 5*j = -3*r - 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001 (base 2) to base 9.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 28 = 5*h, 4*h - 52 = -4*q - q. Let w(l) = 5 + 9*l - 1 - 12 - l**2. Let r be w(h). Sort r, -3, 3 in ascending order.\nAnswer: -3, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*g**2 + 11106*g - 11106*g.\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2. Let z(o) be the third derivative of o**6\/360 + o**3\/2 + 2*o**2. Let q(g) be the first derivative of z(g). Calculate q(j(s)).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 383255 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28938038 to the power of 1\/2, to the nearest integer?\nAnswer: 5379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*378.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 19*n**4\/12 - 7*n**3\/3 - 14*n. What is the second derivative of q(a) wrt a?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35\/((-7)\/1) + 8. Solve 4*x + t*j = -25, 0 = -x - 2*j - 3*j - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -142 - 191*s + 42 + 95*s + 94*s as f*s + u and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + 6.4. Let a = -4.87 + 0.91. Let w = a + -0.04. Sort h, w, -1 in increasing order.\nAnswer: w, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 8*r - 5*r. 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: Collect the terms in 5*g**3 + 10*g**2 + 3*g**2 - 13*g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -26*v + 20*v. Solve -v*q + 5*l = 55 - 10, -9 = -4*q - 5*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (2\/(-5))\/((-19)\/(55290\/12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -78777, 1\/5, 0.1, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439290 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 83580, 667979, 2254032, 5342565, 10434404, 18030375, 28631304?\n\"Answer: 83471*p**3 + p**2 + 99*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1932*y. Let u(l) = -l**2 - 41*l. Determine a(u(p)).\nAnswer: 1932*p**2 + 79212*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7134717*w**3 + 5410176*w wrt w.\nAnswer: -42808302*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 123151?\nAnswer: 123150.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10331813 is divided by 6744.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 12*a = -2*v + 38, 3*a - 16 = v. Let t(p) = 5*p**2 + 10*p - 2. Let u(n) = -11*n**2 - 19*n + 5. Calculate v*t(b) + 2*u(b).\nAnswer: 3*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(2\/17)*q)\/q*q**(-39))**(-4\/13) assuming q is positive.\nAnswer: q**(2456\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**4\/4 + 2*c**3\/3 - c**2\/2 + 10. Let q(i) = i**2 - i. Give -q(s) + r(s).\nAnswer: -s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 p when three letters picked without replacement from tctcccctttpttc.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*u = 6, 0 = 3*z - 4*z + 4*u. Solve 12 = -z*k, -h - 5*k + 2*k = 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-8)\/(-20))\/((-18)\/30).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9472 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 28152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.2, 220680, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3. Let z = 560 + -1679\/3. What is the biggest value in l, 0.5, 0.2, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 5. Give c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52, 233, 534, 955?\n\"Answer: 60*j**2 + j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15920002 to the power of 1\/2, to the nearest integer?\nAnswer: 3990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fb5 - 5?\nAnswer: -fba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-8))\/(-5) - 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**2 - 3. Let v(t) = -805140*t - 2. Calculate v(z(g)).\nAnswer: -5635980*g**2 + 2415418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 - -123. Let x(z) = z**3 + 3*z**2 - 3*z + 9. Let b be x(d). Calculate the greatest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1, 5, 3, 81 in descending order.\nAnswer: 81, 16, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3031.88 to the nearest 10.\nAnswer: -3030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 - -16 - (-1 + ((-448)\/8 - 4))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 + 4*w**2 - 5*w + 5. Suppose 5*s - 7 = -5*y + 23, -5*y + 20 = 3*s. Let l(i) = 4*i**3 - 6*i**2 + 7*i - 7. Determine s*l(m) + 7*f(m).\nAnswer: -m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*x = 16, 2*x + 2 + 6 = 4*w. Sort -5, -12, w in ascending order.\nAnswer: -12, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(24) + -2*sqrt(24))\/sqrt(8) - 1*sqrt(3)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 19*i**2 + i - 20. Let r be s(19). Let a(c) = -27*c**2 - 2*c - 3 + 10*c**2 + 2. Let z be a(r). Are -16 and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n + 3. Let j(c) = -9755*c - 5361. Let v(t) = -6*h(t) - j(t). What is the derivative of v(q) wrt q?\nAnswer: 9803","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.7 + 21. Suppose 3*x - 80 + 74 = 0, 3*w + 10 = 2*x. Which is the closest to 0.1? (a) m (b) 1\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 77.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 1. Let a be g(7). Let l = -1 + a. Suppose -4*q + 21 = j, -4*j + 5*j + l*q = 25. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-14\/5)\/(l*l**(-11)))**(1\/17) assuming l is positive.\nAnswer: l**(36\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**4\/8 - 2*z**3\/3 + 14*z**2. Let u be g(2). Suppose -12 = -3*l, -3*n - l + 30 = -u*n. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**3 + 7*b**2 + 3*b + 1. Let q(v) = 9*v**3 + 15*v**2 + 5*v + 1. Let g(i) = 3*q(i) - 7*u(i). Suppose -t - 3*t - 20 = 0. Is g(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 7. What is the tens digit of 69 + (-3 - q) - 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v**2 - 2*v - 1. Let z be f(-1). Let s = z + -7. Calculate the greatest common factor of s and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -26, -1\/3, 3783 in ascending order.\nAnswer: -26, -1\/3, 60, 3783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) -16 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p - 132. Let x = p - 46. What is the greatest common divisor of x and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -206 and 1.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.9 and 13994335.\nAnswer: 13994332.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 10984*d**2 + 266*d + 91. Is r(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = 3*z - 1586. Let c = z + -374. Let t = -143 + c. What is t rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -4*i**3\/3 + 4*i. Let p(o) = -o. Let b = -3 - -9. Let z(t) = 2*t. Let l(q) = b*z(q) + 10*p(q). Calculate l(c(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6205\/706 or -2\/15?\nAnswer: 6205\/706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 17*w**2 + 52*w + 24. Let x be t(-10). Solve -x = -67*i + 265 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**6\/288 - y**5\/240 + 31*y**3\/3 + 32*y**2 - y. Let z(s) be the first derivative of m(s). Solve z(i) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 707, 1572, 2769, 4292, 6135, 8292?\nAnswer: 10757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5871 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17, 15, 11, 5, -3?\n\"Answer: -t**2 + t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.026 - -43.974. Let z = 43.99969 - q. Round z to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -912*s + 56. Let u be v(13). Round u to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92048, 91879, 91710, 91541, 91372?\nAnswer: 91203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2950575899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**4\/4 - 23*i**3 - 1587*i**2\/2 - 12167*i + 37. Suppose q(h) = 0. Calculate h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 51 = -39. What is the greatest common factor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + (-27)\/(-6))*(-4 - -2). Factor -5*i**4 + 12*i**2 + 5*i**v - 5*i + 2*i**2 + i**2 + 0*i**2 - 10.\nAnswer: -5*(i - 2)*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)*l*l**7)**(30\/7)\/((l\/l**(-4)*l*l**(-8))\/((l*l\/l**(2\/3))\/l*l)**(12\/5)) assuming l is positive.\nAnswer: l**(427\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441962 < 8441964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeee. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y = 1. Let a = y - 3. Let j = 599 + -598. Sort 0, a, j in ascending order.\nAnswer: a, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/2, 30, -0.1, 2\/11 in increasing order.\nAnswer: -0.5, -0.1, 2\/11, 1\/2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*p**3 + 43*p**3 - 26*p**3 + (-3*p - 3*p + 4*p)*(-3*p + 2*p**2 + 3*p) as k*p**2 + w*p**3 + c + y*p and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 9*h - 2. Let t be (-112)\/12*(h - 34\/16). Sort 0, 1\/7, t in descending order.\nAnswer: t, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t + 2. Let z(b) = -b - 1. Suppose -62*j = 103 + 83. Determine j*z(n) + i(n).\nAnswer: -3*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: a24a86 (base 11) to base 16\nAnswer: 191f54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 10*y - 8. Let x be u(-10). Let q = 11 + x. Find the third derivative of 8*r**2 + 11*r**q - 5*r**3 - 5*r**3 - 3*r**3 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4 - 5*l - 2*l + l + 3*l + l. Let w(z) = -1. What is 6*w(q) - y(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 + 9243*p - 111341. Give x(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93133937, 93133938, 93133939, 93133940, 93133941, 93133942?\nAnswer: 93133943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3355403 is divided by 838849.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 666\/(-2886) + (-6317720)\/(-26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19\/30 + 1\/2. Let i = 858 + -854. What is the nearest to -1\/2 in k, -4, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (562\/(-1405))\/(15\/(-33)*(-2)\/(-5))\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/309?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -3 + 14 + -23 + -1 + 4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 = 5. Suppose 0 = y*p - 13 - 2. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1*-1*5954\/234)*1254\/836.\nAnswer: 92\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0285 + -80.5715. Let z = 90 + l. What is z rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29177\/13 or -2244?\nAnswer: -2244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m + 2*m - 3*m + 0*m + m - 2*m + (1 + 0 + 1)*(3*m - 3*m + m) + 3*m + 2 - 2)*(6 - 3 - 2) + 2*m - 5*m + 4*m)*(-42 - 41 - 4).\nAnswer: -522*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154349 (base 13) to base 8.\nAnswer: -1776276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 22*r**2 + 1. Let q(i) = 3*i**3 - 9*i**2 + 35*i + 20827. Let b(z) = q(z) - 2*x(z). What is f in b(f) = 0?\nAnswer: -17, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12121211101 (base 3) to base 16.\nAnswer: 1b05b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*b + 4*b. Suppose 5*l - l = -12, 5*y = -4*l - 12. Factor 0*z - 1\/5*z**b + y + 1\/5*z**2.\nAnswer: -z**2*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032606 - -255?\nAnswer: 255.032606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 1002*a**4 - 2000*a**3 - 1010*a**2 + 2000*a + 8 = 0.\nAnswer: -1, -2\/501, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3740007?\nAnswer: 3, 23, 67, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 - 3*u + 6. Let l(w) = -2*w - 3. Let i be 4\/10 - (-185)\/(-25). Let d be l(i). Let h(f) = 17*f**2 + 8*f - 17. Determine d*a(v) + 4*h(v).\nAnswer: 2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 3*c**2 + 17 + 23)*(-2*c**3 + 0*c**3 + 3*c**3).\nAnswer: 3*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.285738ml?\nAnswer: 0.004285738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -bfd (base 16) in base 13?\nAnswer: -1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6088 + 3*r - 2*r - 6087 - 6301 - 6095 + 24571.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 20, 47, 84, 131?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -57457.9671 to the nearest 1000.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.0612.\nAnswer: -0.00612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 12:00 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) + 87\/27. Suppose 2 + 13 = c*l. Suppose -4*x = -p - 16, -l*p + 21 = -p + x. Solve 0 = -p*s + 5 - 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/19, 2\/143, 0.39, 42, -0.5, 8\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -c3c (base 13) to base 3\nAnswer: -2212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -16.3.\nAnswer: 3.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 827386357 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 10 + 14. Let v(x) = -2*x + 1 + 0 + 1 + x**2. Let o be v(3). Solve -u + o = -f*r, -2*u = 2*r + 4 + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 3*m**2 - 2*m - 6. Determine h(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16824 and 22049955?\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 5. Suppose -2*k - 3*x = -7, -x + 4 = k + 3. Let g(v) = -1. Give k*g(d) + c(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from keekkkk.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from aaraoaawaaaara.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124900 divided by -11249?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -1\/5*b**5 + 0 + 2\/21*b**7 + 1\/3*b**4 + 4*b + 0*b**3 - 2\/15*b**6 + 0*b**2. Suppose h(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 6 = x, -x - 4*m + 5 = -2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 c, and 1 o when four letters picked without replacement from ococoooocccdccoocd.\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*a - 235*a = 3578 + 5200 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let q(n) = 2 + n**2 - 4*n**r + 2*n**2 - 2*n - n**2 - n**3. Suppose 4*c = 6*t - 2*t - 16, -5*c = 5*t. What is q(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*c**4 - 2 + 3*c - 2*c - 4*c**2 - 2*c**3 + c + 4*c**2 as q*c**2 + n*c**3 + b*c**4 + h + o*c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -76.23. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + u + 87 = 3*s, 0 = -2*s - u - 33. Let x be 4*3\/(-54) - (-376196)\/s. What is x rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**3 + 62438*h**2 + 37*h**3 - 62438*h**2.\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4020.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*k**6 + 3*k**4 - 249*k**3 - 103438*k**2 wrt k.\nAnswer: 4320*k**3 + 72*k - 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 40. Let v(n) = 7 - 10*n + n**3 - 26 - s*n**2 + 12. Let y be v(10). Does y = -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 less than -199842.92?\nAnswer: -199979.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.036*-23\nAnswer: -0.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/z**(-4\/5))*z))**46\/((z*z**(4\/9))\/(z\/z**2*z)) assuming z is positive.\nAnswer: z**(1591\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/12 - 2*s**3 + 6*s**2. What is p(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -28 + (37 - 19) + (7 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(132)\/sqrt(3) + 0)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 1 + 1 + 0*t**2 + 2*t**2 - 4*t**2 + (t - 3 + 3)*(-2*t + 4*t - 4*t))*(-168 + 25 - 68).\nAnswer: 422*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225 + -230. Let j(o) = -o**2 - 4*o + 2. Let v be j(-4). Let x(n) = 6*n - 10*n**2 + n**3 - v*n**3 - 1 + 6*n**2. Determine x(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f - 7. Let z be w(5). Let b = z + -18. Let t(u) = 2*u**3 + 5*u**2 + 5*u + 9. Let g(h) = h**3 + 2*h**2 + 2*h + 4. Determine b*g(x) + 2*t(x).\nAnswer: -x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 20 = 2*s - 5*m, 5 = -5*m. Let h be (-15)\/20*2*(-110)\/15. Suppose 12*k - 37 = h. Solve -s*u + k*d + 3 = -0*u, -5*u + 5*d + 10 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {l: 10, a: 2, v: 4, t: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.08 + -3.28. Suppose 5*w + 3 = o - 4, -o = 2*w. Let k be 25\/(-5) - (1 + w). What is the smallest value in h, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 8*u - 33 = 0. Let c(q) = -3*q + 5. Let o be c(u). Suppose -4*h = -2*d + o, -3*h - 91 = -3*d - d. What is the lowest common multiple of 4 and d?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1711 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(2\/7)*y))\/y*y)\/(y*y**(-7\/2))*(y*y**(-1)*y)**(2\/5))**(2\/33) assuming y is positive.\nAnswer: y**(61\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 + 71*o - 71*o - 5*o**2.\nAnswer: -5*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-12)))**33*((v*v*v\/(v*(v\/(v**(2\/11)\/v*v))\/v)*v*v)\/v*v)\/(v**(-1\/6)\/v))**(-23) assuming v is positive.\nAnswer: v**(-609247\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3953531 and 11267?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3147 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1001 and 1859?\nAnswer: 13013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-76)\/10 + (-70)\/(-10) + 30\/(-75). Let n = -1.97 - 0.03. What is the closest to -0.1 in x, n, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**4\/4 + 10*o**3\/3 - 9*o**2\/2 + 16*o + 149. Calculate s(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + 3 + 3 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 0 (c) 0.0025 (d) -2946 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-39 - -17)*3\/(-165). Put 258, -4, o, 0.3 in decreasing order.\nAnswer: 258, o, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 5) to base 2\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w + 5*j - 15, -7 = -w - 3*j. Suppose 2*r + 42 = -5*f, 2*f = -14*r + 18*r - 12. Let k = f + w. Solve g - k*c = 12, -g = 4*g + 2*c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101101 - 100011001001000110?\nAnswer: -100010110111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**6\/120 + a**5\/30 - a**4\/12 + 3*a**2. Let s be k(3). Let j be (-72)\/s - 1\/(-5). Solve i - 16 = j*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -97, -133, -171, -211, -253, -297?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*c = 2*o - 26, 4*c + 2 = o. What is the units digit of 81\/2 + 3\/o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 14774 + 52017. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 279, 477, 675, 873, 1071, 1269?\n\"Answer: 198*o + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 - -502. Suppose -w = -2*w - p. Let n = w - -315. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 3:14 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 26 + 4. Let o = -2 + h. Suppose -o*q - 3*m + 5 = 0, 3*q + 0*q - 10 = 4*m. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7491043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*g + 3*g - 66*g - 40 - 6*g + 40.\nAnswer: -180*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.4245 (c) -4 (d) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15*h. Let y be s(-2). Let m be ((-2)\/(-10))\/(y\/50). Let n = -31 + 32. Do n and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (49 + -9)\/(1 + 1). Solve b + j = -5*q, -b - 3*b - 32 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 2, h: 4}. Give prob of picking 1 h and 1 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a microgram in nanograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 10*x + 12*h + 15 = -24, 37*x = -4*h - 123 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21260591 from -2.\nAnswer: -21260593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158914017 or -158914019?\nAnswer: -158914019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxx. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3041573 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000100010 (base 2) in base 6?\nAnswer: -42122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(567) + 4)**2 - sqrt(7)) - (sqrt(343) + 2 + 2)**2.\nAnswer: 15*sqrt(7) + 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15303\/(-10202))\/(1\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**3 + 4*f - 18. Let x(v) = -20*v**3 - 12*v + 54. Let j(d) = -17*g(d) - 6*x(d). Let h be j(4). Is h < 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 5*h - 3. Let m be n(-2). Suppose m*f - 28152 = 4848. Round f to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 65*a. Calculate q(-14).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5014, -5015, -5018, -5023?\n\"Answer: -u**2 + 2*u - 5015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -a - p, -4*a - 630*p = -635*p + 42 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*v + 439*v = 23 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) - (-173)\/3. Suppose -s + 23 = -t. Suppose 0 = -5*d - 3*b + 57, 4*d + 3 = 3*b + 27. Calculate the highest common factor of s and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9466969\/1473 + 6427. Let z = 2968\/16203 - i. Which is the fourth biggest value? (a) -1 (b) z (c) -6\/5 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 - 3*a + 12. Let r be p(6). Suppose v - 3*f = 6*v - 221, -4*v + r = f. Let h = 148 + v. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 6*s + 18. Let i(q) = -q + 11. What is the smallest common multiple of i(s) and -1 - 1 - (-5 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**2 - s - 34. Determine a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Let f be (-1263)\/(-9)*(-6)\/(-212) + -4. Let m = f + -22\/159. Which is the closest to m? (a) q (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 - 117*m + 117. Let l be p(1). What is the highest common factor of 92 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.304130772 rounded to 5 decimal places?\nAnswer: 0.30413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*r**2 - 1223*r + 1223*r in the form a + d*r**2 + f*r and give d.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281, -753, -2491, -4939, -8103, -11989, -16603, -21951?\nAnswer: -28039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105564656.66063 - 118770186.6614. Let l = i + 13205373. Let y = l + 157. What is y rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let v be -1*(18\/(-36))\/(1\/(-2)). Let q(z) = -z. Let k(m) = 9*m - 2. Let g(w) = v*k(w) - 4*q(w). Give g(y(o)).\nAnswer: -5*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 342615563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/11, 3504, 14\/395?\nAnswer: 14\/395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q + 273 = -3*k + 33*q, -182 = 2*k - 5*q. Is -91 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 6*p**2 + 4*p. Let r be x(-5). Let a be 10\/75 - (-1)\/r. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/3)\/(2\/6). Let k = 7 + u. Suppose 40 = d + 2*d - 5*j, 2*d - 26 = k*j. Solve 4*i - 3*s + 14 = -9, -5*i + s = d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l - 8. Let s(z) = -z. Let q(c) = -2*c + 5. Let v(w) = q(w) - 6*s(w). Let m(b) = 5*h(b) + 8*v(b). Let f(r) = 4*r**2. Determine f(m(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**5 - 2*w**4 - 2*w**2 - 16*w. Let a(x) = 5*x**5 + 9*x**4 + 9*x**2 + 63*x. Let f(p) = 2*a(p) + 9*b(p). What is the second derivative of f(h) wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3017588 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i - 7621 + 7621.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -405*q - 579*q - 127*q + 300 - 76*q + 1033 wrt q?\nAnswer: -1187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + 2*t**3 + 1145*t**2 + 1218*t**2 + t.\nAnswer: 2*t**3 + 2363*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190269731?\nAnswer: 23, 8272597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 8) + -2 + 0 + -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 2514870.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 - 93 = 9*i. Let d be (-1 - (-1)\/i) + 56\/21. Solve -d = -3*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40431384 divided by -21?\nAnswer: 1925304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m - 15. Let f(l) = -2*l**2. Determine f(g(i)).\nAnswer: -242*i**2 + 660*i - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**4\/12 + g**3 + 8*g**2 - 6*g. Let k(o) = o**2 + o - 3. Let r(y) = i(y) + 2*k(y). Let w(b) = -126*b. Determine w(r(v)).\nAnswer: -252*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15244845 rounded to 3 decimal places?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 d when three letters picked without replacement from {d: 11, r: 5}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 11:44 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*6 + (-4066)\/1070.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmez when four letters picked without replacement from mezemzee?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from {k: 2, h: 10}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*z**4 + 3\/4*z**3 - 1\/4 - 3\/4*z - 1\/4*z**2.\nAnswer: (z - 1)*(z + 1)**2*(2*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-14)*(2 + -1). Let a = -15673 + 15674. Suppose d = 5*x - 5, 4*x = -d + 2*d + 3. Sort a, s, x in increasing order.\nAnswer: s, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*6\/4. Let s = 6008 + -18022\/3. Sort f, -5, -4, s in descending order.