diff --git "a/data/dm_maths/full_data/1796_11255.jsonl" "b/data/dm_maths/full_data/1796_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1796_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the remainder when 17120359 is divided by 3226.\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2303073927 to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -153, -243, -331?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -750*x**4 - 25*x - 4 wrt x?\nAnswer: -9000*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)*v*v*v**(4\/3) assuming v is positive.\nAnswer: v**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 19 - 65. What is the greatest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from mmccgmcmmmmb.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6)*28\/(-462). Let f = -71\/165 + l. What is the third smallest value in 0.4, f, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 5. Calculate o(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 139 - 36 = 0. Let y = z - 35. Let o be (y - 1)\/((-1)\/(-7))*-1. What is the highest common factor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7065 and 6166960.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 5*j**2 + 7*j - 3. Let p be s(6). Suppose 24*i - 16 = 16*i. Suppose i*r + 17*r - 456 = 0. Solve -18 = -h + 5*z + 2, 3*h - p*z - r = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 300702091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = 2*p. Let o(r) be the first derivative of -r**4 + r**2 + 3*r - 3559. Let u be o(p). Solve 4*m + 2 = u*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 * 16430.\nAnswer: 1002230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131580 divided by 65790.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9*n**2 + 3*n - 1. Let c(r) = -5*r**2 - r + 1. Let h(o) = -7*c(o) - 4*f(o). What is the units digit of h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-99072)\/4608)\/(4\/6*((-7)\/4 - -1))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 3*o - 4. Give t(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 18958639.\nAnswer: 189586390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-3 - -31 - 15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (18\/(-4))\/((-46)\/(-12) - 4) and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) 2\/3 (c) -5 (d) -6 (e) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*o = -2072, -4*u + 4483 = -3*o + 337. What are the prime factors of u?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358565241.\nAnswer: 3, 17, 7030691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of -1 - 1 - (-3400)\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + f + 7*f + 27 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1156 - 2314 + 441*u**3 + 1158 + 221*u**2 wrt u.\nAnswer: 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 6, -3*d - 2*w + 3 = 281. Let r = 136 + d. Calculate the greatest common divisor of r and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66962\/(-162622)*(-16)\/(-14)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-2\/13))\/(u*u**(2\/17)))**(-31) assuming u is positive.\nAnswer: u**(-4991\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2431*a + 2595. What is o(1)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2087007 divided by -177?\nAnswer: 11791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*q = 5*q - 5, b = 2*q + 13. Let o = b + -16. Sort 2, o, 5 in ascending order.\nAnswer: o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.2 + 197.2. Let f = h - 163. Sort f, 0.21, -3\/7 in decreasing order.\nAnswer: 0.21, -3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 + 108\/63. Suppose -s*l + 5*m = -175, -2*l + 2*m = -5*l + 234. Let p = 40 - 20. What is the greatest common factor of p and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6) + (-33)\/(-9) + 2. Let v(r) = -r**3 + 6*r**2 - 6*r. Determine v(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730652617 a multiple of 5173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -465 + 1226. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146144 (base 10) to base 4.\nAnswer: -203223200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4 = 3*i + 2*i, 3*m = 3*i. Suppose 0*t + 12 = -i*t. Which is the second smallest value? (a) 1 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 6*h - 4*h - 1)*(1 + 2 - 1)*(-4*h - 42 + 68 - 43) in the form y + x*h + o*h**2 and give x.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (5 - 5) - (-7 + 2)) + 13\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.2, -0.3327498 in descending order.\nAnswer: -0.2, -0.3327498, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012257385 to seven decimal places.\nAnswer: -0.0001226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*o = -21, -2*o = 4*h - 5*h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230095752.\nAnswer: 2, 3, 43, 59, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*i**2 + g*i + 2*g + 423*i**2 + 2*i - 237 wrt i.\nAnswer: -2*g + 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1780, 1682, 1584, 1486, 1388, 1290?\n\"Answer: -98*y + 1878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -96\nAnswer: -7\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/8 - (-15)\/(-60). Solve -w*o = -o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*s = 5*d - 170, 5*d - 287 = -3*s. Let y = -54 + d. Solve -5*k = 3*p + 5, 2*k - y*k + 3*p + 19 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.69835 plus -1.64?\nAnswer: 437.05835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0) + 3 + 2. Suppose 0 = -2*u - u + 6, 3*h + 13 = v*u. Is 7*(-12 + h)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 10:35 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137740, -275537, -413390, -551299?\nAnswer: -689264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9033330 by 5.\nAnswer: 1806666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 9*i**5\/40 + 13*i**4\/4 + 15*i**3\/4 - 6*i**2 - 111*i. Factor s(x).\nAnswer: 3*(x + 1)*(x + 8)*(3*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29954030 to the nearest 10000.\nAnswer: 29950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, 9 in decreasing order.\nAnswer: 9, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(9) + (sqrt(1296) - -1*sqrt(1296))).\nAnswer: sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(126)\/(sqrt(35)\/sqrt(5)*-1))\/(((sqrt(462)*2)\/sqrt(11))\/(sqrt(7) + (sqrt(112)\/sqrt(2))\/sqrt(8))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 4*u**2 - 1. Let y(h) = -h**2. Let i(q) = -4*q**2. Suppose 0 = -3*d - 44 + 17. Let x(m) = d*y(m) + 2*i(m). Determine x(v(o)).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 141548817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 + 2*f - 35. Let v be t(12). Suppose 0 = -10*d + 5*d + 1980. Suppose -4*o + v = -m, d = -0*o + 4*o + 4*m. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2374548?\nAnswer: 2, 3, 11, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 101*d - 34. What is q(-25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 4:27 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -3. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4846 + -4266. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -5*g**4\/24 + 26*g**2 + 3*g + 2. Let n(o) be the first derivative of q(o). Let d(c) = 2*c. Determine n(d(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 + (-2)\/6. Suppose c*n = -4*n - 36. Let b = 15 + n. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -623872, -1247642, -1871412, -2495182, -3118952?\n\"Answer: -623770*i - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626730 is divided by 131.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 3:09 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i + 72. Suppose i*o = 22*o - 1432. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5597304 by 24.\nAnswer: -233221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29\/172 - -7\/86. What is the second smallest value in 0.5, 0.07, 1\/16, 0.1, o?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**2 - 1436180*j - 103130649620 = 0.\nAnswer: -143618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -85237 (b) -2 (c) -118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 675.72 - 655. Round h to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h\/h**(-2\/7)))\/h**7)**(-2\/21))**(-7\/2) assuming h is positive.\nAnswer: h**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10047 times -4?\nAnswer: 40188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221212211 - -2021?\nAnswer: -221210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t\/((t*t\/(t**8\/t))\/t))\/t))**(-39) assuming t is positive.\nAnswer: t**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12371 (base 8) to base 6\nAnswer: -40505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1180 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(228) - (sqrt(228)*4*1 - sqrt(228) - sqrt(228)))\/((sqrt(768)*-2 + sqrt(768))*-1 + -1*sqrt(768)*-2).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.4 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 9:37 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -14610\/319, -2\/3 in descending order.\nAnswer: 0.1, -2\/3, -14610\/319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + 1.6. Let k = 0.8 - z. Let p = -8 + 6. Which is the closest to p? (a) 2 (b) k (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50924542 is divided by 6605?\nAnswer: 6597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Solve -m = -2*m + c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17913.82 rounded to the nearest 100?\nAnswer: 17900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t - 8, t - 16 = -5*r. Suppose -48 - 12 = -2*z. Suppose r*u = u - z. Round u to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293858 is divided by 73426.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + (-5*sqrt(171)*-1 - (sqrt(171)*1 + sqrt(171))*-1)\/(1*sqrt(225) + (sqrt(729) + sqrt(729)*-2 + sqrt(729) - sqrt(729))))**2.\nAnswer: -14*sqrt(19) + 1251\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3*j - 1 + 5*j + j + 0*j + (3*j + 0*j - j)*(-29 - 14 + 13) + 3*j - j + 0*j.\nAnswer: -55*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 divided by 4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 710363 and 803?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 + 18 = -4*b, -4*p + 2*b + 76 = 0. Which is greater: p or 93\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1, 146, 1.6, 2789 in descending order.\nAnswer: 2789, 146, 1.6, 1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 15. Let u = 177 + -172. Suppose -m = 4*m - 20, -u*m + 10 = -2*w. Solve 0 = -4*l + 3*l - t, -w*l = -k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*q**2 - q + 24.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(187\/(-220))\/17. Which is the fourth smallest value? (a) -1\/6 (b) 5 (c) -45 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u + 37. Let d be m(-19). Let y = d + 86. Suppose 3*i - 54 - 27 = 0. What is the remainder when i is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11021 + -1312?\nAnswer: -12333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980)*1)\/(sqrt(55)\/(sqrt(33)\/sqrt(3)) + sqrt(5)) + 0.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:07 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778 = -4*o + 8382. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/9 - 342\/81. Which is the smallest value? (a) 3\/4 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 1 - 13. Suppose o*u - 10 = -2*u. Suppose 0 = k - u - 2. Solve 2*x = 6*h - k*h - 2, h = 2*x + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1316.4 + 1316. Which is the second smallest value? (a) -3 (b) y (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6112413.\nAnswer: 3, 679157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 504, 1165, 1826, 2487?\n\"Answer: 661*m - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158955 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180*m**3*n**3 - 3*m**2*n**3 - m**2*n**2 - 9*n**3 wrt m?\nAnswer: -1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -29*n + 6. Let l(z) = 1. Let u(q) = -a(q) + l(q). List the prime factors of u(2).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**6\/w)\/w)**(-2\/75)*(w*w\/(w\/(w**(-5\/13)*w)))\/w**(30\/11))**(-43) assuming w is positive.\nAnswer: w**(195521\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {c: 2, d: 4, a: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467, 902, 1341, 1784, 2231?\nAnswer: 2682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006215855 rounded to 7 decimal places?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 46*j - 9. Let t(n) = 23*n - 4. Calculate -4*b(i) + 9*t(i).\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 3*x**2\/2 - 16*x - 127. Determine g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 985, 0.13, 1, 0?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 13*p - 32. Suppose 3*y - 5*c = 19, -2*c + 25 = 3*y - c. Let q be a(y). Which is greater: -21 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -277 by 277.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2 - (-4 - -3)) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17 - 17\/((-34)\/8). Let m(w) = w + 123. Does 11 divide m(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 308, -49, 4 in ascending order.\nAnswer: -49, 4, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.79646 to 2 decimal places.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-35))\/i)**23\/(i**(1\/17)*i**(2\/67)) assuming i is positive.\nAnswer: i**(-890799\/1139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 4*p + 16 - 18, -5*u - 7 = 4*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68460500 rounded to the nearest one million?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851.2081ns in minutes?\nAnswer: 0.000000047520135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 101*p + 18*p = 467480. What are the prime factors of p?\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1345*l**2 - 16. Let c(o) = 2207*o. Calculate j(c(n)).\nAnswer: 6551291905*n**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22727 or -22726?\nAnswer: -22727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxvl when four letters picked without replacement from {v: 5, a: 5, n: 2, x: 1, q: 1, l: 5}.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136.2 - -136. Let t = -122 + 122.77. Let n = t + 0.23. Which is the closest to -1\/3? (a) n (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, -19, -76, -187, -370, -643, -1024?\n\"Answer: -3*j**3 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21502 - 10405524?\nAnswer: -10431430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**4*w)\/(w\/w**(-3)*w))**(35\/3) assuming w is positive.\nAnswer: w**(-245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 15) + (12 - 18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3569, -7137, -10705?\nAnswer: -14273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-13)*b**17 assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10644 (base 7) to base 6.\nAnswer: -20343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -482815866 divided by -39.\nAnswer: 12379894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 418, 927, 1640?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14947 - -14945.5799. Let a = 1.41 + v. What is a rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 34 = -3*u, -c - u = 2*u - 14. Find the common denominator of -79\/10 and 26*(c\/3)\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 546 = -21. Which is bigger: u or -313\/3?\nAnswer: -313\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-222)\/(-78) + ((-82)\/(-26) - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -112, -287, -532?\n\"Answer: -35*l**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-33)\/((-2866)\/572 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 10*s - 16. Suppose 12 = s*p - 12. Solve o = 4*c - 18, -4*c + 8*c = -2*o + p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 - s. Let q(k) = 4*k**2 - 7*k + 5. Suppose -6*t = 4*t - 30. Let d(y) = -2*y**2 + 4*y - 3. Let v(u) = t*q(u) + 5*d(u). What is -4*m(r) + 7*v(r)?\nAnswer: -2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 7*u**2 + 7*u + 8. Let n be p(6). Calculate the highest common factor of n and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59135433 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 64. Let p(t) = -126*t. Determine p(z(q)).\nAnswer: -126*q - 8064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.9, -3\/2, 0.03, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 88*w**5\/3 + 3170*w**4\/9 + 3176*w**3\/3 + 2840*w**2\/3 + 64*w\/9 = 0. Calculate w.\nAnswer: -8, -2, -1\/132, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -13*b**2. Let t(r) = 286*r**2. Let f(z) = 65*p(z) + 3*t(z). Let a(k) be the third derivative of -k**5\/30 - 3613*k**2. Give a(f(g)).\nAnswer: -338*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 248, -2\/3, 2?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 15. Let p(k) = k + 2. Let q(x) = -5*x + 32. Let j be q(10). Let s be p(j). Is y greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32498 + -1229?\nAnswer: 3126e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.614 - 0.214. Suppose 4*q = -3*t - 24, 4*q + 0 = 4*t + 4. Let i = 0.27 + -0.37. What is the third biggest value in t, 3\/7, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13037, -13086, -13255, -13604, -14193, -15082?\nAnswer: -16331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(18\/12))\/(2\/(-9)). Let r = i + 121. List the prime factors of r.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/6 - 17*p**2\/3 - 251*p\/6 + 143\/3 = 0.\nAnswer: -22, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -9883340 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*s = 5*q - 6, 2*q - 2*s = 4. Let u(p) = -5 + 2*p + p**2 + 0*p**q + p. What is the tens digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -23*y**3 - 9*y**2 + 10*y. Let r(p) = -11*p**3 - 4*p**2 + 5*p. Let d(n) = 4*k(n) - 9*r(n). What is the second derivative of d(a) wrt a?\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 11956*n - 5*n**3 - 11526*n + 207*n**2.\nAnswer: -5*n*(n - 43)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(475)*-1 + -4)*1.\nAnswer: -4 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -3.33.\nAnswer: -3.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 304 - 2021020?\nAnswer: -2020312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 30909974 (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1667192374 is divided by 6353.\nAnswer: 6349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 20, -4263, 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*i**2 - 2*i**3 - 118*i**2 + 234 - i**4 + 39*i**2 + 0*i**4 + 37*i**2 to the form z + u*i**2 + v*i**3 + k*i + t*i**4 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fwwf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 9:21 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 0*t + 0*t - 11284*t**2 + 1115*t**2 + (3*t - 4*t + 3*t)*(-1 + 1 - 2*t).\nAnswer: -10173*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19765623 divided by -1?\nAnswer: -19765623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 343*h + 175. Let u(k) = 171*k + 88. Let z(w) = 2*c(w) - 5*u(w). Differentiate z(f) wrt f.\nAnswer: -169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 973.913+-2317501\nAnswer: -2316527.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/152 and -47\/16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -28\/23 (c) 0.1 (d) -1\/2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 2:11 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*l - f - f, 0 = 5*l + 5*f - 30. Suppose 4*p = 3*p + 5. Suppose p*y - 8 = y. Calculate the highest common divisor of y and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g*g**(-2\/13)))\/g)\/g**(5\/6))\/((g\/g**(3\/5))\/(g\/(g\/g**5))) assuming g is positive.\nAnswer: g**(1529\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42636975?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h - 2. Let a be (110\/15)\/11*-12. What is k(a)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**4 + 815*p**3 + 168079*p**2 + 823365*p + 656100 = 0.\nAnswer: -405, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 26 + 107*d)*(5 - 4 - 2)*(2*d**2 - 6*d**2 + 2*d**2).\nAnswer: 214*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-255)*(-3780)\/24.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4749 and 1809463980?\nAnswer: 4749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1. Let x(n) = -n**3 - 4*n**2 + n + 5. Calculate the remainder when x(-4) is divided by (3 + -4)*q*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*p - 2, -5*h + 4*p - 48 = -0*h. Let t = h + 5. Let n = -2 - t. Solve -o - 2 - n = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237.3*-3\nAnswer: -711.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -8. Let t = i - -42. Let g = -179\/5 + t. Which is the third biggest value? (a) g (b) 9\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/710 and -43\/485072.\nAnswer: 2425360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*h - 21404 + 31274 = -25651 - 13806 for h.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -33\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l - 2*o + 68, 150 = 5*l - 5*o. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(1\/19)*w)\/(w*w\/(w*w**(3\/14)))*w\/(w*w**(-6\/5))*w*w**(-2\/33)*w assuming w is positive.\nAnswer: w**(232663\/43890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 790335 and 3161340?\nAnswer: 3161340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1573))**2 + -3.\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.42 - -1.407. Round p to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4.6. Let y = c + -0.42. Let l = 1.02 + y. What is the third biggest value in 4, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - 868\/(-31) - 3328\/(-325)\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -42017, -1 in decreasing order.\nAnswer: 5, -1, -42017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t + 9. Let q be 3\/6 - (2 - (-3)\/6). Let b = -33 + 32.9. What is the nearest to b in 0.3, t, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-1 - (-2 + 10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - 1) + (-21 + -12 - -35 - 15).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -576a6ba (base 12) in base 6?\nAnswer: -1400220354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/((-240)\/(-25))*12\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*(sqrt(228) + sqrt(228)*-2 + sqrt(228)) + sqrt(228))\/((sqrt(84)*-3 - sqrt(84))\/sqrt(7) - sqrt(12)) + -2).\nAnswer: 2*sqrt(19)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 75. Let z = -2 + k. What is the greatest common divisor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 34, 40, 46?\n\"Answer: 6*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-15) + 4587688\/(-2040). What is m rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 626*q + 4 - 10 + q**2 - 625*q to h*q**2 + z*q + b and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5612782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 668 - 656. Let d = 1 - -3. What is the remainder when r is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1109 + -1114. Which is the closest to -3? (a) -0.5 (b) -13 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1157753, -1157756, -1157759?\n\"Answer: -3*s - 1157750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 9*p**4\/4 - 69693*p**3 + 1079405181*p**2\/2 - 359747523*p - 719541507\/4 = 0.\nAnswer: -1\/3, 1, 15487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -13. Suppose -x - 2 = 0, -q*a - 5*x + 14 = a. Suppose 12*p = a*p + 128. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 67 = 41. Let x be ((-2)\/t)\/(14\/(-56)). Let f = 120 + -119.9. What is the nearest to -2\/7 in f, x, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -51262.\nAnswer: 1\/25631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7887, 5, -2 in descending order.\nAnswer: 5, -2, -7887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/9 - 124*v\/3 - 1922 = 0.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420266 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/96 and -73\/1914?\nAnswer: 30624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2148*o + 61*o - 60*o + (20*o - 11*o + 4*o)*(2 + 4 - 5).\nAnswer: 2162*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2351, 2377, 2431, 2525, 2671?\nAnswer: 2881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 7) to base 12\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 3*n - 570. Suppose 20 = 2*z + 6. Suppose 12 + z = g. What is the greatest common divisor of n and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1071, -662, -3 in descending order.\nAnswer: 3, -3, -662, -1071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 906637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 1307976*p**2 + 8*p**4 + 0*p**4 - 1307975*p**2 - 15*p**3 + 2 as z*p**3 + h + d*p**2 + y*p + k*p**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n. Let w(q) = -q**3 + 7*q**2 + 19*q - 5. Let v be w(9). Suppose 564 = 5*c - 2*z, -260 = v*c + z - 719. Let t(i) = -i - c + 114. Give t(f(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*h + 4 = -1449 - 11 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1908?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 13 - (-31 + 45 - 30)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68895 divided by -1?\nAnswer: 68895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -71 - (-100 - (88 - 49))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b - 5505 = 44*b + 13444 - 6181 for b.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -101, -105, -113, -125, -141, -161?\n\"Answer: -2*l**2 + 2*l - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + (-2 + sqrt(539)*-1 - (sqrt(539)*1 + sqrt(539))*-3))*-3)**2.\nAnswer: -22680*sqrt(11) + 1092771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/139 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41778 - -41776. What is the closest to 0.1 in 113, -1.2, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 84015.82 centuries?\nAnswer: 8401582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (-1*sqrt(66)*4 - sqrt(66)))\/(sqrt(270)\/sqrt(5)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 153496231 and -2.\nAnswer: -306992462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -1, -0.2, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44925, 89854, 134773, 179676, 224557, 269410, 314229?\n\"Answer: -k**3 + k**2 + 44933*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 223*s**2 + 221*s - 220. What is v(-222)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.967682us?\nAnswer: 0.000005967682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464510 rounded to the nearest ten thousand?\nAnswer: 1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 488 and 9150?\nAnswer: 36600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**6\/30 - b**5\/10 - 19*b**4\/2 + b**3\/6 + 117*b**2 + 3*b. Find the second derivative of h(v) wrt v.\nAnswer: 24*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 19*w = 19*w - 30. Solve u - 5*r = -25, w*r = -5*u - 16 - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 63816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - ((-177025)\/(-15) + -1). Round g to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 346\/(-4) - -5 - -4. Let t = 128 - 221. Let p = t + g. Which is the closest to -0.2? (a) p (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -401.\nAnswer: -401, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/611, -512, 6?\nAnswer: -512","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 1. Let w be o(-1). Suppose -4*t - 16 = w, -s = 2*t + 2*t + 16. Let k = 2 - s. Solve k*l + 0*j = 2*j + 14, 0 = 5*l - 3*j - 29 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 9, 19, 33?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1233?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**3\/2 - 7*g. Let l(v) = -3*v. Determine l(j(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j*(j\/(j*j\/(j\/(j**0*j))))\/j)\/j)))**41\/(j**(1\/3)\/j)**(3\/4) assuming j is positive.\nAnswer: j**(-163\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 976*i**3 + 180*i - 179*i - 990*i**3.\nAnswer: -14*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x\/((x\/x**(3\/22))\/x))\/x*x*x))*x)\/x**(-13))\/(x\/(x\/x**(5\/9))*x*(x*x\/(x*x**(-23)))\/x*x) assuming x is positive.\nAnswer: x**(-1865\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3412646, 27301090, 92141156, 218408654, 426579394, 737129186, 1170533840?\nAnswer: 1747269166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83290 and 49974.\nAnswer: 249870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0 - 7 + 5*l**2 - 2 + l**3 - l + 8. Let d be b(-5). Suppose 5*h = d*h + 12. Solve -4*j - h = -0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnzvxcbvn. Give prob of sequence nxcb.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/3*5917\/(-207095)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(288) + -4*sqrt(288) + 3)**2 + ((sqrt(288) + 4)*1)**2)*-3 + -1.\nAnswer: -8722 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-225868)\/(-38) + -8*(-9)\/684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444\/(-888) + ((-162)\/(-92))\/3\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(-2))\/u))\/u**(-2\/77))\/(u**(-8\/7)*u*(u*u**(9\/2))\/u) assuming u is positive.\nAnswer: u**(-205\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 - 74.4. Let v = q + -44. What is the biggest value in 4\/7, v, -1, 1\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixx when three letters picked without replacement from {u: 2, q: 2, i: 3, x: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(24))\/sqrt(8)*-3*6.\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/16)\/(20\/(-62400)).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 9. Let b be r(-5). Let u be (-4)\/(-14) + (-52)\/84. Are u and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + -3*sqrt(1573) + 0)**2.\nAnswer: -28332 - 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 - c + 4. Let v be q(-4). Suppose 4*a - 336 = -v. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a - a**2 + 19*a + 2775 + 126 + 0*a**2.\nAnswer: -a**2 + a + 2901","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*s + 337*s + 160*s + 155*s to w + d*s and give d.\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0853 in -2\/3, -1, -55, 3\/2, 1.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -461 - -471.9. Let d = 10.90000516 - j. What is d rounded to seven dps?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/333 and 5\/27?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 843379 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110101 + 1010001001?\nAnswer: 101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + 1)*(9 + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194295 divided by 151.\nAnswer: -194295\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43070285 rounded to two decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2)**(-46))**50\/((p\/p**(-4))\/p**(-3)*p**(3\/4)\/p**(-6)) assuming p is positive.\nAnswer: p**(-18459\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 8*f = -10*f + 344, -2*f = x - 175. Let a(l) = 195*l. Let s(w) = -7*w. What is x*s(b) + 6*a(b)?\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -28*d**2. Let p(b) = -1 + 0*b + 1 - 5 + 10 - 3*b. Give w(p(f)).\nAnswer: -252*f**2 + 840*f - 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4594172 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 60 = -4*o. Suppose 0 = -5*q + 5*u + o + 21, -4*u = -q + 25. Suppose 3 = -3*z, -q*v + 3*v = z - 25. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 plus 0.530765629?\nAnswer: 0.563765629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127241 + 127380. Suppose 5*h + s = -s + 130, 5*s = 5*h - 95. Calculate the remainder when r is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124.89 + -125. Sort 1\/6, 0.3, l in decreasing order.\nAnswer: 0.3, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6*(21 + -9). What is the first derivative of -24*p**2 - f*p + 8*p + 10 - 2*p**2 wrt p?\nAnswer: -52*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.124 and 219?\nAnswer: 219.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 22, 15, 4, -11, -30?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(1\/(-24)*2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13576733 - 0?\nAnswer: -13576733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 33*z**4 - 3 - z**3 - 31*z**4)*(-1 - 2*z + 1).\nAnswer: -4*z**5 + 2*z**4 + 42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -81*s - 69. Let v(t) = -92*t - 70. What is 8*u(j) - 7*v(j)?\nAnswer: -4*j - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 13*y**4 + 4*y**3 + 4*y**2 - 7. Let h(q) = -27*q**4 - 9*q**3 - 9*q**2 + 14. Let b(d) = -4*h(d) - 9*m(d). Differentiate b(f) wrt f.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0 + 1\/4*m**5 - 22*m**2 + 0*m**4 + 1\/24*m**6 + 0*m + 0*m**3. Solve h(f) = 0 for f.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 176?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 2*p**3 - 36 - 35.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 + -1)*-10)\/(2\/4). Let r = 22 + p. Is r + 3 + -3 + 4763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 6. Let n be (-10)\/h - 4\/4. Let g be 54\/n + (-2)\/4. Solve -4*m = -3 - g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 4*j + 5*j)*(206 - 470*j - 203 - 65*j) to r*j + l*j**2 + s and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 40 = -3*z, -z - 126*u = 3*z - 141*u + 108 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x - 3. Let i be 972\/144 + x\/4 + -1. What is the fourth smallest value in -2\/3, 1\/3, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k = 15. Let s = -9 + 7. Let r = k - s. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214*r + 398*r + 625*r)*(0*r**3 - 4*r**3 + 3*r**3).\nAnswer: -1237*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -66*t - 2348. Give i(-46).\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 4*r - 3*r + 3*r + 0 + 0 + (2 + 0 - 3)*(-2*r - 4*r + 5*r))*(-r - 1 + 1).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1327102203 rounded to 4 dps?\nAnswer: 0.1327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 4*f. Suppose -4*i + f*i = -2, -4*i - 76 = -5*b. Let h = b + -5. Solve 0 = -o - 3*w + 15 - 1, 4*o - 3*w - h = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*l - 54 - 783, -3*b + 3*l = -627. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.02 + 1. Let w = a + -0.48. Put -1, 0.5, w in increasing order.\nAnswer: -1, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17058 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-15)\/20) + 46170\/(-11685)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 - 1864*g**4 - 14155*g**2.\nAnswer: 120*g**2 - 44736*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 11*q**2 - 7*q - 26. Let d be y(10). Solve -d*v - 16 = -4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/15)\/x**7*x*x**(-2\/7)*x**(-7\/5) assuming x is positive.\nAnswer: x**(-821\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 4888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 24\/(-5 - -11))*1. Sort 4, 2, d in increasing order.\nAnswer: d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + -2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*j**4 - 52\/11*j**2 + 54\/11 - 24\/11*j**3 + 24\/11*j = 0.\nAnswer: -9, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 + -0.2. Which is the closest to g? (a) -1\/8 (b) 5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3\/3 - 5*b**2 - 6*b - 3. Let c be j(-9). Suppose -c - 2 = -y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**5\/80 + 5*x**2 + 6. Solve p(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18255 + -18229. Let n(p) = -p**3 + 23*p**2 + 82*p - 104. Determine n(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(936))\/sqrt(2).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, g: 5}. Give prob of picking 2 g.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 1, -4*v - 30 = -3*s - 327. Let r(h) = h**2 - 4*h - 2. Let q be r(6). Is (-12)\/q*v\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.21366 rounded to 2 dps?\nAnswer: -20.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 9*j**3 + 4*j**3)*((-1 - 2 + 2)*(-5 + 0 + 4) - 2 + 0 - 3 - 6 + 8 + 6 + 4 + 1 - 4 + (-4 - 2 + 4)*(-1 - 4 + 3) + 1 + 3 - 5 + 0 + 2 - 4).\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 23 = 2*r, -4*r - r + 2 = t. Let v = t - 9. Suppose f - 4 = 11. Calculate the remainder when f is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -49*v**4\/24 - v**3\/6 - 3*v**2. Let s(m) = 24*m. Let b(w) = -6*j(w) - 13*s(w). What is the tens digit of b(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80094 = -23*j + 79680 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*b**3*p - 84*b**3 + 2*b**2*p**3 - b*p**2 wrt p?\nAnswer: -20*b**3 + 6*b**2*p**2 - 2*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -29, 121602, -0.4?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 582*y**2 + 752*y**2 + 3103*y**2 + 5044*y**2.\nAnswer: 8317*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1267 - 219193\/173. Let s = m + 364\/1557. Is s at most 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -56.1. Let j = -2.9112 + u. Round j to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.6336*-0.03.\nAnswer: -0.229008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) + -4*(-77)\/70\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*u**2 - u + 37*u**2 + 90*u**2 + 146*u**3 + 62*u**2 wrt u?\nAnswer: 876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958507?\nAnswer: 11, 79, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -6. Let q = -51 - -101. Calculate the common denominator of -2 + (k - q\/(-18)) and -97\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 576 - 4036\/7. Sort 2.21, 2\/5, q.