\nAnswer: s, f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let x(p) be the third derivative of -9*p**4 + 20*p**2 - 2. Give x(n(q)).\nAnswer: 432*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/101242 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 + -4?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:28 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 11 (b) 0.01 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 41*o - 121. Let x be w(3). Solve 3*y = -3*y - x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 36 = 17*z. Solve 5*w + 2 = -z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - 0.11. Which is the closest to g? (a) -0.2 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:36 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -28 + (-5 - -4)*4. Let h = p - -44. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 6. Let y(t) = 11 - 10*t - 18*t + 27*t. Calculate -5*l(u) + 3*y(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25302 - -12?\nAnswer: -252a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*j - 3. Find the first derivative of -21 - 8*p**2 + 3*p**2 + 8*p**2 + j*p**2 wrt p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 - 13*j**3 - 9*j**3.\nAnswer: -31*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/15 - -1)\/((-12)\/16). Put x, -0.4, -7 in descending order.\nAnswer: -0.4, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 6*q**2 + 2*q - 9. Let d be f(6). Let c(t) = -5 - t**3 - 3*t**3 + 5*t**d - 5*t**2 + 10*t. Is c(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9344069*k**3 + 282*k**2 + 5058 wrt k.\nAnswer: -56064414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 409676 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l. Let a be s(-1). Suppose 3*k + 15*i + 264 = 11*i, i - 249 = 3*k. Let p = a - k. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 651975\nAnswer: -651974.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 8, p: 9, w: 1, h: 1, z: 1}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -1\/30*w**6 + 0 + 0*w + 0*w**3 + 14*w**2 + 0*w**5 - 3\/2*w**4. Find the second derivative of y(v) wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u\/u**2)\/u)**(-8))**20\/((u*u**(-3\/5))\/u**(-8)*(u**0)**(2\/41)) assuming u is positive.\nAnswer: u**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115704?\nAnswer: 2, 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/4 - 87*q**3\/4 - 639*q**2\/4 - 553*q\/4 = 0 for q.\nAnswer: -79, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925*j + 2*j**3 - 2*j**2 - j**3 + 0*j**2.\nAnswer: j**3 - 2*j**2 - 925*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23001, 46000, 68997, 91992?\nAnswer: 114985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952001 is divided by 119000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 38\/(3 + 3\/15 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/30*8*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33580 (base 11) in base 13?\nAnswer: 19182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 37, 49?\n\"Answer: 12*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = 3*r - 47, -w + 14 = 2*r. Let n(o) = 1938*o + 25357. Calculate the least common multiple of n(-13) and r.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*p + 19 = -7*j + 11*j, -p - 5*j + 16 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 20*v**3 + 276*v**2 - 7*v**3 - 276*v**2.\nAnswer: -31*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c**2 + 4*c - 6. Let k(m) = -2*m**3 - m**2 + 8*m - 12. Let v(l) = -5*d(l) + 3*k(l). Is v(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*s**5 - 56*s**5 + 8 + 3*s**3 + s + 21 + 58*s**5 + 78*s**5 wrt s.\nAnswer: 3040*s**3 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2 + 741288*t - 45792324912 = 0.\nAnswer: 123548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 - 153 - 22*n + 49*n + 289 - 42*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10 + -2 + 330\/(-75))\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 74079840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197778*0.2.\nAnswer: -39555.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47\/4 of a century?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(55))\/sqrt(5))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0064612539 to 5 decimal places.\nAnswer: -0.00646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, k: 1, c: 1, i: 1}. What is prob of sequence ick?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 + 40*s**3 - 36*s**2 - 432*s + 432.\nAnswer: -4*(s - 6)**2*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5699346 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 119a92?\nAnswer: 119a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 4. Let d be 6\/4*70\/15. Give s(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.9 (b) 13\/6 (c) 1 (d) 0 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/6*(-166)\/((-15936)\/(-1440))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1648 = -4*s + 64. Let q = s + -260. Is q a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7902 divided by -30.\nAnswer: -1317\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -18*t + 22*t - 4, -2*y - 3*t + 3 = 0. Solve -s + 2*a = y, 3*s + 0 - 4 = 4*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c + 4. Let b be l(1). Let h(p) = -5*p - 29. Let a be h(b). What are the prime factors of 1 + (1 - a) - 5301\/(-19)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:54 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 2*sqrt(39)\/sqrt(3) + (0 + sqrt(1300))**2 + 0.\nAnswer: 3*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l**3 - 3*l**2 + 2*l + 2. Let b be z(2). Let y = 38 - b. Let g = y - -59. What is the remainder when 113 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 6, -35 in increasing order.\nAnswer: -35, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aayyaaaa. What is prob of sequence aya?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80950.\nAnswer: 2, 5, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 24. Let z be r(16). Let c(h) = -h**3 + 6*h**2 + 16*h + 1. Let k be c(z). Solve k + 5 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) -1\/65 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36606 greater than or equal to 36620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 54, 89, 124, 159?\n\"Answer: 35*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 < 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -709, 3, 1, -1\/2, 278 in increasing order.\nAnswer: -709, -1\/2, 0.06, 1, 3, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1126.4 + 1126. Let g = 0.4 + 0.1. Which is the closest to 0.1? (a) g (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.49 + -2.51. What is the closest to 0.1 in -2\/23, u, -4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 8 = q, 21*l - 18*l - 1 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*-5 - (sqrt(170)*-2)\/sqrt(10)) + 3*-2*sqrt(68))**2*-2.\nAnswer: -30600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3218196mg in micrograms?\nAnswer: 321.8196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7725 + a + 7725. Let j(n) = 1472*n**2 + n - 728*n**2 - 686*n**2. Calculate j(k(r)).\nAnswer: 58*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 10. What is the highest common divisor of w and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -49*w - 2882. What is the remainder when o(-63) is divided by 64?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*s + 3 + 9\/2*s**3 - 6*s**2.\nAnswer: 3*(s - 1)**2*(3*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = d - 5*d, y - d = -26. Let q = y - -42. Suppose q = r - 3. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from vuuzmuzavvzzzzuus?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**2 + 65*o - 150 = 0.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(1584) + 1))**2 - ((sqrt(99) - (sqrt(99) + sqrt(99)*-1*1))\/(2*sqrt(36)))**2.\nAnswer: -72*sqrt(11) + 25477\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(432) + 1)**2 + (((1 + sqrt(432))*6 - sqrt(432)) + sqrt(432))**2.\nAnswer: 912*sqrt(3) + 16454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 18*m - 504 = 17*m. Suppose 0 = -2*p - p + 12. Let s be (-2)\/(-8) - (-671)\/p. Calculate the greatest common factor of s and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 9. Let y(t) = -3*t**2 + t - 17. Let k(o) = -5*b(o) - 2*y(o). Let i be k(-4). Suppose -i*c + 330 = -10*c. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 153 - (-3 + (-2 - -1)). Suppose -505 = -4*k - n. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.9 rounded to zero dps?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74\/49 + -1\/98. What is the nearest to -2 in -1, 3, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 601 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69861185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -135*y + 288*y + 2907. Sort y, -4, 2, 65 in ascending order.\nAnswer: y, -4, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s - 3*f, 2*f = -3*s + 7*f - 14. Suppose j = -s*j - 4*u + 12, 12 = 3*j + u. Suppose -3*r = -j*l - 113, -3*r + 2*r + 41 = -2*l. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 204980935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4154 by 2077.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/17 - 19076*x\/17 + 38160\/17 = 0. Calculate x.\nAnswer: -9540, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*j - 447*j + 40*j + 852*j - 336*j**3.\nAnswer: -336*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + x + 6. Let a(t) = 2*t**2 - 2*t - 11. Let q be -11 - 1 - (-5)\/5. Suppose 2*l = 2 - 14. Calculate l*a(r) + q*m(r).\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 5*o**3\/3 - 2*o**2 + 3*o + 4912. Let x(w) = 21*w**2 - 15*w + 12. Give 15*p(d) - 4*x(d).\nAnswer: -9*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 + 9554*c\/11 - 47720\/11.\nAnswer: -2*(c - 4772)*(c - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9313.449 years in decades?\nAnswer: 931.3449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 23*j - 22. What is l(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/3 + 7*o**4\/3 + 6*o**3 + 20*o**2\/3 + 8*o\/3.\nAnswer: o*(o + 1)*(o + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 112*y**2 + 3*y + 3. Let d be b(-1). Let n = 391 + d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3635\/34501 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000070316 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4470, 4496, 4512, 4512, 4490?\nAnswer: 4440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1738)\/79)\/((-18)\/(-3))*3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/17 in -26.7, 341, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22988.71 rounded to the nearest 10?\nAnswer: -22990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24, -160, -344, -528, -712, -896?\n\"Answer: -184*f + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 5*y - g, -16*y + 18*y - 137 = -5*g. What is the highest common divisor of 213 and y?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.1 + -24. What is the closest to -0.1 in -5, 3\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -13*a + 1. Let m be p(-2). Let j be ((-3)\/(-9))\/(3\/m). What is the second derivative of -b - b + b**j + 4*b**3 wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9407483394 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 6*5\/(-10)*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 7370 - 7258 = 0 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26\/(48\/(-28) - -2)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 99 = 3*s, 2*m - s - 25 = m. Suppose 2*o = p - m, -11 - 5 = 2*o + p. Let j = o - -19. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/((d*d*d\/(d**25\/d))\/d)*d*d*d*d))\/(d*d**(-29)*d) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26095491?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 47512 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 3. Suppose -o*y + 20 = -27*y. Suppose -3*i = -24 + 3. Calculate the lowest common multiple of y and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157 - 87. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*w - 2 - 15 = 15 + 11, -75*w - 672 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4299641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - -1) + (-148 - -132) + 4 + 58?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688842 = -3605*z - 2893*z - 3204*z for z.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 441\/(-14) - 2\/4. Let n = -20 - w. Let r = 29 - 17. Calculate the lowest common multiple of n and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f = 4. Suppose 0*u = -f*u. Let c(w) = -w**3 - 7*w**2 - 5*w + 6. Let j be c(-6). Solve -l - 1 + j = u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31310 + 311?\nAnswer: 32221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24181 = -5*x + 24141 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678 - 610 = 92*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 36.5. Let n = 8.4999713 + x. What is n rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-2)\/(-5 + 3)*-1. Solve v*b = b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66459400*r**5 - 162188911*r**2.\nAnswer: 3987564000*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2004?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 3, 5, -136, -957, -2 in increasing order.\nAnswer: -957, -136, -3, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.0337 - -0.0337. Let g be (-9)\/(-21)*(-4)\/(-6). Which is the second smallest value? (a) v (b) -3 (c) g (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7301 and 3129?\nAnswer: 21903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1304, -1380, -1586, -1988, -2652, -3644, -5030, -6876?\n\"Answer: -11*r**3 + r**2 - 2*r - 1292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 73*z - 55917 = -134*z. Does 50 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(sqrt(33) + sqrt(198)\/(-3*sqrt(6)) + sqrt(33)))\/(sqrt(9)\/((sqrt(9)*1)\/sqrt(3))).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129047\/31682 - 4\/2263. What is the common denominator of w and (-130)\/(-14)*(-77)\/(-44)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (-95 - (-45 + -30))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r. Suppose -10 = -2*m - 3*m. Suppose -5*z = -0*z - 50. Let l(q) = -10 + m*q + z. What is v(l(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 5*b + 5*m, -m = 4*b - 0*m + 58. Calculate the remainder when (-40)\/(-6)*b\/(-10) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464869256 to the power of 1\/2, to the nearest integer?\nAnswer: 21561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6473425973 rounded to five decimal places?\nAnswer: -0.64734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 12512\/253 + 42\/77.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*z + 20, 3*z = -3*u + 18. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2117475.5 to the nearest 1000.\nAnswer: -2117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 3057?\nAnswer: 137565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011565 to six dps.\nAnswer: -0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n - 73. Determine p(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 231030 - 510?\nAnswer: 230120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -11985479 <= -11985460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8375400 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**15\/(w**(1\/39)*w*w)*w**22*w**21)**26 assuming w is positive.\nAnswer: w**(4366\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 + 989 = -p. Let w = 1246 + p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*(sqrt(162)*2*-2 - (sqrt(162) - (sqrt(162) - (sqrt(162) + 1)**2))*4) + 3)*6.\nAnswer: -11748 - 1944*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 8. Suppose -v = 3*v - 4*p + 28, 2 = v + 2*p. Let t be (-12)\/3 - (-8)\/v. Determine g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111284 smaller than 345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 13761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10000617806 + -98\nAnswer: -10000617904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 423909401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 226 = 214. Round v to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2464 and 29.\nAnswer: 7.1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21201\/18)\/(-191) + 10?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31183 not equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.7 - 7.32. Let p = 4.78 - o. Let d = p + 1.6. Do d and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, 40, -9199 in descending order.\nAnswer: 156, 40, -9199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4 + 12*i**2 - 3 - 11*i**2 + 2 - 4*i. Let j be g(6). Suppose -155 = -8*v + j*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11021110102 - 0?\nAnswer: 11021110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -1614, -3759, -6762, -10623?\nAnswer: -15342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 = -46*x + 11*x + 410 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, r: 3, e: 8}. Give prob of picking 1 e and 2 r.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/180579938 and -109\/1959276.\nAnswer: 1083479628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*i**2 - 4 + 4 + i - 24*i**2 in the form g*i + r + z*i**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11320, 11281, 11194, 11041, 10804?\n\"Answer: -3*x**3 - 6*x**2 + 11329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izhhzggbhzzu. Give prob of picking 1 z and 1 g.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*p - 3348 = 449, -15215 = -4*a + 3*p. What are the prime factors of a?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 11. Let k be x(13). Factor 3*u + 6 - 4*u**k - 4*u**2 + 0*u**2 - 4*u**2 - 9*u**3.\nAnswer: -3*(u + 1)**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*m + 118 = 124, 2*x - 33 = -3*m. Solve -5*j - 2 = -4*i, 4*j + i = 2 + x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1151 times 6\nAnswer: -6906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbd when three letters picked without replacement from bbdbbbbdbb.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 10*m - 9*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirteen quarters of a microsecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31320939 rounded to 4 decimal places?\nAnswer: -0.3132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 50 = w, 3*w + 5*h = h + 112. Let q = -17 + 27. Calculate the least common multiple of q and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8098, 8081, 8056, 8023, 7982, 7933, 7876?\nAnswer: 7811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q - 5*q)*(-2*q**2 + 5*q**4 - 3*q**4 + 0*q**4).\nAnswer: -12*q**5 + 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - (-61 + 37) - (-102 - -6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 4*w + 3*a, 0 = a + 3*a + 8. Calculate the remainder when w is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 105 = -427. Let f be (0 - -4)\/1 - x\/(-23). Let i = 1 + -2. Put 6, i, f in decreasing order.\nAnswer: 6, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 2, h: 6, b: 9}. What is prob of sequence th?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1472 + 1785. Calculate the remainder when z is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4834 + -4708. Calculate the greatest common factor of 198 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (7 + -19 + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -575 times -0.06\nAnswer: 34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -114, -127, -140, -153?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**3\/2 - 27957*x**2\/2 - 1949640*x - 68151650 = 0.\nAnswer: -27817, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165857.\nAnswer: 165857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 + -35 + 18 + 2741 is divided by 910?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5*f - 0*f + 25, -25 = 4*h - 5*f. Solve 5*o - 4*o = -5, 2*c - 2*o - 18 = h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5238663 and 0.5?\nAnswer: -2619331.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcocaoavcoaocav. What is prob of picking 2 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(-2*sqrt(72)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/(sqrt(294)*2))**2.\nAnswer: 27\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4404)\/9*(-2 - 35\/(-7)). Let j be -1 + n\/(-6) + (-72)\/108. Calculate the greatest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - h**2 - 4. Let q be m(-2). Suppose q = -5*d + 4*k + 35, -5*k - 28 = -2*d + d. Put -1, 2, -2, d in descending order.\nAnswer: d, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3245 by -19367.\nAnswer: 3245\/19367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 7. Let a be q(11). Suppose 6*j = a*j + 4. What is the derivative of -2*x**j + 2*x**2 + 53 - 42 + 13*x**3 wrt x?\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 + 3*k**2 - 7*k**2)*(4 - 8 - 2) to x*k**2 + v*k + g and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, -74, 0, 495 in increasing order.\nAnswer: -74, -6, -2, 0, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(363) + (sqrt(363) + sqrt(363) + sqrt(363)*2)**2)*-1 + (-2*sqrt(363)*4 - sqrt(363)).\nAnswer: -5806 - 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-17))\/(3*8\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18.704 times 86\nAnswer: -1608.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 + 130*m - 43. Let j be i(32). Solve 33*g - 12*g + j = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464 - 460115097.\nAnswer: -460115561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**3 - 8*o**3 + 4*o**2 + 8*o**3 + 0*o**3 - 3 - 2*o**4 - o**2 + o in the form k*o**3 + t*o + a*o**2 + l*o**4 + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 17*v - 34. Let y be s(6). Suppose 5*a = -2*h + 7715, -a - h = -1647 + y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1045 - -1065. Calculate the highest common divisor of o and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (sqrt(245) + 1)*-3)**2.\nAnswer: 168*sqrt(5) + 3929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -22*u**3 + 4*u**2 + 4*u. Suppose -2*g = -5*o + 22, -17*o = -13*o + 2*g - 14. Let j(d) = -351*d**3 + 63*d**2 + 63*d. Calculate o*j(x) - 63*a(x).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8066 - 8070. Sort 2, -44, j, 4, 6 in ascending order.\nAnswer: -44, j, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (17 + -1 + -6 + -18)) + -12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-12 + 26 - 4)*(-1 + 3 + 0) + (-1 + 2 + 3)*(-2 + 6 - 3))*(17*c + 4 - 4).\nAnswer: 408*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h + 27*h + 714*h**3 - 748*h**3.\nAnswer: -34*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 138, 103, 54, -9, -86, -177?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 - (1 - -1) - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/3 + (-279)\/(-18). Suppose 5*g - 32 = -7. Let x = -0.03 + 0.33. What is the closest to y in g, 3\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7500 + -7450. What is the remainder when 9299 is divided by d?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 76798 = 5*a, -19*a - 102423 = -4*u - 16*a. What are the prime factors of u?\nAnswer: 3, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8993277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3600\/192*(-784)\/245.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*x - 2, 2*h - 11 + 9 = 0. Suppose -128*l + 122*l = 48. Put 5, x, l in decreasing order.\nAnswer: 5, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7543599, 15087241, 22630883, 30174525, 37718167?\nAnswer: 45261809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-36))\/(1\/(-8)). Suppose b*g - 47 = 3*o, -3*g + 30 = 3*o - 3. Let q = -12 + g. Let s(z) = -5*z + 6. Calculate s(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34850 - 34798. Put -2, -1, q, 22, 3 in descending order.\nAnswer: q, 22, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 58*v**3 + 11*v**3 - 1 - 3*v**2 + 0 + 5*v**2. Let q be x(1). Let z = q - 33. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Suppose -c*d - 693 = -5*d. Suppose -5*q + d = 46. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23753\/52740 - 1\/2637. Calculate the common denominator of f and -31\/94.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*h + 19 = -17, -5*o - 4*h + 40 = 0. Let c be 2\/(-12) - 3211\/(-78). Suppose c*p = 44*p - 66. Solve 2 - p = -o*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*l - 3*f, -2*l + 0*f = -f - 11. Solve r - 9 + 0 = 2*m, 22 = -m + l*r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(4 + sqrt(98) + sqrt(98)) - (sqrt(98)*4 + 4))*-6 + -1)**2.\nAnswer: 47712*sqrt(2) + 230833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5612 = t - 3*x, -15 = -4*x - 3. Suppose -5*n + 2788 = c, 0 = 2*c - 24*n + 25*n - t. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooaa when four letters picked without replacement from {o: 7, a: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3988521743 to the nearest integer?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6112\/9 - -685. Calculate the common denominator of r and 32\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 984*0.116\nAnswer: 114.