\nAnswer: q, 2\/5, 2.21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 + 0.8. What is the nearest to n in 5, 2\/15, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11128*b*g + 117674*b + g**4 - 3*g**3 + 5 wrt g?\nAnswer: -11128*b + 4*g**3 - 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -138022 + 7*p**2 + 138022. Let x(n) = n**2. What is o(x(k))?\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 5436*f + 5438.\nAnswer: -2*(f - 2719)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d**3 + 9*d**2 - 56*d - 7. Let a(s) = 35*s**3 - 29*s**2 + 169*s + 23. Determine 4*a(i) + 13*b(i).\nAnswer: -16*i**3 + i**2 - 52*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 35 = -m - 5*x, 3*m + 4*x - 31 = 0. Let k = 15 - m. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54030.\nAnswer: 2, 3, 5, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15794286, 31588574, 47382862, 63177150?\n\"Answer: 15794288*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 87*d + 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(sqrt(117) - (sqrt(117) - (1*sqrt(117) + sqrt(117)))) + sqrt(117) + sqrt(117) + (sqrt(117) - sqrt(117)*-2)*4)\/(sqrt(18)\/(-2*sqrt(200)))*-3.\nAnswer: 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (728\/(-144) - -5)*4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-335*l + 7 + 12 - 18)*(2 - 1 - 2)*(-3*l**2 - l**2 + 2*l**2)*(4 + 9 + 11).\nAnswer: -16080*l**3 + 48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 132*u**2 + 7*u. Let k(p) = -4*p. Calculate k(i(h)).\nAnswer: -528*h**2 - 28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 165113 - -246?\nAnswer: 165361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 27356.118367 to the nearest integer.\nAnswer: 27356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-212 + 158 + 1534)*(-2*l + l - 1 + 0*l) as t + g*l and give t.\nAnswer: -1480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**3\/6 - 5*z**2 - 3*z - 15. Find the first derivative of u(c) wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*b**3 - 5355*b - 18*b**3 + 5356*b.\nAnswer: 70*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33331 - 212?\nAnswer: -100203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -0.5, 0.4.\nAnswer: -0.5, 0.4, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4435957 + 3?\nAnswer: 443595a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17981\/3366 + 12\/187. Find the common denominator of (-286)\/1008*(-1 + 3) and n.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1128*a**3 + 221*a**2 - a wrt a?\nAnswer: 6768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(238\/(-315))\/(-34).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25745.02um in centimeters?\nAnswer: 2.574502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39637.\nAnswer: 13, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449, 3572, 12025, 28472, 55577, 96004, 152417?\nAnswer: 227480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**6 + 20*y**4 - 1007*y**2.\nAnswer: -120*y**3 + 480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7 - 5*v - 126*v**2 + 26*v**2 + 34*v**2 - 2 + 32*v**2. Let h(f) = 17*f**2 + 3*f - 3. Calculate -5*h(b) - 3*l(b).\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/10, 7425, -3\/2 in increasing order.\nAnswer: -2, -3\/2, -1\/10, 7425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8*n - 63952 = 0. Suppose 9978 = -j - 4*a + 797, -5*a + n = -j. Let r = j - -1061. What is r rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 11 = 3*r + 5, 0 = -4*b + 4*r - 8. Suppose -5*d = 3*p - 3, b*d - 2*d = -2*p - 14. Suppose -n = -d*n. Put 4, -3, 2, n in ascending order.\nAnswer: -3, n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295409080.\nAnswer: 2, 5, 29, 254663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**19)*l**(-2\/23)*l assuming l is positive.\nAnswer: l**(458\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -223819.33513 and 0.5.\nAnswer: -223818.83513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 >= -963\/1858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, e: 4, k: 4, l: 2, u: 1}. What is prob of picking 1 e and 1 a?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*n + 2240, 3*w - 2*n - 1794 = -w. Suppose 2*g + w = 5293. Let a = g - 1060. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/2)\/((g*g*g*g**(3\/13))\/g) assuming g is positive.\nAnswer: g**(-97\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*g - 6 - 44, -5*k - 2*g + 36 = 0. Calculate the smallest common multiple of ((-28)\/(-10))\/(6\/15) and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*p + 27 = -4*x + 10*x - 47*p + 109*p, 4*x = -7*p + 113 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*d + 516 + 472 = 188 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkiwwhixkliiki. What is prob of sequence ixw?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -248490 and -4?\nAnswer: 993960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3 - 18943*o**2 - 75383296*o + 140736572340 = 0. What is o?\nAnswer: -10154, 1365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3127 + 13657. Is f a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/17)\/(l*((l*l**(1\/7)\/l)\/l)\/l)*(l**(-1\/3))**34)\/(l**(-4\/5)*l**(-4))**19 assuming l is positive.\nAnswer: l**(143882\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*l + 2416 = 426*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817*l**2 + 215*l**2 + 413*l**2 - 302*l**2.\nAnswer: 1143*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Suppose 11050 - 9930 = 28*y. Calculate the lowest common multiple of y and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**3 + 32*d**3 - 16*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 241*j**2 + 10*j - 5. Let w(m) = -5904*m**2 - 246*m + 123. Give 123*i(h) + 5*w(h).\nAnswer: 123*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/215, 21, -5 in descending order.\nAnswer: 21, 8\/215, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62002357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -20 (c) 96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 13*t**2 - 3*t - 228. Let v be g(-8). Calculate the greatest common factor of 7065 and v.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1201, -1414, -1703, -2104, -2653, -3386, -4339, -5548?\nAnswer: -7049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 409663\/18432 - 7\/2048. Which is greater: r or 21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.654 rounded to 2 decimal places?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 951.42 - 941. Round t to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y. Let n(s) = -27*s**2 + 2*s - 1. Let d(v) = 4*c(v) - n(v). Let q be d(-1). Suppose -k - q = -74. Calculate the highest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 6:12 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3*o = -6*o + 9*o - 5*o - 184, -4*p - 712 = 20*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((2 - -2) + 0*10\/120)\/(-10). What is the smallest value in 0.5, 0.2, -0.22, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/9 - 6\/(-27). Let i be -4 + (-2)\/(-2) - (-4402)\/(-142). What are the prime factors of (-6)\/(d - -1) - i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-20) + 1\/5. Suppose -2*u - 18 = -4*u + 2*z, z = o. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, 1 in ascending order.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.367\nAnswer: 0.1835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/36*-1*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 126*u + 1638. Calculate q(19).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3.72. Let p = 8.28 + n. Is p > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbwqybzw. Give prob of picking 1 b, 1 w, and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 3*k**3 - 4*k**2 + 6*k**3 - 4. Let x(o) = -o**2 + 6*o + 4. Let g be x(6). What is f(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 smaller than 21743\/632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r - 9 = g, -2*r + 5*g = -3. Let b = 8 + r. Let u be (494\/65 + -8)\/((-42)\/(-105)). Sort u, b, 9 in decreasing order.\nAnswer: 9, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, v: 4, e: 3}. Give prob of sequence cc.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.69 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**2\/17 - 34649236*g\/17 - 13859696\/17.\nAnswer: 2*(g - 3464924)*(5*g + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.40053 months to millennia.\nAnswer: 0.0002833775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 8*d**4\/9 + 1720*d**3\/9 + 91586*d**2\/9 - 10320*d + 2592 = 0?\nAnswer: -108, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 h when four letters picked without replacement from hrrhhhrhhhhrhhhhhh.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:40 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + ((-2)\/(-2) - 2). Let u be (-8)\/4 - g\/2. Let y = u + 7. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*r = 579*r + 135 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18860477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*n = 8*l + 9, -3*l + 4*n = 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j - 25*j**2 + 18*j**2)*(-4*j + 0*j + 7*j + (3 - 3 - 1)*(-j + 2*j - 3*j) - 2 - j + 2)*(j - 6*j + 3*j).\nAnswer: 56*j**4 - 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 7*v**3\/3 - 2*v**2 + 3*v - 395. Let l(f) = -6*f**2 + 4*f - 2. Give -5*l(c) - 4*m(c).\nAnswer: 2*c**2 - 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2\/7)\/q)*q)**(-2\/23)*q\/((q**0\/q)\/q)*q*q*q\/q**(1\/4)*(q*q*q**(-6\/7)*q*q**4)**(-1\/23) assuming q is positive.\nAnswer: q**(3347\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 90*j**3 + 385*j**2 - 300*j.\nAnswer: 5*j*(j - 12)*(j - 5)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 10*a + 6. Let m be g(6). Suppose y = -3*q + 11, 4*y = 2 + m. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784823 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9184227 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66208?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42059, 42019, 41909, 41693, 41335, 40799?\n\"Answer: -6*o**3 + o**2 - o + 42065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + 0.42. What is the second smallest value in 1\/2, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c. Let m be z(-2). Suppose 5 = f - m. Solve -5*r + f = -8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*(-264)\/(-8184).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 516.21 - 3.21. Let m = -499.04 + a. Let j = m + -14. What is the smallest value in j, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/312960 and -167\/220050?\nAnswer: 14083200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5 + 2 - 6 + 9 - 3. Let w(b) = -4*b - 13. Let f(o) = -o. Let m(h) = -5*f(h) + w(h). What is 2*m(c) - 9*u(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -735\/8 in 1, 1\/4, 5.821, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17036129?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -72*r**3 + 127*r**2 - 11*r - 7. Calculate c(2).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2263661 (base 9) to base 6.\nAnswer: -42114214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -17. Let d = -19 - f. Let n = d + -13. Which is the second biggest value? (a) -4 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v - 20. Let w(s) = 2*s**3 - 6*s**2 - 3*s. Let p be (-13)\/(-26) - (-9)\/(-2). Let q(i) = 3*i**3 - 7*i**2 - 4*i. Determine p*q(l) + v*w(l).\nAnswer: -2*l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75842.9 rounded to the nearest one thousand?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let r(d) = 35 - 8*d + 32 + 2*d**2 - 67. Calculate k(r(a)).\nAnswer: -2*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -115*b + 933 + 1022. Sort 4, b, 42, 0 in ascending order.\nAnswer: 0, 4, b, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1266.33 - -9.33. Let y = -1257.003105 - u. Round y to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/5, -21\/13, -2\/13 in ascending order.\nAnswer: -5, -21\/13, -3\/5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 90*s**2 - 29 + 93*s**2 - 42.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -46, 0, -4, 35.\nAnswer: -46, -4, 0, 15, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1854, -3692, -5530?\nAnswer: -7368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 1 + -106 + 89?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5\/34, 386, -0.1, 7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(-1)*o)\/o)**(1\/2)*((o\/(o**6\/o))\/o*o*o*o)\/o**(6\/5))\/(((o\/o**4)\/o*o*(o*(o**2\/o*o)\/o)\/o)\/(o*o**(-1\/2))**(-8)) assuming o is positive.\nAnswer: o**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 51256, 1 in increasing order.\nAnswer: -4, 1, 51256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3) + 10 + -5 + 9. Let s be 9*n\/(0 - 4). Let b = 28 - s. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3337, 13226, 29691, 52744, 82397, 118662, 161551?\n\"Answer: 2*i**3 + 3276*i**2 + 47*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 975359 is divided by 162456?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - a**3 - 2*a**2 + (a**2 - 75*a**2 - 20*a**2)*(-a - 2*a + a) + a + a**3 - a.\nAnswer: 188*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - (4*sqrt(2541) + sqrt(2541) - sqrt(21))) + sqrt(42)\/sqrt(2)*4)\/(sqrt(33)\/(sqrt(121)\/sqrt(11)) - -5*sqrt(3)*-4).\nAnswer: 49*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u = -268*u + 21134 + 2426 for u.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -11*r + 160. Give m(17).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 10*l - 13 - 15*l + 5*l in the form x + b*l + i*l**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 18045 = -10*c. Let s = c + -138373\/23. Which is greater: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28083333 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*j + 1 + 15, 5*j = -25. Solve -22 = 5*s - 4*d, -y*s = s + 2*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 871*l + 14. Let z(h) = 1738*h + 30. What is 13*u(k) - 6*z(k)?\nAnswer: 895*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140496 = 7*z + 9092. Let t = z + -31351. Find the common denominator of t\/(-882) - (-6)\/(-14) and 2\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -108*n. Let q(m) = -4*m**2 + 19. Give h(q(l)).\nAnswer: 432*l**2 - 2052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1776, -1824, -1924, -2100, -2376, -2776, -3324?\nAnswer: -4044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*o - 0*x - 33, 3*o + 2*x - 11 = 0. Suppose 0 = l - o*l. Suppose n - 3*n + 10 = 0. Sort 4, l, n in decreasing order.\nAnswer: n, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343257264 by -114419088.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2736) - (4*-1*sqrt(2736) + sqrt(2736))))**2*-1.\nAnswer: -43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 5*u + 2 + 77*u**2 - 511*u**2.\nAnswer: -434*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-9))\/(-2)*-36. Suppose b = 4*o, 5*o - 405 = -3*q + 4*q. What is q rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 c, 1 o, and 1 e when four letters picked without replacement from {g: 1, e: 12, c: 1, o: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1840420 is divided by 3842?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = k + 3*h, 26*k - 5 = 23*k - 5*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-63) + 164\/(-14). Let i = h + 15. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - (-1*sqrt(3264) + sqrt(51)))\/(-1*sqrt(108)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1632 and -69\/34.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 52 + 18 = 0. Let c = g - 7. Solve -5*s - c = 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122156974 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than 0.28?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411523 is divided by 205756.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 645 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728793887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -208510712 divided by -10412\nAnswer: 20026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 5*k**2 + 4*k + 6. Calculate p(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*z - 9. Let w(d) = -4*d + 38. Calculate the remainder when w(z) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 377.075 and 831495546?\nAnswer: 831495168.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**3 - 3 + 3 - 580*b + 581*b.\nAnswer: 15*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32024443 - 0?\nAnswer: -32024443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*a + 7*a + 18, -2*t - 5*a = 4. Factor 0*m**2 + 4\/9*m**t + 2\/9 - 2\/9*m**4 - 4\/9*m.\nAnswer: -2*(m - 1)**3*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*m, 4*g - 3*m - 262 - 1616 = 0. Does 20 divide 3\/(g\/(-160) - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3\/11 + 13758*m**2\/11 - 14552160*m\/11 - 33925204096\/11 = 0.\nAnswer: -1073, 3976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 32. Determine l(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-288))\/(207\/(-32016))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Let a = 0.183 + -0.583. What is the closest to g in 3\/8, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Suppose -u*m = m. Is (m - 147)*(-6)\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4645, -9352, -14061, -18772, -23485, -28200, -32917?\n\"Answer: -h**2 - 4704*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 77*o**2 + 694*o - 15285. Let r be v(-87). Suppose 5*u - 63 = 92. Is r > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 = 17. Let w(f) = -f**2 - 7*f + 4. Does 10 divide w(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 175.32 * 1.019.\nAnswer: 178.65108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002671.\nAnswer: 317, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**6\/120 - x**5\/5 + 5*x**4\/6 - 13*x**3\/6 - 2327*x**2. Determine g(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**4 - 5 - 2*y - 4*y**4 + 2*y - y**2 in the form f*y + r*y**4 + x + p*y**3 + s*y**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 15) to base 3.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.01 - -8. Let x = -0.09 - 0.1. Let g = x + f. What is the third smallest value in -5, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 30507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/(45\/(-40)*12\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1080 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1003 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.5813 + 0.1.\nAnswer: 30.6813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 389, 528, 661, 782, 885?\n\"Answer: -q**3 + 3*q**2 + 137*q + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/200 and 47\/100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/19)\/p)\/(p\/p**0)*((p\/p**(3\/8))\/p)**48 assuming p is positive.\nAnswer: p**(-383\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2.92. Let b be ((-4)\/3)\/((-50)\/(-3))*(8 + 2). What is the fourth biggest value in n, -0.5, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.9 * -0.211.\nAnswer: 1.4559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - w = 2*w - 47, -4*l + 121 = -3*w. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3736304 divided by -42458?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l + 12. Suppose 25 = 5*a + 2*f, 3*a - 15 = -2*f - 0*f. Is w(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -31 - 57. Let d = c - -24. Suppose 3*f + 2*n + 2 = 4, -4*f - 5 = -5*n. Solve d*y = -6, -5*r = -f*y - 4*y - 37 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(27\/26))\/(7\/42*(-72)\/(-108))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 2:15 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 i, and 1 z when four letters picked without replacement from qijijtizidiziz.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v**2 - 723*v - 9892. Give z(-31).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7677 to one decimal place.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2 + 125709*d + 3894096 = 0.\nAnswer: -41872, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.5, 0, -2, -21, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 32 + 12*h**3 + 32.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/((-2)\/(-5) - (-23)\/(-20)). What is the common denominator of (k\/16)\/(54\/375) and -22\/27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8747161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 16*c - 5. Let f be i(13). Let p be (-60)\/140 - f\/(-14). Solve -4*h + 3 + 2 = 3*v, 0 = -4*h + p*v + 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from frfrrffffrrref?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 10)*(-85*k**2 + 85*k**2 - 8*k**4 + (k + 2*k - k)*(0*k + 0*k - k**3)) + k**4 + k**4 - k**4.\nAnswer: -79*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 12:46 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -197 + 201. Solve 2*v + x*f + 2 = 0, 3*v - 5*f - 1 - 29 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, w: 1, e: 4, u: 6, c: 3}. What is prob of sequence xceu?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -345? (a) 2 (b) -2\/11 (c) 2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1841)\/14)\/(3\/(-4)). Let u = 177 - i. Which is the closest to 0? (a) 2 (b) u (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from 387.\nAnswer: 387.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 130999980\/(-50) + 3\/30*-4. Round i to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2111 - 165 = 0. Suppose 0 = -2*a + t + 80. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7842.9 - -0.3\nAnswer: 7843.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.9. Let s = -1435\/3 + 474. Let p = s - -149\/33. Sort 1, p, 3, o.\nAnswer: o, p, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -279, -0.22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 140 * -3047680\nAnswer: -426675200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**13\/(w*w\/(w**(1\/17)*w*w)*w))\/(w**8*w**8) assuming w is positive.\nAnswer: w**(-67\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25564548 divided by -6\nAnswer: -4260758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i - 45*i + 7*i + 0*i as g + d*i and give d.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.38182 years to months.\nAnswer: 844.58184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a530 + -3?\nAnswer: a528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*t + 5*t**3 + 5 + 19*t - 33 - 11 - 10 in the form c*t + m*t**3 + k + h*t**2 and give k.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*m + 5*z, -3*m + m + 5*z = -13. What is the closest to -1\/2 in 0.2, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 14*d + 2. Suppose 3*l + 4*w + 4 = -20, 0 = 4*l + 2*w + 22. Let s(n) = 14*n + 3. Let h(v) = l*t(v) + 5*s(v). Is h(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 9*b**2 + b**3 + 11*b**2 + 110193*b - 110190*b - 4*b**4 + 13*b**2 + 5*b**4 to r + x*b**4 + v*b + h*b**2 + j*b**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 1. Let d be n(4). Let 11*s**d - 20*s**3 + 6*s**3 + 3*s**5 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 13, n: 3}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) -1\/5 (c) -0.5 (d) -3 (e) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, s: 1, c: 5}. What is prob of sequence cv?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -210, -418, -626?\n\"Answer: -208*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310559 is divided by 13373.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2 + 338*k - 226. Give y(67).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 68179 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46741516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*-104*8\/(-48). Suppose -r*o + 24*o + 26 = 0. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*u + 160 = -2*u. Let s = -1.5 + -0.5. Which is the biggest value? (a) u (b) s (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 7, r: 1, o: 5}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 0, 5, 120013 in increasing order.\nAnswer: -2, 0, 1, 5, 120013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 - 24*z**2 - 212*z - 89. What is o(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30507 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 6018 - 1202 = 180*j for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49.3 - -53. Let h = -3.3 + t. What is the nearest to -1 in h, 2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 - -129. Let x(r) = -7*r - 130. Let q be x(w). Solve -6*l - q = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**8\/168 + y**5\/30 - 11*y**3\/3 - 30*y. Let n(r) be the second derivative of d(r). Find the second derivative of n(j) wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 7 + 1 = -2*x, 0 = 5*x - 3*t - 19. What is the lowest common multiple of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -213, 0, -16, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:46 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*f**2 - 71.\nAnswer: -90*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:31 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114242 - -5232?\nAnswer: 123514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, e: 3, l: 2, k: 1, z: 9}. What is prob of sequence lzz?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 872 + -865. Let y = -5 - -10. Solve b - m = -5*l + l, y*l = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/(-6))\/(8036\/6888)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 0.057, -16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/2590 and -5\/938?\nAnswer: 173530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3 (c) -0.3 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/3*(-3)\/2. Let a(i) = -3*i**2 + 5*i + 3. Let l(w) = -4*w**2 + 7*w + 4. Let k(s) = 7*a(s) - 5*l(s). Calculate k(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 110000010100000010?\nAnswer: -110000010100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0561 + -5.0561. Sort y, -116, 0.5 in decreasing order.\nAnswer: 0.5, y, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -14. Let v = 3 - -2. Let l = 3 - v. Do l and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1163, 2332, 3501, 4670?\nAnswer: 5839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from prhtpmmdmhrhtttdmmhm?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4 + 301588*w**3 - 22739433603*w**2 + 90953813808*w - 68214681792 = 0.\nAnswer: 1, 3, 150792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - l**3 + 0*l**3)*(-l - 2*l - 3*l) + (-26*l**2 + 572 - 572)*((-6 + 5 + 3)*(4 - 4 - l**2) - 1 - 2*l**2 + 1).\nAnswer: 92*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 4*r**2 + 4*r + 1. Let l be s(-1). Suppose l = 7*g - 6*g - 8. Solve -4*c = -g, -c + 2*c - 8 = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3262*t + 48 = -3270*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 11:19 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, n: 5, p: 1}. What is prob of picking 2 m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -0.5, 17, 2\/9 in decreasing order.\nAnswer: 17, 2\/9, -0.1, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3989*n - 3992*n - 47 = -8 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 3*t - 7. Let p be y(5). Suppose -2419 = -2*g - p*z, -5*g + 2048 = 2*z - 3994. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/2*r**4 - 11\/2*r**2 - 13\/2*r**3 + 3 + 13\/2*r = 0.\nAnswer: -1, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.702151cm to meters.\nAnswer: 0.03702151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 652327612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200201110 + 11?\nAnswer: -200201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u + 5*u + u - 8*u + 4*u + 27*u.\nAnswer: 43*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/60 - 2*c**2. Let j(y) be the third derivative of 0*y + 0*y**3 + y**2 + 1\/30*y**5 + 0*y**4 + 0. Determine w(j(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 4*t. Let b(l) = 0*l + 3*l - l - l. Suppose -5*a - 5*w + 60 = 0, -a + w = 4*a - 42. Suppose -7*i + 2 = -a*i. Give i*d(f) + 4*b(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 2851616?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - m = -113, -w + 229 = 3*w + 5*m. Suppose w = -2*b + 4*b. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*v + 2213, 642 = 2*u - 5*v - 838. Suppose 18*i + u = 8943. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 737, 10, 17, -5 in descending order.\nAnswer: 737, 17, 10, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87822?\nAnswer: 2, 3, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q + 2*q**2 + 1 + 0 - 7*q**2 - 3. Let m(g) = -14*g**2 - 20*g - 5. Determine 4*m(j) - 11*w(j).\nAnswer: -j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(-1*(sqrt(3) - sqrt(3)*-2 - sqrt(3))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 6*m**2 + 10*m + 5. Let w(g) = g**3 - 6*g**2 - 11*g - 5. Let b(a) = 3*w(a) + 2*z(a). Let f be b(-5). Let i = f - -1. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4045085 and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, s: 11}. What is prob of sequence oso?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9288 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 2*s + 3. Let u be z(0). Which is the closest to -5? (a) -1 (b) u (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1161982224 to the nearest integer?\nAnswer: 34088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 62 - 188 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 20*j**2 + 25*j + 251. Calculate l(14).\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111157 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 4:06 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 257.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80860.47 millimeters to nanometers.\nAnswer: 80860470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -15a20b?\nAnswer: -15a207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 1967480*n - 1967485.\nAnswer: 5*(n - 393497)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 17*c**3\/6 - 3*c**2\/2 - 17*c + 1. Let f = -8 + 5. Let j be q(f). What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (444\/(-1184))\/((-2)\/(-8))*((-25)\/(-5))\/(-600)?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-1)*(3 + (-185)\/60). Let n = -3 - -3. Let k = 82\/15 + -24\/5. Which is the nearest to 0? (a) v (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 not equal to -262\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.001 - 17677053\nAnswer: -17677052.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*((sqrt(171) + 0)**2 - sqrt(171)) + sqrt(171))*-6.\nAnswer: -324*sqrt(19) + 15390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 30. Solve -3 + 9 = -t*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**17\/w)\/(w\/w**(1\/3))*w**(1\/3)\/w**(-7\/3) assuming w is positive.\nAnswer: w**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 2556 = -10*d. Let l = d - -303. List the prime factors of l.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -5. Let p = 1 + v. Which is the second biggest value? (a) p (b) 1.7 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/20 and (-2)\/2 + (-77)\/(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -781 (base 16) in base 12?\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9 - 3 - 1 - 3 + 3*t + 2*t**2. Let x be y(-1). Let q be 4170\/(x + (-23)\/20). What is q rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 16*k**2 + 40*k - 263. What is the remainder when m(17) is divided by 237?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = 11*w - 110. Put 5, w, -41 in ascending order.\nAnswer: -41, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/6)\/(6\/(-2711889)) + -31 + 31 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 11 - 6 - (-1 - -7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*s**2*t**3 - 197*s**2*w - 2*s*t**3*w + 27*s*t**3 wrt w?\nAnswer: -197*s**2 - 2*s*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(4\/3)\/n*n**1)\/(n**1*n**(-1\/6)))**(-12))**(-2\/19) assuming n is positive.\nAnswer: n**(12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 198235391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 114 and 8842.\nAnswer: 8956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21949874500 rounded to the nearest 1000000?\nAnswer: -21950000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-12)\/9)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 - -143.92. What is n rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632 at most as big as 78861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/3 + 86*t**3\/3 - 868*t**2\/3 - 1496*t\/3 + 1936 = 0 for t.\nAnswer: -3, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*g - 6*g + 6*g + 8*g**3 to q + u*g**2 + d*g + k*g**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - c - 1. Let h(l) = 7*l**2 + 8*l - 77. Let t(u) = -2*g(u) + h(u). Factor t(o).\nAnswer: 5*(o - 3)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*z - 6 = -2*b + 49*z, b = 2*z + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2758.372 hours in minutes?\nAnswer: 165502.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26450 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6240594 to the nearest 10000.\nAnswer: -6240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 + -8) - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 64*t - 1994. Give s(17).\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9552*h**5 + 155*h**2*k**2 + 26*h*k**2 - 11956*h*k wrt h.\nAnswer: -191040*h**3 + 310*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 7 = n. Solve -2*g - r = 7, 4*g - 4*r + 12 + n = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/72)*v)\/((v**(-4\/7)*v)\/v))\/(v**3)**(-5) assuming v is positive.\nAnswer: v**(8345\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26576519 and 8278?\nAnswer: 4139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (169\/286)\/13*-8?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(153 + 3 + -7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -63, -94, -143, -216, -319, -458, -639?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44039cb - -10?\nAnswer: 4403a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1290 and 103\/2150?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Let d(v) = -1 - 6*v - 3*v - w + 1. Is d(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74882 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/64 of a week?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*z = 144*z + 3*w - 16, -2*z + 18 = 5*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -22, -7\/5, 2\/5.\nAnswer: -22, -2, -7\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/22, -1\/7, -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (516\/(-42) - (-2)\/7)\/(-2). Suppose -5*r + 0 = -10, -r - c = -4*a. Solve -a*x = -o - 15, 2*o = 3*o + x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1237 - 1224. Solve w*t - 38 = 27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8324244.18 nanoseconds in weeks?\nAnswer: 0.00000001376363125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.0343 + -0.0343. Let y be (-24)\/(-110) - (-4)\/(-10). Which is the third smallest value? (a) -4 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6285300*z**2 - 11795120*z?\nAnswer: -12570600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933 a factor of 259989620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - n - 8 = 0, 2*a + 2 = -5*n + 13. Let k be 13 - (-13)\/(-52)*44. Solve j - 13 = 2*x, -a*j + k*x + 33 = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 24. Let k be y(-12). Solve -b = -5*v + 15, k = -3*b + 2*v + 2*v - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/30 - 9*y**2. Let w(q) be the first derivative of -11 + 7 + q**3 + 13 + 8. Determine t(w(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5*k + 1 - 2*k**4 - 3 + 2*k**3 + 0 as v*k**4 + b + p*k + r*k**2 + m*k**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6.19891 (b) 4 (c) -4 (d) -1\/4 (e) 0.14 (f) -2\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2252, 17906, 60370, 143042, 279320, 482602, 766286?\nAnswer: 1143770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)*j*j)**41 assuming j is positive.\nAnswer: j**(-369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(7)*-3 + sqrt(7) - sqrt(35)\/(sqrt(15)\/sqrt(3))) + -1 + 4 - (-3*(sqrt(56)*3 - sqrt(56)))\/((sqrt(8) + sqrt(64)\/sqrt(8))*-3))**2.\nAnswer: 30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 272240 (base 11) to base 8\nAnswer: 1503021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 81 + 2753 = 4*c, 3*h - 1690 = -5*c. Let k = h + -558. Solve -2*z - k = -r, r - z - 3 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (288\/(-56))\/((-2)\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-776)\/1455)\/(12\/(-10)*2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1400 = -26*c + 1070. Round c to 0 dps.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 - 2f309?\nAnswer: -2f32e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -41*c**6\/60 - 3*c**5\/2 - 6*c**2 + 4. What is the third derivative of d(f) wrt f?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g - 9*g - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n*n\/n**(-6))\/n))*n*n*(n**(2\/7)*n*n*n)\/n)**(1\/22)*(n**(1\/2)*n*n\/n**5)**(2\/43) assuming n is positive.\nAnswer: n**(2627\/6622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 10 (b) -0.3 (c) 1 (d) 0.83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*p + 25 + 19, -76 = -3*p + 2*q. What is the least common multiple of p and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -375, -322, -225, -84, 101, 330, 603?