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*l + 3, -4*g + 136 = 4*l. Suppose -2*d + 5*a = -112, -5*a + 73 = 2*d - 19. Let z be 3\/(-7) + d\/119. Solve z = 5*w + 4*j, -w - w = -5*j + g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -13*b**3 + 102*b**2 - 60*b - 123. Calculate u(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from aixiixxiwixiiwxia.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40573 (b) -64 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**4 + 26*k**3\/3 - 56*k**2\/3 + 8*k = 0.\nAnswer: -6, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 11 = 17. Let q be ((123\/4)\/3)\/v. Let t = q + 12\/7. What is the second biggest value in -2\/3, -2, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2. Let c(b) be the first derivative of -5*b**5\/6 - b**2\/2 + 32. Let l(z) be the second derivative of c(z). Determine j(l(o)).\nAnswer: 2500*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -0.2, -1, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 4, -893124.\nAnswer: -893124, -7, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 819 and 7644?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 24*o**2 - 8*o**2 + 38*o**2 - 10*o**2. Let n(b) = 5*b. What is n(u(x))?\nAnswer: 220*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 5*y**2 - 7*y + 10. Let k be u(6). What is the units digit of ((-3)\/(-6) - -1)\/(2\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x. Let b(s) = -21*s**2 - 15. Let c(n) = -21*n**2 - 18. Let i(l) = 6*b(l) - 5*c(l). Calculate i(o(k)).\nAnswer: -525*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 765470468 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3669156 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10540 (base 6) to base 7.\nAnswer: -4242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-1934011)\/(-1097) + -9 + 1 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2)\/m)\/m)**(23\/6)*(m*(m\/(m*m\/(m\/(m\/m**(1\/5)))))\/m*m)**(-7\/6) assuming m is positive.\nAnswer: m**(-359\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 times 355?\nAnswer: 86975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.882, -0.2, 0.1?\nAnswer: 0.882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 2. Let n(v) = -v + 1. Let m(b) = -4*n(b) - 2*t(b). Let c(l) = 16*l. Give m(c(u)).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2. Let p(u) = 2*u - 7. Let d be p(5). Let a(r) = -d*r**2 - 3*r**2 + r**2 + 2*r**2. Determine o(a(b)).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -1)\/(0 - 2). Let s be ((-2)\/4)\/(2\/6). Let t be (-4)\/(-10) + 5\/(-25). What is the nearest to o in s, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, n: 2}. What is prob of picking 2 d and 1 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 3, x: 1, h: 5}. What is prob of picking 1 m and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:55 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c = -21*c - 380. Let f(l) = -3*l - 2. Calculate the remainder when c is divided by f(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2025884 or -2025882?\nAnswer: -2025882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**4)\/((x*x**(-4))\/x*x))\/(x**0)**(-38) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**6\/120 + 2*s**5\/15 - s**4\/3 + s**3\/3 + 294*s**2 + s + 1. Determine k(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let u(z) = 2*z**2 + 4*z. Let h(o) = -4*l(o) + u(o). Let k(f) = -934*f - 6. Let i(s) = 1400*s + 9. Let g(d) = -2*i(d) - 3*k(d). Calculate h(g(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1825 by 24.\nAnswer: -1825\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -12323513?\nAnswer: 12323504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 11*x + 6*x - 162 = 2*x, -4*a = -3*x - 70 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3)\/(-3)*-21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 6941*l**2 - 10*l + 5*l.\nAnswer: 6941*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -974113.81 - -17.\nAnswer: -974096.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752 (base 12) in base 10?\nAnswer: 2798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10450.53 to the nearest 100.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + (-3*(0 + sqrt(567) + 1) - (sqrt(567) + sqrt(567)*1 + sqrt(567) + 1 - sqrt(567))*5) + -3)**2.\nAnswer: 4446*sqrt(7) + 96184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**3 - 8345*g**2 - 8330*g + 16680 = 0.\nAnswer: -1668, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 1921431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-34))**4 assuming f is positive.\nAnswer: f**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-663)\/(-104)*1*(-14)\/(-63)?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**4\/4 - i**3 - i**2 + 2*i + 4. Let q be n(3). Let s = q + 9. Solve -s*t - 3*u = -1, 5*u - 1 = 2*t - 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(3*z - 2*z + 0*z) - 191*z - 44*z + 40*z.\nAnswer: -197*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57b (base 15) to base 2.\nAnswer: -10011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10266370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -341?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2134 + 2848 = 231*o - 4830 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3, -4*k + 9 = -5*h + 13. Suppose -5*x + 47 + 98 = h. Calculate the remainder when x is divided by -28*(0 - 4\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5119922 to the power of 1\/2, to the nearest integer?\nAnswer: 2263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*a**2 - 1247*a**2 - 1016*a**2.\nAnswer: -2876*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -772940 - 162.6997\nAnswer: -773102.6997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwxwxwxwxzzwzwwzwzw. Give prob of sequence xzx.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -40.5. Let q = 29 - f. Let n = q - 6.557. What is n rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14219893, -14219767, -14219641?\n\"Answer: 126*z - 14220019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12889544 to the nearest integer?\nAnswer: 3590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((-958)\/(-958)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - -1 - -3) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-288)\/704*3*44\/(-72). What is the closest to -1 in b, 2\/15, -3\/4, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38969 + -21922. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 5*q**2 - 6*q + 4. Let j be z(4). Let d be (-4)\/(-7)*(-2)\/j. What is the closest to -1 in 3, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 55*n + 7233. Let w be g(-62). Let u(b) = b**3 + 22*b**2 + 25*b + 67. What is u(w)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1 - (9 + -14 + 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1064 and 101\/1204.\nAnswer: 45752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0777 * 0.05.\nAnswer: 0.003885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2683, 2887, 3091, 3295, 3499?\nAnswer: 3703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 18, -1 in decreasing order.\nAnswer: 32, 18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 6 = -2*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-410)\/(-5) - 2\/1. Let d(u) = 9*u**2 - 4*u - 3. Let t be d(-2). Suppose -b - 8 = -z - t, 2*b = -5*z + o. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/325909 + 1955443\/3584999. Suppose 0*n**2 + 0*n + 12\/11*n**4 + 6\/11*n**3 + 0 + b*n**5 = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**2 + 9*j. Let w(k) = 2*k**2 + 3*k**2 - 5*k**2 + k**2. Calculate w(h(m)).\nAnswer: 36*m**4 - 108*m**3 + 81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -102\nAnswer: -5\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30870, 30847, 30868, 30957, 31138, 31435, 31872, 32473?\n\"Answer: 4*g**3 - 2*g**2 - 45*g + 30913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -13578 and -0.373.\nAnswer: -13578.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3702 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 16*c - 12. Let x be t(7). Suppose -x*f = -202 + 198. What is the greatest common factor of 34 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -168, -393, 0, -2?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*w, -8 = -v - 9. What is the second smallest value in -2\/9, 88, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -13 - (144 - 19 - -15 - 21)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - (-1)\/(-1))\/(12\/(-6)). Let g(i) = -66*i. Let n(w) = 7*w. Determine y*g(r) + 48*n(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(234)\/(sqrt(18)\/sqrt(3)) - (sqrt(1911) - sqrt(1911)*2)))\/(((sqrt(180)*1)\/sqrt(10))\/(sqrt(384) + 2*sqrt(384) + sqrt(6))))**2.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -15*o**3 - 9*o**2 + 9*o + 9. Let z(u) = 2*u + 4*u**3 + 5 - 4*u + 0*u**2 - 14 + 2*u**2 + 7. Calculate 2*d(g) + 9*z(g).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -301 - 4?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(20\/7)*h**(-27))\/((h**(1\/7)*h)\/((h**(-7\/2)\/h)\/h)))**(-48) assuming h is positive.\nAnswer: h**(10344\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - 162.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1226 - 1224. Let r(j) be the second derivative of 1\/6*j**4 - 5*j + 0 - 1\/3*j**3 + 3*j**i. Let c(v) = -3*v**2 + 2*v - 7. Give 4*c(n) + 5*r(n).\nAnswer: -2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 92909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(-4*h + 0*h + 3*h) + 245 - 245 + 21*h to y + w*h and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*c**5 + 72*c**2 - 393805*c?\nAnswer: 1040*c**3 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63.6341 + -244.\nAnswer: -180.3659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 850 and 22287.\nAnswer: 1114350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4 - -46)\/(24\/9) and ((-153)\/(-6))\/(9\/5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 125\/30 + (-3)\/18. Let x = m - 0. Suppose x*n + 16 - 44 = 0. 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: What is the nearest to -11 in 4\/7, -1, 25, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:51 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164 + 193. Calculate the remainder when l is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f - 103*f - 108 - 86 + 530 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 818 + -795. What is the remainder when 228 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(4\/7))**(-19) assuming w is positive.\nAnswer: w**(-209\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2 - -6) + (10 - 12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, a: 1, g: 1, l: 1}. Give prob of picking 1 h, 1 l, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -146732001*m. Let x(w) = -9*w. Determine x(y(z)).\nAnswer: 1320588009*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90905530.\nAnswer: 2, 5, 2221, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 1 + 4*i + 19*i + 13*i - 19*i as y*i + c and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*q + 142, 14825*q + 3*b - 14 = 14824*q for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 71*h**4\/24 + h**3 + 3*h**2\/2 + 2. Let n(o) be the second derivative of c(o). Is n(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**4 + 9*b**3 - 19*b**2 - 47*b + 56. Let o(g) = 3*g**4 - 9*g**3 + 18*g**2 + 48*g - 57. Let x(z) = 2*o(z) + 3*w(z). Find u, given that x(u) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1167234 to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (-3 + 0 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 207\/5. Suppose 118*n = 119*n. What is the nearest to -0.1 in n, f, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.68327 * 2072\nAnswer: 3487.73544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/15*y**2 - 8\/15*y.\nAnswer: -2*y*(y + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*t = 57*t + 3*w - 2001, 5*t - 3*w - 3287 = 0. Calculate the remainder when t is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 168870179 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwghgwzzhhozzhhhhp. Give prob of picking 1 p, 2 h, and 1 z.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.5 * 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*c - 1544 = -547*c + 3707 + 4829 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8686764745 to the power of 1\/3, to the nearest integer?\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04394 - 0.0439410223. What is q rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -187293, -187297, -187301?\n\"Answer: -4*q - 187289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -232, -24, 1\/4, -7, -2\/11, -12?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -270, -995, -1730, -2481, -3254?\n\"Answer: -n**3 + n**2 - 721*n + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*o = -2*m + 125, -5*o = 2*m - 225. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3166896161 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 14*n**2 + 5*n - 144. Let w(v) = -2*v**2 - v + 30. Let i(f) = u(f) + 5*w(f). Let h(a) = 3*a. Calculate i(h(t)).\nAnswer: 36*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*sqrt(77)*-1*-3)\/((sqrt(49) + sqrt(1225)*2)\/(sqrt(7)*2*6)).\nAnswer: -864*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -657 times 3673?\nAnswer: -2413161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 + 799*v**3 - 31769*v**2 + 30969*v = 0.\nAnswer: -837, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-1))\/((-4)\/30). Let j = -22 - i. Let u be 3\/1 - (-6 + j). Let x(r) = -r**3 + 2*r**2 - r. Calculate x(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13357650 or 13357649?\nAnswer: 13357649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2673879?\nAnswer: 3, 13, 17, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 111110?\nAnswer: 111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 91*p**2 - 211*p + 274. Give o(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 2. Let n be q(2). Suppose -b + r - n*r + 13 = 0, 5*b - 117 = r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**4\/12 + 2*z**3\/3 + z**2\/2 + z. Suppose 23*j + 10 = 21*j. Let y be q(j). Solve 2*t + 3*w + y = -12, 4*t + 16 = -w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.13 times -11027\nAnswer: -177865.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + 4 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461092*x - 153792*x - 153515*x + 2*x**3 - 153785*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 10*h**2 - h. Let y be q(-10). Is 527\/5 + y\/(-25) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(170)*2 - sqrt(170)) + sqrt(170) + -3*2*sqrt(170))*3)\/((sqrt(250) + sqrt(250) + (sqrt(250) - (sqrt(250) - 3*-1*sqrt(250))))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - v = 14 + 4, 0 = -c + 5*v + 18. Let n(k) = 1 - 5 + 1 + k**2 + 6. Give n(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 14*c**2 + 33*c + 8. Let w be z(-11). Let f(x) = x**2 - 4*x + 8. Determine f(w).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**3*t**3 + k**3 + 38*k**2*t**3 + 2*k**2 + 3*k*t**3 - 1339*k wrt k?\nAnswer: 24*k*t**3 + 6*k + 76*t**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 91904 - 92024 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, 1, -7\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 79, 90, 105, 124?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1592956*l**6 - 1527073*l**2?\nAnswer: -191154720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 359181504641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 100110100200120021?\nAnswer: 100110100200120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/85*1060\/4134.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**4 + a**2 - 1. Let t(b) = -4*b**5 - 12*b**4 - 24*b**2 + 12. Let q(m) = -12*p(m) - t(m). What is the third derivative of q(n) wrt n?\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13583 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/7 and 15\/21 + 440\/28000?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, l: 5, h: 3, f: 1}. What is prob of picking 1 l, 1 f, and 2 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1689 and -7.1?\nAnswer: 7.2689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 11 = 37. Suppose t*r - 6*r + 2*v + 282 = 0, 0 = -5*v. What is the smallest common multiple of r and 24?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 16, b: 2}. What is prob of picking 2 b?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49776\/(-27999)*90\/8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 1108176?\nAnswer: -1108178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/11 (b) -326 (c) -18 (d) 3 (e) -49 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d63 - -14?\nAnswer: d77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 52\/((-1872)\/108)*5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*x + 37. Let d = 32 + x. Let i be 36\/10 + 1\/d*-2. Solve 3*v + i = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 241*m - 8933. What is z(-46)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6727*u**3 + u**2 + 2*u - 553.\nAnswer: 40362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrcctcrnryrnrrrrc. Give prob of sequence ry.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 56270 to the nearest one thousand.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.26025 to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 1460*n + 361600.\nAnswer: -5*(n - 160)*(n + 452)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*z**3\/2 - 1211*z**2\/4 - 13091*z\/2.\nAnswer: z*(z - 38)*(50*z + 689)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0)\/(8\/864*-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcwwawwnbnwbtcw. Give prob of sequence nc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447739879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j\/(j\/(j\/(j*j**(-2\/17))*j)))\/(j**0*j**(-2)) assuming j is positive.\nAnswer: j**(2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.086 - 97.886. Which is greater: -1\/5 or g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-9))\/(4\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyg when three letters picked without replacement from ygnngnnggngnny?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13663740245 - 854?\nAnswer: -13663741099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, d: 2}. Give prob of picking 4 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -10 (c) -1 (d) 6 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10200 + 10205. Sort r, -2\/7, -0.3, -1\/2, 1 in ascending order.\nAnswer: -1\/2, -0.3, -2\/7, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/12 + 19*i**3\/6 + 2*i**2 - 3*i. Let r be t(-19). Let d = r + 10. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -942737527125?\nAnswer: 942737527125.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-1675)*(-4590)\/(-6885).\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1911) - (sqrt(1911) + (sqrt(1911)*-2 - sqrt(1911)) + sqrt(1911)) - sqrt(39))\/sqrt(192).\nAnswer: 13*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 74, 84, 86, 86?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -5, 19, -2, -42.\nAnswer: -42, -5, -2, 2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -11*c**4\/24 - c**3\/3 - 7862*c**2. Let a(s) = -11*s - 2. Determine -3*a(j) + 4*f(j).\nAnswer: -11*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292030 and 1330?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 5:29 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.8 + -0.8. Let t = -1\/35831 + 179159\/143324. Which is the fourth biggest value? (a) x (b) 4 (c) t (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*f + 65*f - 11*f**2 - 2*f**2 + 2*f - 2*f + (2*f + 4*f - 2*f)*(-f - 1 + 1) - 2*f**2 + 6*f - 5*f + 6*f to the form h + z*f**2 + w*f and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*-320.93.\nAnswer: 7381.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7047 - -7051. Solve -5*i + 24 = -r*h, 2*h = -4*i - 88 + 102 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, 3*o + 0*o - 4*c = 27. Let v(b) = b - 6. Let d be v(o). Let t = 4 - d. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13, 63, 123, 175, 201, 183, 103, -57?\n\"Answer: -3*f**3 + 23*f**2 + 2*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*l**2*m + l*m - 49*m - 29 wrt l.\nAnswer: -94*l*m + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -4. Let r be (-150)\/(-8) + l\/(-4). Let v(a) = -152*a**3. Let t be v(-1). What is the greatest common factor of t and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*t**2 + 101120255*t + 33706750.\nAnswer: 5*(t + 6741350)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6826 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11216 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -2 - (-65)\/1. Let j be 4\/14 + v\/14. Suppose -j*i + 2*q + 80 = 5, 5*q - 110 = -5*i. Calculate the greatest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g. Let m(z) = 8926*z - 4. Determine d(m(r)).\nAnswer: 26778*r - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 8. Suppose f + 4 = n. Let i(c) = -4*c - 2. Let y be i(-5). What is the highest common factor of f and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuu. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 + -10 + 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 9*c - 22. Let d be f(-11). Let l be (d\/(-1))\/(-2 + 4). Suppose -4*x = x - l*x. Is x at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 + 2541*c**3 + 2543*c**3 - 5086*c**3.\nAnswer: -2*c**3 - 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3439694474 to the nearest 100000.\nAnswer: 3439700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*l - 1122*l + 376*l + 374*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-16 + 7 + (2 - 5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -25*z**3\/2 - 37*z. Let m(y) = 18*y + 23*y + 18*y - 61*y. Determine m(w(i)).\nAnswer: 150*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 3*y + 216 = 0, 3*k + 4*y = 40335 - 40392 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82624 and 2.\nAnswer: 82624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -888 (c) -0.1 (d) -0.2 (e) 4 (f) -0.4 (g) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q + q - 3*q**2 + 8 - 6*q + 2*q**2 - 4*q. Let w = -19 + 13. Determine z(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 14*i**2 - 5 + 4.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -358*a**2*i**2*o**3 + 2*a**2*i**2 - 5*a**2 + 5*a*i - 2*i*o**2 wrt o?\nAnswer: -2148*a**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -85046*z. Let k(h) = -11*h. What is o(k(r))?\nAnswer: 935506*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11366, 0, -1.2, -1?\nAnswer: -11366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.15, -3\/5, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**4\/12 + k. Let z(d) = -2*d + 2*d - 2*d. Determine w(z(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 3\/(-3) + -643. Let k = -383 - t. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -11*s + 789. Let r be o(100). Let f(k) = -114*k + 4. Let a be f(-4). Let y = a + r. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3162 + -1?\nAnswer: 3161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 29. Let n = x + 11. Let j = -0.4 + 0.2. Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/27*3*-1. Suppose -o - 4*w = -y*o + 19, 2*w = o - 25. Suppose -5*t = -2*r - o, 0*t + 19 = 5*t + 2*r. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**4 - 21*i + 0*i + 15*i**4 wrt i?\nAnswer: 264*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -15, 0, 29, 72, 129, 200?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30736 and 3024?\nAnswer: 5809104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48430539 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -6*u - 17*j + 2628, 2*u = -4*j + 876. Is 439 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (7 - (1 - -1)). Let p be 0 + (3 - 6) + 42\/6. Solve 2*k = -p*l + 6*k + b, k = -l - 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 962?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002643131 rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27318.\nAnswer: 2, 3, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202 - 2*u**2 - 40 + 1107 + u.\nAnswer: -2*u**2 + u + 865","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {b: 4, l: 4, v: 8}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4123623 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 120000*d**2 + d + 1. Suppose -5*a + 5*f = 25, 0 = -4*a + 3*f - 6 - 10. Let p be z(a). Round p to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 62580990*l + 0 + 0*l**2 + l**2 + 62580990*l - 5.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x. What is the common denominator of 59\/10 and 2\/(32\/252) + x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -209 (c) -3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*w + 5*v + 128, -v = 4*w + 220. Let j = w - -15. Let p = j - -59. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a**5 - 74*a**4 + 192*a**3 + 106*a**2 - 180*a - 32 = 0. Calculate a.\nAnswer: -8, -1, -1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + -2.4. Sort 0.5, 0.1, k in decreasing order.