\n\"Answer: 22*q**2 - 13*q - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*g + 16, -2*g = -3*z - 2*z + 29. Suppose -5*y - 3*d = 14, y = z*d - 7*d. Put 5, 0, y in decreasing order.\nAnswer: 5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -15*i + 143*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.357 + 0.067. Round h to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:51 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + u - u + (-2 + 2 - 2)*(-5*u + 4*u - u) + 2*u + 0*u - u + 0*u + 3*u - 4*u - 6*u - 2*u + 2*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/10 - 1)*5. Let v = -178771 + 178770.9. Put v, 0.03, z in descending order.\nAnswer: 0.03, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:14 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 18. Let h be m(-9). Let x = 61\/3 + -20. Which is the closest to x? (a) 0.1 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4533 = -b, 2175 - 378 = 2*x - 5*b. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = -5*q + 6, -4*l = -4*q + 12. Let y be -1*0\/(-1 + 0). Let j = -4 - -14. Solve y = 5*h - q*h + j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(1*1\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*q*s*v**2 - 5*h**2*q*v - h**2*s + 2*h*s*v**2 + h*s*v - 2*q*s*v**2 - q*v wrt h.\nAnswer: 2*q*s*v**2 - 10*q*v - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 7*o**2 + 9*o - 8. Let b be s(8). Let d = -1 - b. Let n be ((-3)\/3)\/(d + 2). Is n <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - 1121110?\nAnswer: -1120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -23*o**2 - 8*o + 2. Let k be g(3). Let l = k + 253. Is 22 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmommmmomm. What is prob of picking 2 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4462 = 2775 - 787. What is the remainder when m is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63880 is divided by 21293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*b = -3*z + 141, -49 = -z - b. Let v = -22 - -28. Calculate the highest common factor of v and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -4*d + 148 - 1\/3*d**3 + 9\/2*d**2. Let y(n) = n**2 - 4*n + 2. Calculate -2*i(g) - 5*y(g).\nAnswer: -3*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*i + 8 = 0, 0*p + 4*p + i - 18 = 0. Suppose p*t + t + 2150000 = 0. What is t rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 3*h, h = -1 - 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145623, 4\/2051, 5.\nAnswer: -145623, 4\/2051, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1856 and 47966?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 113. Let l be (-51540004)\/(-6) + 2\/x. What is l rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 164034606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 24*y**3 + 23*y**2 - 31*y + 32. Let g(v) = 13*v**3 + 12*v**2 - 16*v + 19. Let c(w) = 11*g(w) - 6*k(w). Let l = 40 + -47. Determine c(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 974*53\/(-24360). Let h = 823124401\/12180 + -67580. Let x = v + h. Find the common denominator of x and -57\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-28)\/(i\/(i\/(i*i\/(i*i\/i**(18\/7))))) assuming i is positive.\nAnswer: i**(-214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.59 + -1.01. Let x = -0.4 + f. Let p = 11.1 + x. Which is the nearest to p? (a) 0.2 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*f - 6 = y, -3*y + 5*f + 3 = 0. Let b(w) be the first derivative of 5*w - 2 - w**2 + w**3 + 1\/4*w**4. Calculate b(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/11 - 256034*i**2 - 14081920*i\/11.\nAnswer: 2*i*(i - 1408192)*(i + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -4*f**5\/15 + 11*f**4\/24 + 16*f**2. What is the second derivative of z(r) wrt r?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 7. Let k = -9 + 3. Let x(u) = 1. Let m(f) = k*x(f) + n(f). Is m(10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 0 + 7)*(-53*m - 37*m - 16*m - 64*m - 177*m) to s*m + v and give s.\nAnswer: 2082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 4:31 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2412967.2999952 + 2412970. Let a = -1.1 - 1.6. Let q = a + v. Round q to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/9 + 3\/(-9). Suppose -5*r = -4*p + 20, -5*p + 20 = -p + i*r. Suppose -2*y = x - 0*x - 11, -3*y = x - 15. Solve 0 = 5*j - n - 23, -y*n + p = -3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Suppose -g = -3*d + 7. Suppose -z + 0 = -d. What is the greatest common divisor of z and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 115 - (-30)\/20*10. Solve -8*u - h + 154 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2831 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*y - 87*y - 2*k = -2, y - 305 = -3*y + 91*k for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2148 + 6445\/3. Put 0.6, 0.59, w in decreasing order.\nAnswer: 0.6, 0.59, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*m + 17 = 3*m, -3*m = -5*y + 5. Let h(g) = g**3 - 3*g**2 - 2*g + 1. List the prime factors of h(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.234 to zero dps.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 626.8555l?\nAnswer: 626855.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -31. Suppose -10 = -9*c + 8. Suppose 0 = -c*r + 4*r - o. Calculate the highest common factor of r and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/817, -2\/7, 4, -3\/7 in descending order.\nAnswer: 4, 3\/817, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/(-1540)*-16)\/((-5)\/((-245)\/434))\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -250530.982 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -5 - (-2)\/3*3. Is (3 - (v + -333)) + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:54 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 120 = -3*i - 363, -5*b - 3*i = 399. Let m = 5 - b. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -39*p + 24. Let u be d(-4). Let m = 322 - u. List the prime factors of m.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 13 = -2*c, 4*c - 7 = -2*y + y. Let d be ((-9)\/(-6))\/((-10)\/20)*-1. Solve -j - c = -d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b407a0 (base 12) to base 2.\nAnswer: 10110001001110001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 4:28 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 443659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 12, 9*r - 11*r + i = -387. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(76) - -3*(2*sqrt(76) + sqrt(76))))\/((1*sqrt(288))\/sqrt(2)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11240 (base 5) in base 11?\nAnswer: -686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2462, 9931, 22380, 39809, 62218, 89607, 121976?\n\"Answer: 2490*m**2 - m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159753793.\nAnswer: 159753793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -109, -105, -99, -91?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 7:51 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 3*g**2 + 7*g + 9. Let b be d(-5). Is (-3)\/(-12)*2*b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 2. Suppose 2*w - 7 = 5*i + 42, 0 = -2*i - 3*w - 31. What is r(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -427 - -430. Let a be (3 - 2)\/((-1)\/(-182)). Suppose 5*q + a = 4*o, o + 1 - 55 = -s*q. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1103 (base 9) to base 8.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 1:14 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*i + i - 149, 0 = -2*i - 3*o + 100. Let f = -162 + 118. Calculate the remainder when i is divided by (7 - (-1)\/(-1)) + f\/(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 21. Let v(r) be the third derivative of r**5\/60 + r**4\/8 - 5*r**3\/6 + r**2. What is the remainder when 37 is divided by v(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 2. Let m be y(-3). Suppose 3*b = 5*h + 145, 5*h - 122 = -2*b + 8. Calculate the remainder when b is divided by m + (-48)\/(-3) - -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -54. Which is the third smallest value? (a) 4 (b) 1\/5 (c) -4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 7 + -11 + 10 + (-32 - -19)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12424 and -0.04.\nAnswer: 12423.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 0*b + 0*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110000 - -100101010?\nAnswer: -101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -3.5 (c) 1\/3 (d) -58 (e) 5\/6 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 121.\nAnswer: 6\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 s when three letters picked without replacement from woossdssvwwovo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 1343*c**2 - 439280*c + 7860800.\nAnswer: -(c - 17)*(c + 680)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 + -117. Suppose -t*o + 0*o = -245. Calculate the least common multiple of 30 and o.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**5 + 24*j**4 - 76*j**3 - 80*j**2 + 144*j + 128 = 0.\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102511 - 1?\nAnswer: 102510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 281 + -275. Calculate the remainder when 38 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-4))\/((-8)\/(-10)) and 0\/(4\/(-2)) - 276\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-9)*2*(-39)\/26?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10165, -9862, -9523, -9130, -8665, -8110, -7447, -6658?\n\"Answer: 3*v**3 + 282*v - 10450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179 (base 12) to base 6.\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((((z**(-1\/5)\/z)\/z)\/z*z)\/z))*z*z\/z**(-1\/6)*z)\/(z**(-1\/5)\/(z*z**(1\/6)\/z))*((((z**(2\/3)\/z)\/z)\/z)**(-22))**(-24) assuming z is positive.\nAnswer: z**(-3695\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147 + 150.94. Let r = 0.06 + i. What is the second smallest value in 1\/5, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2 + x**2)*(-3 + 2 + 2 + (4 + 1 - 4)*(-3 + 4 + 0))*(-130 + 283 - 11) as s*x + y + v*x**2 and give y.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 14*n - 44. Determine q(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -36, -33?\n\"Answer: 3*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*n - 226 = 4*v, 3*v = -2*n - 173. Let c = v + 297\/5. Put -1, 2, c in increasing order.\nAnswer: -1, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 97735*s\/2 - 6685463.\nAnswer: -(s - 97598)*(s - 137)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*m**3 + 121*m**3 - 388*m**3 + 0*m + 129*m**3 + 0*m.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3 + 10*j**2 + 5*j - 10 = 0. Calculate j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489 - 492 - (5 + (1 - (1 + -2))) - 15.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -471253 - -0.04?\nAnswer: -471252.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -421 + 419.092. Let q = f - 0.092. What is the smallest value in 4, q, -1, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 33. Let k be (-90)\/(-21) - 2\/7 - b. Suppose 2*w = -w + 4*x + 207, -2*x - k = 0. What are the prime factors of w?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/5)*c)\/(c*c\/(c**(2\/69)*c*c)) assuming c is positive.\nAnswer: c**(562\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691411?\nAnswer: 7, 98773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/4 of a millennium?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f + 5*d = 730, 0 = -2*d - 2. Let t be 7*3\/f + 2. Solve -t*w**2 - 12\/7*w**3 - 6\/7*w - 3\/7*w**4 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 227366, 454927, 682504, 910103, 1137730?\n\"Answer: c**3 + 2*c**2 + 227548*c - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 4*q - 6. Let b(w) = -6*w**2 - 5*w + 8. Let f be b(-5). Let i be (-26)\/f - (-32)\/18. Suppose 2*a - 16 = -i*a. Calculate d(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 4*d = -96 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/1729 + 1709\/8645. Which is the fourth smallest value? (a) 1 (b) g (c) -2\/5 (d) -5\/4 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(2\/13)*m*m*m\/(m**(15\/4)\/m) assuming m is positive.\nAnswer: m**(125\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3929017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -124151 (base 6) in base 4?\nAnswer: -2300203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6731 is divided by 3258.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1790 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -1743.787?\nAnswer: 1746.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*s - 44, s - 40 = -3*s - 3*t. Suppose 0 = 2*h - s - 35. Calculate the greatest common divisor of 231 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4 - 723*a**3 + 2176*a**2 - 1452*a = 0. Calculate a.\nAnswer: -726, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 25*g - 47. Let o be q(-10). Suppose o*f = -11*f + 3640. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - -31a?\nAnswer: 32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10*j - 770 = 0. Suppose 39*s + j = 40*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Let x = a - -4. Solve 2*t - t + x = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihi when three letters picked without replacement from {i: 8, h: 3}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 38*z**2 - 39*z - 1150. Let h be n(36). Solve -65 = -9*s - h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.24988 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 29 = -u + 2*u, -4*j - 16 = 2*u. Let h = -10 - u. Differentiate -6*a**3 + 4*a**3 + a**3 + 6*a**3 + h wrt a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3 + 60*j**2 - 49*j**2 - 3 + 8*j. Let x(u) = 23*u**2 + 16*u - 13. Let m(i) = 13*t(i) - 6*x(i). Find the second derivative of m(b) wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 63*s**2 + 180*s - 117. Determine o(60).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (-4)\/(1 - -1). Suppose -b + 2*k = 3*k + z, 5*b + 20 = 2*k. What is the second smallest value in 2\/5, b, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*d**5*r**2 - 2838*d**5 - 39*d*r**2 - 8*d*r + 11*r**2 + 6 wrt d.\nAnswer: -360*d**3*r**2 - 56760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 39*l = -40*l, -5*c = -4*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**3 + 169*n**2 - 36*n - 57. Determine g(-34).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 19. Let k = o - 8. Solve -3*d - 3*j + 7 = d, 4*d + 2*j = k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t + 2. Let v be x(-4). Suppose -4*d = -18 - v. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/7)\/(w**7\/w*w))\/((w\/(w*w**8)*w)\/w**0) assuming w is positive.\nAnswer: w**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 1805.4, -4, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 32462 + 4814. Is (-2)\/11 - 0 - b\/(-176) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124 - 122. Suppose -2*a + 206 = -5*r, -p*a - r + 206 = -0*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(99)\/sqrt(9) + -3 - (3 + (sqrt(99)\/sqrt(9) - sqrt(11))))**2.\nAnswer: -12*sqrt(11) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16567, 34554, 53957, 74770, 96987?\n\"Answer: -a**3 + 714*a**2 + 15852*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6)*-9)\/(36\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 29 = -3*o - 3, 3*j + o = -58. Let n = -12 - j. Let h(t) = 2*t**2 - 7*t + 8. What is the tens digit of h(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*z + 49*z + 33*z)*(-122 + 64 - 106*z**4 - 2*z**2 + 60).\nAnswer: -10918*z**5 - 206*z**3 + 206*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-45)\/180)\/(2\/(-2147512)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*b**3 - 10*b**2 - 5*b**2 + 7*b**2 - 2 + 4*b**4 + 8*b - 6*b**4 in the form u*b**2 + i*b**3 + f*b**4 + w + m*b and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3}. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 + 4*i**2 - 3*i + 1. Let t be d(2). Let k(b) = -2*b + 35. Let v(p) = p - 17. Let l(a) = t*v(a) - 6*k(a). What are the prime factors of l(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48.2 - 9.2. Let a = 39.000013 - o. What is a rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -12. Suppose -3 = 3*x, -4*p = a*x - 7*x - 12. Solve -4 + p = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7255104256 to the power of 1\/2, to the nearest integer?\nAnswer: 85177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14349261 to the nearest integer?\nAnswer: 3788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4933 - 1372. Which is smaller: 3560 or z?\nAnswer: 3560","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/((21\/(-7))\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 824390?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(130) - (sqrt(130)*-2 - sqrt(130)))\/sqrt(10))**2 + (sqrt(1300)*-2)**2).\nAnswer: -16224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177443673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15011 + 1842 + 5978 - 2*s**2 - s**2.\nAnswer: -3*s**2 + 22831","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l**3 - 7*l**2 + 7*l - 2. Let s be c(1). Let n = -16 - -20. Suppose 0 = -2*h + 6 - n. Solve s*j - 22 = i, -7 + h = -i - 2*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12066 by 577.\nAnswer: -12066\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 70.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-39))**(7\/6)*(m**0)**(4\/11)*m**(-2\/25)*m*m**(2\/9)*m assuming m is positive.\nAnswer: m**(-19511\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121646 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*y + 254 = -956 - 1006 + 200 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -715 - -748. Let m(b) = b + 10. Let t be m(-7). Sort c, -3, t.\nAnswer: -3, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18017 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1)*t)\/t*t*t**(-1\/3)\/t)\/((t**(-1\/2)\/t)\/t)**26)\/((t*(t\/t**(2\/3))\/t*t)\/t**(-3))**(-2\/47) assuming t is positive.\nAnswer: t**(3001\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 - 18*f**4 - 2*f**2 + 0*f**3 - 174*f + 172*f to z*f**3 + p*f**2 + l*f + o*f**4 + x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750187781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2. Let r(n) be the third derivative of -65*n**4\/24 - 129*n**2 - 2*n. What is b(r(t))?\nAnswer: 8450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from krrrrkjrkkrkrrj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1\/16*12 - (-353)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358208 is divided by 358202.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is -100110100111111101100010 (base 2) in base 10?\nAnswer: -10125154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -885 + 292 + 23255*n**2 + 303 + 290 as l*n + u + v*n**2 and give v.\nAnswer: 23255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15580 + 41628. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16660517, -16660511, -16660503, -16660493?\n\"Answer: l**2 + 3*l - 16660521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 0. Let x = 2 + a. Suppose 5 - x = 2*w. Solve -5*g + 3*f = 35, 4*f - 7 = -w*g + 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + b + 2. Let p be w(-2). Suppose -3112 = -4*o - 796. Suppose -9*k + o = -177. What is the greatest common factor of p and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, s: 5, m: 3, x: 1}. Give prob of sequence cc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 747\/4 (b) 2\/3 (c) -2 (d) 6 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -1 - (1 - -1) - (349 + -356).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t**3 + 315*t**2\/2 + 273*t\/2 + 27 = 0. What is t?\nAnswer: -2, -1, -9\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -325, -1165, -2005, -2845, -3685?\n\"Answer: -840*j + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + h - 2. Suppose c - 4*i = -5, 6*c - i = c + 13. Let t(u) = -5*u**2 - 4*u + u**2 + 5*u**2 + 3*u + 1. Give c*t(n) + y(n).\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 2*f**3\/3 + f**2\/2 - f + 1. Let j = 30 - 29. Let q be j\/(-24)*-4*6. Determine i(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*u - 524*u + 280*u + u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 8, -0.042 in increasing order.\nAnswer: -57, -0.042, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -23*n**4 + 5*n**3 - 5*n + 22. Let v(b) = -34*b**4 + 7*b**3 - 7*b + 33. Let o(k) = 7*p(k) - 5*v(k). Differentiate o(a) wrt a.\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 48 = -7*k. Solve -3*n = -3*q, 2*n + 3*q + k = -q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3 (b) -1 (c) 2165869 (d) -3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a**3\/3 + 2978*a**2\/9 - 1244*a\/3 + 784\/9 = 0. What is a?\nAnswer: 4\/15, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8343, -8340, -8337, -8334, -8331, -8328?\n\"Answer: 3*t - 8346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2814.6, 77, 6 in decreasing order.\nAnswer: 2814.6, 77, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 236829.618 rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -1 - (12 + -15 - (-1 + -6))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.389017 - 16.39. Round p to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - ((-102)\/30 - (-4)\/10). What is the greatest common divisor of 10 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -16*l + 13*l, 4*w - 3*l = 7. Suppose -3*v + 30 = -3*z, -z + 5 = w. Calculate the least common multiple of v and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -25*n**4 - 1215*n**3 - 12510*n**2 + 55900*n - 20280 = 0.\nAnswer: -26, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - z = -187, -409*z - 208 = -4*x - 413*z. Solve -12*a + 198 = -x*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2. Let k(q) = -1460303*q. What is f(k(c))?\nAnswer: 6397454555427*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4*a**3 + a**3 - 12*a**2 + 5*a**3 + 5*a - a**3 - 2*a**2 to the form d + n*a**2 + s*a**3 + t*a and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561353343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 z, and 1 c when four letters picked without replacement from aazzaacaaaaacacczaaz.\nAnswer: 352\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 25*h**3 - 3*h + 0*h - 54*h**2 + 46*h**2.\nAnswer: -25*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 267, -6\/11, -193 in ascending order.\nAnswer: -193, -6\/11, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 + 208372*q\/5 + 416748\/5.\nAnswer: -(q - 208374)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 5:41 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(2*b + 4*b - 3947 - 5*b + 4397).\nAnswer: -2*b - 900","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51018*u + 2 = -3*s - 51022*u, -4*s - 40 = -4*u for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41731061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7028232 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 10624*s**3 + 10489*s**3 - 6*s**2 + 7*s**2.\nAnswer: -135*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 542.8 and 0.32?\nAnswer: 173.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 76623 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 9*i + 4 = 0. Let f(o) = o**2 + 5*o + 6. Let d be f(-4). Suppose -d*r + 2 + 4 = 0. Sort 4, r, i in ascending order.\nAnswer: i, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*2*sqrt(128) + -5 + (-2*sqrt(128)*-5 + sqrt(128) - sqrt(128)) + sqrt(128) + -2)**2.\nAnswer: -336*sqrt(2) + 1203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p - 35. Let j(m) = 2*m - 19. Let w(f) = -6*c(f) + 11*j(f). Let v(r) = -2*r. Determine v(w(x)).\nAnswer: 16*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17625.962 - -17595. What is z rounded to 1 decimal place?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -7. Let i be (3\/(-6))\/(2\/f). Calculate the remainder when 21 is divided by 12 + i + -2 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0663 and 12894.\nAnswer: -854.8722","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (5 - (4 + -11 - (-3 + -4 + -77)))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 348368435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2807215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -1 - 1) + (-28 - (7 - 35))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.32664 to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17368 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10101001100011000 (base 2) to base 10\nAnswer: -86808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 52*r - 152 + 7 - 39*r. Let o be v(19). Calculate the greatest common divisor of o and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38240 and 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ykyekeyekyykyekyk?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 - 48*w**3 - 120*w**2 + 2496*w + 5040 = 0. Calculate w.\nAnswer: -6, -2, 10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 13*r**2 - 12*r - 81. Let s be o(-5). What is the greatest common factor of s and 646?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1097.752 meters to nanometers.\nAnswer: 1097752000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**0))\/(m*m**(-1\/6)))\/(m\/m**(-2\/9)*m**(-1)\/m) assuming m is positive.\nAnswer: m**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-136)\/100 + 3)\/((-216)\/(-30)). Let f = j - 9\/20. Sort f, -1\/2, 2 in decreasing order.\nAnswer: 2, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/652775 and -67\/6266640.\nAnswer: 31333200","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -515, 14\/9 in decreasing order.\nAnswer: 14\/9, 0, -0.3, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 95, 377, 849, 1511, 2363, 3405?\n\"Answer: 95*j**2 - 3*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = i - 5*a, -5*i = -2*a + 267 - 247 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 80073?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -4. Is v != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) -1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 34511089\nAnswer: 345110.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*i + 216*i - 29*i + 87*i + 175*i.\nAnswer: 372*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-2)\/12*-6. Let q(p) = -2*p**3 - 4*p**2 - 4*p - 4. Does 26 divide q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b\/(b*b**(5\/7)\/b))\/b)*b)\/b)\/(b*b**(16\/3))*((b*b\/(b*b*(b**27*b)\/b*b*b))\/b)**(5\/9))**(-1\/49) assuming b is positive.\nAnswer: b**(149\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*w = -14, -5*w + 8 - 3 = 0. Let z be 2*(-1 - q) - 3. Solve s = -z, 3*r + 13 = 3*s + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 9. Sort 3, g, -5\/6 in decreasing order.\nAnswer: 3, -5\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 + 164 = -103*m. Solve 2*c = 2*x, 0 = 4*x + 3*c - m*c - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9651013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 15*t + 48 + 104 = -3*t, -32 = -2*h + 5*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -30*w**2. Let k(b) be the second derivative of 2*b**3\/3 - 5172*b. What is i(k(p))?\nAnswer: -480*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 - 541\/6. Let b = 5 + -13. Let i = b + 6. What is the closest to 2\/3 in i, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - -0.5.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 279 + -198. Let x = l - 80.6. Suppose q = 4*k + 2*q + 4, -2*k = -5*q - 20. Is x <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9306831?\nAnswer: 3, 61, 50857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**3 + 27*d**2 - 2. Let r(i) = 85*i**3 + 460*i**2 - 35. Let a(o) = -2*r(o) + 35*u(o). Determine v so that a(v) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 1416*s - 47360.\nAnswer: 2*(s - 32)*(s + 740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4724074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1081252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.2 (c) 1\/8 (d) 0 (e) -2\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2. Let k be (-3)\/(30\/(-176)) + (-2)\/(-5). Let n(w) = -k*w + 7*w - 2*w**2 + 11*w. Determine n(d(z)).\nAnswer: -98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5256234355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63227227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/80 and 59\/100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0024 - 0.0312. Let g = -0.0335672 - q. What is g rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*sqrt(171) + -4.\nAnswer: -3*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309.7 rounded to the nearest 10?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 873595 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = -6. Let j be (-4)\/(z\/((-6)\/(-4))). Let i(r) = r**2 + 4*r. Let y be i(-4). Solve y*t + j = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:34 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3210420 - -1?\nAnswer: -3210414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, n: 2}. Give prob of sequence nn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3 - z**3 + 0*z + 3*z**2 - 14*z**2 + 10*z**2 + 2*z. Suppose a + 4*a = 2*c - 23, -2*a + 3*c = 18. Give y(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 7. Let w = -33 + 150. Let r = 116.8 - w. Sort 2\/41, r, i, 5 in descending order.\nAnswer: 5, i, 2\/41, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 378 and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48374 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.28 + 0.58. Which is the nearest to l? (a) 1\/6 (b) -3\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + 3*t**3 - t**3 + (-3*t + t + 0*t)*(t**2 + 1 - 1) + 6 + 62*t**2 - 3 - 10*t**3 - 65*t**2.\nAnswer: -11*t**3 - 3*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37827396137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243 + 536. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from {m: 7, u: 2, n: 2, p: 2, a: 2, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2993367 + -6573367. What is b rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3223102312 - 2?\nAnswer: -3223102320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 3*k**2 + 37*k - 155. Give f(0).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 - 3 = 4*k - 4*s, 2*k + 4*s - 64 = 0. Is 23 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1254, 4772, 10634, 18840, 29390, 42284, 57522?\nAnswer: 75104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523 divided by -20.\nAnswer: 523\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6877336 divided by -3438668\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from bffddlfdbd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 7.\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - d + 5. Let g(q) = -q**2 - 1. Determine 4*g(p) + i(p).\nAnswer: -2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16 = -0*q. Suppose -77 + 21 = q*r. Let s = r + 36. Calculate the highest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - a + 10 = -11, -37 = -3*k - 5*a. Let p be (-1664)\/(-91) - k\/14. Let h = p - 14. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(4) + (sqrt(9)\/sqrt(3))**2*-2.\nAnswer: -6 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100130202300 (base 4) to base 13.\nAnswer: b7c420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h - 0. Suppose 0 = -7*q - 13 + 13. Let p be 3\/(0 - 1\/(-3)). Solve -h*j = 4*w, -j + 4*w - 3*w - p = q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -608, -606, -602, -596, -588, -578, -566?\n\"Answer: l**2 - l - 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -3\/265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248902058 and 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 64*f - 2792. Calculate a(40).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009957 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 6*k - 1201 + 1201.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2335, 9685, 22009, 39307, 61579, 88825, 121045?\n\"Answer: 2487*t**2 - 111*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 3*c**3 + c**3)*(-6*c**2 - 3*c + c**2 - 3*c**2).\nAnswer: -16*c**5 - 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -957 divided by -3.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o + o - 2*o)*(-3*o**2 + 2*o - 2*o) + 20*o**2 - 12*o**3 + 23*o**3 - 12*o**3.\nAnswer: 29*o**3 + 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 3*w**2 - 5*w + 394. Calculate s(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 71?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6165*r - 277427. What is g(-45)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/59 (b) 6 (c) 4 (d) 5 (e) 91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7706 + 2.1706. What is the second biggest value in 0, b, 47?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 1\/5*j**5 + 0*j - j**3 - 3 + 0*j**4 + 0*j**2. Find the third derivative of r(f) wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let g(a) = -8*a. Let l(i) = g(i) - 6*o(i). Let s(w) = -68*w**2. Give l(s(j)).\nAnswer: 136*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 3*x**2 - 3*x**2 + ((-5*x + 2*x + 2*x)*(0 + 2 - 4) - 51*x + 8*x + 4*x + (-3 - 1 + 2)*(-5*x + x + 5*x))*(2*x + 2*x - 2*x).\nAnswer: -80*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35354*k**3 - 35348*k**3 + 108532*k**3 - 37832*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 + 0.129. Let x = y + -0.001. Let v = -0.05392 + x. Round v to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 177 = 1283. Suppose -3*y = -4*u + y + d, -5*u + 359 = -3*y. Suppose 0 = -4*v - 10 + 50. What is the greatest common divisor of v and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -26. Let a be (-36)\/t - 2\/5. Find m such that m**3 + 1\/2 - m - 1\/2*m**a = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 6:24 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*q - 9*q = 16, 4*q = -4*l - 28 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 118, 3\/5, 2, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005609 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5207424 and 14320416?\nAnswer: 57281664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-6))\/((-1)\/(-2)*-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13143313221 - -10?\nAnswer: -13143313211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 10:29 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 48 - 4*n + (n + n - 4*n)*(0 - 1 + 0))*(-3 + 3 - 2).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**4 + 4*d**4 - 11*d + 6*d - 2*d**2 + 20*d as m + k*d + z*d**3 + p*d**4 + x*d**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -916, 53, -0.4, -1\/4.\nAnswer: -916, -0.4, -1\/4, 1\/4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -28, 72, -3, 1, 4 in descending order.\nAnswer: 72, 4, 1, -2, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 419218128 a multiple of 954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -16.5. Suppose 2*j + j - 18 = 0. Let l be j\/10 + (-18)\/(-45). What is the biggest value in r, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 123797596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*t - 264 = -5*m, 4*t = -5*m + 330. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5, -0.5, 6, -0.1, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35033.999852385 + 35034. Round m to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*n + 4*n - 3*n in the form u + b*n and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333680548.\nAnswer: 2, 97, 3437321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 2 + 42 = 0. Suppose 0 = 5*f - f + 5*j - 30, -l*f = -2*j - 21. Solve 0*h - f*h - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33849 - 33854. Let q(f) = -f**2 - 8*f - 9. Let y be q(-6). Suppose 0 = -0*o - o + y. Which is greater: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679799 is divided by 5228?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, l: 7, u: 1, t: 3}. What is prob of picking 1 z and 1 l?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 3*o - 54. Let y be ((-46)\/(-506))\/(1\/33). Solve 3*i = -r - 5, -y*i = o - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(5 + sqrt(98) + 0)*4*2.\nAnswer: 400 + 560*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 438*f**3 - 5694*f**2 - f + 17. Give n(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 10. Suppose 4*y + d = 3*u - 4*u, -5*u - 4*y = 34. Let f be 2*5*(-3)\/u. Solve 0 = -x + f, 0*x - 19 = -i - 3*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - 2*l**3 + 537 + 31*l - 181 - 179 - 173 + 15*l in the form k*l**4 + a + i*l + r*l**3 + v*l**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/20 + 4*a**2. Let z = 6 - 4. Let q(k) = -5*k**2 + 3*k**2 + 3*k**z. Determine d(q(b)).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*y**3 - 8*y + 4 + 1 - 4 + 4 wrt y?\nAnswer: -900*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 967.9985 centuries?\nAnswer: 1161598.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 divided by -78?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 92.84494m?\nAnswer: 92844940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000443811023 to 6 dps.\nAnswer: 0.000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 2*s + 6. Let v(k) = k. Let n(z) = -2*v(z) + w(z). Let o be n(-6). Let x(h) = -h**2 - 27*h + 20*h - 11 + 2. Give x(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - w + 16 + 18)*(w**2 + 1 - 2*w**2 + w - w**2) + 2*w + 2*w**3 - 2*w.\nAnswer: 4*w**3 - 79*w**2 + 38*w + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/566 and -7\/88579.\nAnswer: 177158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*11\/(-704)*4\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628288 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 3. Let t be j(-4). Let f = t - 3. Let a(v) = -f*v**3 + 1 + 0 + 0 - v. Determine a(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkgl when four letters picked without replacement from {g: 7, l: 1, k: 12}.\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 239 + -94. Let s = i - 153.9. Let a = s + 8.89999895. Round a to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 50 + 23. Solve -4*s - 52 = 4*a - 20, -l*s + a = 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -2044?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 105*b + 15. Let f(m) = -13*m - 2. Let d(k) = -25*f(k) - 3*v(k). Let x be d(-2). Let c = x + 15. Solve 7*l - 2*l + 25 = 3*q, c = -l + q - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 842821353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263351 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -107.8 greater than 3\/92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21555 is divided by 7167?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 6 + (0 - 60)\/5)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnnmmnatnmmmnnnmnan. What is prob of sequence aa?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2148.96 - 2184. Let b = -36 - n. What is b rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(2\/7)*z)*z**1\/z)**(-1))**(1\/2) assuming z is positive.\nAnswer: z**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(13)*6 - sqrt(65)\/(sqrt(5) + sqrt(125)).\nAnswer: 107*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -176, -70, 104, 346, 656, 1034?\n\"Answer: 34*l**2 + 4*l - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.008 + -18.33. Which is the second biggest value? (a) 0.2 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443340 = -373*x + 361*x. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 14168345.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 9\/10, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19165.\nAnswer: 5, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*z + 7, -3*d + 3 + 8 = -z. Let u be d\/(-8) + (-4)\/(-16). Solve u = 5*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = r, -2*r + 5*j - 25 = -3*r. What is the lowest common multiple of 8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 104343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzz when three letters picked without replacement from {t: 1, b: 1, z: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75220\/15044*((-3)\/(-3))\/((-14)\/8)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 43, 1\/2, -0.04, -0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zprgu. Give prob of picking 1 r and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*m = -30, -416*m - 7 = t - 415*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 1:20 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 2*u**2 - 6*u - 7. Calculate the lowest common multiple of b(4) and 2 + 0\/(-1) - -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 - 149. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*o**5 - 472377*o**4 - 54762276*o**3 + 189048732*o**2 + 150231312*o = 0. Calculate o.\nAnswer: -119, -2\/3, 0, 4, 52602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7162141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5350147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n - 2*n**4 - 5*n**3 + n + 4*n**3 + 3*n**5.\nAnswer: n**3*(n - 1)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 917 (base 10) in base 13?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 4*d. Suppose -2 = -2*l - 2*u, 4*l + 2*u = -u. Let j = 6 + l. Calculate p(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -858*l**3 + 431*l**3 + 431*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 110003?\nAnswer: -110005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6023977\/(-30) + (-30)\/50. Let b = d - -202089. Let h = -1280 + b. What is the common denominator of h and 45\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 3\/10*k**6 - 1\/15*k**7 + 0 + 0*k - 2*k**2 + 3\/7*k**4 - 4\/21*k**3 - 109\/210*k**5. Suppose u(z) = 0. Calculate z.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*u = 3*u, -x + 3*u - 4 = 0. Let d be x\/(-3)*9\/(-8). Let g = 5 + -10. Which is the nearest to 0? (a) -2\/3 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 148375, -3.\nAnswer: -3, 17, 148375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h - 4*j + 1, 2*j = h - 1. Solve h*m + 12 = -2*b, m + m = -4*b - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15510 + 15513.799. Round x to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204672 and 553254?\nAnswer: 35408256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.4, 5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1645 (base 8) to base 5\nAnswer: 12213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516, -526, -550, -594, -664, -766, -906, -1090?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -29066.\nAnswer: -29065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115148843, 230297685, 345446527, 460595369, 575744211, 690893053?\nAnswer: 806041895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (6*(-4*sqrt(204) - sqrt(204)) - sqrt(204)))\/(sqrt(12) - (sqrt(144) - (sqrt(144) - (sqrt(144)*-3 + sqrt(144))))\/sqrt(12)).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + y + y)*((-1 + 2 + 1)*(1 + 2 - 1)*(3*y - y + 11*y) + (-1 - 1 + 4)*(y - 4*y + y)) in the form c*y + h*y**2 + u and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + b**5 - 2*b**5 + 4*b - 3*b**5 + b**5 - 5*b + (-4*b**3 + 3*b**3 + 0*b**3)*(-b**2 - b**2 + 3*b**2) - 3*b + 3*b - b**5.\nAnswer: -3*b**5 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let y(f) = x*f + 6 - f - 2*f + f. Let a(v) = 4*v - 13. Give -6*a(j) - 13*y(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-7*(-18)\/(-882))\/((-20)\/21)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4 - 4 - 52*u**2.\nAnswer: -52*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*m**3 - 156*m**3 + 622*m**3 - 149*m**3 - 157*m**3.\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 13. Suppose -2*d + 335 = q*d. Let z(l) = 5*l + 2. Calculate the remainder when d is divided by z(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7759628923.\nAnswer: 7759628923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -116, -136, -148, -152, -148, -136, -116?\n\"Answer: 4*l**2 - 32*l - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -9. Suppose -c = 2*g - 3*g. Suppose -2*r = a - 17, -a = -g*a - 5*r + 14. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s. Let q be -4*(-6)\/(-48)*0. Let w(j) be the first derivative of 8 + 17\/2*j**2 + q*j. Give w(l(f)).\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -99*i**2 - 22\/3*i**3 + 0*i + 1\/20*i**6 + 0 - 5\/24*i**4 + 0*i**5. What is the derivative of p(d) wrt d?\nAnswer: 18*d**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -1957?\nAnswer: -1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1370935 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 39*a**3 + 2*a**2 - 8*a + 27. Let t(c) = 6*c**3 - 1. Determine -h(j) + 6*t(j).\nAnswer: -3*j**3 - 2*j**2 + 8*j - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -9.776254?\nAnswer: 9.976254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 193*i**2 + 26*i - 277. What is the units digit of j(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 8. Let d be y(-11). Factor -2*j + 0*j**3 - j**3 - 1 + j**2 + d*j.\nAnswer: -(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.4. Suppose 18*y - 6 = 21*y. Sort s, y, 1\/3 in descending order.\nAnswer: 1\/3, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j - 1. Let c(p) = 7*p + 3. Suppose -2*h = -4*z - 40, 4*h - 4*z - 30 = 3*h. What is h*n(f) + 4*c(f)?\nAnswer: -12*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -595 + 595. Let o(f) be the second derivative of 1\/9*f**3 - 1\/60*f**5 + 0*f**2 + 7*f - 1\/36*f**4 + u. Find c such that o(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 20 = -4*q + 6*q, -4*y + 3*q + 20 = 0. Solve 2*d - y = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 8*o + 2. Suppose -l - 6*l = 595. Let x = 92 + l. Determine m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:06 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 60\/13, 1\/3, 5 in descending order.\nAnswer: 5, 60\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 935*x**2\/2 + 99037*x - 483560.\nAnswer: (x - 616)*(x - 314)*(x - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.3 (c) -63\/53 (d) -157.7 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 2. Let o(n) = 4*n - 3. Let f(u) = 2*o(u) + 3*v(u). Let q(c) = c**3 + 2*c**2 - 4*c - 1. Let s(d) = 4*f(d) - q(d). What is s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9743 is divided by 235.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 15*m - 150. Let x be l(10). Let i(d) be the second derivative of 1\/80*d**5 + 0*d**2 - 6*d + 0 - 1\/24*d**3 + x*d**4. Solve i(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 35. Let m = g - -4. Let q = -419\/255 + -2\/85. Which is the nearest to 4\/7? (a) q (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 6*u**2 - 2. Let a be 290\/(-25) + 2\/(-5). Let g(f) = 2*f + 15. Let q(c) = 2*c + 16. Let n(d) = 2*g(d) - 3*q(d). Let k be n(a). What is p(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 30*p - 7. Let k(i) = 3*i**3 + 60*i + 15. Give -7*f(h) - 3*k(h).\nAnswer: -2*h**3 + 30*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 = 5*w, 2*r - 4*r + w = -7. Let j = 230\/77 + -36\/11. Which is the fourth biggest value? (a) -5 (b) j (c) r (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.677 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1792990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4071955591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.349 - -4.349. What is the nearest to -1\/3 in p, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**2 - 10*f - 18. Let u(l) = -8*l**2 + 12*l + 16. What is 6*s(x) + 5*u(x)?\nAnswer: 2*x**2 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + 125*g - 1 + 148*g**3 + 50*g + 256*g**3 + 2*g**2 - 405*g**3 in the form q*g**2 + v*g + k + i*g**3 and give v.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/654748 or -1?\nAnswer: -3\/654748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6555.753 hours to nanoseconds.\nAnswer: 23600710800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 490519?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.1424 plus 650.73?\nAnswer: 680.8724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10452880 times 0.1?\nAnswer: 1045288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/7 + 96700120*v\/7 - 1168864151001800\/7 = 0. What is v?\nAnswer: 24175030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 62?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*t + 918 = -2646 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 246*h - 35 + 127\/4*h**4 + 0*h**3 + 0*h**2. Differentiate q(o) with respect to o.\nAnswer: 381*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 7*l**2 - 9*l - 12. Let g = -36 + 59. Suppose -r = 4*u + 2*r + 29, -3*u - r = g. Let a be n(u). Put 2, 4, a in increasing order.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 40*i + 5 + 25*i - i**3 - 21*i**2 - 85*i + 1 + 6. Determine g(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(3\/6*-1). Let c = -2 - a. Suppose -c*u + 701 = 121. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**4\/12 - 7*q**3\/6 + 4*q**2 + 27*q. Let t(v) = 0. Calculate v.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f**2*v**2 - 2*f**2*v*z**3 - 2*f**2*v + 24*f**2*z + 640*f*v**2*z**3 + 211*f*v*z**3 + 3*v**2*z**2 wrt v.\nAnswer: 22*f**2 + 1280*f*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuhhkusyuy. Give prob of sequence syy.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/2 and 125\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c + 0*c)*(39 - 159 + 18 + 1 - 3 + 4 - 3 + 2 - 1 + (0 - 1 + 2)*(-4 + 4 + 1) + 3 + 2 - 3).\nAnswer: -396*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*j - 4906 = 44*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/14 of a week?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 441\/236 - 125\/59. Which is the smallest value? (a) -2 (b) 0.2 (c) l (d) 0.06 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1363059*c**4 - 320274*c**2 - c + 4 wrt c.\nAnswer: 32713416*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370511409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 6*n - 4*n - n - 11*n + 17*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14*p - 4*p + 3 - 9*p - 2. Let t be r(2). Is 12 a factor of (16\/t + 0)*12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/20)\/((6*12\/(-24))\/(-8)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -l - 17, -18 = 4*a - l - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571*i + 228*i + 16796 = 305*i for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, -5, -428 in decreasing order.\nAnswer: 2, 0.4, -5, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 6:12 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 11. Solve -o = -4*f - 3*t, -3*f = -2*f - 2*t + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 284 + -192. Suppose 4*q + m = 317, 6*q - 4*m = 5*q + c. Let o be (-2)\/(1*(-2)\/16). What is the highest common factor of q and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 2. Give g(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7852908 to the power of 1\/2, to the nearest integer?\nAnswer: 2802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1853 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2250 + -2248. Let a = 3 - -2. Suppose 4*f - 2*n = f + 101, -l*n = a*f - 147. What is the remainder when f is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + (sqrt(891) + 3 - sqrt(891)))*-1*5 - (4 + sqrt(539)*4 + sqrt(539))*2.\nAnswer: -115*sqrt(11) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2 + (1 - 1 - 1)*(-2 + 0 + 3) + (0 + 3 - 1)*(6 + 4 - 6) + 1 - 5 + 1)*(-6*m + 7*m + 6*m + (0 - 5 + 3)*(m - 2*m + 3*m) + 3*m + 3*m - 7*m).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093 take away 472.5?\nAnswer: -472.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 83594?\nAnswer: 752346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177\/15340*-13*2\/(8\/10).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15570 by -3.\nAnswer: -5190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -54082 divided by 9910?\nAnswer: -27041\/4955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 1144*h**3 - 1152*h**2 - 1144*h + 1148.\nAnswer: 4*(h - 1)**2*(h + 1)*(h + 287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (5 + 12 - 12 - -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**2 - d**2)*(-d - 2*d + d)*(-1 + 3 - 3)*(2*d**2 + 53*d - 29 + 29).\nAnswer: -12*d**5 - 318*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k - 6. Determine i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095650379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3783?\nAnswer: 3, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 393 - 1201. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, and 1 s when three letters picked without replacement from {d: 2, s: 2, u: 6, q: 1, r: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((3\/(-18))\/(4\/(-12))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -304 - -304. Let c = -2 - 3. Sort -3, k, c, -2\/15 in decreasing order.\nAnswer: k, -2\/15, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 42 = 3*q. What is the lowest common multiple of 82 and q?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99603427.\nAnswer: 7, 11, 26399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100\/269 - -16747\/538. Let g = 1117768\/9 + -125108. Let c = -33065\/36 - g. Calculate the common denominator of s and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 2 - 1 - 4*h)*(-2 - 3 + 4) as f + z*h and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4 + 0*q**2 - q**2 + 0*q - 9*q - 10. Let v be p(-5). Calculate the greatest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**2 + 485*k - 950 = 0.\nAnswer: 2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -21. Let f = y - -10. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 49755b?\nAnswer: 497562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(1\/2)\/o*o))\/o)**41*(o**(-2\/11))**(-18\/7) assuming o is positive.\nAnswer: o**(-15713\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34336.624023 - -34189.6242. Let i = d - -147. What is i rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157098 divided by 26183?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5 - 0, -5*f + 4 = 3*d. Factor 3*b - 2*b**3 - 3*b**3 + 2*b**d + 0*b**3.\nAnswer: -3*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i = -4416. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + g**2 + 1. Let s(h) = -6*h**3 - 5*h**2 + h - 5. Let y = -2318 + 2313. Let m(i) = i**2 + 4*i - 6. Let j be m(-5). Determine j*s(o) + y*z(o).\nAnswer: o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2454*m**2*o**2*y + 8*m**2*y - 2*m**2 + o**2*y - 79*o wrt o?\nAnswer: 4908*m**2*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20222 + 11?\nAnswer: -20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2344 divided by 2?\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -10\nAnswer: -19\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 4*w - 3. Let t(m) = -m**2 - 2*m - 1. Let f be t(-3). Give j(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 108, 218, 328, 438?\n\"Answer: 110*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 72176.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22083 and -0.05.\nAnswer: -1104.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-22)*26\/65. What is the nearest to -1 in -0.3, 2\/3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:36 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37.237881 and -962.\nAnswer: -924.762119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 6*z - 8. Let v(k) = -k**3 + 12*k**2 - 11*k + 6. Let d be v(11). Determine i(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -4b4?\nAnswer: -4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 1\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Suppose 0*z - 3*z = t. Let k = 4 - z. Solve k*j + 5 = 5*m, -9 = -2*j - 3*m + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186\/49 - -1849\/784. Suppose 4 + 11 = 5*q. What is the common denominator of q\/((-108)\/321) - 2 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2756 and -30483.6?\nAnswer: 27727.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(288) + 0 + sqrt(288) + -1 + 1)**2 + -4.\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 32 = 19*n. Let q = -6 + n. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2. Let l(w) be the first derivative of 1 - 11 - 3*w**2 + 0. Calculate t(l(f)).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + -4 + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-123))\/(217\/(-1302))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14\/9 + -20\/9. Let z = k + -29\/3. Calculate the common denominator of -25\/8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54608*n - 54709*n + 9277 = -4762 for n.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.096 - -0.24. Round z to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/4 + 515*s\/2 + 3126 = 0.\nAnswer: -12, 1042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 25*u**3 + 26*u**2 + 9*u - 573. Let v(o) = 7*o**3 + 6*o**2 + 2*o - 143. What is -9*v(k) + 2*z(k)?\nAnswer: -13*k**3 - 2*k**2 + 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkvpvhkss. What is prob of picking 1 v and 1 h?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.1 + 6.1. Let n = -35.5 + 35. Which is the closest to -2? (a) n (b) g (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 7*o + 7. Let i be d(4). What is the units digit of ((-5)\/(i + 0))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/1193 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y + 7*y + 1 - 5*y)*(-56 - 45 + 145)*(-7*y + 3*y + 3*y) as a + o*y**2 + c*y and give o.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2. Let k(x) = -3*x**2 + 25*x + 4. Let u(h) = -7*h**2 + 51*h + 9. Let v(g) = 9*k(g) - 4*u(g). Calculate v(p(j)).\nAnswer: 4*j**4 - 42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-11 - -9) - (27 - 2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 189\/(-4) + (21\/(-12) - -2). Let g = -45 - k. Solve -g*x = 1 - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) 0.03 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 3*g**2 - 6*g**2 + 6*g**3 + 4*g**2 + 2 + 2*g - 14*g**3 to the form p*g + v + y*g**3 + x*g**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -27*h + 81*h. What is the highest common factor of 244 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 12*o**2 - 3*o - 28. What is n(-13)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*n. What is the derivative of -4 + 1 - 1 - 2*y + n*y wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 1.416233268\nAnswer: -55.583766732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**19)\/r**(-13\/2)*r**(1\/2)\/(r**4\/r) assuming r is positive.\nAnswer: r**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-4) - (-1)\/(-2). Let i(h) = -3*h - 5. Let g(f) = 3*f + 6. Let k(b) = -2*g(b) - 3*i(b). Give k(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221000 - 10011?\nAnswer: 1210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -183*i + 366. Let a(r) = -1. Determine -366*a(y) - o(y).\nAnswer: 183*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17015, 17325, 17635, 17945?\n\"Answer: 310*s + 16705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 93578261.6 and -0.1.\nAnswer: 93578261.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.2769 - -12.01697. What is q rounded to two dps?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-6)\/(-18) + 3\/(6\/(-16))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*o - 206*o + 860 = 279*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 9 = -c - 3, 14 = 5*c - 2*n. Let o be 18*c\/4 - -4. Suppose -3*r + 50 = -o. What is the highest common divisor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 25*m**2 + 10*m + 20. Calculate z(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 25741?\nAnswer: -25743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2 + 103522*c + 215793920 = 0.\nAnswer: -49585, -2176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 13*s + 9. Calculate c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34946518639139493.70000103 - 34946518916077711. Let w = u - -276938193. Let r = w + 24.3. Round r to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-137)\/685)\/(-2*1\/100).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 35*i**2 + 7*i + 36. What are the prime factors of r(-3)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -408736+1.6\nAnswer: -408734.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 74*a**2 + 2. Let j(y) = 1. Calculate 5*j(c) - o(c).\nAnswer: -74*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195155878.\nAnswer: 2, 19, 270299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, u: 5}. What is prob of picking 4 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**6\/60 - s**5\/10 + s**4\/24 + s**3\/3 + 4*s - 1. Solve y(r) = 0 for r.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 95104990\/(-115) + (-14)\/161. Round l to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -16. Suppose -2 = -2*y + 4, 0 = -2*q - 3*y + 15. Let r = p - q. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.15528930789 and 0.\nAnswer: -2.15528930789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:27 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 + 0.61. Let c = 0 - x. Let a = -0.2 - c. What is the second biggest value in 2, 2\/19, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*d + 2\/7*d**2 + 0.\nAnswer: 2*d*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 2\/23 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1090*d**2 - 1 - 4373*d**2 - 3402*d**2.\nAnswer: -8865*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143 + 150. What is the greatest common factor of 203 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcotctoottttc. Give prob of sequence ccc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(539) + 0 + sqrt(539))**2 + -3)*-3.\nAnswer: -12918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - -1.93. Let t = u + -3. Which is smaller: -0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -7, 2\/49, 2, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + -0.3.\nAnswer: -65.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38140 is divided by 1533.\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 6*c**2 - c - 3. Let g be t(-6). Suppose -5*y = -g*y - 8. Solve 5*d - y*u = 17, u + 2*u = -4*d + 26 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 22007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*k**2 + 13*k - 3 + 10*k**2 + 3*k**4 - 10*k to the form f + a*k**3 + j*k + m*k**2 + o*k**4 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/46 - 315\/598. What is the third biggest value in 0.1, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**2 + 249*u + 142. Determine a(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47301998159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 17*n - 80. Let j be y(-21). Solve 5*d = -2*g - 11, 5*d - j*g + 17 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 1. Let m be z(-24). Suppose 20 = m*n - 18*n. Suppose -s - 2151 = -n*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-1 - -1) + 3)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1215 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*r*w**4 + 9*r*w - w**4 + 3*w + 1 wrt w?\nAnswer: -828*r*w**2 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 497 and 36077587225.\nAnswer: 36077587722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2463580 divided by 140?\nAnswer: 17597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k**2 + 5*k**2 - 2*k**3)*(-10*k + 0*k - 17*k) to d*k**4 + m*k**3 + b + c*k + q*k**2 and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1743496650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -26, 2, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/((w\/w**(-1\/4))\/w))\/w)**(38\/3)*w*w**1*w**(-3)\/w*(((w**(-7\/3)*w*w)\/w)\/w**7)**(1\/53) assuming w is positive.\nAnswer: w**(2335\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 22*y - 18*y + 62 + 8*y - y**2. Let i be d(30). Solve 0 = i*o - 4*l, 3*o - l = -6*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100100 (base 2) in base 6?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*k - 11 = 0, -4*k + 1182364 - 1182345 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5262*h**2 + 39*h. Let c(o) = 1313*o**2 + 9*o. Give -26*c(u) + 6*j(u).\nAnswer: -2566*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 6, -1 = 2*y + v + 4. What is the closest to y in 1\/4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 2*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15249?\nAnswer: 3, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-4) - (-2)\/4. Let c(p) = 15*p - 193. Let r be c(13). Suppose 3*t = 9, -14*t - 11 = 2*m - 13*t. Put a, m, r in decreasing order.\nAnswer: a, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -22?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 11:29 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1233105 + 5?\nAnswer: 1233114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 204541718 to the power of 1\/3, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1446 = -2*q, -3*s + 1449 = 4*q - 5*q. Suppose -886 = -5*h + s. Let p = -194 + h. Do p and 80 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18 - (1 - (0 - 0)). Suppose 10*v = 13*v - 15. Suppose -v*r + 63 = -g. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 338 - 212. Let g be 18\/(6 + b\/(-24)). Solve -u = -q + 4*q - 10, -4*u = -4*q + g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*o - 4 = 0, 5*o - 1 = 4*i + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 3787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22861665 by -7620555.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 7:07 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322441 (base 5) to base 11.\nAnswer: -8297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1643*d + 1636*d + 1647*d + 10*d**3 - 6564*d + 1638*d.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 4 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -665 + 669. Suppose -y = 6*v + 14. Put 4, v, 76 in descending order.\nAnswer: 76, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:33 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5.5+-30729288.1\nAnswer: -30729282.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 621559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 32*d - 96. Let p be s(-26). Suppose -4*t + 8*t - 2*n = p, -5*t + 82 = n. Solve 0 = -10*a + t*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + 3. Let h = g + -9. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16002247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2241 + 2251. Solve 5*z + r - 27 = 0, -z - 5*r + 25 = b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.1 + 12.13. Let m = -4.1 + 4. Which is bigger: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.7 - 2. Let l = 0 + b. Let v = l + 0.299995. Round v to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 8:56 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2640 and 606947.\nAnswer: 145667280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14 + 9)*3\/(-25). Suppose -103*d + 509 + 6 = 0. Put d, 79, w, -2 in descending order.\nAnswer: 79, d, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1858\/8 + (-69)\/(-92)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -31185298*c. Let a(s) = -s**2. Calculate a(t(o)).\nAnswer: -972522811348804*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9453, 18908, 28363?\n\"Answer: 9455*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + j**2 + 6742 - 6745. Let p be (1\/(-3))\/((-3)\/27). Let b(l) = 2*l**2 + 4. What is p*b(m) + 4*a(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 1\/12*r**4 - 4*r + 0 + 1\/3*r**3 - 3\/2*r**2. Let j be i(-4). Solve g + j = -0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40.4 - 40. Let x(f) = 16*f + 73. Let o be x(-11). Let v = -102 - o. What is the nearest to v in s, 6, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 5*s**7\/6 - s**5\/20 + 5*s**4\/2 + s**3\/2 + 30*s + 1. Find the third derivative of m(i) wrt i.\nAnswer: 2100*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*z - 2*z - 33363 - 19323. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 2*b = -425. Calculate the remainder when 52 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120371, -241000, -361629?\nAnswer: -482258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 174 - u - 6*u**4 + 2*u**3 - 14*u**4 - 173 to the form d*u**2 + b*u + h*u**3 + v + s*u**4 and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from yuuttuttyt?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-10))\/((-12)\/(-4582)). Let k = d + 153\/2. Sort 2, k, -0.2.\nAnswer: -0.2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142.84 - -2.84. Let d = 99 + w. Let l = 41.54 + d. What is l rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/70)\/(12\/(-20)*90\/(-189))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1.9, 0.16, 1, -2, 170 in increasing order.\nAnswer: -2, -1\/4, 0.16, 1, 1.9, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2 - 1. Suppose -5 + 2 = -k - 2*j, -9 = -3*k - 2*j. List the prime factors of d(k).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-100) + 34\/(-8)*(-2 + 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1133 and 412?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19215 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2444, 4732, 7020?\n\"Answer: 2288*l + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12111102 (base 3) in base 8?\nAnswer: 7647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 851685911?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000017526 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**4\/3 - 581*y**3\/3 + 1157*y**2\/3 + 581*y\/3 - 386 = 0.\nAnswer: -1, 1, 2, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3424 and 101971.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3 + 8*k**2 - 13*k**2 - 137*k + 151*k**4 + 306*k**4 + 166*k**4 + 1424*k**4 wrt k.\nAnswer: 49128*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90336 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m = -17 - 165 - 196 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221389 is divided by 3056?\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - w - 2*w)*(w**2 + 3*w**2 - w**2) + 31*w**3 - 359*w**3 - 187*w**3 as p + o*w**2 + h*w**3 + q*w and give h.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 479507938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1464\/126 - (-12)\/(-9))\/((-4)\/(-84)). Calculate the highest common factor of 40 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 0)\/(-3 + (0 - -5)). Suppose -4*b - 5*t - 12 = 0, 5*t + 22 = b - z. Solve -2 = b*d - 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.01 (b) -5 (c) -0.14 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 4*w + 1. Let p = -9 - -19. Let v be 4\/(-10) + 24\/p. Suppose v*u + 25 = 7*u. Calculate j(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 12:03 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/23 - 37\/69. Let p(g) be the first derivative of 5*g**2\/2 - 21*g - 7. Let f be p(5). What is the closest to f in -1, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1064*c**3*j**3 - 8*c**3*j + c**2*j**3 - 12*c**2*j - 5*c**2 + j**3 wrt c.\nAnswer: 6384*j**3 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205 - -193.1. Let z = d + 11. Let t = -0.90000074 - z. What is t rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238404.\nAnswer: 2, 3, 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561, -5492, -14775, -28410?\nAnswer: -46397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 88*o**3 + 4*o**2 - 7. Let p(b) = 44*b**3 + 2*b**2 - 4. Let t(s) = -3*d(s) + 5*p(s). Let u(z) = -z + 1. Let k be u(2). What is the tens digit of t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 83?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 27601924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 3 - ((-11 - -22) + 2 + 8 + -40)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13\/7, 0.5, -0.3, 21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -7*c - 2726, 5*g - 43*c - 2740 = -38*c. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = k, 4*b + 2 = -3*k + 5*k. Let f be (4\/6)\/(b\/(-6)). Suppose -2*a + 12 = 2*o, -f = 2*o - 5*a - 2. Solve 3*t = o*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.6 - -6.2. Let j = x - -0.7. Let c = 1311\/7 - 187. What is the closest to 0.7 in j, -2, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 + -159.9. Let j = 13.1 - h. Let m be (1\/1)\/(-4 - -3). Which is the nearest to m? (a) 0.4 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 1, f: 1, w: 1, b: 1, q: 2}. What is prob of sequence qe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 - 1492033?\nAnswer: -1492063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/12008 and 61\/13509.\nAnswer: 108072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6 and 115\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4125730783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-6) - 2385\/(-27)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144467940 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -5*i + q - 7, 4*q = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*f + 11, 3*k + 5 = 3*f - 10. Let j be 6\/4*(-8)\/k. Let u be (-7)\/(((-2)\/(-6))\/(20\/(-210))). Sort -4, u, j.\nAnswer: -4, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 39, 8\/95, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2. Does 4 divide b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.074 and 28.49?\nAnswer: -59.08826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 91*y - 222. What is the lowest common multiple of p(-42) and 7?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3*q + 6*q)*(q - 3 + 3) + (-5*q + 2*q + 5*q)*(-3 + 3 - 3*q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.2. Let n be 244\/4 + (1 - -1). Let r be (-14)\/n*(6 - 0). Which is bigger: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 + (109 - -58) + -104\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*j - 518 = -j, -2*v + 2*j = -548. List the prime factors of v.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 11 = -2*p, p = -p - 4. Suppose 3*w = -0*w + 24. What is the least common multiple of w and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.083\nAnswer: 0.0415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/120 - z**5\/10 + 5*z**4\/12 - 4*z**3\/3 - 3*z**2. Is 16 a factor of h(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -25*o**6\/3 + 122*o**5 - 319*o**4\/2 - 266*o**3\/3 + 128*o**2 + 88*o + 256. Let s(g) = 0. What is g?\nAnswer: -2\/5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1447156*l**2 - 22*l - 35675 wrt l?\nAnswer: -2894312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/57)\/q**27)\/(q*q**20*q*q**(-15\/8)\/q) assuming q is positive.\nAnswer: q**(-21049\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -88. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12576 = -1621*l - 157629 for l.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/18 - 10\/(-75).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from arrffrfrrfrfa?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 4:45 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 6 = 2*d - 12, 4*t + 5 = d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000596 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -245.6 + 242.6. Let k = -0.06 + 0.11. What is the nearest to -4\/3 in k, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.278424 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2918.5229 and -0.3?\nAnswer: 2918.8229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/49? (a) -0.2 (b) 1\/3 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4. Let p(w) = 12*w + 24. Determine 4*p(f) + 24*v(f).