\nAnswer: 0.5, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1268 - -1278) + 7 + (0 - 3)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -412 - -3315\/8. Let y be 5 - 9 - -9 - 2464\/380. Let m = y + 32\/19. What is the common denominator of m and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3237 bigger than -136009\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 46*g + 81. Let f be n(6). Let z = 369 - f. Calculate the greatest common factor of 492 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**6\/360 + t**4\/72 + t**2. Solve c(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3643*z - 4*s = 3638*z - 23, 4*s = z + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144202956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 8*v + 5*p, 109*v - 112*v = p - 46. Let j(r) = r**2 - 1. Let i(q) = 24*q**2 - 12. Give v*j(n) - i(n).\nAnswer: -9*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 190021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*h + 39 = 6*h, 5*t - 99 = -3*h. What is the highest common divisor of 54 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*(-4)\/(-12)*3. Suppose 3*s + z = -s. Let g = s - -8. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -224419.\nAnswer: -1570933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20455966725 + 20455966843.39999209. Let v = 118.4 - a. What is v rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -5*f**3\/3 + 15. Let p(i) = 4*i. Calculate p(d(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 4212?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4015831503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 12. Let u = 6 - 4. Let b(f) = -1 - 2*f**2 + f**u - 5*f + 4. Calculate b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -407aa + -33?\nAnswer: -40832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*r + 2430 = 380*r. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 816 = 3*k + 804, -3*k + 2*n = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18806 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 + 381 - 188 - 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10 - 5 - g**3 + 5 - 31*g + 14*g**2. Let n be u(8). Calculate the highest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {q: 5, o: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142333043 + -241?\nAnswer: 142332402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -704 - -1292. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*b, -r + 2*b = -0*r + 8. Does 3 divide (r\/(-2) + -9)\/(1\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39835 * -3.\nAnswer: 1.19505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 78*u - 55. What is the lowest common multiple of v(1) and 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15062 + 5?\nAnswer: 15067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22190851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*w**3 - 106*w**2 + 320\/3*w.\nAnswer: -2*w*(w - 1)*(w + 160)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2*d + 2)*(-592 - 243 - 1774) in the form g + k*d and give k.\nAnswer: -5218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 6:37 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -28 - (8 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*r - 9 + 9 as u*r + a and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*d - 43 = 0, -3*d - 10 + 22 = 0. Let v = j - 12. Let f = v + 68. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 890673 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366760549 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2\/9, 2560, -7, 6\/11, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1582.63 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1877553767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35882 and 2134.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 339?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 13 - 10*a + 15.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(-10)\/(-70))\/(475\/(-190)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-12)*d**(4\/5)*d*(d**(2\/5))**41)**(-6\/29))**(-29) assuming d is positive.\nAnswer: d**(186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.005 + 42. Let k = 9.01 - 9.01457. Let a = k - u. Round a to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516543728 to the power of 1\/3, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13722212 + 101098.06677788. Let j = -101053.2040116 + c. Let n = j + -45. Round n to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -11. Suppose -2*k + r = 3*k. Suppose 0 = k*w - 3*s - 56, 2*w = -w - 2*s + 25. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 12, -2, -22, -48, -80?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2871539333 - 2871539333 - 32*j.\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(172*l + 228*l - 122*l)*(2*l + 3*l - 4*l).\nAnswer: 556*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 26 - 8 = 22 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546565, -1093130, -1639695, -2186260, -2732825?\nAnswer: -3279390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2383*r + 37. Let h(f) = -595*f - 8. What is 9*h(k) + 2*x(k)?\nAnswer: -589*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 179 + 5647 = 0. Suppose -5*n - 522 = -6*n - r, 0 = -4*n + 4*r + 2136. Suppose 14*g + n = s. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -415 and -0.09.\nAnswer: 37.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - j)*(62*j**4 - 2707514*j**3 + 2707514*j**3).\nAnswer: -62*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3672 divided by 68?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1250 - -1249. Suppose r - 20 = -4*r + 3*w, 0 = -r - w - 4. What is the nearest to a in 1\/3, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -38 - (-14 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41158094 + -119619?\nAnswer: 41038475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 12 + 2 = 0, -3*k = -3*l - 453. What is k rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/100, -2, 0.7, 4.6, 1\/6, 2 in descending order.\nAnswer: 4.6, 2, 0.7, 1\/6, 1\/100, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -121.3, 2?\nAnswer: -121.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 5*m = -110. Let o(q) = -q**3 + 4*q**2 + 6*q - 3. Let h be o(5). Let t = 6 - h. Calculate the smallest common multiple of m and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116*0.205.\nAnswer: 23.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m + 45. Is m >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155508.9 kilometers in millimeters?\nAnswer: 155508900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -3, -357, -94?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkggggggkggkgggggkg. Give prob of sequence kk.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -8 - (-14 + 50 + -21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a**4 - 159205161*a**3 + 254728293*a**2 - 31841043*a - 63682074 = 0 for a.\nAnswer: -10613679, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1345 - 10757\/8. Which is the closest to -0.1? (a) -0.4 (b) -0.2 (c) -2.8 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -81. Suppose -11*z = 4576 + 2684. Does 7 divide z\/i + (-3)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/3, -20, -0.047, 1\/3, 1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.2 - -185251.\nAnswer: 185257.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g + 6*g - 997*g**2 + 88*g - 103*g.\nAnswer: -997*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 338 and 2384694?\nAnswer: 31001022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + 4*c = 4, 0 = -4*i - c + 8. Let s(y) = 25*y**2 - 5*y + 3*y - 21*y**i - y + 2. Let z be s(1). Solve z*u = 2*n + 14, 4*u + 3*n - 9 = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -4*z - 5, 2*z + 350 = 2*b. Calculate the remainder when b is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 8)*46123\/(-14).\nAnswer: 3, 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -7*f**4\/12 - f**2. Let z(a) = 3*a**2 + 4*a + 4. Let o(b) = b + 1. Let p(h) = -4*o(h) + z(h). Calculate l(p(i)).\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33992 + -5?\nAnswer: 33987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 12 = 3*d, 0 = 3*l + 5*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 + -2 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2 + m - 2. Let p be b(1). Let a be ((-246)\/99 + (-118)\/649)\/(1\/6). What is the closest to a in p, 1\/4, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1331*4201\nAnswer: 5591531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 0*x + 5*x + 6*x**2 + 4*x**3 + x - 5. Let v = 4 - -16. Let s(p) = 8*p + p**2 - 3 + 13*p + 2 + p**3 - v*p. Determine -q(i) + 6*s(i).\nAnswer: 2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -5, -59 in increasing order.\nAnswer: -175, -59, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 5, 0.08, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80429a (base 11) to base 8.\nAnswer: 4737403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -179*n + 1630. Give s(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*c + 28 = 0, -2*i + 6*i + 3*c = 30. Suppose -5*u + 63 = -y, -2*u = 3*y - i*u + 134. List the prime factors of y\/(-4) - 4\/(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0585 - -0.054. Round y to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -307800 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4824426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9650544 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635140 is divided by 1399?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooqooeooxex. What is prob of sequence ex?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 142524543.\nAnswer: -142524542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*d - 3, -3*d + 3 = -5*d - q. Suppose -5*n + 25 = 0, -3*m - 5*n + 61 = -d*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 12. Let v(z) = -18*z**4 + 3*z**3 + 18*z**2 - 12*z - 9. Let r(a) = a**4 - a**2 + a + 1. Let y(u) = w*r(u) - v(u). Factor y(x).\nAnswer: 3*x*(x - 1)*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 334411 + -212?\nAnswer: 334155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 5*i - 13, -5*i - 47 = 2*v - 56 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7053790 to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*z + 50, -w + 10 = 5*z - 5. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -6, 2\/5, -1, -99\/4 in descending order.\nAnswer: 2\/5, -1\/2, -1, -6, -99\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*u - 19, -4*z = 17*u - 13*u + 16. Let g(n) = n**3 - 2*n**2 - 10*n + 3. Let o(f) = -2*f**3 + 3*f**2 + 21*f - 5. Give z*o(h) - 5*g(h).\nAnswer: h**3 + h**2 - 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 6:23 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*i**3*t - 30*i**3 - 44*i**2*t - 67*i**2 wrt i?\nAnswer: 744*t - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 7 - 1. Let p = x - 6. Solve -c = -p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 4:39 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 19*f + 12. Give p(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*s - 12*s - 25*s)*(6*s - 2*s - s)*(-13*s**2 - 5*s**2 - 10*s**2 - 22*s**2).\nAnswer: 10650*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 379\/(((-4)\/(-36))\/(-1)). Let v = -2209 - m. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*z**2 + 2)*((1 + 5 - 5)*(-3 + 7 - 3) + 4 - 4 - 3).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11007341.\nAnswer: 1373, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -91, -3, 0.\nAnswer: -91, -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1803753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395, -868, -1331, -1778, -2203, -2600, -2963, -3286?\nAnswer: -3563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*k = 1870*k + 39680 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -363 + 545. Suppose -13*f = -26 - b. Calculate the highest common factor of 136 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/247, 1, -1\/4, 3, -17\/2 in descending order.\nAnswer: 3, 1, 2\/247, -1\/4, -17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*h + 136 = 0, 0 = l + 2*h - 7 - 9. Let b = 35 - l. Is -2 + (2 + -1)*b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1527 or 1498?\nAnswer: 1527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1, -0.39, 0.6.\nAnswer: -1, -0.39, 0.6, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19875 and 2650.\nAnswer: 39750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2939, 5873, 8807?\nAnswer: 11741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)\/sqrt(4) + (sqrt(28) + -3 - sqrt(7)) - (1 + sqrt(112)*-2 + sqrt(112) - sqrt(112)).\nAnswer: -4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39232*b**4 - b**3 + 16*b**2 - b + 171?\nAnswer: 941568*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -22. Find the common denominator of 33\/28 and (-375)\/36 - x\/7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2238376 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236.42811 months to centuries.\nAnswer: 0.197023425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, -3, -1, 5.\nAnswer: -3, -1, 5, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184525 = 2*g - 2*l + 48997, 5*l = -25. What are the prime factors of g?\nAnswer: 67759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 14*v**2 + 199*v + 2415. Determine g(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 216, 2, 11, 13, 1, -3 in descending order.\nAnswer: 216, 13, 11, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 155a (base 16) to base 6\nAnswer: 41150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 4:45 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 13. Suppose -4*r = -v + 46, -g*v = -2*v + 3*r - 59. Calculate the highest common divisor of 85 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 6. Let d(a) = 3*a - 7. Let u(o) = -3*o + 7. Let m(j) = 4*d(j) + 3*u(j). Determine -5*m(v) - 6*z(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 3:11 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 252563\/42 - 6014. Let l = 3\/19463 + 2004437\/1634892. What is the common denominator of l and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 g, and 2 q when four letters picked without replacement from {x: 4, g: 2, q: 6, j: 3, v: 2}?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mahomimohooham. Give prob of picking 1 o and 1 h.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111994*q**4 + 102*q + 146354858 wrt q?\nAnswer: 447976*q**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381941.\nAnswer: 7, 54563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11065*a*g*s**2 - 5*a*g*s - 6*a*g + 9*a*s**2 - a*s - 24*g*s + 29*g + 2*s**2 - 2 wrt s.\nAnswer: 22130*a*g + 18*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/2505 and -22\/75.\nAnswer: 12525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 905755269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 308.2 + -7.45. Let v = -227 + m. Let j = v - 69. Round j to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920020444 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 277*q - 6788. Calculate t(24).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106856?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 105 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 20 + 17 - 20 + 156*g**2 as a*g**2 + i*g + c and give a.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -6, -27 in ascending order.\nAnswer: -27, -6, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-1)\/3) - -7. Suppose 3*s - y*s + 16 = 0. Differentiate 33 - 20*x - 17*x + s*x wrt x.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 15*p**2 + 164*p + 3. Let l be g(-11). Calculate the highest common divisor of l and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -191*s + 2 + 430*s - 243*s - 7*s**3. Let q(u) = u**3 + u - 1. Determine -g(p) - 2*q(p).\nAnswer: 5*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2799, -2829, -2911, -3051, -3255?\nAnswer: -3529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*((-2)\/21)\/1. Suppose 0 = -4*v + g - 3, 0 = v - 5*g - 3 - 1. Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 10:02 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2\/3 + 52*p - 15640\/3 = 0.\nAnswer: -85, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 21 = -6*l. Suppose 2*u = -u + 42. Suppose -2*s + l + 58 = -2*p, s + 4*p - u = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-18) - 4\/(-12). Let g be 33\/6 - (d - 1). What is m in -5\/2*m**5 - 21\/2*m**3 + g*m**2 - m + 0 + 17\/2*m**4 = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 + 116 = -29*a - 180 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 52488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m - 10*m + 123*m**3 + 191549*m**2 - 191549*m**2 in the form l*m**2 + z*m**3 + v + y*m and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -3)*88799982\/4. Suppose 5*o = 3*y - 73999991, 3*o + 3*y - 6*y + f = 0. What is o rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k**2 + 1. Let p(h) be the second derivative of -h**5\/10 + h**4\/6 - h**3\/3 - 3*h**2\/2 + 4*h. Let i(n) = 6*b(n) + 2*p(n). Factor i(x).\nAnswer: 2*x*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 56*w**2 + 53*w - 95. Calculate the remainder when 105 is divided by p(-55).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 261*o**5 - 5*o**4 + 12*o**2 + 577952*o wrt o?\nAnswer: 5220*o**3 - 60*o**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - s + 8. Let h be u(-6). Let x = h - 15. Suppose 149 = 4*m - 5*d, 4*m - 80*d - 140 = -84*d. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 8 = 4, 2*v = f + 4*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 148\/884555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = v + 9, 2*v - m = 172 - 185. Suppose -2*u - 3*u + 10 = 0. Let z(g) = -3 - 5*g + 3*g**2 - 4*g**u + 6. Give z(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -270526789?\nAnswer: 270526792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167291533.\nAnswer: 929, 180077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 - 1075*x**2\/6 + 1867*x\/6 + 89.\nAnswer: (x - 267)*(x - 2)*(4*x + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - -1)*424\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (104 - 39) + -13 + 43 + 27\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -24. Suppose -356 = -c*k - 2*t, 4*k + 2*t = -3*t + 295. What is the remainder when k is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19.5, 2, 18\/23?\nAnswer: 18\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 160847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 186540725.\nAnswer: 4\/186540725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18\/655, 0.1497.\nAnswer: 18\/655, 0.1497, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/9)*d*d**(-12))**(-1\/78))**(-2\/51) assuming d is positive.\nAnswer: d**(-101\/17901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11373889 by -3.\nAnswer: -11373889\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 145 = 21*r. Let u(w) = -w**2 - 3*w. Let b be u(-3). What is the closest to -0.2 in r, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, -3 in descending order.\nAnswer: 9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/9, -1\/3, -5 in descending order.\nAnswer: -0.1, -2\/9, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**5\/60 + g**4\/8 + g**3 + g**2. Let c(d) = -1. Let v(i) = b(i) + 4*c(i). What is v(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -12. Suppose 4*v - 61 = -5*j + 31, k*v = -4*j + 52. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + -11 - 2) + 0 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = 4*f - 6*x + 24, 3*x = 5*f - 35. Let q(a) = 6*a**2 + a + 1. Let y be q(-1). Solve -f*b + 2 = -y*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 81. Let x = -12 - m. Calculate the remainder when x is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -4 + (1 - 2). Let u = 19870 - 19871. What is the biggest value in u, -2.14, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 607*r - 2427*r + 605*r + 610*r + 605*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*q - 54 = 3*q, -4*q - 34 = -v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4 + 5813*c**2 - 5809*c**2 - 3 + 2 - 17*c**3. Let o(t) = -17*t**3 + 3*t**2 - 4. Let i = 13 - 7. Let x(m) = i*o(m) - 5*b(m). Calculate x(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 14) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54551328 divided by 416.\nAnswer: 131133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 43*y**2 - 2 - 42*y**2 + y - 3*y**3 in the form n*y**3 + h + v*y + w*y**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - d + 2)*(2*d**3 + 125*d**2 - 125*d**2 + 5 - 2*d) + d**4 - d**3 + d**3.\nAnswer: -d**4 + 2*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 11:37 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-2))\/(-2) + 0. Let o = k + -2. Let f(j) = 8*j**2 + 3*j + 2. What is the remainder when f(o) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.8 - -28. Let y = f - -3.8. Which is the second smallest value? (a) y (b) -0.1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(107 - 367 + 93)*(34 - 34 - 4*p**3).\nAnswer: 1336*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.728953km to centimeters.\nAnswer: 72895.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-690)\/(-161))\/(2\/28) - 10\/2. What is the greatest common divisor of w and 737?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -2\/1391, 2\/9, 5, 2\/15?\nAnswer: -2\/1391","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - a**2 - 1. Let u(k) = 1520*k**3 - 11*k**2 - 2*k - 9. Give -11*n(y) + u(y).\nAnswer: 1509*y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*q + 17 = -18, -x + 2*q + 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 13205*j**2.\nAnswer: 5*j**2*(j - 2641)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*c - 55. Let f = 260 + -184. Let t = f + -49. Calculate the highest common factor of c and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*g = 19944, 2849 = 2*t - 3*g - 10460. Round t to the nearest one hundred.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564 divided by 94?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2694299 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76)*1)\/sqrt(4).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z + m = -36*z + 848, 3*m = -3. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r - 20. Let t(i) = 2*i. Give t(z(c)).\nAnswer: 8*c - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g + g**2 + 8*g - 13*g.\nAnswer: g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.23138 nanometers in centimeters?\nAnswer: 0.000005023138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 8673777?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 575476 (base 13) to base 7\nAnswer: 23402410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2408578 divided by -2.\nAnswer: 1204289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f**2*k*p**2 - 8294*f**2 - 2*f*k*p - 4*f*p**2 - 6*k*p**2 wrt p?\nAnswer: 12*f**2*k - 8*f - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1006134, -1006144, -1006142, -1006122, -1006078?\nAnswer: -1006004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + (-4)\/32*41 and 318\/80*(-2)\/3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2701095 and 17647154.\nAnswer: 264707310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l - 60768 = -46*l. What is the highest common factor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*s**4 + 2802*c*s**3 + 265*c*s**2 - 19*c + 2*s**4 wrt s.\nAnswer: -48*c*s + 16812*c + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.8. Which is the third biggest value? (a) t (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5694 and 2418.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-2)\/60 + (-2)\/(-6)). Let l be (42\/t)\/((-5)\/(-275)). What is the greatest common factor of 33 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.3 - 6. Let w = -0.7 - x. Let p = -0.1 - -0.2. Which is the nearest to p? (a) 8 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -3*f**5\/20 + f**4 - 5*f**3\/2 + 3*f**2 + 5*f. Factor c(t).\nAnswer: -3*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*l**3*x**3 - 11*l**3*x - 46*l**2*x**3 + 3*l**2*x**2 + 2*x**3 wrt l?\nAnswer: -48*x**3 - 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -391.43, 2, 4, 3\/8, 3\/4 in increasing order.\nAnswer: -391.43, 3\/8, 3\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.933748707 take away 124?\nAnswer: -118.066251293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 869591 and 12035.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 162479.\nAnswer: 1\/162479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.50901 decades in centuries?\nAnswer: 0.250901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + -2 + 67 + -26.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + 113. Let s = -185 + g. What is s rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 215*g**2 + 16*g - 8. Let j(z) = 72*z**2 + 6*z - 3. Determine 3*i(b) - 8*j(b).\nAnswer: 69*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + ((-55)\/(-29) - (-5 + 5)).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1539) + (2 + sqrt(1539))*4)**2 + -3.\nAnswer: 720*sqrt(19) + 38541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 5*p**2 - 41.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(28) - sqrt(7))*3.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwbwwiiwb. What is prob of sequence wiw?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 3*a**2 - 2*a + 3. Let j be u(-4). Let p be (-70)\/80*3\/(-7). Let q = p + 7\/24. What is the third smallest value in j, 0.6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -86*j - 337. Let x = -51\/2 - -25. What is the nearest to x in j, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136\/1095 - -2\/219. Let k(u) be the second derivative of 0 - g*u**6 + 0*u**5 + 0*u**2 + 0*u**3 + u - 1\/6*u**4. Find the third derivative of k(z) wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 + 34 + 85)*(d**2 - 4*d**2 + d**2)*(4*d + 3*d - 5*d) as z + r*d**2 + q*d + x*d**3 and give x.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14*(-3)\/10*24\/(-36))\/2.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 27*w + 125. What is the remainder when y(11) is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 11*h - y - 5847, -1061 = -2*h + 3*y. What is the greatest common factor of h and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + -2 + -3 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.871 + 41864320831.\nAnswer: 41864320831.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5518 + -4332. What is the remainder when w is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cc6 + -15?\nAnswer: cb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/((-3)\/(-1) + -5). Suppose 3*n = 4*r - 26, 5*r + 3*n + m = 23. Let b be r - 2 - 3\/(-3). Solve 6*x - 8 = b*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1158, 1169, 1196, 1245, 1322, 1433, 1584, 1781?\n\"Answer: u**3 + 2*u**2 - 2*u + 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*(132\/462)\/(1\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 309*c. Let u(l) = -13*l + 480. Let f(p) = 2*p - 96. Let t(i) = 5*f(i) + u(i). Determine q(t(j)).\nAnswer: -927*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r + 2*r - 2*r + 16*r - 3 + 0*r.\nAnswer: 4*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21143520 divided by 2.\nAnswer: -10571760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/20 - r**4\/4 + r**3\/3 + r**2\/2 + 11*r. Let k(s) = 2*s**3 + 5*s**2 - 4*s - 2. Calculate 3*k(f) + 5*v(f).\nAnswer: f**3 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**6 - 33*t**2 + 10*t**6 + 29*t**2 wrt t.\nAnswer: 1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2323855 is divided by 27993?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-494)\/266 + (1 - -2 - 195\/91)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 9\/2*b**2 - 3\/8*b**4 - 4*b - 48 - 7\/6*b**3. Suppose d(l) = 0. What is l?\nAnswer: -4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.584406489 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43715551.\nAnswer: 11, 17, 157, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2564.964828 - 0.4.\nAnswer: -2565.364828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7256471?\nAnswer: 47, 181, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (1 - 2) - (34 - 39)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**3 + 6*p**2. Let j(h) be the second derivative of 11*h**5\/5 - 55*h**4\/12 + 3046*h. What is -55*f(d) - 6*j(d)?\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16476848 and 8?\nAnswer: 16476848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44069971*k**6 - k**5 + 82713947*k**2?\nAnswer: 5288396520*k**3 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -5, -814440.\nAnswer: -814440, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/59839 and 46\/7.\nAnswer: 418873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56118 is divided by 230?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2. Let r(n) = n**2 - 970*n - 2. Give r(f(v)).\nAnswer: 4*v**4 + 1940*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 at most as big as 277\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6873 + -21?\nAnswer: -6894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14391557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = 5. Let n(l) = j*l - l - 4*l + l**2. Let h(m) = -m**2 - m + 1. Calculate h(d) - n(d).\nAnswer: -2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 11*x + x**2 - 1 - 5*x - 9*x. Let u be f(4). Let t = 0 - -3. What is the highest common divisor of u and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7868 and -0.2.\nAnswer: -1573.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-10))\/(2\/(-5)). Let d = -0.01 + 6.01. Let h = d - 1. Sort h, 1\/6, j in increasing order.\nAnswer: 1\/6, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - x - 7. Give g(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, k: 2, v: 4}. What is prob of sequence kko?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*t + 6751 = 5142 + 4364 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 12*n - 14. Let t be b(-10). Suppose 20 = -t*j + 8*j. Let q = 132 - 62. Calculate the highest common factor of q and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24424905?\nAnswer: 3, 5, 103, 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**5 + 14*a**4 - 101*a**3 - 547736*a.\nAnswer: 120*a**3 + 168*a**2 - 606*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqi when three letters picked without replacement from {s: 3, i: 5, c: 1, q: 1, f: 1, x: 6}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 956, 984, 1012, 1040, 1068?\n\"Answer: 28*y + 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 175\/38 (b) -5 (c) -14 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m + 4. Determine n(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 8:16 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/10)\/(-4))\/(8\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 101*f**2 - 197*f - 1267. List the prime factors of v(-6).\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(21\/18) + (-220)\/60. Which is bigger: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 9*v + 2. Let h be i(9). What is the third derivative of h*g**2 - 4*g**3 - 5*g**2 + 2*g**3 + 5*g**3 wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*l = 4*l. Suppose l = -4*s - r + 20, r + 21 = 5*s - 4. Solve -2*i = -5*q - s, 2*q + i - 3*i + 8 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 - 41*h + 5*h**3 + 26*h - 5*h**3.\nAnswer: 6*h**3 - 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/858*-599 - 53?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48304404.\nAnswer: 2, 3, 447263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 47*w**3 + 4*w**2 + 2*w + 3. Let l(j) = j**3 + j**2 + 1. Let p(x) = 2*l(x) - u(x). What is the remainder when p(-1) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 7*s + 3. Let q be -8 + (-1 + 2 - -2). What is the units digit of f(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 535.4628ns?\nAnswer: 0.0000005354628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**3 + 2*n - 2. Let u(c) = -24*c**3 - 11*c + 11. Give 22*q(m) + 4*u(m).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -103948 and -20?\nAnswer: 2078960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088 is divided by 224.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -100, -137, -176, -223?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-8 + 12 - 2). Suppose -7*p + 8*p - 10 = s*m, -3*p + 39 = -3*m. What is the least common multiple of 56 and p?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 3*k + 20. Suppose -k*z = 5333 - 133. What is z rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (351\/(-78))\/((-6)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 3845109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*p + 386 = -95*p + 51*p - 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**3 + 740561*r**2 + 1804846.\nAnswer: 3*r**2 + 1481122*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 39. Suppose 114 = 4*g - l, 4*g + 3*l - 122 = -f*l. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/232*16\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/19019 or -1?\nAnswer: -12\/19019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.84 - -17. Let d = p - 4.66. Let y = 4 + d. What is the smallest value in y, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88)*-6)\/(sqrt(72)\/sqrt(144)) + (-2*sqrt(704))**2 + -3*(sqrt(44) + sqrt(11)).\nAnswer: 15*sqrt(11) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m + 3*q + 59 = 0, q = -3. Let h = m + -7. Suppose -12600 = -5*s + h*s. Round s to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -128.867. Is 0.1 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 + -115. Which is smaller: 32 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*b - 35321 = -735*b - 975*b + 28915 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407261 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0261 and 30724368.\nAnswer: 30724368.0261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*h = -98*h + 23800000. What is h rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583160?\nAnswer: 2, 5, 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (9 - 10 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 468 + -12. Does 57 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - t - 5876 = 26278, -5*y - 5*t + 32130 = 0. Suppose y + 72 = 2*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -170. Let h = -108 + o. Calculate the remainder when h is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a - 13. Let i be r(-8). What is the greatest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 1\/3 (c) -5 (d) 0.2 (e) 4\/5 (f) 2\/157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60352787?\nAnswer: 11, 5486617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Convert -912 (base 13) to base 16.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -7*q**2\/2 + q - 59. Let x be (3 - 1)*2\/4. Determine w(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -18, -37, -62, -93, -130, -173?\n\"Answer: -3*p**2 - 4*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a centimeter in millimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1088 and 75\/252784288?\nAnswer: 505568576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 5*n - 3. Let v be i(3). Suppose v*m + 4*l + 19 = 0, -m + 4*m - 2*l = -31. Let j = 28120 + -28119. Put 0, m, j in decreasing order.\nAnswer: j, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:07 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 15*r**2 + 17*r + 24. Let u be c(-16). Let x be u\/10 - 88\/(-40). Find the first derivative of -11*f**3 + 18*f**x + 15*f**3 - 12 wrt f.\nAnswer: 66*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213 or 4059\/19?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:17 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 29*d**2 + 20*d - 200. Let q be v(-30). Put -3, -2, -1, q in increasing order.\nAnswer: -3, -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**8))\/(n**(-3\/2)*n))\/(n**(-1\/4)\/n)**10 assuming n is positive.\nAnswer: n**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dctt when four letters picked without replacement from {t: 4, d: 1, m: 1, e: 1, c: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1014075834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041223939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.85923 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4 times 4.43?\nAnswer: 77.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1390 and 11?\nAnswer: 15290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 4b08273?\nAnswer: 4b08275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3 + 7587*g**2 - 3*g - 102014.\nAnswer: -6*g**2 + 15174*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0*o - 3*o + 8*o)*(3*o**2 + o**2 + 3*o**2).\nAnswer: 56*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 0*d + 1\/20*d**6 - 1\/15*d**5 + 0*d**3 + 1\/12*d**4 + 0 - 9*d**2. What are the prime factors of m(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 1494 - 1494.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63749\/11 + -5791. Find the common denominator of l and ((-2)\/6)\/((-1)\/(-49)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 150, 81, 2, -87, -186, -295?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -14*l. Let b(x) be the third derivative of x**5\/30 + 6*x**2. Give d(b(p)).\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -308 - 89. Let x = p + 450.7. Round x to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*m**2 + 76*m**2 + 48*m**2 - 52.\nAnswer: -20*m**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 94*s + 480.\nAnswer: 2*(s - 16)*(2*s - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(2\/(24\/18))\/(-3). Let r(w) be the first derivative of z*w + 4 + 1\/3*w**3 - 3\/2*w**2. Find o such that r(o) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28204*u**5 + 56*u**2 + 4*u - 18?\nAnswer: 1692240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23680)\/592 + (12 - 2*-1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/9, 3, 0.4, 0.5, 5507.\nAnswer: -2\/9, 0.4, 0.5, 3, 4, 5507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160110 = 183*y - 210*y. List the prime factors of y.\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3c (base 13) in base 3?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3078043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -144478 - -144450.8078. Let x = m - -27.3. What is x rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(36\/6 - 4). Let s = -58 - -58. Put 10, f, s in decreasing order.\nAnswer: 10, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 54, 61, 76, 105, 154?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 61. Let u be (w\/6)\/(5\/(-15)). Let h be 25\/u*(-3)\/(-45)*2. What is the second smallest value in 0.5, h, -1, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 12:59 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110312 + 1321?\nAnswer: -102331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100000 = 13*i - 73459. What are the prime factors of i?\nAnswer: 11, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14223 and 23515360?\nAnswer: 4741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 132019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -1\/3, 1\/6, -59, -4\/71 in decreasing order.\nAnswer: 1\/5, 1\/6, -4\/71, -1\/3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 16 = 7*v. Let g = -181 - -183. Solve -9*b**3 - 3*b + 9*b**g - 3*b**4 - v + 6*b**4 + 4 = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 1. Let m(h) = -146*h + 146. What is -5*m(x) - 730*y(x)?\nAnswer: -730*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 y when three letters picked without replacement from {y: 3, s: 13}.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(7200) + -2)*-6 + -4 + -4*(sqrt(7200) - sqrt(7200)*-2)*2))**2.\nAnswer: -115200*sqrt(2) + 25920256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/18))\/(i\/((i\/i**(18\/5))\/i)) assuming i is positive.\nAnswer: i**(-329\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 2249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -21*v**2. Let q(o) = 13*o + 3. Let k(y) = -y**2 - 4*y - 1. Let u(m) = -3*k(m) - q(m). Determine u(t(b)).\nAnswer: 1323*b**4 + 21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + f**3 + 0*f**3)*(3*f - f - 3*f) + 0*f - f**4 + 0*f - 3*f + 0*f**4 + 4*f - f**4.\nAnswer: -4*f**4 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -8*a**3\/3 + 1. Let v be (81\/(-12))\/((-3)\/8). Let f = -12 + v. Let z(n) = -n**2. Calculate f*z(u) - t(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4)\/g**3)\/(g**(-1\/7)\/g**(-5)))**(-2) assuming g is positive.\nAnswer: g**(213\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-66)\/(-99)*(-3)\/(-4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/13))**27\/(((((((d\/d**2*d)\/d)\/d)\/d)\/d)\/d)\/d**15) assuming d is positive.\nAnswer: d**(584\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23041867.\nAnswer: 23041867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9460427*o**4 - 8701078?\nAnswer: 37841708*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.38 (b) -4 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 858, 823, 762, 675?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 2*u + 25. Let v be 49\/147 + 92\/12. Determine z(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 23. Let s(x) = 72. Let i(v) = -4*v + 2. Let l(m) = -i(m) + s(m). What is 3*l(n) + 10*t(n)?\nAnswer: 2*n - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2688 divide 121790577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0 - 43*v + 0. Let g(r) = -13*r + 43*r - 7*r - 24*r. Give g(o(n)).\nAnswer: 43*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13703726 divided by 2.\nAnswer: -6851863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v. Let w(j) = j - 3. Let z be 3\/((-9)\/1) - (-14)\/6. Let t(h) = -h + 2. Let c(l) = z*w(l) + 3*t(l). Give 2*c(i) + 2*y(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 10. Let o be k(-9). Let n = 18 - o. Let g = -16 + n. Which is bigger: 9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1490759 or -1490762?\nAnswer: -1490759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**14*d**(-9\/7))**(-14))**(10\/9) assuming d is positive.\nAnswer: d**(-640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260.2 + 100.375977.\nAnswer: -159.824023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 8:25 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13)\/(r**(-4\/3)*r*r))**(-15\/11) assuming r is positive.\nAnswer: r**(100\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1536 (base 9) to base 12.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 4*g - 2*g)*(-6*g**3 + 4*g - 4*g) - 5*g**4 + 150*g - 16*g**4 + 19*g**4.\nAnswer: -32*g**4 + 150*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1150805097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 382 + -226. Suppose 0 = 2*k - 6*k + t. Let n be (3\/k)\/((-1)\/2). Which is the biggest value? (a) -2\/11 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30857\/188969 - -87\/419. Let t = -68341\/5412 + g. Calculate the common denominator of t and 1205\/(-280) + 8\/(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + 4*sqrt(12)\/sqrt(4) + -5 + (sqrt(192) + 0 - sqrt(192)))**2.\nAnswer: -72*sqrt(3) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 28 = 5*d - 85, -d = 4*t - 15. Calculate the remainder when 65 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 135, 282, 431, 582, 735, 890?\n\"Answer: r**2 + 144*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3202 + 2*x - 3202.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31277 + 31276. Which is the fifth biggest value? (a) -4\/39 (b) n (c) 3 (d) 0 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a - 26. Let u be n(4). What is the highest common factor of u and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 22 = 0. What is the remainder when ((-4)\/(-16)*-2)\/((-1)\/60) is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibwffwh. What is prob of picking 1 f and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n**3 + 7*n**3 + n - 39 + 35 + n**2. Give h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2315?\nAnswer: 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-54 - 26640\/(-518))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38409, 76821, 115233, 153645?\n\"Answer: 38412*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -214 and -233.\nAnswer: 49862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1796737 (base 10) in base 7?\nAnswer: -21162205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5437465?\nAnswer: 5, 11, 109, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-6)*(-20)\/(-6). Let k = 16 - l. Suppose 2*h - 9 = 3*d, -4*d + 51 = 4*h + d. What is the smallest common multiple of k and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4280312521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6, -0.14, 0.12?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1054\/393 - 2\/131. Let r be -2 + 5 - (-1 + 6). Let z be r\/3*(-18 - -12). Which is bigger: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 9*h**2 - 88*h - 523. Let l be u(-7). Which is the closest to 0.3? (a) -0.3 (b) -16\/23 (c) -5\/2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {a: 14, h: 5, p: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 149 + 56. Calculate the remainder when u is divided by ((-19904)\/(-4354))\/(12\/42).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 7:52 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 9:03 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 11:10 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(4)\/(-1*sqrt(288)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 7. Let r be c(6). Solve -r = -3*y + 8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 8*i = -1404. Is (4 - 3) + i\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, 2, -2\/33, -4, -5 in ascending order.\nAnswer: -17, -5, -4, -2\/33, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 11, w: 9}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + (-5 - -4) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 5. Let z(j) be the first derivative of -j**3\/3 + 127. What is f(z(p))?\nAnswer: -p**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -69760000 rounded to the nearest one million?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 14639 + 28690. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p**3 - p - 1. Let i be w(-1). Let a be 11\/(11\/71) - -10. What is the greatest common divisor of a and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -6, 3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*v - 4 = 5, 2*v = 2*t - 2. Solve -7*z - z**t - 12*z**2 - 2*z**3 + 5*z - 10*z = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 1152*m + 1148.\nAnswer: 4*(m - 287)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518988849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 519*u - 1032. What is h(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156 + 152 + (-11 - -21) + 8 + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 767189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 11:18 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6557\/165 + -199\/5. Which is the second biggest value? (a) -1 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x. Suppose x = 2*j - 5*j + 12. Solve 0 = -o + j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 22. Let x = z + 9. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*m + 1. Let n = 27828 + -27832. Put m, 33, n in decreasing order.\nAnswer: 33, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 67 + 8. Let j = -51 - b. Let l = 32 + j. Calculate the highest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3300 and 1584?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -30058\/2715?\nAnswer: -30058\/2715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 5*d - 1742 = 0. Suppose 2*h + 3*i - 9 = 0, 16 + 35 = 5*h - 2*i. What is the remainder when d is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 3*n**2 + 3*n + 1. Let y be (-1)\/((-57)\/27 - -2). Let v be 3*(-6)\/y - 2. Give x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkppopooo. What is prob of sequence ko?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 111 - 79 - 2*j**4 + 1478*j**2 + 4*j**3 + 2*j + 2 - 1475*j**2 to the form t + i*j**2 + z*j + s*j**4 + g*j**3 and give t.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -60, -56, -52?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 16. Let q be p(-6). Let c(t) = t - q*t + t. Let n(u) be the third derivative of 2*u**5\/15 - 2*u**2. What is n(c(f))?\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/11407640 and -49\/9?\nAnswer: 102668760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 55046 (c) 22 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5270\/(-340) - (-5)\/(-2)) + 5 + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 299750 or 299749?\nAnswer: 299750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkjwkukkjkskkkkk. What is prob of picking 1 s and 1 k?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*k + 2*k + 27, 4*g - k = 32. Suppose 23 + 12 = g*r. Suppose -r*z - 2*t + 595 = 0, -5*t + 4*t = 3*z - 356. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10760\/4632 - 35\/15. Is -0.03 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152.77 + 152. Let j = 139.1 - 138.239. Let v = c + j. What is v rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 14329490?\nAnswer: 42988470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14294*k - 15047*k + 1506 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*s + 125, 0 = 56*s + 39*x - 44*x - 1655 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1696, 1705, 1726, 1765, 1828, 1921?\nAnswer: 2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2795862, -5591723, -8387584, -11183445?\n\"Answer: -2795861*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*j + 3*q = 52*j + 19, q = -3*j - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(324) - (sqrt(36) - sqrt(36)*1)\/sqrt(4))\/((sqrt(3)*1 + sqrt(3))*-4 + sqrt(9)\/(sqrt(12) + sqrt(3))).\nAnswer: 36*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/450 and -103\/3804390.\nAnswer: 19021950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9*d**2 - 59*d + 5. Let g(x) = -4*x**2 - 30*x + 2. Give -5*g(i) + 2*y(i).\nAnswer: 2*i**2 + 32*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r. Let a = 122 + -121. Let g(o) = -1638*o - 1 + 1615*o + a. What is z(g(q))?\nAnswer: -69*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2310 and 11?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 933291.1 milligrams in micrograms?\nAnswer: 933291100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-1) - 77\/(-7). Find the second derivative of -3*y**5 + y**5 + y + w*y wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 6*s + 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1428 and -13\/1260.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -405 - -402. Let v(k) = -4*k + 43. Let b(h) = -2*h + 24. Let c(f) = q*v(f) + 5*b(f). What is c(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000813090249 to 6 decimal places.