\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-1))\/80*-50.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 7:41 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 2 - -4 - 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 12*k**2 + 32*k + 1. Calculate the remainder when y(-7) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**2 - 7*x - 6. Let s be ((-14)\/8)\/((-3)\/12). Let a(l) = 3*l**2 - 2*l - 2. Let w(n) = s*a(n) - 2*y(n). Differentiate w(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 12, 9, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -150, -578, -1280, -2250, -3482, -4970?\n\"Answer: i**3 - 143*i**2 - 6*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*n = -1002*n + 78030 for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39\/(-351) - (0 - 32554\/(-396)). Let n = 165\/2 + t. What is the closest to 0.03 in n, -9, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 15. Is 6 a factor of o(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -31*w**2 - 4*w + 2. Let k(t) = 32*t**2 + 5*t - 2. What is 4*k(h) + 5*x(h)?\nAnswer: -27*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6733, 6732, 6731, 6730, 6729, 6728?\n\"Answer: -b + 6734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2510 * -108785\nAnswer: 273050350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9124 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.3799 rounded to 1 decimal place?\nAnswer: 31.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1182651 * 18.\nAnswer: 2.1287718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/12*280\/(-140))\/((-9)\/81).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*1*27\/(-81)*-8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.60654 and 5.\nAnswer: -78.0327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3 - 21*s**2 - 120*s - 100 = 0 for s.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from {d: 2, s: 1, t: 2, k: 7}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, 1, 35, 83, 145?\n\"Answer: 7*n**2 - n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413004 is divided by 1199.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0 - 1 - -5. Suppose 0*z - 2*z + 6 = s*x, 2*z = 2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 81?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117496 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477154688?\nAnswer: 2, 23, 61, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 14, r: 4}. What is prob of picking 1 e and 3 r?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 8*v + 15. Let a be w(-5). Let j = 1.3 + -0.3. What is the third smallest value in j, -0.4, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 161792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92810 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0056955119 to four decimal places.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6885451 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1240004 + -125?\nAnswer: -1240133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 185*-4\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 3, 1 in increasing order.\nAnswer: -52, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*k = -34, 0 = 3*k - 0*k + 6. Is 55 a factor of ((-876)\/b)\/(-3 - 245\/(-84))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 88 + 14. Suppose -v + 4*v - 60 = 0. Let y = v + -10. Calculate the remainder when d is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1351.02 milligrams?\nAnswer: 1.35102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016127659 rounded to 4 dps?\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, 1, 5 in descending order.\nAnswer: 11, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88894542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 0 = -21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4561*h = 4557*h - 83, -17 = h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 26*j**2 + 4*j - 4. Let k be l(2). Let m = 131 - k. What is the derivative of -m*s**4 + 30 + 29*s**4 - 37*s**4 wrt s?\nAnswer: -124*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -586884 by -97814.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*y + 1 - 258*y - 1 to the form a*y + j and give a.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 246 = 2*y. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f + 1 - 2*f - 5 - 5. Give d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 16*b**2 + b - 6. Let i be q(8). Suppose 7*a - 72 = -i*a. Calculate the lowest common multiple of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -4\/3, 10, 0.02, 1\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0*p**5 + 1\/12*p**4 - 2 + 10\/21*p**7 - 1\/15*p**6 - 40*p**2 + 32*p + 0*p**3. Find the third derivative of v(i) wrt i.\nAnswer: 1200*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/35 and -37\/1325?\nAnswer: 9275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-3)\/(1\/1 + 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14295 - 5423. What are the prime factors of w?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -187*m**7\/70 + 2771*m**5\/60 + 6*m**2 - 20*m. Find the third derivative of a(v) wrt v.\nAnswer: -13464*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 94\/10 + 10\/(-25). Let q(u) = -u**3 - 3*u**2 - 10*u - 8. Let n be q(b). What is n rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47404, 47401, 47398, 47395?\n\"Answer: -3*t + 47407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23067 = -11*x + 16929. List the prime factors of x.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14 from -16055.\nAnswer: -16041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-135)*135\/162?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 139513.494466?\nAnswer: -139513.494466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8967428, 8967434, 8967450, 8967482, 8967536, 8967618, 8967734?\n\"Answer: b**3 - b**2 + 2*b + 8967426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -ed68?\nAnswer: -ed65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887577 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*c**4 - 7427*c**3 - 2*c**2 + 6*c - 13138?\nAnswer: 204*c**2 - 44562*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -2*q**3\/3 + 3086*q. Let d(y) = 141*y. What is n(d(u))?\nAnswer: -564*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1564\/3910)\/((-10)\/(-35)*7\/27).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11007 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 771370, 1542806, 2314242, 3085678, 3857114?\nAnswer: 4628550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -34. Suppose 0*k - 13 = -k + 5*i, 0 = k + 4*i + q. Solve -2*n = -3*j - 6, -2*j + k - 11 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15*h**2 - 27*h - 18. Let n be r(5). Suppose n*y - 233*y + 2046 = 0. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1401 and 1461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - 2*a**3 - 4*a**3)*(-4 - 4 + 6) + 4*a**3 + a**3 - 4*a**3 - 3*a**3 + 2*a**3 - 10*a**3 + (-1 + 1 + a)*(3*a**2 - 2*a**2 + 0*a**2).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -147 - -5?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -1\/6*l**3 + 14*l + 1\/6*l**4 + 0 + 1\/2*l**2. Calculate the lowest common multiple of t(1) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, w: 3}. Give prob of sequence ws.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6069\/(-2499))\/((-6)\/336*4)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 261, 255, 247, 237, 225?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**3\/12 + 23*a**2\/4 - 22*a - 493. What is d in v(d) = 0?\nAnswer: 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15514?\nAnswer: 2, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 0*y**4 + 2*y**4)*(-5*y - 4*y - 8*y).\nAnswer: -17*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 18\/5 (b) 5 (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.446, -1\/4, 5, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12 = -3*y - 0, 0 = -h + 5*y - 20. Suppose h*n - 3*n + 3*o + 24 = 0, 4*o = -8. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 423*r**2 + 6 - 6 + 2*r.\nAnswer: 423*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 15 = 4*i - 31, -3*i = u - 12. Let t(l) = l**3 - 10*l - 14. Let d be t(i). Calculate the highest common factor of d and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 6*i**2 - 8*i - 2. Calculate g(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 51*r**2 - 3*r - 159. Calculate l(-51).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -17, 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 - 5*n**2 - 5*n**2 - 3*n**2.\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 954 a factor of 6912684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24980)\/(-15)*(-6)\/(-8). What is y rounded to the nearest ten?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 + 106\/10. Let i = a + -6. Suppose 2*u + i*t - 23 = -u, -5*t = -3*u + 13. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Calculate the greatest common factor of 32 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1575 and 8442?\nAnswer: 211050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) 1\/10 (c) -5 (d) -1949 (e) -2 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-169)\/(-18) + -5)\/((-1)\/(-3)) and -13\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -4*a - a. Let o = a - 42. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 3*w - 2. Let y be g(-1). Solve 4*h + q - 10 = -0, -5 = -3*h - y*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.94 - -1.8. Let b = 84.86 - l. Let s = b - 79. Put -1\/2, s, -4 in ascending order.\nAnswer: -4, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + 0*x**3 + 0*x**3 + (-5*x + 5*x - 2*x)*(0 + 2*x**3 + 0) + 2*x**3 - 2*x**3 - x**4 + x**4 - 2*x + 2*x + x**4 + 3*x**4 + 5*x**4.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12))\/((5\/2)\/5)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 302055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 45271.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -12*a + 14*a. Let u = -5 + 7. What is the remainder when u is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4 - 2. Let q(i) be the third derivative of i**6\/120 + i**5\/20 + i**3\/3 - i**2. Determine q(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -507604 (base 9) in base 3?\nAnswer: -120021200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078\/(-8085)*25\/30?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.846 - 0.154. Which is the smallest value? (a) -0.1 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:51 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.7, -5, 3\/20, 6, -3?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v. Let z be a(4). Let w = 254 - 134. What is the greatest common factor of w and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > -2022\/605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 11, 9, -11, -61, -153, -299?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 11217908*d + 15730182487058.\nAnswer: 2*(d - 2804477)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 - -87. Let f(j) be the first derivative of 4*j**2 + j + 18. Give f(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*v + 46737 = 12689. Suppose 0 = 5*n + 2*z - 5*z - 76, -2*z - 18 = -n. What is the greatest common factor of n and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 52. Let j be 1 - ((-1116)\/16 - q\/(-8)). What is the remainder when (j - (-3 - -2)) + 10\/(-5) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 21*w**2 + 11*w + 49. Let b be u(-22). Suppose -900 = -b*a + 286*a. What is the greatest common factor of a and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2808024 to the power of 1\/2, to the nearest integer?\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*c + 48*c - 35*c)*(3*c**3 + 11*c**3 - 9*c**3) in the form p*c**2 + w*c**3 + l + m*c**4 + g*c and give m.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/4, -4, 3, 308\/97?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3 = -2*y, 5*y + 8*f - 6*f = -13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3.99. Let l = 4.01 - a. Let s = 6.4 + -6. What is the smallest value in l, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62364540 to the nearest one million.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -37 - -110 - (-30 - 0 - -19)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3503 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 68*b**2 + 117*b**2 + 118*b**2.\nAnswer: 303*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84889*r*z - 1192517*z - 1 with respect to r.\nAnswer: -84889*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 + -1 - 8\/(-36). Do -1\/22 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0557 + -2.9443. Which is the closest to -0.4? (a) 78 (b) 4 (c) -5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 20*a**2 + 10*a - 39. Let c be d(-10). Suppose 699 = 16*i - c. Suppose 12*r - 128 - i = 0. What is the remainder when r is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 4*x - 2. Let z(q) = 0*q**2 - q**2 - 296 + 295 - q. Give -r(j) + 3*z(j).\nAnswer: -2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.48 + 0.\nAnswer: 34.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(19) + 1 - (4 + sqrt(475) + 1))**2.\nAnswer: 8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15508747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*s + 19 = 0, 26 = 3*h + 2*s - 7*s. Suppose -18 = -3*t - 3*b, -5*t + 20 = 4*b - h. Solve -f + 0*k + t*k = -3, -f - 1 = -k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2900*p + 2931*p + 90 - 86.\nAnswer: 31*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 + 6 = 0. Find the first derivative of 73*p**2 - 186*p**2 + 72*p**f + 27 wrt p.\nAnswer: -82*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/h**(-6))\/((h*h**(1\/3))\/h*h)**43*h**1*h*h*h**0*h**(2\/13)\/h**(1\/6) assuming h is positive.\nAnswer: h**(-1361\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 48577055 and -20?\nAnswer: 48577075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28168426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 1 + (1*sqrt(22))\/sqrt(2) + sqrt(11))*-1 - (-1 + (sqrt(99) - (-1 + -1*sqrt(99) - sqrt(99))))**2.\nAnswer: -892 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1784607298 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:49 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -229499?\nAnswer: -458998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 57 + (7 - 3 - 6) + -25?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/15*-2 - 865774\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/31)*d\/(d*d*d**46))**(-12) assuming d is positive.\nAnswer: d**(17124\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*m + 3*v - 300, 3*m - 3*v = 225. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381314057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*18\/(-4) + 4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*l - 175 = -59*l + 299. Solve -10 = 5*i, -l*p - 3*i + 33 = 39 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -15. Let n = k - -7.2. Let y = -0.6 + n. What is the third smallest value in y, -2, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 120 - 122 - 4*-1. Solve -w*s - 4*q = 0, 4*s + s = 4*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1124 by -526680.\nAnswer: 281\/131670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 14 (b) 0.5 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(42)\/(sqrt(6)*5*-1) + sqrt(7) + (sqrt(42)*-1)\/sqrt(6) + sqrt(42)\/(sqrt(12)\/sqrt(2)) + sqrt(7))**2*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*1)\/(6\/140). What is the common denominator of i\/(-264) + 3\/12 and 182\/130 - 111\/15 - (-306)\/81?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13487 - 34949 + 16384)*(-4*d - 1 + 1) to the form a + x*d and give x.\nAnswer: 20312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1060 + 2024. Let a = -961 + n. Let s be (1 - -2) + -1 + 0. Solve -s*z + 2 = -a*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)\/(k\/((k\/(((k\/k**(-5\/2))\/k)\/k))\/k)))\/(k**(7\/4)*k**19) assuming k is positive.\nAnswer: k**(-101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(396) - (-3 + sqrt(396) + sqrt(396)*-1))**2*3 - ((sqrt(396) - (sqrt(396) - 2*sqrt(396)*-5)**2)*2 + 3).\nAnswer: -444*sqrt(11) + 90969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6777743501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - v + 1 = 0, -d - 6 = 2*d - 4*v. Let g(c) = 3 + 3*c**d - 2*c + 4*c + 4*c**3 - 5*c**3 - 6*c**2. Give g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 27293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1102, 1105, 1104, 1093, 1066, 1017, 940, 829?\n\"Answer: -k**3 + 4*k**2 - 2*k + 1101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*l - 379*l + 36 = -740*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184261415 and 14173955?\nAnswer: 184261415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/43))**(-18)\/(a\/(a*a\/a**(-25)*a*a))**26 assuming a is positive.\nAnswer: a**(31340\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**4\/4 - 2*v**3 + 7*v**2\/2 + 3*v + 122. What is c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/11749562 and 87\/4.\nAnswer: 23499124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 103445 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from iiiiigigi?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32956 divided by 154\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s = 54*s + 2. Let y(h) = -22 + 8 + 160*h**s - 163*h**2 + 14. Let z(r) = -24*r**2 + r. Determine y(z(o)).\nAnswer: -1728*o**4 + 144*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-6)*-6*9\/27.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w = -4*w + 52. Let v = -12 - -28. Factor 7*i**2 - 21*i**w + 10*i**2 + i + 11*i + v.\nAnswer: -4*(i - 4)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -876 and -23020?\nAnswer: 20165520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449*b - 27280 = -469*b. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/7))\/((b*b*b\/(((b**1\/b)\/b)\/b))\/b))**15\/(b**(2\/11)\/(b*b*(b\/((((b\/(b*b\/b**(-6)*b))\/b)\/b)\/b))\/b))**(-11\/4) assuming b is positive.\nAnswer: b**(-2367\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 37, 53, 65, 73?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3629 times 0.8?\nAnswer: -2903.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -119. Suppose 2*u - k = -2*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 84 - 9. Solve 3*c - 6*c = y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 22. Which is the second biggest value? (a) -0.5 (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 + 64951836*y - 129903664 = 0. Calculate y.\nAnswer: 2, 32475916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lblrrbvvbvvv. Give prob of picking 2 l and 2 r.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2 + -1)\/((-323)\/(-646))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430*t + 1 - 1 + 9290*t.\nAnswer: 9720*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136 - -134. Let n be -8 + 3 - 1520010\/z. Round n to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**2 + 5*b**2 + b**3 + (8 + 19 - 137)*(-4*b**3 + 2 - 2).\nAnswer: 441*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**9\/1008 + 9*i**8\/560 - 3*i**7\/40 + 11*i**6\/120 - i**3 + 11*i - 9. Let b(g) be the third derivative of x(g). Factor b(l).\nAnswer: 3*l**2*(l - 1)**2*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10\/7)*l*l*l**33)**15 assuming l is positive.\nAnswer: l**(3525\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 2. Let r be (-4)\/2 - 1\/1. Let w = r - -5. Suppose w*a + 2 = -2. Give d(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.204 less than -373?\nAnswer: -377.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/3 + (-2)\/6. Suppose 38 = o - k*u, 3*o - 2*u + u = 156. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*m + 1, 0 = -4*m - 3 + 11. Solve -2 = 4*a - 2*k, 2*k = -h*a - 1 + 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r - r**2)*(39 + 22 - 1) + 2*r**2 + 3*r**2 - 2*r**2.\nAnswer: -57*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-3) - (-4)\/6. Let t(g) = -3*g - 1. Let f be t(-1). What is the second derivative of 0*v + v + 0*v**j + f*v**5 wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1\/3, -0.05, -2, 0.7, 0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 15 (b) -0.2 (c) 4551\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 14*x + 14. Let m(p) = -5*p - 5. Suppose -5*i - 6 = -s, 266*s - 266*s = -2*i. Calculate s*h(r) + 17*m(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/2 + 2*v**3 + 3*v**2\/2 - 2*v - 2 = 0. Calculate v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) + sqrt(40))*2 - sqrt(40) - -6*(sqrt(160) - sqrt(40)))\/(-1*3*(sqrt(968) - (sqrt(968) - sqrt(968)*-2))).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -197645385 + -3.\nAnswer: -197645388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/9 - 2\/(-6). Suppose 3*o - o - l = 0. Calculate the lowest common multiple of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2771*a - 7*a**2 - a**2 + 2326*a + 6*a**2 + 217 wrt a.\nAnswer: -4*a - 445","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53020348.\nAnswer: 2, 17, 173, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 29. Let i be ((-7)\/(-14))\/((-11)\/6 - -2). Which is the closest to 2? (a) 0.5 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -3. Suppose c + 0*c = j. Suppose 0 = 4*h + h + 4*v - 15, -5*v = -c*h + 15. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b + 78. Let u(z) = z - 11. Let a(h) = -t(h) - 4*u(h). Determine a(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**7\/840 + 11*n**6\/360 + n**5\/3 + 2*n**4 + 23*n**3 + 94*n. Let w(a) be the second derivative of m(a). Factor w(p).\nAnswer: (p + 3)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f + 114. Determine k(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - l + 14. Suppose 0 = -3*w + t + 27, 0*t - 5*t = -15. Suppose q - w = -2. Calculate the remainder when l is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3))\/(2\/(-9)). Suppose -4*y + 16 = -8*y. Let q be 14\/h - y\/12. What is the highest common factor of 55 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from iivwvvciitvwvviwiicv?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1344 and 69388224.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from dssddspdsprdrsru?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40359647 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3849*n + 47260 + 56719 + 49981 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 1. Let n(c) = -c - 8. Give n(j) - 3*o(j).\nAnswer: 2*j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 4:20 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*b + 1556 - 1710 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 86 = 2*s, 2*s - 2889*k = -2891*k - 52 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96710.81 kilograms to tonnes.\nAnswer: 96.71081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 plus 29655810?\nAnswer: 29655835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 n when three letters picked without replacement from {s: 5, k: 2, n: 1, j: 1, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-4)\/(-54))\/(1\/(-3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/10)\/((-1557)\/(-865)) + 3*(-76)\/(-108). Determine z, given that 42*z - b + 43\/2*z**2 = 0.\nAnswer: -2, 2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -30, 15684\/25 in descending order.\nAnswer: 15684\/25, -0.2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/60 - z**3\/2 - 60*z**2. Let r(g) be the first derivative of v(g). Let k(f) = -2*f**2 + 5. Determine r(k(d)).\nAnswer: 4*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1088 - -1092.71. What is i rounded to 1 dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 305\/15 + (-2)\/6. Let j be (-16)\/140*p\/8. Which is the third biggest value? (a) j (b) 2\/9 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 98500 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4487, 38, 5 in decreasing order.\nAnswer: 38, 5, -4487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 4*h + 2*h)*(0*h + 0*h - 2*h) + 12 - 7*h**2 - 12 + 9 - 4*h**2 + 12 - 13 to q*h + m + u*h**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -221 + 1284. Let r = 1062.999999273 - k. Round r to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10012730 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 3*k**2 - k + 24. Let n be m(0). Suppose 2 = -n*p + 23*p. Let v(s) be the second derivative of -7*s**4\/12 - s**3\/2 - s**2 + s. What is v(p)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.16 - -0.16. Let j = f - -5. Which is the second biggest value? (a) j (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4\/(-18))\/(47\/282)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from xduddxxxxlxxxxux.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3555 and 1422?\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 358710 + -5?\nAnswer: 358709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*x**4 - 3*x**2 + 428 wrt x.\nAnswer: -44*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/((-45)\/(-38)))\/((-1554)\/(-2331))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csswsssxcr. Give prob of picking 1 w, 1 c, and 1 s.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 0.6. Suppose -2*r + 6*r - 5 = 3*y, 0 = -3*y + 3*r - 6. Let m be 10\/15*y\/(-2). Which is the nearest to 0.1? (a) m (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + (sqrt(72) - (sqrt(72) + (sqrt(72)*-1*-6)**2 + sqrt(72)) - (5 + (sqrt(2)*2)**2*6 + sqrt(2))))*-3*-1.\nAnswer: -7926 - 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3fa (base 16) to base 14\nAnswer: -52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 16*p + 364 = 0. Let i(s) = -28*s**3 - 2*s**2 + 13. Let j(q) = 14*q**3 + q**2 - 6. What is p*j(g) + 6*i(g)?\nAnswer: 14*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v**3 + v**2 - 2*v + 1. Let j be n(1). Let b(k) be the second derivative of k**4\/12 - k**3\/6 - 13*k**2\/2 + k. Is b(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*h + 108*h = -x - 61, -h - 4*x = 13. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.56 and 276.\nAnswer: -154.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5794 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (91\/(-56) - -3)*-10 and 413\/(-140) + 1\/(3 - 8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47125156 divided by 442?\nAnswer: 106618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -16. Let v = 17 - b. Suppose 4*q + v = 5*q. Solve 2 = r - q*r - 2*k, k + 3 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*s - 238 = 0, -14 = 5*o - s - 240. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = 5*p. Suppose 0*w = 2*w + p*m - 22, -5*m - 5 = -4*w. Suppose 4*s = 5*g + 30 + 13, 2*s - w = -3*g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2013*n**3 + 5644*n**3 + 26090*n**3.\nAnswer: 33747*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(1573) + -1 + 0 + sqrt(1573) + 0 + sqrt(1573))*3)**2.\nAnswer: -44550*sqrt(13) + 3187350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) -2.8 (c) -18\/7 (d) 0 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*21\/(-6) + -2. Suppose -5*w - 2*q = 17, -q - 2*q + 37 = -g*w. Let k = w + 17. Calculate the smallest common multiple of k and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (238 - 242 - (-2 + 1 - (15 + 4)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15 - (5 - 5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235 + 135 + 103)*(-l - l**2 + l).\nAnswer: -473*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tetetetti. What is prob of picking 3 t and 1 e?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u - 7*u - 14*u. Let f be h(-2). Let l = -24 + f. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c**4 + 4*c**2 + 4*c + 4. Let v(z) = -15*z**4 + 8*z**2 + 7*z + 7. Let y(w) = -4*v(w) + 7*x(w). Factor y(p).\nAnswer: 4*p**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (33\/(-44))\/(20\/(-16)). Which is bigger: 26 or n?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 21 (c) 80.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -1 + -21 + 15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 24*d. Let g(r) = -r - 3110. Calculate i(g(s)).\nAnswer: -24*s - 74640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.152 + -2.152. What is the closest to 1 in 12\/7, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7517*l**2 - 16510*l**2 - 8024*l**2 - 25975*l**2 as s + f*l**2 + x*l and give f.\nAnswer: -42992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 243.271, -2\/15, 3 in decreasing order.\nAnswer: 243.271, 3, -2\/15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5cc + 13?\nAnswer: -5b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -11569480 to the nearest one hundred thousand.\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrddddtddtrdttd. What is prob of picking 3 t and 1 r?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-24)\/(-20))\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o)\/(o\/((o*o*o**3)\/o))*o**(-8)*(o**(-4)*o)\/o assuming o is positive.\nAnswer: o**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 5*f + 49, -3*l + 9 = 0. Let g = -4\/63 - 2\/9. Which is the biggest value? (a) -2\/11 (b) f (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 6?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(208)*-1 - sqrt(208)) + 5 - (-5*(-1 + sqrt(208)) - 1*(-1 + sqrt(208))))**2.\nAnswer: 96*sqrt(13) + 3337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009600628 to 7 dps.\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 - 15344272*k + 29430835401248 = 0. Calculate k.\nAnswer: 3836068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**3\/2 + 7*x**2 + 111*x\/2 + 90 = 0.\nAnswer: -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*1205471.\nAnswer: 15671123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (6 - (2 - -27))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*i + q + 6, q = 5*i + 15. Let c(m) = m - 1. Give c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1718, 3, 1, -15, -4, 93, 4 in descending order.\nAnswer: 93, 4, 3, 1, -4, -15, -1718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*b - 19137 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n - 5. Let p be b(0). What is the units digit of (478 - p) + 2 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xixi when four letters picked without replacement from kkxkkkkkkixkixkkkk?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.03 (b) 65 (c) 1.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1622 + -4933. Are k and -3310 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4)*8\/42)\/(446\/669).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3487284 or 3487282?\nAnswer: 3487284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-4\/11)*l)\/l)\/l*l*l\/(l**(11\/3)\/l))**(2\/13) assuming l is positive.\nAnswer: l**(-134\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -300 - -840. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 17*h**2 - 17*h + 22. Let s be l(16). Suppose s*p = p - 110. Let v(i) = -11*i - 46. What are the prime factors of v(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43333 rounded to 2 dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5*590.9\nAnswer: 2954.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (19 - (-1 - -2)) + -4 + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 + 293\/2. Let g = -2\/15823 - -16623\/6329200. What is the third smallest value in o, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170 + 167. Sort 3, q, 1\/8, 6.\nAnswer: q, 1\/8, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 - 139.287. Let h = b + 0.417. Let q = 1.8577 + h. Round q to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.024, -0.1, 184, -0.5, -1\/5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 45*c - 293. What is d(36)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72127563, 72127562, 72127561, 72127560, 72127559?\nAnswer: 72127558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**2 - 8*l**2 + 10*l**2 + 3*l**2. Let x(p) be the third derivative of -13*p**5\/30 - 6*p**2. Calculate b(x(a)).\nAnswer: -1352*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/2 - 11\/10. Let m = 7.4 + -0.4. Let i = 6 - m. Which is the nearest to t? (a) -5 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvu when three letters picked without replacement from {u: 1, v: 5, s: 4, p: 3, d: 1}.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhhhhhbbhh. What is prob of sequence hhbb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21610*m*p**2 - 26260*m*p wrt p.\nAnswer: -43220*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 913*o**2 + 1092*o**2 - 1825*o**2 + (o**2 + 1 - 1)*(1 + 0 - 2) + (o + o - 4*o + (o - o + 3*o)*(-1 - 1 + 1))*(5*o - 2*o + 1 - 3).\nAnswer: 164*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19\/(475\/(-25)))\/((-3)\/(-2)))\/((-10)\/(-1230)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 149202489 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 3*p + 12, -2*p - 4 = 4*d - 3*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k. What are the prime factors of 2 + 14 + k\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 85720 and 40.\nAnswer: 85760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 60 = -45. Suppose 6*b**4 - 3*b**5 + 115*b**3 - 118*b**y + 0*b**4 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 10:31 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 15. Let r be z(-18). Let u be 1\/r*9 - -19. Suppose 0 = -3*q + 2*q + 2. What is the highest common divisor of u and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 1554221?\nAnswer: 1554215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 30938453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4784 divided by -3275\nAnswer: 4784\/3275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 12*h**2 + h + 11. Let m be t(12). What is the highest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75461614133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180.0009 - -0.0009. Let n = -80 - p. Do -0.1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21398968.\nAnswer: 2, 2674871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*v + 129 - 133, -9*z = 2*v - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 631492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30497497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -18*p - 3. Let k(y) = y**3 + y**2 + 9*y + 7. Let r be k(-1). What is the lowest common multiple of 99 and g(r)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, and 2 b when four letters picked without replacement from {a: 1, l: 1, c: 2, q: 2, b: 8}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -2*p - 60, 3965*p - 39 = -2*w + 3966*p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 652061869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -70914 < -69606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 157*h - 2. Let m(b) = -b**2 - 215*b - 1. Let l(x) = -2*m(x) + 3*s(x). Calculate l(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 350 = 198 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7755.7 - -7756. Which is the closest to 231? (a) u (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -9\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188988576?\nAnswer: 2, 3, 7, 281233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 6, p: 2, k: 1, d: 5}. What is prob of picking 1 k and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5024.1358 rounded to the nearest ten?\nAnswer: -5020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113748403*w**2 - 154133455?\nAnswer: 227496806*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 1130.\nAnswer: 1129.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-10) - (-15)\/(-25). Let n be (0 + 0)*1\/(-2). Suppose 8 = -d*a + j + j, n = j - 2. Sort 4, 1, a in increasing order.\nAnswer: a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(8 + (-16)\/4). Suppose 0*x - 4*z - 4 = 2*x, 0 = -5*x - k*z + 14. Suppose 0 = -x*s - 337 + 823. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - o = -0*g + 5, 4*g = 3*o + 17. Let s(m) = 1 - 6 + g*m**2 + 8 + 5*m**3. Let t(r) = 16*r**3 + 6*r**2 + 10. Let q(h) = -10*s(h) + 3*t(h). Factor q(n).\nAnswer: -2*n**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (2 - 6))\/1. What is the greatest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381 divided by -127.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l. Let n(c) = -91*c**2. What is u(n(p))?\nAnswer: 182*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 2*a + 0*a - 1 + a + 1 + (-3*a + 5*a - 4*a)*(3 - 3 + 2) + (-2 + 2 - 5*a)*(-1 + 2 - 2) - a + 5 - 5.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 11. Let j be 74\/(-8) + (-24)\/32. Let h be f(j). What is the highest common factor of h and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 29*z = -12*z + 40390. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/57 + -1 + 1 and 49\/8.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 70 = 5*t, 0 = t + 2*t + 5*s + 18. Let c = -1 - t. Let w(a) = a - 8. Determine w(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 48*m**2 + 8. Let z(u) = -16*u**2 - 3. Calculate -4*t(w) - 11*z(w).\nAnswer: -16*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17630 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -588, -1185, -1784, -2385?\nAnswer: -2988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 631893151 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -18, -1\/3, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**(24\/7)\/(v\/(v\/(v*v*v**(-2)))*v**0\/v))**(-7) assuming v is positive.\nAnswer: v**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3416.8 - 15329. Round v to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**7\/35 - v**4 - v**2 + 1. Let y(f) be the second derivative of u(f). Find the second derivative of y(q) wrt q.\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 485 and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1233*118\nAnswer: 14.5494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h**2. Let m(l) be the third derivative of -l**5\/30 + 3*l**2. Determine m(j(y)).\nAnswer: -72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301909804 to the nearest integer?\nAnswer: 17376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 447*v**2 + 449*v**2 - 4 - 896*v**2 + 960*v**3 - 965*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.172 - 0.028. Suppose 0 = -u - u, -3*t + 3*u + 36 = 0. Suppose 0*r + t = -3*r. What is the third biggest value in -5, g, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z - 4*h + 26 = 0, 3*z = -4*h + 46. Let p(r) = -2*r**3 - 28*r**2 - 3*r - 41. Let k be p(-14). Is (35\/z)\/(k\/14) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*2 + -5)**2 - (sqrt(156)\/(sqrt(12)*-2) - (sqrt(13)*1*-2)**2).\nAnswer: -279*sqrt(13)\/2 + 2625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m + 42. Let v = m - 13. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/2 + -6)\/(1\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-905)\/(-3)*54\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204984 and 4680.\nAnswer: 1024920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 41. What is y(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 2*p - p + (5 - 4 + 36)*(0*p + p + p) + p + p - 4*p)*(-182 + 203 - 109) to n + a*p and give a.\nAnswer: -6424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in micrometers?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = j + 842 + 30, -5*s + 866 = -3*j. What is the greatest common divisor of s and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 - 67*f - 2*f**2 + 2*f**3 + 26*f - 6 + 23*f + 21*f in the form y*f**3 + w*f**2 + r*f + b and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2442 = -283*q + 5*q + 56*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f*m**2 - 192*f*m - 14280754*f + 318*m**2 with respect to m.\nAnswer: 12*f*m - 192*f + 636*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4837*a + 187439 - 625 - 406580 = 428392 for a.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1772*j*w**2 - 664429*j*w + 740*w**2 wrt w.\nAnswer: -3544*j + 1480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(0 - (-1 - 2)). Suppose o*b - 12 = 12. Suppose 2*d + p = b, -3*d - p = 3*p - 22. Solve 2*h = -5*y - d*h - 45, y - 20 = 5*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2 + 2)*(3 + 2 - 2) + (-1 + 4 - 2)*(-2 - 3 + 4) - 7 + 0 + 5)*(2 - 2 - 2*z) to t*z + j and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*x**2 - 26*x**2 - 2*x**2)*(-3 + 6 - 8) + x**2 - 1 + 1)*(x - 4*x + 2*x).\nAnswer: -96*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4601232 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3351935 to the nearest 1000.\nAnswer: -3352000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -33*g + 0 - 1\/2*g**2. Let u(o) = o. Give -3*u(f) - 2*v(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 - 18*f**2 - 4*f + 14*f + 22*f**2 - 14*f.\nAnswer: -8*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2155 + 6577*n**3 + 4158385*n - 4158383*n + 158*n**3 wrt n?\nAnswer: 40410*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 10*o**2 + 25*o**3 + 65*o**4 + 58*o**4 + 58*o**4 - 161*o**4 + 5*o**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mffffmffmgggygggf. What is prob of sequence fgg?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14544 and 472680.\nAnswer: 945360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 6*g + 7. Give b(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -23*m**3 + m**2 + m - 1. Suppose -2*a + 14 = 6. Suppose 0 = 2*z - 4*h + 4, 3*h - 3 = z + 3. Suppose -a*q = -10*q + z. Give v(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120085, -120096, -120115, -120142?\nAnswer: -120177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 388*d*j**2 - 59*d*x - 18*d - 19*j**2*x - 13*j**2 + 3*j*x wrt j?\nAnswer: 776*d - 38*x - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7941 and 1452.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, m: 2, l: 3}. Give prob of picking 2 z and 2 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n. Suppose -y + 26 - 5 = n. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**2 - 2*m**2 + 4*m**2 + m**2 + 2*m**2 - 4*m**2 + 3 - 2*m**2 - 3 + (2*m + 0*m - 3*m)*(m - m - m))*(-1 - 3 + 7) to l*m**2 + a + z*m and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - k = 0, 0 = -x - 3*k - 7 + 21. What is the second derivative of 2*s**3 - 93*s**2 + s + 16*s**x + 3*s - 35 + 33 wrt s?\nAnswer: 12*s - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = 0, -4*n + 5*z - z = 4. Suppose a - 61 = 2*x, 0 = -3*x - 0*a + n*a - 89. List the prime factors of 1504\/44 - (-6)\/x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -16147*c - 32379. What is m(-2)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*q + 9328, -10*q - 42 = -3*q. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1575 = 30369. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6413430*i**2 + 23430*i + 23430. Let b(d) = 1095*d**2 - 4*d - 4. Let p(c) = 11715*b(c) + 2*t(c). Let m(n) = 4*n. Determine m(p(f)).\nAnswer: 4260*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/62333900 and 133\/170?\nAnswer: 62333900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2\/11*i**5 + 24\/11*i + 0*i**4 - 14\/11*i**3 + 16\/11 - 4\/11*i**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1462 is divided by 373.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8958421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -373?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91 in 0, 34, -2\/7?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-10) - 3*1. Factor 0*t**3 - 3*t**3 - u*t**3 + 6*t**3 + 27 + 9*t**2 + 27*t.\nAnswer: (t + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a + b30?\nAnswer: b5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6*l**2 + 3*l**2 + 2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -630 - -324?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**3 - 5*k**2 + 5*k - 11. Let f(t) = -5*t**3 + 6*t**2 - 6*t + 12. Calculate -6*b(s) - 5*f(s).\nAnswer: s**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q - 9 = 0. Let m(z) = -z**3 - 4*z**2 - 5*z - 4. Calculate the lowest common multiple of m(q) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 7 - 7 + (1 - 4 + 2)*(-16*y**2 - 34 + 34) + 3*y**2 + y**2 - y**2.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794.887 kilograms to tonnes.\nAnswer: 0.794887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 146 - 149. Let o = 4.03 + -0.03. Let x = 7 - o. Put x, q, 0 in increasing order.\nAnswer: q, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3 - 6\/18. Let p = -9 - -17. Let t be p\/(-10)*(-35)\/238. Do k and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 206.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815971*y = 816539*y + 11928 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 120.85916.\nAnswer: 116.85916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295030828.\nAnswer: 2, 439, 168013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, u: 2, z: 1, c: 2, x: 1, a: 1}. What is prob of picking 2 c, 1 m, and 1 u?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l, -4*h - 27 = l + 25. Let s = h - -10. Put -53, -2, s in ascending order.\nAnswer: -53, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0246 and -8.\nAnswer: 0.1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*n**5 - 4038*n**4 + 264770*n**3 + 327606*n**2 - 264780*n - 323568 = 0. What is n?\nAnswer: -6\/5, -1, 1, 84, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 813926 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 7. Let j(i) = -i**2 - 9*i - 11. Let w be j(-8). Let a(v) = 5 + 2 - 4 - v + 1. Let n(u) = w*k(u) - 5*a(u). Determine n(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, b: 4, v: 2, p: 2}. Give prob of picking 3 f and 1 p.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2\/19, -2\/137, -5, -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/2 + 8622762*n + 37176012254322 = 0. Calculate n.\nAnswer: -8622762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 487*c**2 + 6*c - 217. Let j(w) = -60874*w**2 - 748*w + 27126. Let p(s) = -748*b(s) - 6*j(s). Find the first derivative of p(m) wrt m.\nAnswer: 1936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 229*h**2 - 2597*h - 1635. Determine o(217).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019319 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.9 and -21826.745.\nAnswer: -21829.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -4. Suppose 1 = -2*v + 9. Suppose 0 = v*k + 11 - 71. Solve o = 5*d - k, -4*o - 16 + t = -4*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**2 - o. Let x(t) = 17*t**2 + 4*t. Let u(j) = -11*a(j) - 4*x(j). Suppose -4*v + 10 + 2 = 0. Let c(n) = -3*n**2 - 9*n. Give v*c(r) - 5*u(r).\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 28*n + 5560. Does 4 divide f(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17949, 36025, 54101, 72177, 90253, 108329?\nAnswer: 126405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 24 = -10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolkolllolok. What is prob of sequence kk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6761587609306 plus -0.08?\nAnswer: -6761587609306.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**4\/4 - 10*m**3\/3 - 12*m - 8. Let w be p(10). Does 4 divide (w\/(-8))\/1*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5193*h*r**6 + 53*h*r**3 + h*r**2 - 2*h*r - 660*r**2 + 13*r + 1 wrt r?\nAnswer: -623160*h*r**3 + 318*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120874 + -120988.837. Let i = 115 + g. Round i to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9226374 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1196\/(-14) + (-6)\/(-14). Let u = n - -1280. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**2 - 9*z**3 - 40*z**3 - 9*z**3 + 42*z + 65*z wrt z?\nAnswer: -348*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 288*j**2 + 3477*j - 3477. Determine p(1).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((2*sqrt(85) - sqrt(85))*-2 - sqrt(85)) + 2*sqrt(85)*2)\/(sqrt(5) - (sqrt(15)\/(sqrt(9)\/sqrt(3)) + sqrt(5)) - sqrt(560)\/sqrt(7)) + 1)**2.\nAnswer: 2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127311, -127257, -127203?\nAnswer: -127149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321979804 to the power of 1\/3, to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12818\/49 or -5?\nAnswer: 12818\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 460 and 26560?\nAnswer: 610880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273 - 273. Let j(t) = t**2 - 4*t - 2. Let y be j(5). Solve s*k - y = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/120 - w**5\/60 + w**4\/12 + w**3\/6 + 10*w**2. Let t = 76 + -70. Suppose t - 9 = x. Calculate a(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 3*x**2 - 4*x**2)*(8*x**2 + 2*x**2 - 2*x**2) + 12*x**4 - 19*x**3 + 2*x**4 - 13*x**4.\nAnswer: 17*x**4 - 19*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/((-3)\/45). Suppose -x = 4*g - g + 13, 5*g = u*x - 35. Suppose -36 = z - 4*z. Solve -z + 0 = 3*b, -b - 14 = -x*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**1)\/g*g**11*g)**(-1\/46) assuming g is positive.\nAnswer: g**(-7\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*p - g + 103, -4*g + 5 = 301*p - 302*p + 28 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/238 and 61\/204.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48780, 195104, 438970, 780372, 1219304, 1755760, 2389734?\n\"Answer: -r**3 + 48777*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1487 or -1?\nAnswer: -2\/1487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4, f + 4 = -4*d - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(sqrt(102) + (sqrt(102)*2*3 + sqrt(102) - sqrt(102))))\/(sqrt(150)*-1 - -6*(sqrt(24)\/sqrt(4) - sqrt(6))).\nAnswer: 5 + 7*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*c - 1339 = -55*c + 49*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/170 - 1\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 - 5*t + (1 - 1 + 2*t)*(-1 + 3 - 3) - 2 - t + 2 + 4*t - t - 2*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*p + 132*p + 291*p + 68*p + 3*p to the form y*p + h and give y.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aa + -41c?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 5, 5\/19, 1\/5?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 6*sqrt(143)*-1)\/sqrt(11).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -144*q - 107. Let n be c(-6). Let r = -721 + n. What is the remainder when 322 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 + 1353 = -620*p - 1626 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w - 2. Let l be q(1). Let s be l\/(-4) + 2\/8. Suppose -a = s*a - 176. Calculate the greatest common factor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-4) - -1)*-2. Let m be ((1 - (-12)\/(-9))\/1)\/(180\/108). What is the closest to d in -4, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-4 + -6)) + (-1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1662 + -1 + (-12 - -9). Suppose -3*s = 2*d - k, -4*s - 2*d + 5*d = -2188. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(288) + 1*sqrt(288) + -4 + sqrt(288) + sqrt(288) + 0 + 2 + -3)**2.\nAnswer: -27798 + 2880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one fifths of a tonne?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16970*t = 15471*t + 64882 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k - k**4 - 9*k**3 + k**3 + 7*k**3 as d*k**4 + z + s*k + w*k**3 + q*k**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12109615.01 rounded to the nearest one thousand?\nAnswer: -12110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 15*x**3 + 3*x**2 - 2*x - 2. Determine h(2).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -7) + 22 - 29.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 = -3*o, 5*o - 6*i + i = 5. Suppose -2*k + o*r = 3*r - 161, 3*k - 241 = -r. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-10)*h)**(2\/3))**(-34))**20 assuming h is positive.\nAnswer: h**(10880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (120 - 16*k**3 - 120)*(4 - 1 - 2)*(-142*k + 34*k - 10*k + (3 - k - 3)*(1 - 3 + 1)) in the form b*k**2 + c*k + q*k**4 + i + r*k**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 7*i**2 + 7*i + 6. Let a(q) = -3*q + 3. Let l be a(3). Let x be o(l). Find the common denominator of (-494)\/72 + 16\/x and -65\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -3368*t + 3374*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 14041*g**2 - 14081*g**2.\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 5. Let j be 0\/((2 - 3)\/(-1)). Let o be z(j). Which is the third biggest value? (a) o (b) -2\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-1 - sqrt(78))*5*1)\/(4*(sqrt(300)\/sqrt(2) - sqrt(6))).\nAnswer: -5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvzvzvvvzvv. Give prob of picking 1 z and 2 v.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77) - sqrt(77))*-1)\/sqrt(7).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 3*z + 0*z)*(57 - 91 - 66) to the form h + s*z and give s.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 7*o**2 - 7*o + 10. Suppose -5*y - 49 = 2*a - 5*a, -y = -2*a + 21. What is the remainder when k(8) is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11435641 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 10*p**2 + 9*p + 4. Let l be n(9). Suppose 3*q = 6, -3*k + 13 = -l*q + 3. Solve 2*v - k*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/(-10) + (-10)\/(-25). Suppose t*q = 4*i - 3, q + i = 2*q. Let z(w) = 2*w + 3. Let l be z(q). Sort -0.4, l, 2.\nAnswer: l, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2212529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102501 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/9 + 8\/36. Let l(i) = -1 + 2*i**w + 3*i**3 + i - 4*i**3 - 4*i**3. Let y be l(1). What is the third smallest value in y, 4, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 1, e: 2}. What is prob of sequence je?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/4, 27\/14, -5 in increasing order.\nAnswer: -5, -2, -1\/4, 27\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8101570, -16203178, -24304786?\n\"Answer: -8101608*u + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 395*m + 3. Let d(z) = -122*z**2. Determine q(d(w)).\nAnswer: -48190*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*b + 5564 = 65*b - 5646 - 3235 for b.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24803*r + 24806*r - 22 = -z, 26 = 5*r - z for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is the product of -0.817 and -41.24?\nAnswer: 33.69308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 760 and 648710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 100?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfrjj. Give prob of picking 1 j and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21141.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8268 and 1200732.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -c + 16, 0 = -3*d + 3*c + 6 + 6. Suppose -5 = -4*g - 1. Let o = g - -4. Solve -o = 4*i - d*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-71)\/(-2) + (-1)\/2. Let x = -32 + o. Suppose 123708 = x*i + 330708. What is i rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 18*s - 15. Is 38 a factor of k(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 188 - 187.9. What is the nearest to -2\/21 in -3\/7, 0.03, c?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let x(b) = 35583*b. What is x(k(j))?\nAnswer: -35583*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -1272 = -1273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 6*z - 3. Let d be r(2). Suppose 4*g = -2*p - p + 23, 2*p + 23 = d*g. Suppose -3*x + 9*j + 19 = 7*j, 3*j - 4 = -2*x. Solve x*q + g = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 265*j**2 - 4*j - 206966. Determine p(-262).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - -2) + 1 - -1. Suppose 5*r = 2*w + 2 - 16, 4*w - 3*r - a = 0. Suppose w*x - 4*q = 9 + 23, -16 = -3*x - 2*q. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/2 or 10319?\nAnswer: 10319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -52334282 divided by -575102?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 10804.22994?\nAnswer: 10806.22994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89694 and 106002.\nAnswer: 1166022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = 4*y. Let t be y + (3 - 2)*-146. Let r = t - -239. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, p: 5, g: 1, q: 2}. What is prob of sequence pv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3209031 to the nearest integer?\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 1\/12*z**4 - 4\/3*z**3 + 0*z + 0 - 1\/20*z**5 - z**2. Let g(q) = 5*q + 5 - 3 - 4*q - q**2 - 5. Give -3*a(p) + 8*g(p).\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1572 - 2379.\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + s = 9, -2*z - 10 = 4*s - 4. Let f(x) = 2*x**2 + 4*x - 2. Let w be f(-3). Solve -w*d = z + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -830 by -7110.\nAnswer: 83\/711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -284845 or -1\/4?\nAnswer: -284845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + -3.7. Let r = -2251 - -447947\/199. Let o = 364\/3383 - r. Which is the smallest value? (a) -0.3 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 38. Let n be a(-17). Let s(k) = n*k - 7*k + 5*k + 8*k. Let h(d) be the second derivative of d**3\/3 - 2*d. Give s(h(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 342*n - 20. Let a(l) = 128590*l - 7515. Let x(w) = 4*a(w) - 1503*g(w). Let i(p) = -2*p. Determine i(x(q)).\nAnswer: -668*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**6\/24 + h**5\/20 - 3*h**2 - 1. Let p(k) be the second derivative of r(k). What is the third derivative of p(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5581*j**2*m**3*t**3 + j**2*m**3*t - 23*j*m**3*t**3 - 3327*j*m**3 - 7*j*t**2 wrt t?\nAnswer: -33486*j**2*m**3 - 138*j*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-170)*(-10)\/(-8)*75\/10.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = 15. Suppose 1 + r = -4*u. What is the units digit of (3 - 2)\/(u\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v - 2. What is k(-8)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49634529 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.88 + 0.12. Let g(i) = i**3 + 23*i**2 + 20*i - 52. Let p be g(-22). Which is the third biggest value? (a) p (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/1701*-238)\/((10\/15)\/1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16654?\nAnswer: 2, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 15*d - 56. Let b(t) = -t**2 + t - 18. Give 4*b(k) - n(k).\nAnswer: -2*k**2 - 11*k - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79.8 + 224.97.\nAnswer: 304.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, q: 1, f: 7, t: 5}. What is prob of picking 1 t, 1 f, and 2 l?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Let l = 0.005 + -0.005. Let r = l - f. Sort -6\/7, 1\/3, r in descending order.\nAnswer: 1\/3, r, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m**2 + 0*m**2 - 4*m**2)*(-2*m - 2*m + 2*m) - 7*m**3 + m**3 + m**3)*(2*m - 4*m + 2 - 3).\nAnswer: 2*m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 10 = -14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 4*h + 2*h)*(-h**2 + h**2 + h**2)*(-13 + 107 - 21).\nAnswer: -146*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 - 44\/(-7). Find the second derivative of 6*s + 5*s - u*s + 6*s - 7*s**2 wrt s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 2324852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.666 + -1.766. What is the third biggest value in 0, a, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3744760 and 7395.\nAnswer: 325794120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 5*p**2 + p + 7. Let u be v(-5). Suppose -u*t - 8 = -3*t. Calculate the remainder when 30 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 46, 64, 84, 106?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-21\/2)\/y**(-2\/139))**(-2\/85) assuming y is positive.\nAnswer: y**(583\/2363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q + 11*q**2 + 3*q - q**2 + (-1 - 2*q + 1)*(4*q - 4*q + q).\nAnswer: 8*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -16818863 at most -16818863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7034327, 7034335, 7034349, 7034369, 7034395, 7034427, 7034465?\nAnswer: 7034509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011001001000001 (base 2) to base 11.\nAnswer: 178689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3440*g + 3438*g - 10 = 6879*g, -v + 118*g + 20 + 1160 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 o when four letters picked without replacement from {o: 16, x: 4}.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 677, 5571, 18915, 44933, 87849?\n\"Answer: 704*k**3 + k**2 - 37*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 25195?\nAnswer: 25198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1121, 2244, 3369, 4496, 5625, 6756, 7889?\nAnswer: 9024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367483370.\nAnswer: 2, 5, 19, 281, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/70 and 55\/469.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -33. Let y = -9 + x. Let f = -0.7 - -0.2. Which is the smallest value? (a) 2\/3 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -14*o. Suppose -21*m + 1950 = 4*m. Let c(k) = m*k + 78*k - 157*k. Calculate a(c(g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 739*x - 672*x. Let h = 45 + -17. Calculate the lowest common multiple of x and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l + 33 = -4*n, -5*n = 4*l + 57. What is the tens digit of 4\/18 + (-277)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359866222?\nAnswer: 2, 401, 563, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26568721.\nAnswer: 317, 83813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 1904 = 7*b. Let d = b - 269. Put -2, -4, -8, d in decreasing order.\nAnswer: d, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 + -44?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1064 + -714. Suppose y = -4*c - z + 2970, -5*c + 3276 = z. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgdggbbg. What is prob of sequence pg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/1225 - -60379\/1225. Let q = n - 49. Which is the biggest value? (a) -4 (b) 1\/8 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/7 - 30*j\/7 - 72\/7.\nAnswer: 3*(j - 12)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -235*i**2 - 119*i - 17. Let w(v) = 4*v**2 - 6*v - 1. Give m(t) - 17*w(t).\nAnswer: -303*t**2 - 17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3150185*x + 3*x**3 + 3150185*x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*g + 2*g. Suppose 1030 = 97*y + 37*y + 72*y. Calculate the remainder when g is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -b + 512, -5*g - 4*b = -1168 + 310. Calculate the highest common divisor of 68 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 251984898 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbungzbzubzzzznnbb. Give prob of sequence nubn.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 2. Suppose 4*k = -12, -2*a + k - 2 = -7. Is y at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -36 (b) -1 (c) 2\/13 (d) -1\/59 (e) -4 (f) 2\/11 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2*(-6)\/45. Let c = 335 - 317. Let m be (c - 16)\/(3\/6). What is the smallest value in m, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 26 - 94 + 44 + (-4*q + 5*q + 2*q)*(11 - 11 - 14*q) to v + d*q + x*q**2 and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 274824.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4497 times 0.069\nAnswer: -310.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 754.02504 seconds?\nAnswer: 0.2094514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 0 + 0*n**3 + 1\/5*n**5 + 6*n + 0*n**2 - 1\/3*n**4. What is the third derivative of d(p) wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697579863 is divided by 214.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - -0.25. Let h = 0.2 + t. Let w = -0.6 + h. What is the nearest to -2\/9 in 0.5, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228\/(-663) + 42\/(-357)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394498 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from ymxykkkkkkyty?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 32*q - 5*q + 21 - 37.\nAnswer: -37*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 <= -439\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*o**4 - 112*o**4 + 73*o**4)*(78 + 597 + 139 - 111).\nAnswer: 11951*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 757 - 176629*t + 177099*t - 2338 wrt t.\nAnswer: 470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 11}. Give prob of sequence bh.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 7142.3.\nAnswer: -714.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1141? (a) 1\/54 (b) 0.09 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 2*w + 4. Let q(h) = -h**2 - 18*h + 15. Let l be q(-15). Let f = l - 29. Suppose -f*o + 15 = -26*o. What is d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u + 166 = 16*u + 710 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by ((-1)\/3 + 0)\/((-25)\/2925)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3588\/149 - 1538377\/596. Let r = 2619 + y. Calculate the common denominator of r and -7\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quuqqquqqqqquqququ. Give prob of sequence uqq.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 2*t**2 - 5*t**2)*(-5*t + 5*t + 4*t - t - t + t + (4 + 0 - 5)*(4*t + 0*t - 2*t) - 2*t + 3 - 3).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 175*f**4 - 475*f**3 + 355*f**2 - 55*f. Let s(g) = 29*g**4 - 79*g**3 + 59*g**2 - 9*g. Let q(o) = -35*s(o) + 6*t(o). Find d such that q(d) = 0.\nAnswer: 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4184515.\nAnswer: 5, 37, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = l - 5*y - 7, 3*l - 5*y - 220 = 0. Calculate the remainder when l is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*z - 2*j, -z + 3 = -0*z - 4*j. Solve r = 6*r - z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l + 7*l - 28 + 12*l - 9*l - 8. Let m be p(2). Solve m*u = -u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6823141 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20014 (base 9) to base 6.\nAnswer: 140451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + 4*sqrt(605) - sqrt(605))*-3 + 2 + sqrt(605) + -5 + sqrt(605) + -4*(sqrt(605) + 1*sqrt(605)))*4)**2.\nAnswer: 15840*sqrt(5) + 2178144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 0, -3*s + 6 = -0*y + y. Suppose y = -4*u + 3*u + 4. Suppose 8*l - 7*l = u. Solve -4*j + 0*j = l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.93968 and 0.1?\nAnswer: 0.593968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - m**2 + 27. Let w(x) = -10*x - 3. Calculate the remainder when h(0) is divided by w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 87*w - 40. Let h be v(43). Factor 0*m**2 + 6*m + 0 - 3\/2*m**h.\nAnswer: -3*m*(m - 2)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/5 - 4*g**2\/5 - 3*g\/5.\nAnswer: -g*(g + 1)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let w(a) = -812*a + 44 - 131 - 57*a + 38 + 45. Determine w(h(l)).\nAnswer: 869*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -1294?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2339*f - 50078 - 3776 = 44384 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 - 40*m**2 + 9*m - 21. Let s(o) = 2*o - 29. Let z be s(7). Let y be v(z). What is the greatest common factor of y and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -359*z**4 - 2*z**3 - 563*z wrt z.\nAnswer: -4308*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-9 + 4 - (-9 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + 8.03. Let z = u - 4. What is the closest to 2\/5 in 2\/15, 3, z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*q**3*z + 6*q**3 + 33*z wrt q?\nAnswer: -225*q**2*z + 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -472 - -696. Let c = w - 216. Solve -33 = -5*i + 4*x, 2*x - c = -2*i - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7923.433us?\nAnswer: 7923433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 1 = -q + 3, 5*q = -4*i + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 5*s**2 + 2*s - 3. Let a be w(-4). Solve -a*r - 4 - 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6067151.\nAnswer: 293, 20707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bye when three letters picked without replacement from {y: 5, b: 1, e: 5, p: 3, n: 2}?\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(68\/(-1870)*(-25)\/10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55546749.\nAnswer: 3, 809, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*k + 2*k. Let p = 10.89617 + -10.33117. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/9 - -2 - (-3)\/18. Let l(n) be the first derivative of 0*n + 1\/3*n**3 + 3 + 1\/4*n**4 - 1\/5*n**5 - u*n**2. Factor l(b).\nAnswer: -b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2. Let m = -2 - -6. Let q(n) = -4*n - n + m*n + 3*n. What is u(q(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7))\/((80\/(-35))\/8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2313 (base 8) to base 3\nAnswer: -1200110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqsd when four letters picked without replacement from {s: 1, b: 1, o: 1, d: 1, q: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 11*l**3 + 5*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -29\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -893\/10397 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17227723 is divided by 69.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20444514 (base 6) in base 2?\nAnswer: -10010001110011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnnnggwwgn. What is prob of picking 1 w and 1 n?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*x**2 - 46*x**2 + 301 - 301.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5*n = 23, -5*y = -2*n + 3*n - 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001602629982 rounded to seven decimal places?\nAnswer: 0.0001603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (3 - 2) - 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33806.1 + -33810. Is 65 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 35 (b) -180 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 63110047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 4 (b) 196 (c) 5 (d) -5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2702 - 2702 - 82*a)*(-2 - a + 0*a + 0).\nAnswer: 82*a**2 + 164*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152911839 is divided by 1149713?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6*t - t - 7 = 0, -13 = -5*s - 2*t. Let g(k) = -s*k - 2 - 2*k + 7*k. What is the units digit of g(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 12 = 0, -4*y + 148 = -4*w. Calculate the common denominator of -1 - (-5)\/((-315)\/(-196)) and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10063448*b**2 + 167*b - 1052*b + 10063443*b**2 = 0. What is b?\nAnswer: -177, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33000.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*-2 - (sqrt(336)\/sqrt(7))**2 - (((sqrt(15) - (sqrt(15) + -2*sqrt(15))) + sqrt(15))\/sqrt(5) - 4*(sqrt(3)*1)**2).\nAnswer: -25*sqrt(3) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:40 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:07 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011b (base 12) in base 11?\nAnswer: -14783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 11) in base 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - -19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 9 = -n, n - 8 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9058*n**2 + 4*n + 245. Let a(r) = -r - 49. Determine 5*a(y) + i(y).\nAnswer: -9058*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017817 to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*m - 19, 4*m + 0*m - 13 = 3*b. Let c = 18 + -34. Let v = c + 27. What is the greatest common factor of b and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -2*b**5\/5 + 4*b**3 + b - 24. Let o(s) be the first derivative of r(s). Find the second derivative of o(n) wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1824667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 1. Suppose 2*h = 12 - 0. Let n(o) = -o + 9. Let a be n(h). Give r(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1434504 + 3?\nAnswer: 1434511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*v + 28 = 0, 4*g - 2*v - 12 = 6. Solve 2*i + 8 = -2*p, g*p + 2 = i - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55c - 8a?\nAnswer: 4c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 27*s = -6. Is s bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + sqrt(63)\/sqrt(3))*3 + sqrt(21))\/((2*sqrt(30))\/sqrt(10)) + 5.\nAnswer: 5 + 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 5*a - 2. Let c be -8 - -12*3*4\/(-36). Let i be ((-1)\/(-4)*-2)\/(2\/c). Let u(g) = -g**2 - 3*g - 1. Suppose -6 = w - 1. What is i*j(p) + w*u(p)?\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*a + 6. Solve -10*s**2 + 0*s**a + s**2 + 5*s**2 - 15376 - 496*s + 0*s**2 = 0 for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -31 + 5*t**2 + 9 - 14*t**2 + 1 + 30*t. Let p(k) = k**2 - 2*k - 1. Let z(i) = h(i) + 6*p(i). Factor z(r).\nAnswer: -3*(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -528 - -543. Suppose -s*b + 14*b - 2*q + 5 = 0, -14 = 2*b - 4*q. Sort -3, 18, b in decreasing order.\nAnswer: 18, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26347 times -2?\nAnswer: 52694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 484, 1047, 1612, 2179, 2748, 3319, 3892?\nAnswer: 4467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75*(-540)\/1125*1\/2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 16) to base 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0155426794 rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280829 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 187 - 233 = 0. Let q be 1*(4\/(-22) - d\/33). Suppose -4*z + 6 = 2*s - s, 3*s + q*z = 0. Let j(n) = -n**2 + 3*n + 3. Give j(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 63.62942 meters?\nAnswer: 6362.942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137972852?\nAnswer: 2, 37, 433, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3055 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*u - 86 = 0, 5*p - 74 - 66 = -5*u. Suppose -4*h - p = -46. Suppose -f - f - h = q, 5*q = -25. Is f bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4*c = 5 + 11, -3*r - 16 = -2*c. What is f in 0*f + 11\/2*f**5 - f**3 + 9\/2*f**4 + r*f**2 + 0 = 0?\nAnswer: -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 4*j - 3*j - 2*j - 9 + 2*j. Let s = 317 + -310. Suppose s*o = 19*o - 11*o. Calculate p(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1389*i + 16704. Give x(12).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 2. Suppose -c + 28 = h*c. What is the remainder when c is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**2 - 5. Let g(p) = -403*p**2 + 399*p**2 - 3 + 1. Determine -5*g(b) + 2*j(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*i + 854 = -206 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**3 - 15*b**3 + 8*b**3 - 3*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -126, -209, -292, -375?