\nAnswer: -0.000813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4386984 is divided by 352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 3, -5 in ascending order.\nAnswer: -5, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuauuauaauuuauu. Give prob of picking 2 a.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(468))\/(sqrt(384)\/sqrt(6)) + -6*((-1*sqrt(208) + sqrt(208))**2 + 0 - sqrt(208)).\nAnswer: 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/397539265 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 102303\/18*18\/(-12)*(-80)\/(-18). What is y rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x, -5*k - 2*x = -36 + 11. Suppose 220 = 5*b - i, 2*i = k*b - 18 - 207. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224620 and 4400?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-31)*u**(47\/2)*(u**(-1\/27))**(3\/10))**(-41) assuming u is positive.\nAnswer: u**(13858\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*r + 4*r - 5*r + (0 + 3 - 1)*(0 - r + 0) - 3 + 3 + r + 3*r - 3 + 3 - r + r + r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12757796 divided by -6378898.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1213*o**3*y**3 + 3*o**3*y + 91*y**2 wrt y.\nAnswer: 7278*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905738 is divided by 202.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1599.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*a**2 + 16*a**2 - 18*a**2 + 10 + 18*a**2 wrt a?\nAnswer: 56*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/60 + 7*j**4\/24 + 5*j**3\/6 - j**2. Suppose -9 = 6*l - 45. Calculate the lowest common multiple of i(l) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 18*m - 4*c - 5 = 0, -5*c = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = -r + 5*r - c + 65, 4*c + 1 - 11 = -3*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*f**3 + 570138*c*f**2 + 570*c*f - 6*c - 2*f**3 - f**2 + 83 wrt f?\nAnswer: -6*c*f + 1140276*c - 12*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6846372 and 468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 = -5*m + 26*m + 78 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 206 - 17*t.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2) - (-4 + sqrt(2))**2) + 3 + 3 + sqrt(242).\nAnswer: -15 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = -4*p + 2*s, 6*p + 12 = 2*s. Let i(a) = -a**2 + 1. Let n be i(2). Put n, p, -5 in descending order.\nAnswer: p, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*l + 2*l. Let s(y) = -19*y - 1. Let n be s(l). Let c be 4\/2*n\/12. Solve -c*r + 16 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/43425186 and 93\/14?\nAnswer: 43425186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 560587727 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -1138, -2552, -4532, -7078?\nAnswer: -10190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -240, -3.\nAnswer: -240, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 20 = -5*l, -1352*l + 1354*l + 8 = 5*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79200 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 95*o - 12. Let h(u) = -237*u + 30. Calculate 12*c(a) + 5*h(a).\nAnswer: -45*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/17)*b*b*(b\/(b\/(b**(3\/2)\/b)))\/b*b*b)\/((b**(-7)*b)\/(b*b\/(b*b*b**0))) assuming b is positive.\nAnswer: b**(327\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -26 and -21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0056443 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/8*1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 + 32*h**2 - 7*h - 23. Let p be n(15). Let o = 325 - p. Let k(b) = -4*b - 4. Let c(a) = 4*a + 5. Give o*k(d) + 2*c(d).\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-one halves of a millennium?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**3\/2 - 2*u. Let f(j) be the third derivative of -3*j**4\/8 + 7143*j**2. Calculate g(f(p)).\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, w: 1, t: 6, l: 2, d: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -80*z**2. Let d(c) = 220186*c. Give d(x(g)).\nAnswer: -17614880*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355332*u**3 + 355333*u**3 - 10 + 10.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**5 + 11*g**4\/2 - g**2 + 202*g - 91. Find the second derivative of w(x) wrt x.\nAnswer: -60*x**2 + 132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/(f\/(f\/(f**(-10)*f))))**(2\/47) assuming f is positive.\nAnswer: f**(10\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020362 rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -6. Let f(m) be the first derivative of -m**2\/2 + 2. Let h(b) = -2*b. Let u(z) = l*f(z) - h(z). Let g(c) = -3*c. Give g(u(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4259377 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a**2*g**2*m**2 + 7*a**2*g*m**2 + 2*a*g**2*m**2 - a*g - 2*g**2*m - 4*g*m**2 - 34*m**2 wrt a.\nAnswer: 22*g**2*m**2 + 14*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1346 - 1357. What is the biggest value in -2\/23, u, -1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21888 + 5473. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p*q**3 - 2*p*q**2 + 2*p*q + 3*p + 93*q**3 + 2*q**2 - 549*q + 1 wrt q?\nAnswer: 12*p*q - 4*p + 558*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*h + 6. Let o = 2 - h. Which is smaller: -1\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*j - 44, 8*j - 4*j + 44 = c. Calculate the least common multiple of 40 and c.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {v: 5, h: 4, l: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-30))\/((-4)\/(-8)). Which is the third biggest value? (a) 2\/5 (b) j (c) 2\/13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*h + 2636 = -337*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*c + 94706 = 2*j + 239*c, 2*j - 14*c - 94760 = 0. List the prime factors of j.\nAnswer: 2, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 11:11 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-25) - 8\/(-5). Suppose -14 = -5*i + j. Suppose -q + 7 = i. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven eighths of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/15, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56251811 and 3388.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**24*y\/y**(-4\/7)*((y*y\/(y\/((y**(-8)*y)\/y*y)*y*y)*y*y)\/y)\/y*y**(-4\/3)*y assuming y is positive.\nAnswer: y**(362\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1540580\/117 + 39503\/3. Calculate the common denominator of -19\/364 and u.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -z - 1, -2 = z + 1. Let w(i) be the second derivative of i**4\/12 + i**3\/6 - i**2\/2 + i. Let o(t) = 6*t**2 + 3*t - 3. What is q*o(u) + 3*w(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h - 1 - 6*h + 6*h)*(-6*h - 5*h + 4*h).\nAnswer: 63*h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/27*(1 + 33\/(-11))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*m + 9. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v - 11*v - 10*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*y + 11 + 15, 5*y = p - 37. Suppose 16*u + 10 = p*u. Solve -5*f - 4*q - u = -0*q, 4*f - 5*q = -8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -359, -5, -1\/5 in decreasing order.\nAnswer: 0.4, -1\/5, -5, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -7*u + 2*u. Let b be (-1 - 1)\/((-6)\/(-51)). Let m = b + 20. Solve 2*l = i - m*i, -3*i + 4*l - u = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 19 = -2*o - 9, -2*o = 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 21478900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + sqrt(208)*-1 + 2 + 1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:46 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + (sqrt(1573) - (sqrt(1573) + -1 + sqrt(1573))))*-1.\nAnswer: -2 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/28)\/((-13)\/((-1365)\/60)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1540 is divided by 762?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 7 + 1. Suppose 2*w + w + 78 = 0. Calculate the lowest common multiple of (w\/(-2) - 1) + 2 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 74712.\nAnswer: 74712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/5)\/(6*4\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*t**4 - 8*t**2 + 0*t - 77*t**3 + 35*t**4 + 4*t + 24*t**4 + 10*t**3.\nAnswer: t*(t - 2)*(5*t - 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80690870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/12 and -1\/258.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*v + 316, 58*v - 63*v = t - 565. Let f be 1\/((-15)\/16 - -1). What is the highest common factor of v and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.733 (b) 1201 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 13 = -57 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12576 and 1056.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1160548 or -1160547?\nAnswer: -1160548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooogboogbegxogg. What is prob of picking 1 x and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 11*v - 5. Let t be x(-9). Let z = -56 + t. Let o = -73 - z. Solve -5*b = -5, -o*j + b + 4 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16490628.50000004 - 16490629. Let i = 0.5 - 1. Let j = i - y. What is j rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 - 4 + 2 + 1)*(2 + 3 - 1).\nAnswer: -4*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/2 - -4) + 9126\/4. Let c = i + -1307. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*o = -2112, -3*p - o + 1240 + 28 = 0. Calculate the remainder when p is divided by 138.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(133) + -3*sqrt(133)) + (-1*sqrt(133)*2 - sqrt(133)))\/((sqrt(1008) + 2*sqrt(1008))*2).\nAnswer: sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**3\/6 - 3*a**2 + a. Let d be y(6). Suppose 6 + d = 3*z. Calculate the highest common divisor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 312\/416 - (-2594)\/(-3416). Let k = 866\/1281 + f. Determine r, given that -4*r**2 + k*r**3 + 4 - 2\/3*r = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3 = u - 4, w + 2*u = -1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-462)\/35)\/((-303)\/1010)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, v: 1, w: 3, n: 8, z: 1, y: 1}. What is prob of sequence wwnn?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 277794017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + 1 + sqrt(2) - sqrt(8)*-2 - ((5*sqrt(96) + sqrt(96))\/sqrt(8))\/sqrt(6).\nAnswer: 1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**2 + k + 3. Let c be u(1). Suppose f = 48 - c. 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: Let a(s) = -6*s - 1. Let k be a(-2). Calculate the remainder when 45 is divided by (4 - 3) + k + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/12 - 1\/4. Suppose x = 5*s + 3*s. Solve w - 3*w + 8 = s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 15.53 (c) -3 (d) 3 (e) 2\/13 (f) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**2 + 40271 - 40271 + 16*m + 2*m.\nAnswer: 18*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 2*a**2. Let o be m(2). Suppose o = -2*z + 5*z. Suppose 2*w + 3*w - 95 = z. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3315, 3695, 4327, 5211, 6347, 7735?\nAnswer: 9375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 0*l**3 - 2*l**2 - l**2 - l**3 + 5*l**2. Let b(q) = -6*q**3 + 11*q**2 - 11*q. What is -2*b(m) + 11*i(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 44 + 5 + 0 + -7 + 5 + -36\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*y + 119, s + 23 = -2*y - 18. Calculate the remainder when 478 is divided by 4\/(2 + -1 - y\/(-24)).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 6*k - 2*k + 72, 4*z + 2*k - 72 = 0. Calculate the smallest common multiple of 9 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 8*m = -270. Calculate the remainder when m is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 49330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -29*t**4 + 5*t**3 - 47*t. Let w(u) = 72*u**4 - 12*u**3 + 117*u. Let c(g) = -5*w(g) - 12*z(g). Find the second derivative of c(o) wrt o.\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(320) + sqrt(320) - sqrt(320))*2 - sqrt(320))**2 + -1 + sqrt(15)\/sqrt(48) + -4.\nAnswer: sqrt(5)\/4 + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2. Let c be y(0). Suppose c*q + q - 8 = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9576604115 plus 2?\nAnswer: 9576604117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -471.2897567 and 0.02.\nAnswer: -471.2697567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, b: 2, c: 2, y: 4}. What is prob of sequence gby?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 0)*5\/(-10). Suppose 26 = 2*o - b. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41503960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/2 - 4 - (1971\/(-810) - (-26)\/10)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7152521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38\/9 in -2\/11, 0.2, -12\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - q - 3. Let x be u(0). Let r be -3*x\/9*3. Let g(l) be the third derivative of l**4\/12 - l**3\/2 - l**2. Calculate g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 - 5680*a + 17085 = 0. Calculate a.\nAnswer: -1139, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -103960 - -414?\nAnswer: -103546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 30474.87\nAnswer: -91424.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3.22, 1, 12, 1\/4, 267, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -14 - (-2 + -19). Solve 3*g = z*h - 7*h - 5, -5*g - 16 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 4*y = -36. Sort 4, -2, y in decreasing order.\nAnswer: y, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 3*j**2 + j**2 + (6*j + 11*j - 3*j)*(-2 - 2*j + 2) + 0*j**2 - 3*j**2 + 2*j**2 to s*j + a + z*j**2 and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.17, -1\/4, -127 in decreasing order.\nAnswer: -0.17, -1\/4, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395 divided by 6.\nAnswer: 395\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**1)**(-2\/11)*t**(-1)\/(t**(-3\/2)\/t))**(14\/11))**(2\/19) assuming t is positive.\nAnswer: t**(42\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 - -220. Suppose 2*d + 203 = t*d. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209023.\nAnswer: 43, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 67749*t**2 - 67751*t**2 - 5.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**30*o**(-7)*o*((o**(-9\/8)*o)\/o)\/((o*o\/(o*(o*(((o*o*o**39)\/o)\/o)\/o*o)\/o))\/o) assuming o is positive.\nAnswer: o**(495\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30734159 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u - 6 = 0. Let y = u + -2. Solve 4*i + i - 5 = y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-588)*7\/2.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0, 5, 0.5, -2.259 in descending order.\nAnswer: 5, 0.5, 0, -3\/2, -2.259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075715343.2 rounded to the nearest one hundred thousand?\nAnswer: 1075700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3)\/(-9) - (-2)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1353519399 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 140?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5788 divided by -97\nAnswer: -5788\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 2*f - 1. Let q = -12 - -12. Let c = -2 - q. Let g be l(c). Let u(r) = -12*r**2. What is u(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 14. Suppose m*b = b + 161. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:01 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 120816*n**2 - 966672*n + 1933440.\nAnswer: 3*(n - 4)**2*(n + 40280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-19)\/20 - -3 - -4) + (-6 - 0). Put 0.3, i, 1\/3, -2.1, 1 in decreasing order.\nAnswer: 1, 1\/3, 0.3, i, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 38*o**2 + 37*o - 80. Calculate m(-39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2852 - 37108\/13. Is -0.1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8961652 and 212?\nAnswer: 474967556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 538, 764, 1008, 1276, 1574, 1908, 2284?\nAnswer: 2708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 10. Let j(v) = -3*v + 43. Let c be j(16). Put o, -1, c, 5 in decreasing order.\nAnswer: 5, -1, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-11)\/(-396))\/((-8)\/(-6)*-1)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100684240933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 - 89*o + 3*o**3 + 2*o**3.\nAnswer: -3*o**3 - 89*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 41, 53, 65, 77?\n\"Answer: 12*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n**2 + 2*n + 2. Calculate the common denominator of y(-2) and -37\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 8. Let d(h) = 3*h - 31. Let y be d(12). Let z be q(y). Which is smaller: z or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbls when four letters picked without replacement from {s: 9, b: 4, d: 2, l: 4}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*z + 80*z - 715. Solve -32*a + z*a = 95 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 14*u + 19. Let w be d(-13). Suppose 0*t - 2*t + 108 = 0. Calculate the greatest common divisor of t and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 403, 629?\nAnswer: 855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 9 (c) 1\/4 (d) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2455789, -4911597, -7367403, -9823207, -12279009, -14734809?\n\"Answer: m**2 - 2455811*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5 = 2*l, 4*l = -4*s + 2*l + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5033358011 to 3 dps.\nAnswer: -0.503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2 - p - 3 = 0. What is p?\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303939121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*t - 17, -3*t + 3*v - 15 = -0*v. Let f be (9\/30)\/((-6)\/(-4)). Which is greater: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.771 rounded to 1 dp?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 352 and 49140?\nAnswer: 4324320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + v = -2*v - 2, 0 = 5*v - 10. Let t = q - 6. Solve 4*i - i + 5*c = -1, 0 = -i - t*c - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(3\/(-3))*114\/(-95).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78441 is divided by 39152.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18500034 is divided by 2412?\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -415 divided by -33.\nAnswer: 415\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-1\/3))**(5\/7)*(q\/(q*q*q*q**6*q))\/(q\/q**(-5\/3)))\/((q**0*q**4)\/(q**8*q*q*q\/q**(-7)*q*q)) assuming q is positive.\nAnswer: q**(116\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/((q*q*q\/(q*q**(5\/6))*q)\/q)*q)\/q)\/q)\/(q*q\/(q\/(q**1*q))))\/(q**(2\/5)\/q**(2\/17)) assuming q is positive.\nAnswer: q**(-2269\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 3) + (-3 - 1) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/10 - (-30)\/(-150). Let o(x) = 3 - 8*x**2 - 4*x - x - 1 + l*x**2 - 4*x**3. Let a(g) = 9*g**3 - 7*g**2 + 11*g - 5. What is 3*a(b) + 7*o(b)?\nAnswer: -b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a - 16. Let g be q(5). What is the hundreds digit of 60\/(-3 + 1 + g\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39143*j + 88 = -39158*j - 17 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 581 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -11*h**3\/6 - 13*h**2\/2 - 59*h. Let a be k(-1). Let w be (1\/(-4))\/((-10)\/(-16)). What is the nearest to w in 0, -4, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36976*w**3 - w**4 + 250 + 747*w**2 - 18781*w**3 - 18442*w**3 - 749*w = 0. What is w?\nAnswer: -250, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) 2\/7 (c) -1 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p - 3*p + 6*p)*(0 + 1 + 0) - 10 + 10 + 81*p in the form z*p + u and give z.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 2:31 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 28 + -31 + (2 - 15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/71 + -132\/355. What is the third biggest value in k, -1, 5\/4, 21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-952)\/(-153) + (-8)\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115100277 + -34856.87.\nAnswer: -115135133.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 10*u**2 + u + 16. What is the least common multiple of 130 and p(-10)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28938013 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*h + 14 - 2, -2*h - 8 = 0. Let d be 65\/30 + s\/12*-1. Which is smaller: 4\/5 or d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -198 + 295. Let m be (2 + 0)*(-25)\/2. Let o = b + m. What is the highest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17584 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 0, j + j = 5*a + 3005. Let x = a - -845. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255 and 4980.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71198092 + -1281880889\/18. Let k = -17519 - v. What is the common denominator of k and -77\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1260540, -1260766, -1260990, -1261212?\n\"Answer: f**2 - 229*f - 1260312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(468) - sqrt(468)*2).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:17 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 - 3*k**5 - 2*k**5 + (-4*k**4 - 4*k**4 + k**4)*(3*k + 0*k - 4*k).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*o + 23 - 120, -4*o + 4 = 0. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*k + 864 = 0, 3*b - 4*k + 7*k - 1254 = 0. Let c = b - 171. List the prime factors of c.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(30\/(-5)*3\/(-9)). Let t(l) = -l**3 + 5*l**2 - 5*l + 2. Let w be (9\/(-15))\/((-2)\/10). Let v be t(w). Solve -3*g + v*g = o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.529051km in nanometers?\nAnswer: 4529051000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 65084670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqaaqaqaqqqaqqqqa.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -3*s + 20, 3*s = 3*f - s + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25908*y**3 + 51722*y**3 - 25813*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-20)*(-2)\/4*(-570)\/(-171)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1467807nm?\nAnswer: 0.0000000001467807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 take away -0.9?\nAnswer: -200.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18998, -38547, -58108, -77687, -97290, -116923?\nAnswer: -136592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 55 = p + 58, 62 = 2*v - 4*p. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -2, -3, 20, -5, -1, 4 in ascending order.\nAnswer: -22, -5, -3, -2, -1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(147))\/(sqrt(2) - (5*sqrt(8) - sqrt(2))).\nAnswer: -sqrt(19)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**3\/3 + 6*v. Let y(i) = 8*i. Give o(y(b)).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1.1 (b) -6 (c) -3 (d) 9.5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, b: 4}. Give prob of picking 1 b and 1 d.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27628.306*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 883.0835164 to the nearest ten.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 3.5.\nAnswer: 2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 - 24981*v**3 + 207966801*v**2 - 576552694951*v - 3466808371734 = 0. What is v?\nAnswer: -6, 8329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/7 (b) -5 (c) -0.03208 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2)*(-14)\/14*-3. Let d be 4\/14 - (-2)\/(-7). Solve -u - v*u - 12 = d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 14 = -n, 5*n - 405*z + 403*z = -31 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*b + 109 + 1740 = 0, 5*b - 15 = 0. What is the least common multiple of 14 and j?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 387340955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6131 + -33?\nAnswer: -6164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 12608*s**3 - 1 + 6307*s**3 + 6303*s**3 + 214*s as u*s + w + t*s**3 + h*s**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 6*a**2 + a**2)*(13*a**3 - 5*a**3 + 21*a**3) + (-2*a**4 + 2*a**4 - 2*a**4)*(0 + 0 + 2*a) + 12*a**4 - 12*a**4 - a**5.\nAnswer: -63*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/49 and 67\/10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-6)\/(-15))*-15. Let m = y + 220. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/3, -1\/4, 0, 14.\nAnswer: -4, -1\/4, 0, 2\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m**8\/m)*m*m)))**47\/(m**(-3\/23))**48)**18 assuming m is positive.\nAnswer: m**(-75240\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -24*q**4\/7 - 2*q**3\/7 + 26*q**2\/7 + 2*q\/7 - 2\/7 = 0?\nAnswer: -1, -1\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-86)\/(-4) - 1050\/75)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650805 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 - 24. Let h(o) = 8*o**2 + 19*o - 17. Let w be h(6). Suppose y + 2*m - b = m, w = 5*y - 3*m. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 50 = -2*q, 4*f - 20 = 3*q + 20. Solve -3*y = 2*y + f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 17*k**2 - 28*k + 33. Let a be o(-15). Solve a*h - 26 = -s + 6*s, 2*s = -4*h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**3 + 14*w**2 - 15*w - 1. Let p(n) = n**3 + 4*n**3 - 5*n + 7*n**2 - 2*n - 1 - 4*n**3. Let b(g) = -2*o(g) + 5*p(g). List the prime factors of b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14129 - -2?\nAnswer: -14127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x**2 - 20*x + 9. List the prime factors of n(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 654 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 4*a + 42. What is the highest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from kccddccvcbcdkccybc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 4*m - 144, 3*m + 121 - 129 = -5*y + 111 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/10*37100\/(-1060)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 636 (base 9) to base 16\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 17*a - 20. Let m be k(-13). Calculate the greatest common factor of 64 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374088, 374083, 374078, 374073, 374068, 374063?\nAnswer: 374058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45576 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -66*n - 3634. List the prime factors of r(-70).\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11245.02 to the nearest ten.\nAnswer: 11250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 30*y - 17*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*f = -487*f + 1108*f + 581 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Let p = -19.211 - -18.711. Which is the third biggest value? (a) p (b) -2\/7 (c) 3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 337618 or 337716?\nAnswer: 337618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -94722994.9 and -1.\nAnswer: -94722995.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35761.\nAnswer: 11, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4235 - 4234.95. Which is the closest to 0.1? (a) 3 (b) 1\/7 (c) -1\/10 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117.44 - 1280418.\nAnswer: -1280300.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -50460000 to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/18*3\/(-2). Let t = c - 5. Let d(s) be the second derivative of -s**3\/6 + 3*s**2 - s. Give d(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -3*q**4 + 15*q**3\/2 + q**2 - 3*q + 9. What is the second derivative of k(i) wrt i?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 4*y - 18 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 2*l - 4, -3045*u + 4*l - 8 = -3043*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 35. Suppose -3*r = -3*m - l, 4*r - 33 = -2*m + m. Suppose 2*d + u - 20 = 0, -3*d = -8*d + 3*u + 72. Calculate the remainder when d is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = -5*f - 2*k - 2*k, 4*f + 865 = k + 662 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141*v**5 - 227*v**2?\nAnswer: -8460*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3))**2*-3 + sqrt(19) - sqrt(19) - sqrt(76)\/sqrt(100).\nAnswer: -57 - sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - z + 2*z)*(0 - 4 + 2) + (-1 - 2 - 1)*(-6*z + z + z) - z + 3*z - z.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(104)\/(sqrt(48)\/sqrt(6)) - 3*sqrt(637))**2.\nAnswer: 5195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4) + 1)*(-6 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1889*s**2 - 1890*s**2 - 3 + 2. Let r(q) = 3*q**2 + 2*q + 3. Give 5*k(m) + r(m).\nAnswer: -2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 1 p when three letters picked without replacement from {g: 3, b: 1, e: 6, p: 5, y: 3, o: 1}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 717, 1326, 1935, 2544, 3153, 3762?\n\"Answer: 609*n + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15939 divided by 9?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h + 4*b - 1571, -4*h = 3*b - 2097. Suppose 15*d - h = 20*d. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/7 (b) -1\/82 (c) -1\/3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-6)\/21 + 1533\/49. Suppose 3*o - p = -d, -4*d + d = 15. Solve o = 4*k - 2*k + 2*a, -4*k - 2*a + 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 638.7*-0.43\nAnswer: -274.641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73096.5 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245377 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.917605 meters to millimeters.\nAnswer: 7917.605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**4\/7 + 1084*h**3\/7 - 86488*h**2\/7 + 2037072*h\/7 + 6919200\/7 = 0.\nAnswer: -3, 62, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 60575*b - 3271043. What is f(54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2178940 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1068337249?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 6*a + 7. Suppose i + 3 = -2. Let r be k(i). Suppose -2*j + 4 - r = 0. Calculate the smallest common multiple of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -69, -279, -635, -1143, -1809, -2639?\n\"Answer: -d**3 - 67*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 2315689.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h = -124 - 44 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 + -22241421?\nAnswer: -22242030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - (24 + -23)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119938044 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 813237845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 1\/6*t**6 + 2\/5*t**5 + 0*t**4 - 2\/3*t**3 - 1\/2*t**2 + 0*t - 3. Solve g(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1973, 3411, 4863, 6335, 7833, 9363?\nAnswer: 10931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2. Let y(l) = 507*l**2 + 69*l - 25. Determine y(r(j)).\nAnswer: 4563*j**4 + 207*j**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/8 (b) 1\/6 (c) 487 (d) 0 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**4 + 60*b**3 - 6*b**2 - 2 wrt b.\nAnswer: -72*b + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3657781?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/((-1 - -4) + 39\/(-6)) and 47\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 divided by -1?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/283 - -1150\/2547. Suppose -4*p + 27 = z, -17*p + 18*p = 2*z. Put -2, g, -14, z in ascending order.\nAnswer: -14, -2, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - m - 21 = 0, 3*x + 17 = 2*m + 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -4 (c) 3 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 19*v**2 - 18*v - 6. Let r(a) = -5*a - 108. Let s be r(-18). What is g(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -171*r**3 - 5*r**2 + 262*r - 1044. Let u be y(4). Which is smaller: u or -11019?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from knwsl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1325 times -6755?\nAnswer: 895.0375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/30*-1)\/(17\/(-255)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/12500 and -99\/100.\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-70)\/(-28))\/(5\/4). What is the second derivative of -3179*t**3 + 3179*t**3 - 42*t**4 - 44*t + 2*t**m wrt t?\nAnswer: -504*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 73 = -7*t. Let s be (-3)\/(6\/(-4)) + 115. Suppose 0 = 4*u + 3*z - 226, -s = -3*u - 2*z + 52. What is the greatest common divisor of t and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**19\/n*n\/(n\/(n**(-4\/15)*n)))\/(n**(3\/4))**(-5\/6) assuming n is positive.\nAnswer: n**(2323\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 29*s. Let r(y) = -15*y. What is l(r(b))?\nAnswer: 225*b**2 - 435*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7087*z. Let a(f) = 645*f + 632*f - 1275*f. Give q(a(y)).\nAnswer: -14174*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -30*n**2 - 350*n + 56. Give r(-12).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 + 156068168*f**4 + 1522329566429764*f**3.\nAnswer: 4*f**3*(f + 19508521)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 30 = -6*r + 4*c, 2*c = -4*r + 18. Let g = -6 + r. Differentiate 6 + 2*n**2 + n**2 + g*n**2 wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cf3 + 6b?\nAnswer: d5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 18 - 142 = 0. Let k be (6*(-2)\/(-2))\/(u\/(-8)). Suppose -3*i - 4*r + 15 = -0, -25 = -5*i + r. Sort k, i, -5 in descending order.\nAnswer: i, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 12. Let w be r(-10). Let v be 3 + w\/2 + 28. Calculate the highest common factor of 45 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2. Let h(s) be the first derivative of -s**4\/12 + 5*s**2 + 9. Let c(w) be the second derivative of h(w). Determine n(c(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v - 2 + 26 = 0. Sort v, 0.2, -3, -1\/7 in increasing order.\nAnswer: -3, -1\/7, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45d80 (base 15) to base 4\nAnswer: -312103110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 6:42 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4*b - 31 = -71, -145 = -25*o - 4*b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 + 0*o**3 - 2*o**3 + (2*o + 0*o + o)*(2*o**2 - 5*o**2 + o**2) + 0*o - o**3 + 0*o + o**3 + 4 - 4 + 1.\nAnswer: -11*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -149, -341, -611, -959?\nAnswer: -1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.0698867 - 28.07. Round v to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4287)\/(-1429)*(-1*16)\/(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j - 450 - 100*j + 450.\nAnswer: -112*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 9*r + 18. Let h be (-60)\/(-160) - ((-405)\/8)\/9. Determine j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 8. Let c be f(-2). Is ((-4620)\/(-90))\/(4\/c) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -457864*u. Let l(k) = -3*k**2 - 17*k. What is h(l(g))?\nAnswer: 1373592*g**2 + 7783688*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*(4 + (-45)\/12). Let t be 0 + g - -12 - -1. What are the prime factors of (-564)\/(-16)*t\/6?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5 bigger than -77764.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.401 - 7.929. Let q = -35 - c. Round q to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 10*c - k = -19, -3*c + 2*k + 34 = 0. Is 17 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from vkvkvyvvgvvgkvvk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4367480.\nAnswer: -1\/4367480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - x**2 + x - 1. Let b(d) = -4*d**3 - 15*d**2 + 5*d + 4. Let l(h) = b(h) - 5*r(h). Calculate the remainder when l(10) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*v - 72. Let h = 13 - -7. Suppose h*j - v*j = 120. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(1\/2)*a)\/a*a*a))**(-3\/4)\/((a\/a**(-4))\/((a*a**(-1))\/a)))**(-2\/57) assuming a is positive.\nAnswer: a**(11\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3816 by -212.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3326 - 0.6674. Which is the smallest value? (a) -4\/53 (b) l (c) 2\/3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1320 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304 = -118*a - 2602 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8)\/k)\/(k**8\/k))\/(k\/(k*((k*k*k**(-4\/3)*k*k)\/k)\/k))**23 assuming k is positive.\nAnswer: k**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43898.283 + -0.4.\nAnswer: 43897.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, -0.2, -1027, 0.845?\nAnswer: -1027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -38. Suppose -x = -5*s + 3*s. Calculate the greatest common divisor of 12 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5192 divided by -22?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 428572 and 185668.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 38*h - 17 - 62*h + 5 - 31*h. What are the prime factors of i(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6201 and 3247946?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281142299?\nAnswer: 43, 383, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 19*w**2 + 42*w + 6. Let h be o(21). What is the third derivative of -37*a**6 - 26*a**2 - 33*a**6 + 87*a**h - 42*a**6 wrt a?\nAnswer: -3000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.166? (a) -16792 (b) 0 (c) 15\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11*k - 15. Give w(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*-51.\nAnswer: 2856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1110\/(-135))\/2 + (-5)\/((-10)\/8).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-894)\/(-8) + (-6)\/(-24). Let k = a + -112. Solve q - 2 = -3*q - s, k = 3*q - 5*s + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15, 0, 1 in ascending order.\nAnswer: -15, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2160 and 34.\nAnswer: -73440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1110100 (base 2) to base 10\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 23*l + 32. Let m(j) = -j**2 - 8*j - 11. Let d(a) = 17*m(a) + 6*u(a). Let n be d(0). Let p(y) = 25*y + 9. What is the units digit of p(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4 + -36.\nAnswer: -34.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**7\/210 - d**6\/15 - d**5\/5 + 108*d**2. Factor x(g).\nAnswer: -g**2*(g + 2)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0*x - 1\/1050*x**7 - 10*x**2 + 0*x**6 + 1\/300*x**5 + 0*x**4 + 0*x**3 + 0. Factor l(q).\nAnswer: -q**2*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(3\/5)*l)\/l))**(-2\/23)\/(l*l*l\/(l\/(l\/l**(5\/2))))**(9\/8))**(-29) assuming l is positive.\nAnswer: l**(31871\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-197474)\/(-62) - (-46)\/(-713)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1436725*p**3 - 1351989*p.\nAnswer: 8620350*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2 + 24*x**2 + 25*x + 4*x**2 + x**3 - 43. Let p be u(-27). Solve -11*t + 4 = -p*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 4*w**2 - 36 + 237691*w - 237690*w - 186 - w**4 in the form i*w + y*w**2 + n*w**4 + h + r*w**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 5) to base 2.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146391?\nAnswer: 3, 7, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 4*a**2 - 3*a**2)*(-4*a**2 + 2*a**2 + 5*a**2) - 615*a**4 + 665*a**4 - 492*a**4 + (a - a + 2*a**2)*(3*a**2 - 7*a + 7*a).\nAnswer: -439*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + -6 + -2 + 9. Let m be b - (-261)\/(-18)*-4. What is the greatest common factor of m and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001121 (base 3) in base 11?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/25)\/((-2)\/5). Suppose -t*l + 4*l - 8 = 0. Let x be (-12)\/42 + 6\/21. Solve -2*s = -k + 2*s + 6, -2*s - l = x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -787311.843 less than -129648?\nAnswer: 657663.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1294 - 1308 - 4*s - 7*s + 2602 + 10*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 1, b: 5, z: 5}. Give prob of picking 3 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 18204?\nAnswer: -18201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.97 - -0.03. Let q = 9.1 - 9. What is the closest to h in -0.2, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 6)*(5 + -5). What is the third smallest value in -4, 7\/3, d?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**4\/((l\/(l\/l**(-1\/5))*l*l)\/l*l)*(l**(-1)*l*l)**(1\/41) assuming l is positive.\nAnswer: l**(456\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {b: 3, m: 3, n: 5, k: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -769*s - 140 = -789*s. Solve -1 = -5*p + w + s, -3*w + 12 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 43 = 2*w - 7*w, 3*c = 2*w - 7. Let h = 36 - w. Does 13 divide h - (-2 + 1 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 4*c - c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 75 + -78 + (-7 - (5 + -6)) - -18 - -3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 + 1 - 1)*(4*t + 2 - 2)*(-4 - 3 - 2) as a + f*t**2 + u*t**3 + c*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - 1.1. What is the nearest to 1 in s, 0.5, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.82451 meters to nanometers.\nAnswer: 45824510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 d when three letters picked without replacement from sdsddsssdsdssddddsd.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, -327, -993, -1641, -2265, -2859?\nAnswer: -3417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11980607.\nAnswer: 11980607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 8 = 12*x. Let q(v) = -46 - 22*v**2 + 46 - 11*v**x. Let s(k) = 2*k. What is s(q(p))?\nAnswer: -66*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-233)\/(-56) - (-8)\/(-28) and 83\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*w - 48626 = 247*w + 215*w + 43*w for w.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 12, 28, 44, 60, 76?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*x - 1504 = -376*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (sqrt(16) - -1*sqrt(16))*2)\/sqrt(8).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f - 24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64621573 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0261957028 rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 42\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5. Let x(k) = -1. Let q(b) = -2*a(b) - 9*x(b). Let i(z) = 3*z**2 - 2*z**2 + 2*z + 2 - 6. What is -i(d) + 2*q(d)?\nAnswer: -d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c**2 + 25*c + 20. Is 34 a factor of v(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225*y + 502 = 1221*y - 13*h + 2*h, 3*y + 5*h = y - 228 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-6)\/12*4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158617 = 5*g - 3*j, 4*g - 3*j - 23248 = 103648. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utuu when four letters picked without replacement from {u: 4, t: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71758 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 0*7\/21. Suppose -44 = -o - 3*x, u*o - 221 = 4*x - 7*x. Solve -2*g - o + 57 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -13. Let m = j + -6.9. What is the biggest value in -4, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386129489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + -1*(sqrt(396) + sqrt(396)*4 + sqrt(396))*2).\nAnswer: -432*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2 + 1359*a - 189840 = 0.\nAnswer: -565, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 685266 and 724?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 1225*f - 1218*f. Suppose 4*v - 273 = 255. Calculate the highest common factor of f and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than or equal to -27724\/3639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595665 = 40*x + 53*x. Round x to the nearest one hundred.\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 2006?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 5:35 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 + -74. Let w be (-2)\/(-3)*(-510)\/y. Let x = w - -56. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/60 + q**4\/24 - 5693*q**2. Let g(m) = -5*m - 2. Calculate g(i) + 4*r(i).\nAnswer: 4*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19018.3282 rounded to the nearest ten?\nAnswer: -19020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -34682 at most -34682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 + (-2 + 1 + 2)*(0 - 3 + 5) + 0 + 2 - 1 + 3 - 2 - 3 + 2 + 1 + 1)*(-2*m**3 + m**2 - m**2).\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + sqrt(891) + 4 + 5 + sqrt(396)*5.\nAnswer: 5 + 39*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -14 - 74. Calculate the greatest common factor of n and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1078 and 42826?\nAnswer: 471086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*w**2 - 81*w**2 - 78*w**2 + 328*w**2 - 86*w**2 + 6559*w**3.\nAnswer: 6559*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-378)\/(-45))\/((-1)\/(-300)). Suppose 37*h - o = 35*h. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547433 is divided by 3082?\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*x - 12*x + 63321 - 21*x**3 - 63338 in the form z*x**2 + d + y*x + o*x**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((2 - 7) + 11 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:28 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646 - 596 = 4*m - x, 0 = -8*x - 16 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 27 = 3*k, -4*b - 2*k - 2*k = -12. Let n(o) = -2*o + 7. Let y be n(2). Suppose -y*a + 184 = 5*a. What is the remainder when a is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25989891, -25989890, -25989889, -25989888?\nAnswer: -25989887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-13) - 8231\/13. Let o be x*(2532\/(-9))\/(-1). Let t = 298084 + o. Round t to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 13*i - 32. Let c be d(10). What is the remainder when (8\/c - -29)*3 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1279.5 to the nearest 10.\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -831.3 - -831. What is the nearest to 1 in 4\/9, b, 7, 4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2784341\/1584 - 19326\/11. Calculate the common denominator of b and -58\/63.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.38828\nAnswer: 0.77656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 762479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202302033122 (base 4) in base 6?\nAnswer: 523240042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022451 to 6 dps.\nAnswer: 0.000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 6 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1521809*d**3 + d**2 + 27*d - 82087441 with respect to d.\nAnswer: 4565427*d**2 + 2*d + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 4, 4*f + 3*l = 7*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from pnnpanpn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q. Let m be c(-5). Let k be (16\/(-20))\/(1\/(-25)). What is the highest common divisor of k and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + w = 5*w - 32, 0 = -2*c - w + 12. Suppose -c*f = f. Solve f*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 0*u**4 - 3 + u**3 + 0*u**5 - 1\/7*u**7 + 0*u**6 + 0*u**2 + 0*u. What is the third derivative of o(v) wrt v?\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b61 - 15b4?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 35. What is the tens digit of d(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 78685168, 157370339, 236055510, 314740681?\n\"Answer: 78685171*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 802 = -2*x - 872. Solve -x = 3*f - 8*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1142005325 (base 6) to base 12\nAnswer: 4416845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -818 * 0.02.\nAnswer: -16.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160851616 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 + -3 + 1 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -64. Suppose 2*d + 0 = -x. Are d and -4\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 27, 13, -1 in ascending order.\nAnswer: -8, -1, 13, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/15144 and 11\/3562626?\nAnswer: 14250504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 4 - 13 - 78*g + 27 - 14 to y*g + c and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m - 1975 = -10531. What is the greatest common factor of m and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -15*h**2 + 12*h + 1. Let d(n) = -45*n**2 + 34*n + 3. Let c(r) = 6*d(r) - 17*p(r). Let v = 4 + -3. Determine c(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2367 + 3177 = 9*o. What is the highest common divisor of o and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -989759 (base 12) to base 15.\nAnswer: -32c970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/3)\/i))**(-19\/3)*(i*i**(3\/2))\/(i*(i*i\/(i*i**(-2\/11)))\/i))\/(i*i\/((i*i*i*i**(-2))\/i)*i*i**(2\/7))**(1\/45) assuming i is positive.\nAnswer: i**(-36137\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/15 - (-1)\/(15\/1254). What is d rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/2 of a day?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f + 6 + 22 - 2 - 15. Let t(s) = 4*s - 5. Let k(o) = -3*b(o) - 5*t(o). Let x(d) = d**2 - d + 3. Let j be x(3). Calculate k(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/18 and 55\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkk when three letters picked without replacement from {q: 2, k: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.3 - -17.5. What is the third smallest value in t, -4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1079720, 1080151, 1080582, 1081013?