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*(-1)\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 7. Let s(o) = 2*o**2 - 3*o - 3. Let i be s(3). Let z(h) = 2*h**2 + 6. Let y(a) = i*b(a) - 7*z(a). Let k(d) = d. Give y(k(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -164450 and 5.\nAnswer: -822250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.6 - 0.2. Let l be (29\/((-20445)\/94))\/(1*9\/15). Which is the closest to l? (a) -2 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.186 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 21799*c - 2384. Is b(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.47 - -3.47. Let u = 421 - 422. Let k = -0.2 - 0.8. Which is the closest to u? (a) 0.2 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2004.59 - 1949. Let t = n - 55. Round t to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = w + 21, 16 + 4 = 5*w. Suppose c*d + 3 = 28. Suppose -d*i = -i - 16. Solve -z - i = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 219a + -b5c?\nAnswer: 153d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**3 + 20*t**2 - 3*t**2 - 1 - t - 12*t**2 - 1 - 6*t**2. Let f(z) = 15*z**3 + 2*z**2 + 3*z + 5. Calculate 2*f(n) + 5*v(n).\nAnswer: -5*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgiycgzyv. Give prob of sequence czz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/27*24\/(-44)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 h when four letters picked without replacement from qhhhqqhqqhqqqqqhqq?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -424*h + 121. Is k(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 3*s. Let v(y) = 4*y + 3*y**2 + 2*y**2 - 4*y**2 - 2*y**2. Let i(o) = -4*t(o) - 3*v(o). Let r(d) = -2*d. Determine r(i(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*c = -82*c + 120. Let q = -216 + 219. Solve 4*o + c = q*x - 0*o, 0 = -5*x + o + 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -19*o + 0 - 7\/6*o**4 + 13\/6*o**3 + 1\/20*o**5 + 27\/2*o**2. Let x be h(13). Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e3eba (base 16) to base 12\nAnswer: -39030a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 449 = 361. Calculate the greatest common divisor of r and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-x + x - x**2) + 0 + 3*x**2 + 0 + 346606*x - 173309*x - 173298*x + 2*x**2 + 2405.\nAnswer: 7*x**2 - x + 2405","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 400\/(-24)*(-2)\/((-4)\/(-33)). Let d = l - 180. What is the highest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 + 144. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16211650 by -92638.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -9*q**4 + 2070*q**3 + 299185*q**2 - 1984710*q - 1455496 = 0.\nAnswer: -316\/3, -2\/3, 7, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, -10, -26, -42?\n\"Answer: -16*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12, -5, 0.09, -0.14, -1325, 3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*g = 8*g + 23, 0 = -2*g + 6. Let z = d + -8. Which is bigger: z or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*r + 130 = -397*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -17, -3.\nAnswer: -17, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 2*b**2 + b + 12. Let x be k(-3). What is the closest to -0.1 in -2\/9, x, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.91 + 0.01. Let x = b - -1.858. Let k = 1.192 + x. Round k to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7295156, 7295144, 7295130, 7295114, 7295096, 7295076?\nAnswer: 7295054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1335 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000324361826 to 6 dps.\nAnswer: -0.000324","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 - 9*i**2 + 19*i + 77. What is the hundreds digit of t(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from jiiijijiijiij?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2865 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/(1\/534). Suppose 267 = -3*i + 6*i + 4*z, -5*z = 3*i - j. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201903 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: Expand (-1 - 3*g + 1)*(0 - 4 + 5)*((5 + 1 - 4)*(-9 + 3 - 9) + 116 - 25 + 19).\nAnswer: -240*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -283 and -14287060.2781?\nAnswer: 14286777.2781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/519411715 or 0?\nAnswer: 2\/519411715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(190)*1)\/(4*-2*sqrt(10)) - (2 + ((sqrt(228) - ((sqrt(228) - -2*sqrt(228)) + sqrt(228))*6) + sqrt(228))\/(sqrt(24)\/(sqrt(2) + sqrt(18))))**2.\nAnswer: -147140 + 2811*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -124*q**9\/63 + 176*q**5\/15 + 2372*q**2. Find the third derivative of k(y) wrt y.\nAnswer: -119040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 50.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11257\/12432 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190 + 190.4. What is the second biggest value in p, 2\/9, -7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(0*n - 10*n + 3*n) + 8*n - 2*n + 3*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - 15) + (144 - 125 - 96).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = 225 - 160 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-10))\/((-2)\/215). Let c = 77 - n. What is the tens digit of 3*3\/c*-11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-24) + ((-16)\/3)\/(-1). Let h(n) = 6*n**2 - 3 - n**3 + 6 - 8*n + n. What is h(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3584 is divided by 48?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 2. Let n be p(-4). Let a(t) = -11*t**2 + 5*t - 2. Let b(i) = 6*i**2 - 3*i + 1. Let x(f) = -4*a(f) - 7*b(f). What are the prime factors of x(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640 = -18*z + 5968*x - 5976*x, 0 = -5*z + x - 181 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d - 212*d + 44*d + 12192 = -4344 for d.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0579 - -0.0421. Is y at least -10\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - 2*j**4 + 2*j**4 + (-4*j**2 - 4 + 4)*(-957*j + 957*j - 2 + 97*j**2).\nAnswer: -387*j**4 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 24 + 24)*(62 + 62 - 136).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-5))**(-21) assuming x is positive.\nAnswer: x**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 326 and 5?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(833) + 1 + sqrt(833))*4 + 0)**2 + (0 + -1*sqrt(833) - sqrt(833))*-1).\nAnswer: -213312 - 1848*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/5 + 70894*r\/5 + 567024\/5 = 0.\nAnswer: -35439, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2707 - -2735. Calculate the least common multiple of r and 96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -701 - -7067\/10. Let p be 6244\/(-3648) + (-2)\/3. Let j = -120\/19 - p. What is the common denominator of o and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 2*o - 5. Let j(u) be the third derivative of -u**3\/6 + 10*u**2. Let d(z) = 5*j(z) - w(z). What is d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/1531529 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 10 = t + 5, -7*t + 7*t - 5*v = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15612 and 20.\nAnswer: 78060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 392488 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/28 and 37\/41118388.\nAnswer: 287828716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35231438 divided by 3202858.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4293*w**2 + 133098*w - 1. Give x(-31).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fumui. Give prob of picking 1 f and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 31\/7 + 100\/(-70). Which is the closest to -2\/5? (a) i (b) -205 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:05 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112323110 + 2?\nAnswer: 112323112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*w + 1675, -w = -f + 2*w + 839. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/((i\/i**(3\/8))\/i)*i*i*i**(4\/9) assuming i is positive.\nAnswer: i**(347\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/10 and -81\/460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w**3 + 3\/8*w**2 + 1\/4*w + 0 - 1\/8*w**4.\nAnswer: -w*(w - 2)*(w + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 4. Let n be p(-3). Let z(l) = 5*l**n + l**3 + 0*l**3 - 2 + 0 - 4*l**2 - 5*l. Let f be z(4). What is f rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95216 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p + 47. Let n(y) be the third derivative of y**5\/60 + 3*y**4\/8 + 2*y**3\/3 + 23*y**2. Let h be n(-6). What is the units digit of w(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*h**3 - h**2 - 65*h**3 - 2*h - 2875*h**3.\nAnswer: -3533*h**3 - h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(19) + 0)*4.\nAnswer: -16 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182 + 194 + (-12 - 1) - -12) + 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 8928?\nAnswer: 133920","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:21 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1577679 and -27435.\nAnswer: -1605114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3576 + 3574. Which is bigger: c or -50?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -533b3 (base 12) to base 13\nAnswer: -3aa6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = q + 2*i + 8, 2*i = 85*q - 89*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 4*g - 2*g + (-4 + 3 - 1)*(-2*g - 2 + 2) - 2*g + 1 - 1 + 17 - 3*g - 17 + 2*g - 2*g - 2*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.637183 nanoseconds in seconds?\nAnswer: 0.000000009637183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 13 - 9*o**4 - 114*o**2 + 115*o**2 + 11*o + 7*o - 25*o to c*o + u*o**3 + m*o**4 + h + d*o**2 and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-21)\/(-63))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2941 and 17419543?\nAnswer: 2941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 449 + -444. What is the smallest common multiple of 9 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-8)*(-8)\/(-2). Let g be 15\/u*2 - 1. Solve 0 = 2*n + g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 7:30 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(850)*2)\/(sqrt(2) + sqrt(150)\/sqrt(3)) + (sqrt(17) + 1 + 1 + 3)**2*-5.\nAnswer: -210 - 145*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c*c**(-2\/15))**(-3\/4) assuming c is positive.\nAnswer: c**(-103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6601648 rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9842 divided by 3\nAnswer: 9842\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 365 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -u - 9, -3*b + 1822*u - 42 = 6*b + 3658*u - 1841*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.99999993 - -40. What is d rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y - 1. Calculate f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**4\/4 + d**3 + 2*d**2 + 7*d - 1. Let y(f) = 9*f**2 + 17*f + 11. Give 8*v(r) - 3*y(r).\nAnswer: -3*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1366 and -64.\nAnswer: -8.7424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(22 - 43608\/1978).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 216*z. Let k(x) = -2*x. Determine k(h(v)).\nAnswer: -4*v**2 + 432*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1\/4, 1\/37, 1.23, -5 in descending order.\nAnswer: 1.23, 1\/4, 1\/37, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.917 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dudvuudsdudsvj. Give prob of sequence dj.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2 - 7 = -2*g, -2*g = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -173, -347, -521, -695?\n\"Answer: -174*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16882 - 16781. Solve 89*w - x*w + 72 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/66414 and 123\/110690?\nAnswer: 332070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 270 = 2*q. Suppose -47*y - 73*y = 5*y - 5750. What is the remainder when q is divided by y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*r + 1. Let z(m) = m + 3. What is z(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-5 + 2 + sqrt(475))*5)**2.\nAnswer: -750*sqrt(19) + 12095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*g = -111, -3*l + l + 2*g - 42 = 0. Let r(f) = f**3 - 8*f**2 - 8. Let j(i) = -1 + 0 - i**2 + 0*i**2. Calculate l*j(u) + 3*r(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(104) + sqrt(104) + (sqrt(104) - (sqrt(104) + sqrt(104)*-1*-4 + sqrt(104)))))\/(-5*-1*sqrt(128)).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 34 = 28. Which is the closest to 13? (a) -0.2 (b) x (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**3 + 5. Suppose -5*z = -f - 126, 3*f - f = -2*z + 60. Let s = -17 + z. Let a(i) = 11*i**3 - 11. What is s*c(h) + 4*a(h)?\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 218\/14 - (-33)\/77. Calculate the greatest common divisor of m and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**6\/120 - 5*i**4\/12 + 3*i**3 - 22. Let u(w) be the third derivative of t(w). Find the first derivative of u(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h**6 - 1\/20*h**5 + 0*h**3 + 0*h**4 + 5\/42*h**7 - 25*h**2 + 0 + 0*h. What is the third derivative of k(s) wrt s?\nAnswer: 600*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18)*-9)\/((-27)\/(-45))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4488 + 4493. Solve c*s - 336 = -331 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/17)\/(g*g**(-3)))**39\/((g\/(g*g**1))**13*(g*g**(7\/2)\/g)\/(g*g\/(g*(g**(-4\/5)\/g)\/g))) assuming g is positive.\nAnswer: g**(14741\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 49146*u - 49197*u - 4 + 98130*u.\nAnswer: -213*u","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1463.633.\nAnswer: -1463.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270074.\nAnswer: 2, 7, 101, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030392119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-q - q + q)*(2*q**2 - 2*q**2 + 2*q**2) + q**2 - q**3 - q**2)*(55 + 20 + 28) to r*q**2 + u*q + x*q**3 + y and give x.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from tittftftftftt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 3*z - 2. Let j(b) = 9*b**2 - 15*b + 41. Let u(h) = j(h) + 5*n(h). Calculate u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11762285.\nAnswer: 5, 41, 181, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45.9 - -48. Let q = x - 2. Let b = q + -0.4. What is the closest to -1 in b, 2, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 775*i**3 - 4*i**2 - 4*i - 6868. Let q(o) = -2*o**2 - 2*o - 1. Let l(h) = -2*q(h) + u(h). What is the derivative of l(n) wrt n?\nAnswer: 2325*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7341.339 nanograms to micrograms.\nAnswer: 7.341339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4668, 18308, 40918, 72498, 113048?\nAnswer: 162568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -673, -5352, -18049, -42772, -83529, -144328, -229177?\nAnswer: -342084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33004860*b**5 + 9*b**2 + 4551610*b - 2 wrt b.\nAnswer: -1980291600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 73*j = 720 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.757 to the nearest integer.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 19*g**4 + 11690957 + 6*g**2 - g**2 + 3*g - 23*g**3 - 11690957 - 4*g**5 = 0.\nAnswer: -1\/4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2541037852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -5.7. Let v = -0.026 - -0.126. Which is the second smallest value? (a) 3 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w + 156*w**3 + 227*w**2 - 227*w**2 + 64 - 23 + 48 wrt w?\nAnswer: 936*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25133 + 25133.5. Which is the third biggest value? (a) x (b) 0.4 (c) 49 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613242 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 5*l - 2. Let k be t(6). Let p = -6 + 11. Suppose -1 = -k*s + p*c + 3, 3*c = 0. Calculate the remainder when 1 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) -0.034 (c) 4 (d) -4\/5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3203*t - 45 + 22 + 23 - 6532*t + 3120*t.\nAnswer: -209*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -15. Let f be i*(-21)\/(-15) + 1. Which is the closest to f? (a) 0.2 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/5)\/s)**7\/(s**(-3\/8)\/s*s)**(-5\/13))**(9\/10) assuming s is positive.\nAnswer: s**(-13779\/5200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 49*h + 192. Give w(45).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/5 + 21782*m**2\/5 - 654331*m\/5 + 632548\/5.\nAnswer: (m - 29)*(m - 1)*(m + 21812)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 54*n + 58*n + 9 - 22 = 0, -3*n + 6 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujjjjujjj. Give prob of picking 1 u and 2 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 238870657 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 229210894733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219 + 215. Let d = -8 - -6. Sort -6, j, d in descending order.\nAnswer: d, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 + 39*y**2\/4 + 41*y\/2.\nAnswer: -y*(y - 41)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s. Suppose 0*x - x = s. Suppose -4*i - p - p + 30 = x, -2*p = -2*i. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -474.3 - -2?\nAnswer: -472.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.664823 to two decimal places.\nAnswer: 115.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182019935?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-108) - 19\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 12*t - 18. Give y(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 20*l - 5*y = 8, -2*l + 2*y + 8 = 0. Suppose 73 = -l*g + 247. Calculate the greatest common divisor of 29 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 0.5, 0.03 in decreasing order.\nAnswer: 5, 4, 0.5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/6 + 2\/(-6). Let z = -1952 - -1954. What is the hundreds digit of (-1700)\/t + (-3)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108 - -108.154. Let l = s + -6.154. Which is the biggest value? (a) -1\/4 (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**2 - 3*f**2 + 3*f**2)*(10*f**2 + 10*f**2 + 13*f**2) + 2*f**4 - f**3 + f**3 to x*f**4 + b + o*f**2 + h*f + g*f**3 and give x.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 - 5782*b.\nAnswer: -b*(b + 17346)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(4\/3)*l)\/l)\/l*l*l*l*l**(-8)*(l**20*l)**(-18))**(-45) assuming l is positive.\nAnswer: l**17220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 116737622.\nAnswer: 3\/116737622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g*q**2 + 99*g*q*t + 19*g*q - 169*g*t + 2*g - q**2 + 12*t + 1 wrt q?\nAnswer: 6*g*q + 99*g*t + 19*g - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 53*j**2 - 58*j + 306. Give o(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68*o + 124 + 19*o**3 - 68*o - 19 wrt o.\nAnswer: 57*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -271 equal to -269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 47*i**2 + 416*i - 292. Give v(-37).\nAnswer: -1994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 52*y**4 + 10*y**2 - 4*y - 37. Let u(t) = -156*t**4 - 28*t**2 + 11*t + 110. Let f(m) = 11*h(m) + 4*u(m). Differentiate f(b) wrt b.\nAnswer: -208*b**3 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - b - 2*b**4 - b + b - 2*b**4 + (-2*b - 4*b + 7*b)*(-b - b**2 + b)*(-6*b + 0*b - 23*b) to the form g*b**3 + o*b + m*b**4 + r*b**2 + l and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 9*d**2 - 14*d + 12. Let v be l(7). Let c(o) = -20*o**2 + 6*o**2 + 8*o + v + 15*o**2. Give c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -14. What is the nearest to 1 in 5, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*r = 2, -3*r + 12 = -5*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 - 3*i**5 - 4*i**5 + (-i**3 + 3*i**3 - 3*i**3)*(0*i**2 - i**2 + 3*i**2) - 2*i**5 + 1 - 1 + (-37*i**5 + 5*i**5 - 65*i**5)*(0 + 0 + 1).\nAnswer: -106*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -712, -717, -722, -727?\n\"Answer: -5*z - 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 32, 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1929 divide 43055280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 2. Let i(p) = -p**2 - 3*p + 3. Let c be i(j). Find the second derivative of -4*y + c*y**3 - 5*y + 4*y wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58.825258951 - -2628\nAnswer: 2686.825258951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 453, 452, 451, 450, 449?\n\"Answer: -a + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 6 = 14*d. Suppose 3*b + 2*g - 14 = 0, -g + 4 + 4 = 2*b. Let v(q) = -5*q + q + d*q + b - 3. Determine v(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-1)\/(8\/(-144)))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.398527um in nanometers?\nAnswer: 3398.527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.07, 0.1, 0.6, -5, 1256?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let a(c) = 19*c + 10. Suppose -21*r - 442 = -64. Let w(x) = -66*x - 36. Let d(z) = r*a(z) - 5*w(z). What is -6*d(b) + 78*o(b)?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 11 - -20 - (-8 - (-15 + -21))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -61.45149, 3\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, e: 5}. Give prob of sequence iiie.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 21*r**2 - 3*r + 7. Is q(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20220011 + 12?\nAnswer: -20212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4115686405 to the power of 1\/2, to the nearest integer?\nAnswer: 64154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115907 is divided by 3046.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3165223*k**2 - 1381318*k + 4?\nAnswer: -6330446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 - 96. Let l(i) = y + 3*i**3 - 2*i**3 - 90. Determine l(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3524.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75181 is divided by 15030?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*l - 25, -4*l + 6*l = -4*k + 10. Suppose 0 = 2*t + t - 36. Let s = 20 - t. Solve 1 = -2*j + 4*i - 1, j + 5*i + s = k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 9*c**2 - 12*c + 44. Calculate the remainder when 34 is divided by h(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) -7.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 2:40 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 7.3, 1, 0.1, 8\/5, 0 in descending order.\nAnswer: 7.3, 8\/5, 1, 0.1, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 4\/27, 1\/68, 2\/7 in increasing order.\nAnswer: -2\/9, 1\/68, 4\/27, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8869*i**2*u**2 - 2*i**2*u - 8*i**2 - 2*i*u + 1066*u wrt u?\nAnswer: -17738*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by 228419?\nAnswer: 47\/228419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*u - 1981 - 3152 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4 - 363*j**3 + 11160*j**2 - 10800*j = 0 for j.\nAnswer: 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 6. Let x(m) = m**2 + m + 2. What is the smallest common multiple of 18 and x(o)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 4\/((-30336)\/13150). Let c = 61747\/1326963 - 2\/16797. Let w = c + a. Calculate the common denominator of w and 15\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/17 and -29\/86?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15426*p - 73. Is l(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.149? (a) -6 (b) 5 (c) -5918 (d) 3 (e) 2\/3 (f) 1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 3, h: 6, b: 1, m: 2, f: 1}. Give prob of sequence mb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 35 - 31, 5*v = -2*r + 4473. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1892 and 31\/40470826.\nAnswer: 80941652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11403748 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 79 = -q - 48, k + 29 = -2*q. Let p be 68\/18 + k\/((-2025)\/18). Solve t + p = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32331320323 - -121?\nAnswer: -32331320202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005986 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17)*j**17*j)\/((j**(5\/7)\/j*j)\/((j*(j\/(j\/j**(-6\/7)*j))\/j)\/j)) assuming j is positive.\nAnswer: j**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 + y + 1. Let f(i) = -2*i**2 + i + 1. Let r(z) = -f(z) + v(z). Let d(q) = 9*q**2. Calculate d(r(p)).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72332873?\nAnswer: 29, 2494237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136.5982 - 0.5982. Let f = 8 - 5. Which is bigger: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 2:04 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4) + 0 + -10 + 12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*k - 63*k - 24 = 0. Suppose -3*q + k = 2. Which is smaller: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1804*z - 46917. Give u(26).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 96 = 4*t. Suppose -11*g + t*g - 180 = 0. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l**3 + 4*l**3 - l**3)*(-13 - 5 + 5) to a*l + u*l**3 + g*l**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + (-6 - -2))\/(-2). Solve z = -2*c + c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2 = -f, -3*q + 2*q = -5*q + 649 - 633 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 + 36 + 35 - 211 + 3*g + 10.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/(-7))\/(-4))\/((40\/3)\/(-10))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26169, -26170, -26173, -26178, -26185, -26194?\n\"Answer: -g**2 + 2*g - 26170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1089 or -13946?\nAnswer: 0.1089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 - 22*h**2 - 9*h - 10. Let m be x(-7). Solve 10*j + m = 8*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.9201 rounded to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19729829 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 11:52 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, k: 1, z: 2, e: 3, x: 2, s: 1}. Give prob of picking 1 e and 3 f.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6714*b**3 - 6713*b**3 - 6709*b**3 + 20137*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - -6)*2\/(-74). Let r = j - -172\/259. Let g = -0.22 + 0.02. Sort -5, g, r in decreasing order.\nAnswer: r, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12*5)\/(4\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 1. Let h be q(1). Let u(v) = v + 1. Let n(w) = 4*w. Give h*n(b) - 2*u(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/17)\/((-858)\/(-14586)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 518 + 2*q**4 - 4*q - 573*q**5 + 38*q**3 - 37*q**3 + 419*q**5 + 48 wrt q?\nAnswer: -3080*q**3 + 24*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mddm when four letters picked without replacement from dmdddm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1071 = 2*g - 5*g, 2*g - 210 = -w. What is the highest common divisor of w and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -329*j**3 - 3*j + 274*j**3 - 1 - j**2 - 1. Let d be o(-1). Which is greater: 53 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440493253.\nAnswer: 2917, 151009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4\/12)\/((-1)\/33)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 10*p. Let j(v) = -1238593*v. What is j(d(f))?\nAnswer: -1238593*f**2 - 12385930*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3 + 40*t**2 - 100*t = 0 for t.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7466 (base 13) to base 5\nAnswer: -1004024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + c**3 - 2*c**3 + 5*c in the form k*c**3 + t + m*c + f*c**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 9:28 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:55 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12401*k - 12408*k + 24806*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 5*y. Let a(j) = j**3 - j**2 - 3*j - 3. Let g be a(3). Let q(i) = -24*i**2 + g*i - 6*i + 22*i**2. Give q(w(u)).\nAnswer: -2*u**4 - 20*u**3 - 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 3:55 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -48\/14141?\nAnswer: -48\/14141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1*(2 - -8). Let m = d + 21. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 32*t + 54. Is 6 a factor of m(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 14) to base 12\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 12. Let f be m(7). Suppose 5*x - f*k - 468 = -k, k = -5*x + 483. Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122191 and 781?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 99*m - 110*m - 7*m. Let f(w) = -13*w + 32*w - 6*w - 15*w. Calculate f(a(t)).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 34.99. What is the second biggest value in 0.4, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18318 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -558000 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l, -7*z + 1275 = -2*z - 4*l. Let d be z\/(-10)*(-44)\/(-3). Is -4*(-1 - d\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2. Let a(y) = 9*y + 41. Let v(o) = a(o) + 3*i(o). Let u be v(-5). Find the second derivative of -2*g**2 - 4*g**u + 6*g**2 - 31*g**3 - 7*g wrt g.\nAnswer: -186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 4*m**2 - 6*m + 3. Let s = -62 - -70. Suppose 3*y + 35 = s*y. Does 36 divide l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29355 is divided by 29350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-48)\/236))\/(138\/207*(-3)\/8)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6726508 to the power of 1\/2, to the nearest integer?\nAnswer: 2594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3697 + 519. Suppose 5002 = 3*k - 3*p + 1831, p + r = 4*k. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/10)\/((-139)\/4865 + (-8)\/(-35))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f - 4*i + 124 = 0, 5*i = 25. Let s = 36 + f. Solve 4 = 2*j + s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3 - 3*x**2 + 4*x - 2. Let p be g(1). Suppose -2*r - 12 = -4*y, y + 4*r = p*y + 6. Suppose -6*v - y = -5. Solve v = -2*n - 3*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - 0. Let z = y + -0.1. Let v = -1 - z. What is the third smallest value in -2\/3, v, -3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqmhzfmkhqqzhzmq. Give prob of sequence hf.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 110 - ((65 - 8) + -22)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*c - 3*c. What is the closest to 1 in c, -0.5, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 5*r**4\/12 + 99*r**2. Let p(n) = -2*n**2. Determine g(p(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i. Let x(l) be the first derivative of 87*l**2\/2 + 9017. Determine h(x(y)).\nAnswer: -174*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-22)*270\/(-90)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 174*o**3 - o**2 + o**2 - 88*o**3 + 3*o**3 - 3*o**3 + 2*o**3 + (2*o**3 + 3*o**2 - 3*o**2)*(0 + 2 - 4).\nAnswer: 84*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w - 8. Let v be u(6). Let x(i) = -i + 14. Let q be x(0). What is the greatest common divisor of v and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 143*g**7\/6 + 659*g**4\/4 - g**3\/3 + 3*g - 682. Find the third derivative of k(h) wrt h.\nAnswer: 60060*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2940 - 35 = 7*s. Let q = 441 - s. What is the greatest common divisor of 338 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43222 (base 7) to base 12\nAnswer: -6277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - k - 31 = -2*k, k + 17 = -t. Let z = 14 + t. Solve -z*h - 5*g = 0, -g = -h + g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/18 in -2, -19\/11, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -128, -252, -432, -674, -984, -1368?\nAnswer: -1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*76254\nAnswer: -213511.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -324110 (base 5) to base 9\nAnswer: -16264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 2:43 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:14 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 14 = 2*y - 4*y, -5*y + 311 = -3*q + 4*q + 284 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8 - 3 - 31*j + 3*j**2 - 36*j + 7*j**3 + 69*j. Suppose 0 = s + 22 - 36. Let t(h) = 20*h**3 + 8*h**2 + 6*h + 14. Determine s*o(r) - 5*t(r).\nAnswer: -2*r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*(2*sqrt(133)*3 + sqrt(133)))\/((sqrt(847)*2 - sqrt(847))*-4 - sqrt(847)))**2.\nAnswer: -14*sqrt(19)\/55 + 3956\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y + 41*y + 91 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 941*q - 962*q + 69, -2*p + 3*q = -0*q + 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = 30. Suppose f = -u - 9, 3*u + 2*f - y + 32 = 0. Let z(a) = -a**3 - 3*a**2 + 7*a + 3. Let k be z(u). Solve -k - 2 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 2. Let x(c) = c + 8. Let w be x(-6). Let b be m(w). Suppose 0 = -3*a + a + 4*i - 24, i = 5. Are b and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f + 1066 + 11*f - 1067 - 12*f. Determine m(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/6*56\/6*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-9 - (9 + -11))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -13. Let -84*d**2 - 80*d + 2 - f*d**3 + 30*d**4 - 18 - 2*d**4 + 12*d**3 = 0. Calculate d.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-4)*24\/(-9). Is ((-268)\/m)\/(4\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.9474 millennia to years.\nAnswer: 80947.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -82, -61, -22, 41?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 163 + 92 = 0. Let d = 82 - a. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.716029ug to tonnes.\nAnswer: 0.000000000007716029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 828 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12246*y + 6123*y + 4*t = -6119*y + 32, 12 = -24*y + 4*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/627 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/20*480\/(-64) - 3\/2. Sort -154, y, -6\/5 in ascending order.\nAnswer: -154, -6\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/5, -0.1, 6\/5, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*9)\/(-3) - 221\/68.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p + 4545 = -5*p - 14*p + 46*p for p.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 2*x + 3*x)*(4*x**2 + 2*x - 2*x)*(-3*x - 2*x + 4*x)*(2 - 2 - 2).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 u when four letters picked without replacement from aaeuaeuaeaaeaauua.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 311146 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12832695.\nAnswer: 3, 5, 19, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Let w(f) = 31*f - 14. Let a(g) = 6*g - 3. Let v(h) = -11*a(h) + 2*w(h). What is k(v(d))?\nAnswer: 4*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4.00000275. What is a rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**2*x**2 - 4635*p*x**3 + 2*x**3 - 473*x + 14 wrt p.\nAnswer: -2*p*x**2 - 4635*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -1418679?\nAnswer: -1418681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 65) + (9 - 14)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20867*155\nAnswer: -3234385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b**5\/2 + 270959*b**4\/2 - 662381*b**3\/2 + 511849*b**2\/2 - 60218*b = 0. Calculate b.\nAnswer: -30109, 0, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19 - 0.3. Let a = 14.07 + -14. Let p = f + a. What is p rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(-2037*85\/8925)\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Let i be 24\/(-2) + (0 - l). Let c be 6\/i + 187494\/(-15). What is c rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -40*v**3\/3 + 7562*v. Let p(f) = -3*f + 9. Give b(p(q)).\nAnswer: 240*q - 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -15*k - 2. Let b(t) = t**2 - 48*t - 192. Let i be b(-4). Let l(f) = -60*f**2 - 16. Let s(d) = 4*d**2 + 1. Let h(g) = i*s(g) + l(g). What is w(h(q))?\nAnswer: -60*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -db15 (base 16) in base 4?\nAnswer: -31230111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - 2*k**2 + 6*k**2 + (-3 - 2*k + 3)*(-k - 7*k + 2*k).\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 plus 908?\nAnswer: 910.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/8 + 1371*h**2\/4 + 2721*h\/8 - 8217\/4.\nAnswer: 3*(h - 2)*(h + 3)*(h + 913)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5 - 6. Solve -2*q + q - o = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/(-60))\/(((-4)\/(-21))\/(-2)). Suppose -a*c - 655 = -2433. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -718 (base 16) to base 15\nAnswer: -811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:16 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -21. Let j = 9 + f. Solve 5*r = -0*r - j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 34 + -7 + 0 + 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/6, 2075, 9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/33)\/((-18)\/(-1584)*42).