\n\"Answer: 431*q + 1079289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 13) in base 6?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.444736 rounded to three dps?\nAnswer: 0.445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.57 - -0.57. Which is the closest to k? (a) 6 (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 20 = -2*v. Let o = 29 + v. Calculate the remainder when 34 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/10))**(-6\/5) assuming n is positive.\nAnswer: n**(9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 595*a + 134. Is b(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.359 in 25, -90, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-1 + -4)*(2 - 3). Solve -24*u + 25*u = s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 132*g - 276. Let k be q(2). Let s(w) = w**3 + 13*w**2 + 10*w + 12. Calculate s(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/3 + 14 - (5 + -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*f - 81*f - 10 = 0, 0 = -4*x - 3*f - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 q when three letters picked without replacement from gvhgqgqggggrxqgvx?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:49 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -9, 0.3, 1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 1320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17043 divided by 23.\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 18 + 12\/(-6). Calculate the lowest common multiple of 10 and -12 + s - (-3)\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2525116 and 121\/36.\nAnswer: 22726044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 850637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/36*(7 + 1). Let l(m) = -4*m + 5 - 126*m**2 + 1 + 142*m**j. Let f(g) = -5*g**2 + g - 2. What is -10*f(w) - 3*l(w)?\nAnswer: 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/4 + 16158*f**2 - 129255*f\/4 + 32313\/2.\nAnswer: -3*(f - 21542)*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1238*m = -1438*m - 52778 - 62576 + 10990 for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*n = 782*n + 441*n - 51646 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7031 times -10\nAnswer: 70310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 37 - 5*v + 2*v + 16 - 47*v**3 + 7*v as o*v**3 + p*v**2 + z*v + h and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 20 = 4*b - 5*k, -5*b + k = 0. What is the lowest common multiple of 10 and (-25058)\/(-55) + b + 8\/(-5)?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)\/(u\/(u*u**(5\/3))))\/(u**(2\/3)*u*u)**(-9) assuming u is positive.\nAnswer: u**(379\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3) + 8 + -5 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**2 + 28*p**4 + 9*p**4 - 13 - 3*p + 25*p**4 + 5 + 3*p**4 wrt p?\nAnswer: 780*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 0.2. Let b be 16\/(-10)*(-5)\/2. Suppose -b*m + 3*m = -4. What is the third biggest value in 0, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364*0.4.\nAnswer: 145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 11 = 5*r + 4, -4*r = -4*g - 15*r + 49 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (154\/(-42))\/((-2)\/78). Calculate the greatest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 2*v**2 - 9. Let s be q(-8). Let k be s\/(-39)*(-4)\/(-80). Let f = k + -7\/20. Sort f, 5, -4 in descending order.\nAnswer: 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:47 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 3*s + s)*(-3 + 3 - 3)*(70 + 32 + 31) in the form g + c*s and give c.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 338 and 3302?\nAnswer: 42926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32090 + 32432. Calculate the smallest common multiple of 741 and z.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-6))\/(6\/16). Let y be 0 - 4\/(q\/3). Let m = -5.6 + 6. Sort 5, m, y.\nAnswer: y, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83193140 rounded to the nearest one hundred thousand?\nAnswer: -83200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001424018 to 5 dps.\nAnswer: 0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(2057) + -1 + (sqrt(2057) - (sqrt(2057) + (-1 + sqrt(2057))*6))))**2.\nAnswer: -11880*sqrt(17) + 1851624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7. Let b be (2 + (l - 2))*1. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2958 is divided by 226.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + 1*(1 - 3). Let u = 34082 + -34079. What is the nearest to m in u, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121768*i**4 + 11*i**3 - 5*i**2 - 2653*i + 3651?\nAnswer: -1461216*i**2 + 66*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 + 82. Let r(b) = -b**3 - 6*b**2 + 1. Let c be r(x). Let f = -21 - c. Solve p + p = f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**5\/60 - 3*k**4\/8 - 5*k**3\/6 + k**2. Let x be c(-8). Let m be (3 - 9)*395\/x. What is m rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21762, 21822, 21870, 21900, 21906, 21882?\n\"Answer: -n**3 + 67*n + 21696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661203063 to the power of 1\/3, to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11194.\nAnswer: 2, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00318008309 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-8 - 0) - -9 - (18 - -53).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 310 + -307. Solve -3*o + 6 + z = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d = -25*d - 65. Suppose -d*a = -63*a - 117740000. What is a rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f + 37. Determine j(17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1966 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -7e?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*c**3 + 3539*c**2 - 14072*c + 14044.\nAnswer: -(c - 2)**2*(7*c - 3511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 8*f + 55. Let c(m) = -2*m**2 - 14*m + 110. Determine -4*c(v) + 7*j(v).\nAnswer: v**2 - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven quarters of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.92 - 3.644. Let u = j + -5.276. What is the third smallest value in u, 81\/5, 0?\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 20. Suppose -x = -t + 2*x + j, -3*t - 3*x + 24 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1264266?\nAnswer: 1\/421422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 200212?\nAnswer: 200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35309336 to the power of 1\/2, to the nearest integer?\nAnswer: 5942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -5, 7, 5 in descending order.\nAnswer: 7, 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 - -124. What is the smallest common multiple of z and 158?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10364 is divided by 10353?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1462 divided by 9.\nAnswer: 1462\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*g + 6 = -78*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/((g*g**(-7)*g*g*g)\/g))**(1\/27) assuming g is positive.\nAnswer: g**(10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**3 - 27130*s**2 + 36801845*s = 0.\nAnswer: 0, 2713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 12) in base 5?\nAnswer: -1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26040292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (sqrt(180) - (sqrt(180) + 1 + 2)) - (sqrt(5) + 1)*6*-2)**2.\nAnswer: 540*sqrt(5) + 1845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -22 - ((-11 - -13) + -9 - 0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1258099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213.0297 take away 0.16?\nAnswer: 1212.8697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r\/r**(-6)))\/r)**(-3\/7) assuming r is positive.\nAnswer: r**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267546283 to the nearest integer?\nAnswer: 16357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-18)\/(-7) - 25\/(-7). Suppose d = 2*x - 78, -x = -u*d + 6*d - 32. What is the remainder when 112 is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*y + 82, 4*j = -j + 5*y + 80. What is the remainder when 169 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 797567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-9) - (-9)\/((-243)\/(-1620345)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8630 and 5.\nAnswer: -43150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1535\/(-945) - (-1)\/7 and -86\/15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/140 and -115\/1904.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.915 + 0.114. Let j = u - 0.029. Sort 1, j, 2\/5, 11 in descending order.\nAnswer: 11, j, 1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 1. Let g(z) = 6*z + 21. Let h be (-2)\/(-1)*(-2 - -3). Let v(x) = h*q(x) - g(x). What is the tens digit of v(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/(-14) + (-8)\/28. Let d be m*(-2 - (-2 + 1)). Let c = 12 - d. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102016695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4322640111 - 4322460166.9977. Let q = 179935 - g. Let d = -9 - q. Round d to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 10) to base 14.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*r - 16*r - 144. What is the remainder when r is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1872 and 9972.\nAnswer: 518544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)*v)**(2\/29))**50 assuming v is positive.\nAnswer: v**(-100\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkk when three letters picked without replacement from rrxkrxrkkrxx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 0, 1 in increasing order.\nAnswer: -85, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11565 and 771.\nAnswer: 11565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, 16, 73, 182, 361, 628, 1001?\n\"Answer: 3*q**3 - q**2 + 5*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, f: 2, u: 1, o: 1, m: 2, k: 1}. Give prob of sequence mmu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10485 divided by 278?\nAnswer: -10485\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -1\/5, -4, -3\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2\/5*g**2 + 0 - 2\/5*g**3 + 0*g + 4\/5*g**4 = 0?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 2*f = 11*f + f. Solve 2*b + 4*x + 14 - 36 = f, -5*x + 10 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - -18. What is the remainder when v is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14697 + 14701. Let s = -5 + 11. Let f be (2\/(-8))\/(s\/16). What is the closest to f in z, -11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.02724 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 2*l**2 + 15*l - 3. Calculate o(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**5\/20 - 29*v**4\/12 - 4*v**3\/3 + 79*v**2\/2 - 32*v - 1. What is the tens digit of s(30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**2 + 9*w**4 - 2 + 3*w - 10*w**4 - w in the form d*w**3 + i*w + y*w**2 + j + v*w**4 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20002221 (base 3) to base 5.\nAnswer: 120303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 7 = x, -3*x + 6 = -1709*d + 1706*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -499 in 2\/21, -1\/3, -3\/2, 6\/17?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2. Let k(h) = -31283756*h. What is k(d(t))?\nAnswer: 62567512*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -492, 4\/5, 3, -3?\nAnswer: -492","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 6) to base 7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7711 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -299\/2 (b) 3\/5 (c) -0.5 (d) 0.4 (e) -48 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/(2\/(-4)). Suppose 4*u + x*c - 7 = 0, -24 = -3*u + 2*c + 2*c. Let b be (39\/9 - u)*0. Solve 2*g = -2*q - 10, g - 2*q + 2 = -b*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162374237.\nAnswer: 47, 3454771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in minutes?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*x - 800 = 341*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 0*v**5 + 1\/56*v**8 + 0 + 0*v**3 + 0*v**6 - 3*v + 1\/12*v**4 + 0*v**2 + 0*v**7. Find the third derivative of f(w) wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -694*t**2 + 694*t**2 + 3*t**3 - 3*t.\nAnswer: 3*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -222 and -3.8.\nAnswer: 843.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:03 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 5*z + 4*n, -18 - 47 = -4*z - n. Suppose 3*b + u = z, -3*b + 2*u = 4 - 10. Solve -10 = -2*v - 5*x, -11 = b*v - 4*x + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, x: 7}. Give prob of picking 3 d and 1 x.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:48 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*y + 12 = 6*m, 0 = 4*m + 2*y - 24. Let s(w) = 0*w**2 + 5 - 6*w - 3 + 2*w + m*w**2. Calculate the remainder when 27 is divided by s(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*a = -4*b + 9, 2*b - 4*a = 10. Let o = -157001 - -157005. Let q = 3716\/13 - 286. What is the smallest value in 3\/7, q, o, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-845370)\/23634 + 3\/(-13).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30812089*x**2 + 7 - 2 - 30812088*x**2 - 5.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*b*i*o - b*i*q**2 - 6766082*b*o**2*q**3 + 2*b*o**2*q - i*o**2*q**2 - 15*i*o**2*q - 39*i*o + 2*i*q**3 wrt q?\nAnswer: -40596492*b*o**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 5*v**2 + 10*v + 2. What is the units digit of m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1842)\/(-921))\/((-10)\/4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*h**2 + 443175*h**3 - 221590*h**3 - 221588*h**3 + 30*h + 13354 - 4*h**2 wrt h?\nAnswer: -9*h**2 - 28*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) + 9\/4. Let i = 14.4 - 11.4. Put i, 0.5, h in descending order.\nAnswer: i, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16909 - 16907. What is the fourth smallest value in g, -3, -197, -3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**5 - v**4 - v**3 + 1. Let r(b) = 4*b**5 + b**4 + b**3 - b - 3. Let u(x) = -2*j(x) - 2*r(x). Find the second derivative of u(o) wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 13. Let a(y) = y**3 - y**2 - y. Let h(i) = i**2 - 9*i + 20. Let g be h(5). Let j(u) = 3*u**3 + 0 - 2*u**2 - 2*u + g - u. Determine b*a(l) - 4*j(l).\nAnswer: -l**3 - 3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0 - -2) + 0. Suppose -u*n = 2*n - 16. Let k = 2.2 - -0.8. Which is the third biggest value? (a) k (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004 is divided by 128.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1049 + -654. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292887*n**3 - 1074909*n**2 - 589404*n - 1980 = 0.\nAnswer: -3, -2\/3, -110\/32543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 2*q**3 + 656 - 656.\nAnswer: -2*q**3 + 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1905 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*w**3 + 5438*w**2\/5 + 43456*w\/5 - 512\/5.\nAnswer: 2*(w + 16)**2*(85*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -0.3. Let f = 0.60064 + g. Round f to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/17 (b) -2 (c) 12974.1 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -3*b**2\/2 - 5*b + 6. List the prime factors of n(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-2 - -3) + -3. Let x be (3 - 1)\/(1 - 0). Solve x*s = -m*s + h + 3, 4 = -3*s + 2*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/9 of a day in minutes?\nAnswer: 7360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 48*l + 1. Let t be g(1). Let a = -34 + t. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/9)\/((-325)\/390). Which is the third smallest value? (a) 3\/8 (b) g (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 - -189. Let n = q - -44. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 112631, 225245, 337831, 450389?\n\"Answer: -14*b**2 + 112656*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64285 and 36179?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/2)\/(39\/26) - -1. Find p such that 20*p**4 - 19*p**5 - 108*p**3 + 16*p + 16*p**2 + 65*p**4 - 9*p**j + 19*p**4 = 0.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -473*u + 3318. Determine m(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -106108579 at least as big as -106108583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 601*b**3 - 601*b**3 + 11*b**5 - 12*b**2 wrt b?\nAnswer: 660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -56 (c) 0.16 (d) -0.032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 37. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + z**2 + 3*z**2)*(-318*z**2 + 377*z**2 + 343*z**2).\nAnswer: 402*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36703 = -69*g - 35461 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32289 divided by -3?\nAnswer: 10763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48194 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 905465351 by 5002571.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12507 is divided by 1131?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q - 874 = -134*q + 578 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/27)\/((o**(-4\/3)*o)\/o) assuming o is positive.\nAnswer: o**(34\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 0*c**2 - 2*c**4 + 0*c**4 + (-3567358*c**2 - 5175*c**4 + 3567358*c**2)*(-3 + 4 - 3) to the form k*c + s*c**3 + h*c**4 + t + f*c**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f**3 + 2336 + 8*f**3 - 2350 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 u, and 1 l when three letters picked without replacement from {u: 3, l: 6, k: 2, o: 2}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -10 (b) -2 (c) 0.4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 652*m = -2*n + 662*m + 40, 5*n - 4*m - 50 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252574 and 144328?\nAnswer: 1010296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -16. Suppose 12*n + t = 13*n. Find the third derivative of -l**3 - 3*l**3 + 3*l**2 + l**n wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:15 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1208*l*w**3 + 2*l*w - w**3 + 2*w**2 + 7*w - 4 wrt w.\nAnswer: -7248*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201202100 + 2?\nAnswer: -11201202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:50 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -731, 4, 7\/479?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 21*v**2 - 23*v + 39. Let x be p(-20). Let d = 25 - 53. Let a = d + 37. Calculate the greatest common factor of a and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -6222197.1.\nAnswer: -1244439.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88108 - 68*r**3 + 67*r**3 - 88108.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 8*z - 8. Let f(d) = -d**2 - 7*d + 7. Give 5*a(k) + 6*f(k).\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1534 - -1?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 8. Let k be (7 + (-490)\/72)*9 - 5\/4. Sort p, 1, 3, k.\nAnswer: p, k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4652 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -16243 bigger than -16271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:59 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9048?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 - -60. Let o be n + 1 + 6\/3*-1. Let v(g) = 3*g + 6. What is the least common multiple of 22 and v(o)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 15 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25815333403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:09 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161106 = -22*h + 649176. List the prime factors of h.\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17613\/(-189))\/(-19) + 18\/189. Solve -k + 9 = 3*h, -4*k - t*h - 12 = -9*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616467.\nAnswer: 3, 67, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/24 + -1 - 1074665\/(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/2*(-177)\/(2124\/(-48))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*-2*(1 + sqrt(208) + sqrt(208) + sqrt(208) + -5 + sqrt(208))*3 + -4)**2.\nAnswer: -44352*sqrt(13) + 1084201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**2 + o**3 - 15*o**2 - 6.\nAnswer: o**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -23*f**6\/120 - f**4\/12 - 71*f**3\/6 - 2*f**2 - 79*f. Find the first derivative of p(u) wrt u.\nAnswer: -69*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, z: 7}. Give prob of sequence zzn.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**4\/12 - c**2 + 3*c. Let p(w) be the first derivative of d(w). Let t(v) = 3*v**2. Give p(t(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 389298071 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32602203 to the nearest integer?\nAnswer: 5710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109751, -219948, -331047, -443498, -557751, -674256, -793463, -915822?\nAnswer: -1041783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10130 + -3?\nAnswer: -10133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -87 - -93 - (-1228 - (-4)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955 is divided by 103?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 342303233 (base 5) in base 11?\nAnswer: 9520a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4511257.\nAnswer: 751, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*d + 4*d - 5*d)*(47*d**3 - 3*d**3 - 10*d**3) - 212*d**2 - 4*d**4 + 212*d**2 in the form h*d**2 + v*d + m*d**3 + t*d**4 + s and give t.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 109 - 421. Find the second derivative of -188*p**3 + 91*p - 8*p**3 - 15*p**3 + b*p wrt p.\nAnswer: -1266*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:14 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**3 - 5*w**2 + 2*w + 2. Let h be g(4). Suppose -h - 349 = -5*i. Let x = -66 - -93. What is the remainder when i is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 1 + 1)*(2 + 0 - 3)*(-1 - 3 + 0)*(-7 - 21*x**2 + 7).\nAnswer: 168*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3897 or -13?\nAnswer: -3897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 17. Which is greater: h or -18?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9475 divided by -379\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaajjjaaaja. Give prob of sequence jaaa.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18098020*i**2 - 2*i + 161844319.\nAnswer: 36196040*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(10)\/sqrt(2)*-3.\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72\/5, -0.02, 5, 3, 0.9, 0.3 in ascending order.\nAnswer: -72\/5, -0.02, 0.3, 0.9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033890 divided by -13255?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 18909*r**2. Let d(k) = -15*k**2. Determine d(l(v)).\nAnswer: -5363254215*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 578673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -115*p + 250. Suppose -q - 5*g - 10 = 0, 0*g = -q - 4*g - 9. Let y = 9 - q. Calculate the lowest common multiple of y and h(2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 5. Let a be d(7). Let g(f) be the third derivative of 1\/84*f**4 - 2*f**a + 0*f**3 + 0 + 0*f - 1\/210*f**5. Factor g(p).\nAnswer: -2*p*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (6*(-1*-1*sqrt(65) + sqrt(65)))\/(-2*sqrt(180)*-1 - sqrt(180)))*4.\nAnswer: 20 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 2\/7, 11, -10\/299, 1\/3, 21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = y + 2*y, 0 = -5*v - 4*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*w - 75, 4*h - 90 = -4*w - 6. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2122 + 33?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17542018 to the nearest integer?\nAnswer: 4188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (-4 + 1*sqrt(567))) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-143 - -146) + (-9 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1508 + -1506. Solve -40 = z*p - 50 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppqpttiiqpiplttp. What is prob of sequence tqti?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -767.183 (b) -5 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4288 + 4285. What is the nearest to -5 in -67, n, -4\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 353 + -651. Let n = -12 - b. What are the prime factors of n?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -35. Suppose d*f + 21 = 10*f. Let p be (3 - (1 + -2)) + 3 + -5. Solve -j - p*j = f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11*((30 - 48) + ((-11176)\/(-121))\/8)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*(q\/(q\/q**(1\/6)))\/q))\/(q\/q**(-7)) assuming q is positive.\nAnswer: q**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 18819\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/491400 and -151\/108.\nAnswer: 491400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 3*o**5\/20 + o**4\/24 + o**3\/6 - o**2. Let z = 2 + -6. Let i(f) = -4*f - 17. Let a be i(z). Calculate n(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}