\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 - 3)*(-4 + 0 + 2) + (5 - 2 - 2)*(-1 + 4 - 2) - 7 + 2 + 3)*(-8*z**3 - 5*z**3 + 4*z**3) as j*z**3 + r*z**2 + v*z + o and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.3, -1854, 0.1 in descending order.\nAnswer: 0.1, -0.3, -3, -1854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + 35*m**4 + 36*m**4 + (-m + m - 2*m**2)*(-2*m + m**2 + 2*m).\nAnswer: 66*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 128\/(-2496) - (-1 - 1)\/((-39)\/389)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/12 + 71\/3. Suppose -n = -3, -2*n = 3*b - 3*n - 21. What is the highest common divisor of q and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {b: 9, v: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 times -1.831?\nAnswer: 0.080564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4224020189 to the power of 1\/2, to the nearest integer?\nAnswer: 64992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338338 by -14.\nAnswer: 24167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 3*s + 4. Let o(d) be the second derivative of -d**3\/6 + d**2 - 2*d. Let f = -3 - -1. What is f*b(t) + 5*o(t)?\nAnswer: 2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 5*p**2 + 5*p - 6. Let h be l(-6). Suppose 0*r - 3*r - 9000000 = h. Round r to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5381442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 231, -173, -5, -26, 0 in decreasing order.\nAnswer: 231, 0, -5, -26, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8794494661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -493*i - 18. List the prime factors of n(-4).\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148587*k**3 + k**2 + 7*k - 3864.\nAnswer: 891522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54.84 - 2.16. Let s = -85 + 140. Let g = s + l. Which is the third biggest value? (a) g (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2905*i**4 - 12*i**2 + 10*i - 1912. Let f(d) = -11619*d**4 + 54*d**2 - 45*d + 7649. Let u(p) = 9*c(p) + 2*f(p). Differentiate u(q) with respect to q.\nAnswer: 11628*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1639780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/15 + (-3)\/63. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q - 16 = -3*f, 0 = 5*f + 3*q + 5. Suppose 141 - 21 = f*c. Suppose -2*j = 7 - 47. What is the highest common divisor of j and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/436 (c) -3 (d) -587121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*n**2 + 2726*n**2 + 1669*n**2.\nAnswer: 4086*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4378 + -69979\/16. What is the common denominator of u and -83\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2899)\/2676)\/((8\/48)\/(-1)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1525*d**2 - 20 - 1525*d**2 - 36*d**3 + 20.\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from qgrea.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**4\/24 + 4*i**2 - i + 134. Let j(o) = 4*o + 8. Calculate -j(t) + 6*x(t).\nAnswer: 2*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.86 * -212.\nAnswer: -182.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182705935 to the nearest integer?\nAnswer: 13517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.018909*-0.5\nAnswer: -0.0094545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/105*6\/(-4))\/(-1). Which is the third smallest value? (a) 1 (b) -2 (c) o (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (74 - 2) + -1 + -4. Suppose 3*v - r = 38. What is the greatest common divisor of 20 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 434.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 449*t**2\/2 + 225*t.\nAnswer: -t*(t - 450)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2550.2309 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/2*(-8)\/(-3). Let t = m - -26. Let c = 16 - t. Solve c*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 2, u: 4, i: 1, g: 2}. Give prob of sequence gi.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142933868?\nAnswer: 2, 7, 11, 23, 20177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3135*z - 286. Is j(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 45*q**2. Let t(u) = -19*u + 43*u - 41*u. Calculate t(l(f)).\nAnswer: -765*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 6. Let o = -1.8069 - 0.1931. Let b = o - l. Is -1.1 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.955316mg in grams?\nAnswer: 0.009955316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55546338 to the power of 1\/2, to the nearest integer?\nAnswer: 7453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8107 = 30*p - 19*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/7 - 12*d**3\/7 - 24*d**2\/7 + 16*d + 192\/7 = 0. Calculate d.\nAnswer: -2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + j**3 - j**3 - 2*j)*(j + 0 + 0).\nAnswer: j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34349.\nAnswer: 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-3 + 17 + 7 + -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-33))\/((-98)\/49)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(95) + -2*sqrt(95) - sqrt(95) - sqrt(95)))\/(sqrt(720)*2) + ((sqrt(76)*1*-3)**2 - (-3 + -2*sqrt(76))).\nAnswer: 13*sqrt(19)\/4 + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*d + 29*d + 37*d + (-6*d + 3*d + d)*(3 - 2 + 1) in the form n*d + f and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -1.1. Let w = 0.7 + 4.3. Which is the nearest to 1? (a) w (b) f (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5810?\nAnswer: 2, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2922911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 - -158. Let p = l + -67. Let w = -1.96 - 0.04. Which is the closest to 0.1? (a) -5 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8 + 7*z - 6 - 2 + z**2 + 0*z. Let h be c(-9). Solve 5*v + 5*x + 12 = 2, -x - 2 = -h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110884*-8.9.\nAnswer: 986867.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.19657 and -74.\nAnswer: -74.19657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 304824*b**3 + 2*b - 70938*b**3.\nAnswer: 233886*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*c + 528 - 1977 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1439911015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-1\/7)*f))\/f)\/f)\/f**(-3)*(f**0\/f*f)\/f*f*f**(-3\/2) assuming f is positive.\nAnswer: f**(-5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258248544, 258248556, 258248592, 258248664, 258248784, 258248964, 258249216?\nAnswer: 258249552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*f - 0*f, -f = -5*c + 55. Calculate the remainder when (10\/4)\/(3\/42) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*h**2*j*u**2 + 163*h**2*j - 637*h**2*u**2 - 2*h*j*u**2 + 2*h*j*u - 2*h + 17*j wrt u?\nAnswer: 40*h**2*j - 1274*h**2 - 4*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1252 (base 16) to base 10\nAnswer: -4690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 131 - 16. Let d be 2\/4*(o + -1). Suppose d = -f + 50. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 99722002 from 114206.\nAnswer: -99607796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*p + 15, 0*p + 4*p = -3*l - 7. Suppose 3*k = -5*h - k + 48, -p*k = -h + 4. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {e: 3, a: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-71)\/(-3) + (-38)\/57 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.26. Let l = 1111.5 + -1111. Which is the third biggest value? (a) l (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7857 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -82 and 36.804743.\nAnswer: -45.195257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8*l**5 + 20*l**4 + 22*l**3 + 10*l**2 + 2. Let s(n) = -33*n**5 - 79*n**4 - 87*n**3 - 41*n**2 - 9. Let y(c) = -18*m(c) - 4*s(c). Solve y(u) = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -70, -191, -312, -433, -554, -675?\n\"Answer: -121*u + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50520131.\nAnswer: 4289, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*v - 10, 0 = -4*v + 2*r - 4*r + 12. Put -6, 3, v in increasing order.\nAnswer: -6, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*i + 1242 - 1242 + 2*i**3.\nAnswer: 2*i**3 + 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 0*f + 2*f)*(3*f + 0*f**4 - 21*f**4 + 20*f**4).\nAnswer: 2*f**5 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/7*16\/(-480)*63\/357?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.52423709 to two decimal places.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 119533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20556?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -18*t - 6. What is the least common multiple of 30 and x(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(126)*3 + (sqrt(126) - (sqrt(126)*-1 + sqrt(126) + sqrt(126)))*-2)\/(sqrt(8)\/(sqrt(4)*2*-4)*2).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a + 4 - a + 8*a + 0*a - 2*a**3 - a**2 as n*a**3 + j + z*a**2 + o*a and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.31 to the nearest integer.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*u**2 - 4*u - 3 + 3*u - 35*u**2 in the form n*u + z*u**2 + m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 22*z**2 + 90*z + 9. Let o(j) = -j**2 - 10*j - 1. Let x(a) = -k(a) - 9*o(a). Let l(d) = -33*d. Calculate l(x(h)).\nAnswer: 429*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:37 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*v**6 + 11*v**2 - 2*v**6 + 2*v**6 wrt v?\nAnswer: 1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.62044 plus -0.07?\nAnswer: -18.69044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-68)\/6)\/(17 + (-600)\/36). Let j(c) = -c + 2. Let g(s) = -6*s + 12. Determine b*j(w) + 6*g(w).\nAnswer: -2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3903975*k - 11711933*k + 3903976*k + 3903982*k - 39*k**3.\nAnswer: -39*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (24 - -10) + (-2 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67610, 67609, 67608, 67607, 67606?\nAnswer: 67605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20558263?\nAnswer: 11, 71, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 5. Let g be o(-6). Let w be 10\/(-10)*(-109 - g). Calculate the highest common divisor of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41923*t = 5*n + 41919*t + 44, 5*t = -5*n - 35 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 31 + 22 + 2*l**2 + 6*l**4 as h + a*l**4 + q*l**3 + v*l + p*l**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, -222199, 0.13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 518 - 7249\/14. Let w = 80\/7 + -11. Put a, 0.3, w in decreasing order.\nAnswer: w, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-18 - -2)\/(8\/(-48))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 116351.13 months?\nAnswer: 96.959275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/12*-3*-2. Let x(l) = -5*l**2 + 8*l. Let c = 1 + -3. Let w(s) = 6*s**2 - 9*s. Let z(o) = c*w(o) + f*x(o). Solve z(j) = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**3*m**2 + 14*c**3*m + 52*c**3 - 349*c**2*m + c*m + 2*m**2 + 7*m wrt c.\nAnswer: -36*m**2 + 84*m + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 5*u + 23, -20*u + 23*u + 29 = 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 6 + 3\/4*j**4 - 8*j**3 - 54*j + 63\/2*j**2. Factor n(x).\nAnswer: 3*(x - 3)**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176 + 221. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - y + 2*y - 2465 = 0, 5*y - 1457 = -3*f. Let m = -352 + f. What is the remainder when 51 is divided by m\/8 + 2\/8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 40186.17 minutes?\nAnswer: 27.9070625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + f. Suppose a = -2*g + 4 - 19, 2*a = 4*g + 10. Let o(r) = -3*r**2 - 4*r. Calculate g*o(p) - 20*b(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*l - 14*l + 15*l - 10*l.\nAnswer: 61*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*r = -243*r + 60 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 435 and 1605585.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122234111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z - 1\/3*z**3 - 5\/2*z**2 - 1\/20*z**5 + 0 - 1\/2*z**4. What are the prime factors of u(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*m - 5*r, -r + 1 = 5*m - 11*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5382)\/115*40\/(-6) is divided by 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = 0, o - 2 = 4*i - 3. Let v = 14 + i. What is the remainder when 23 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112875630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 5, d: 1, o: 3, v: 4, t: 5}. What is prob of picking 1 o and 1 y?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 35 = 4*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5 - (1 + 1))\/((-214)\/((-23968)\/(-3920))).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -16*h + 24. Let n(f) = -f. Let q(b) = 9*b - 5. Let m(i) = -6*n(i) - q(i). Let r(p) = 11*m(p) - 2*z(p). What is the units digit of r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 43. Let c = d + -52. Let o = 56.000073 + c. What is o rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9915\/26 or -1\/2?\nAnswer: -9915\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-27))\/((-1)\/(12\/2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Let w = 20 - 8. Suppose 4*f - z + 6*z - 48 = 0, f + m*z - w = 0. Solve 2*j - f = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and 0.24.\nAnswer: -10.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9806 - 1134?\nAnswer: 8672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c + 3*f - 96, 192 = 4*c + f. Let o = c - -83. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326527524.\nAnswer: 2, 7, 103, 459961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(114)*2)\/(-1*sqrt(54)) + (1*((0 + sqrt(19))*4 - (sqrt(475) + -2)))**2.\nAnswer: -2*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/107415)\/((-41)\/(-1271)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 33525*z + 1810351. What is t(-54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17998291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 22. Suppose 690 = m - 2*w, 1937*m - 1376 = 1935*m + 3*w. Calculate the greatest common divisor of j and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, -8, 3 in descending order.\nAnswer: 17, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (472\/(-28))\/2*(-3134)\/(-10). Let d = o + 2642. What is the common denominator of 63\/25 and d?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5343 (base 7) to base 15\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.598602 - -0.2?\nAnswer: -25.398602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 2. Let d be (-6)\/(-4)*17\/(408\/(-16)). Let f(w) = w + 1. Determine d*j(g) - f(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 8 = -8*x. Which is bigger: 28\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-27)*(-9)\/(-6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/5 (b) 1 (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1289, -7503, -18669, -34787, -55857, -81879?\n\"Answer: -2476*w**2 + 1214*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6217*17.85.\nAnswer: -110973.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -22*p + 1. Let o(r) = -15*r + 1. Let l(f) = 3*f**3 + 11*f**2 - 5*f + 1. Let d be l(-4). Give d*k(v) - 7*o(v).\nAnswer: -5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*u - 132 = 59*u. Find the third derivative of -45*c + 20*c**2 + 42*c**3 + u*c + 23*c wrt c.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3538, -3524, -3508, -3490?\nAnswer: -3470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 7*u - 3. Let f be b(-6). Suppose -f*d = -0*d + 3*h + 9, -4*d - 3 = -5*h. Let n(k) = 9*k**2 + 4*k + 3. Is n(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10*p - 105. Let r = -31 - p. Let w = r + 15. What is the greatest common factor of w and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/9)\/((1430\/(-66))\/(-13))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8200\/(-7175)*(-56)\/(-6)*6\/(-4)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.546 + 1.503. Let f = s + 0.043. Which is the closest to 3? (a) -1\/4 (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*k - i + 1 = 0, 3*k = 4*i - 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 4) to base 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -2244169.\nAnswer: 24\/2244169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*y = 2*u - 36, 5*y = 5*u - 5. Suppose t + 51 = u*a, -a = 5*t - 4*t - 9. What is the remainder when 19 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4847, 9852, 14857, 19862, 24867?\nAnswer: 29872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnnn when four letters picked without replacement from {n: 8, v: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-1))\/s*s)\/s*s*s)**(-35)*(s*s\/s**(-4))\/(s*s\/(s**(2\/5)\/s)))**7 assuming s is positive.\nAnswer: s**(-1106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f*f\/(f\/(f*f*f**5))*f)))*(f**(1\/13)*f)\/f*f*f)\/((f\/((f\/(f**(-1\/4)\/f))\/f)*f)\/(f*f*f\/(f**13*f*f)*f)) assuming f is positive.\nAnswer: f**(-919\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 171*q**2 + 2*q - 7. Is m(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40102, 80237, 120410, 160639, 200942, 241337, 281842?\nAnswer: 322475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -6. What is the tens digit of 13*(-1 - -2) - u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 21*j**2 - 637*j + 6609. Determine i(10).\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10870 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2b538 (base 15) to base 14\nAnswer: 38c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -1 (c) 2\/5 (d) 0.371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-238)*-1*4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 540\/162*18\/10. Let u(l) = -l**2 - 25*l + 191. Let k be u(o). Let f(v) = 3*v + 1. Calculate f(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2100301330?\nAnswer: 2, 5, 1429, 146977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -125 in 15\/104, 0.1, 5\/6, -17\/2?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:02 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 4) in base 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/18*(-4089)\/(-6815))\/(8\/3)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 6 - 6)*(9 - 28 - 21) + (-4 - 1 + 4)*(-3 + 6*b + 3).\nAnswer: 114*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 8*m = -5. Suppose -474 = -5*z - 3*k - 0*k, m*z - 488 = 4*k. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1605 + 201 = -3*n. Suppose 23 = 24*i - 313. Is i\/(n\/904 - 2\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 3*j - 3. Let w(q) = 13*q + 41. Let b be w(-3). Let l(a) = -a + 8*a - 30 + 66 - 29 - 4*a**b. Determine 5*f(v) + 2*l(v).\nAnswer: 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 20 = 0, -h - 3*x - 109 - 3869 = 0. What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n**5 - 2*n**5 + n**3 + n**5.\nAnswer: -n**3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**2 + 0*x + 0*x**3 - 49\/120*x**6 + 7\/30*x**7 + 0 + 1\/6*x**4 - 1\/15*x**5. Determine o, given that u(o) = 0.\nAnswer: -2\/7, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183 is divided by 1183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 6, -3\/8, -1, 1.05?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 238141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 309745303 a multiple of 2073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15590 by 2907.\nAnswer: 15590\/2907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**34)**(-32) assuming x is positive.\nAnswer: x**(-1088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 6:42 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**3\/3 + 24*i**2 - 128*i + 512\/3 = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346 - 334. Let o = 6 - 13. Let m = q + o. Which is the third biggest value? (a) m (b) -6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 6\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 16) in base 9?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 12:22 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 9*z**2 - 21*z - 8. Determine i(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 + 44 = -5*t. Calculate the greatest common factor of 81 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3781090 + 2698922. Let l be 2\/3 + (-20)\/3. Let h be v\/l - (-2 + 0). What is h rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -220.1646 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2560 and 45768.\nAnswer: 14645760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44047*h**4 - h**3 - 13*h**2 - 12939943*h?\nAnswer: 528564*h**2 - 6*h - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 + 1 + z - 5*z**2 - 2*z - z**2. Let t(w) = -6*w**2 - w + 3. Let v(o) = -3*b(o) + t(o). Find the second derivative of v(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - -4.99. Let s be 1\/(-5) - (-2)\/(-15). Which is the nearest to s? (a) 0.5 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -4. Let b be (35 + -34)\/((-3)\/(-30)). Let v(m) = b + 16 + 4*m**2 + w*m - 3*m**2 - 22. Determine v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8635*t**2 - 11503*t + 11503*t.\nAnswer: 8635*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 309785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s = -8. Suppose s*h + 2 = -2, -g - h = 0. Solve g*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 8, 47*b = -3*u + 43*b + 22. Suppose 0*m - 2*m + 30 = 0. What is the greatest common factor of m and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**5\/11 + 4356478*z**4\/11 + 2372360392316*z**3\/11 - 2372373461760*z**2\/11 - 4744729497600*z\/11 = 0.\nAnswer: -1089120, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (3 - (0 + 5)). Suppose 2*j + 3*j - 12 = -l, 60 = w*l + 3*j. Let z = -10 + l. Calculate the least common multiple of 3 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -25 in decreasing order.\nAnswer: 5, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((5*(2*sqrt(225) - sqrt(225)) - sqrt(225))*-6)\/(sqrt(10)\/sqrt(18) - (sqrt(80)\/sqrt(2))\/sqrt(8)).\nAnswer: 2 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 3381679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*y - 20*y + 2*l + 10, 7*l + 23 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-65)\/(-30)*5*(180\/15)\/4.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, -2, 0 in ascending order.\nAnswer: -2, 0, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 180*l - 3. Let q(f) = 18361*f - 305. Calculate -3*q(z) + 305*v(z).\nAnswer: -183*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -79 * 2.2\nAnswer: -173.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqnqqjaqnn. What is prob of picking 2 q and 2 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15570*(12\/32)\/(3\/(-36)). Suppose -27*x = -66636 - q. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601 is divided by 538?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -327*r + 26. Let q(x) = x - 3. Let b(k) = -i(k) - 5*q(k). What are the prime factors of b(1)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/17 (b) -2 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101 + 215 - 4*c + 9*c**2 - 164 to u*c**2 + j + k*c and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**3 - 7. Let v(s) = 3*s**3 + 6. Let l(i) = -i**3 - i**2 + i - 1. Let f be l(0). Let r be (f - -5)*(-6)\/4. What is r*g(n) - 7*v(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -2 + 6 - -2 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6382212?\nAnswer: 2, 3, 97, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*h**2 + 42*h**2 + 41*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (38 - 35)) + -1 + 2 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 5*n + 32 = 0, -5*t - 2*n + 3 = -9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -27.5?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4864618659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.120671 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - w**3 - w**3 + 2*w - 2*w**3 - 2*w + (-2*w**3 + 2*w**3 + w**3)*(-2 + 0 + 3))*(-185*w - 187*w - 26*w + 116*w).\nAnswer: 564*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130551194?\nAnswer: 2, 17, 131, 29311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3701*n - 1479. Let b(s) = -3702*s - 1419. Let o(t) = -2*b(t) + 3*g(t). What is the derivative of o(c) wrt c?\nAnswer: -3699","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 4. Let r(t) = t**3 + 6*t**2 - t + 5. Let w(d) = -d**3 - 6*d**2 + 2*d - 6. Let z(c) = -7*r(c) - 6*w(c). Determine z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from {y: 7, p: 2, m: 1}?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 10 + 1192*z**3 - 1194*z**3 + 70*z to a*z**2 + d*z + x*z**3 + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 1. Let i be r(-1). Suppose i = -9*j + 8*j + 10. What is the remainder when j is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1615605 + -2?\nAnswer: 1615603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/35)\/(6\/42). Let b(g) = 5*g**2 + 3. Let v(s) = s**2. Determine a*v(x) - b(x).\nAnswer: x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3)\/(23072\/(-6)). Let h = 22711\/5768 - q. Calculate the common denominator of -13\/4 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -357*q + 85. Let p(x) be the second derivative of 17*x**3\/6 - 2*x**2 + 2*x + 69. Give -85*p(d) - 4*w(d).\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2 + sqrt(98)))**2 + sqrt(98) + sqrt(98) + (-4 + sqrt(98) + -2)**2)*-4.\nAnswer: -10736 + 3080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 y when three letters picked without replacement from qyywywwywywwyy?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14\/4*(36\/21)\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -22*i + 1. Determine b(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - -100. Let g = 6 + m. What is the remainder when 101 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4464*q - 48 + 579*q + 48)*(3 + q - 3) to z*q + a + y*q**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuuuuccu?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 - 106167*c**4 - 3*c**3 + 1982778*c wrt c.\nAnswer: 20*c**3 - 1274004*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 9*d**2 - 16427*d + 131354. Give p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jub when three letters picked without replacement from {k: 2, u: 1, j: 2, z: 2, b: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4897 + -19609\/4. Sort i, -0.1, -2\/7 in increasing order.\nAnswer: i, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.24 at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/2*-6*-7. Let c(s) = -5*s + 20. Let w be c(f). Let a = w - -53. Solve 2*o = a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -176 + 175.5. Let b be 26 + (2\/(-4))\/((-13)\/(-26)). What is the nearest to b in v, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-13 + 8 - -14 - 15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4336 and 126286?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = 0, 4*t - 3788 = 18*l - 14*l. Calculate the greatest common factor of t and 2336.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 9*o + 5. Let p(m) = -5*m**2 + 19*m - 10. Let x(f) = -7*h(f) - 3*p(f). Determine x(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**3 + 5*f - 4. Let u be (3 - 2)*(-20)\/5. Let n(d) be the third derivative of d**6\/24 + d**4\/4 - 5*d**3\/6 - 2*d**2. Determine u*t(i) + 3*n(i).\nAnswer: -i**3 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4 - 9. Solve d*q + 3*z = 6, -2*z = 4*q + z - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-5*(-12)\/(-45)*99\/(-22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -230\/7?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11504, -11505, -11506, -11507, -11508?\nAnswer: -11509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 48*p**3 + p**2 - 14*p - 7. What is the tens digit of h(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 9*p - 7. Let d be z(8). Solve 5*l = 9 + d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2068560 and 6240?\nAnswer: 4137120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -566114, -566122, -566134, -566150?\n\"Answer: -2*j**2 - 2*j - 566110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(891)*1 + -1).\nAnswer: -1 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5 - 61 + 29*f**4 + 204 - 75 - 78 - 3*f + 0*f**5 wrt f?\nAnswer: -20*f**3 + 348*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12)*(-6162)\/(-117)*42\/21?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904 a factor of 208304491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k, -k - 3 = 5*v - 66. Calculate the remainder when 83 is divided by (6\/v)\/(1\/34).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167 + 178. Let y(h) = 123*h + 8. Is y(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 + 100096*g**3 - 625800000*g**2 - 5012808192*g = 0. What is g?\nAnswer: -8, 0, 12516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**5\/60 - d**4\/8 + 11*d**3\/2 - 30*d**2. Does 20 divide n(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788*q + 3*o + 14 = -793*q, 2*q - 2 = -5*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 - 74. Put u, 4, 1 in decreasing order.\nAnswer: 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680042 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5, -4*i + 39 = -4*j + i. Let t = -11 - j. Suppose t = -p - 4, -3*p - 49 = -5*z - 2*p. Solve 2*o - 1 - z = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c + c**3 + 15*c**2 - 4*c**2 - 5*c**2 - 9*c**2 + 2 - 5*c. Determine j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imme when four letters picked without replacement from metimmiebeeibbti.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/26663 and -167\/270732.\nAnswer: 3519516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -s + 5*s + 3*b, -s + 5*b = 17. Suppose -z - s*z = -12. Suppose -z*v + 34 = 7. Calculate the greatest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -17, -3, 0, 192?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 4 - 4 + 16*g**2 + g**2 + 14*g**2 + (0 - g + 0)*(4*g + g - 3*g) - 16*g**2 + 54 - 54 to l + s*g + f*g**2 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 2 + sqrt(2057) + 0)**2 - (sqrt(2057) - (sqrt(2057) - (0 + sqrt(2057) + sqrt(2057) + 4))**2)) + (3 + sqrt(425) + -1 + 0)**2.\nAnswer: 185*sqrt(17) + 10734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9709 + 0.0009. Let q = f - 0.03. Let c = -205.2 - -205.1. Put c, 0.1, q in decreasing order.\nAnswer: 0.1, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 5*x. Suppose 2*o + 0*o = -4*d - 2, 4*d = o + 13. Let t = d - x. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 7*v**2 + 8*v + 2. Let g be d(-8). Find the third derivative of 10*r**5 - 15*r**2 - 10*r**g + 3*r**2 wrt r.\nAnswer: 600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:51 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13, 29, 59, 103, 161, 233, 319?\n\"Answer: 7*f**2 - 5*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/12 in 3, -0.158, 31?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/56*(-196)\/(-168). What is the nearest to -37 in o, 2, -13, -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -708 - 2?\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-28) - 4\/(-14). Let l(g) = -g**3 - g**2 + g + 67. Is l(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7359 take away 7?\nAnswer: -7366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 4229.\nAnswer: 16916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 13) to base 2\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 5 = -2*c. Let w be 2 + c + (-4)\/(-4). Suppose -2867 = -3*v - w*y, -5*v + y - 456 = -5217. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - 2*g**4 + 0*g + (3 - 3 + g)*(-6*g + g**3 + g**2 + 6*g).\nAnswer: -g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 2. Let f be d(-2). Suppose -g - 2 + f = 0. Find the third derivative of g*k**3 + k**2 - 4*k**3 - 2*k**2 wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 5\/3*z**4 + 1\/2*z**2 + 1\/6*z**3 + 17*z + 0. What is the units digit of q(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5037.\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1072 - 204 + 1237*i**2 - 1011 + 737 - 400*i**2 wrt i?\nAnswer: 1674*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -34 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 46 = -334 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 1\/30*t**6 + 0*t + 0*t**5 + 0*t**4 + 4*t**2 + 0 + 1\/6*t**3. Differentiate x(g) wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -166269550?\nAnswer: 33253910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:38 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - n + 3*o + 40, -2*n - o + 5 = 0. Let d(w) = w**2 - 15. Let j be d(0). Let u = -11 - j. Sort -4, u, n in decreasing order.\nAnswer: n, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/11390635 and 49\/14060.\nAnswer: 865688260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18526, 37055, 55586, 74119?\nAnswer: 92654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) 2\/9 (c) -43 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10*x + 1. Let r(w) = 9*w. Determine 3*r(f) - 2*s(f).\nAnswer: 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 920 = 5*t, 5*w - 447 = 5*t + 473. Let b = 187 + t. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-10))\/((-3)\/(-34)). Let g = 0 + b. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 3*r + 325. Suppose 5*y = 105 - r. Suppose -y*j + 87 = -5*j. Calculate the remainder when 112 is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/5163 and -4 + 1712\/160 + 5?\nAnswer: 51630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 2:35 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/6))**(-29))**(-22) assuming b is positive.\nAnswer: b**(319\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 61*m**3 + m + 1. Let o be j(-1). Let b = o + 63. Suppose 20 = -5*z, 0 = f + b*f - 4*z - 31. Solve -2*y = -h + y - 20, -25 = -f*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11433*v. Let f(w) = -480*w. Determine f(k(o)).\nAnswer: 5487840*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -r - 3*r + 10, 0 = 2*p - 2*r + 2. Let c be (-2 - (4 + -4)) + p. Is c at least -11\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**2*i**3 + 555088*b**2*i**2 - 2*b**2 - 1767*b*i**3 - i**3 wrt i?\nAnswer: -30*b**2 - 10602*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -616 (base 15) to base 13.\nAnswer: -816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 71*t - 1. Let z(o) = -3289*o**2. Determine q(z(h)).\nAnswer: -233519*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 1710 = -38*t. Suppose -2*v - 445 - t = -k, -k = 5*v - 511. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1057, 918, 789, 676, 585, 522, 493?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a**(6\/11)*a)))\/((a**5\/a)\/a))\/((a*a**(1\/3))\/(a*a**(-1\/3))) assuming a is positive.\nAnswer: a**(-37\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 9.3922787583602.\nAnswer: 5.3922787583602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m + 9*m - 41 + 10 = 2*b, 6*m + 2*b + 10 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**8\/28 + 5*s**4\/12 - s**2. Find the second derivative of q(o) wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7135971223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*k - 29 = 0, z + 4 - 9 = -k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 8*n + 53. Give l(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -170*d**3 + 11*d**2 + 11*d - 16. Let o(n) = -57*n**3 + 4*n**2 + 4*n - 6. Determine -11*o(s) + 4*z(s).\nAnswer: -53*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1087115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 662191451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 6) + -6 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2 - 842170*c + 177312577225 = 0.\nAnswer: 421085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-1870)*-17*2)\/(10\/154)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29774883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 23, -1\/2, -5, 7, 3.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i**7 + 0*i + 0*i**3 - 5\/12*i**4 + 0 + 0*i**6 + 1\/8*i**8 + 0*i**5 - 2*i**2. What is the second derivative of r(y) wrt y?\nAnswer: 840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*x + 8 = 14, -5*x = 2*n + 14. Let d(j) = -19*j**3 + 3*j**2 + 5*j + 1. What is the hundreds digit of d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44864)\/(-9814))\/((-4)\/14).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6973819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 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: Is 5867857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18237*v**5 - 6*v**4 - 10*v**2 - 484*v.\nAnswer: -1094220*v**2 - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (-253)\/(-22))\/(10\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*p - 505, 7*p + 2*w = 4*p + 290. What is the highest common divisor of 425 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 5. Suppose 0 = 4*d - 5 - 3. Suppose -2*f = -y - 9, -d*y = p*f - f - 17. Solve 3*a - g = -2, -g + 4 = -f*a + g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 220?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -137 + 137.0000025. Round q to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/515 and 27\/6912433.\nAnswer: 34562165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-78) - ((-1815)\/(-390) - 5). Factor -b*z**3 + 0 - 7\/2*z**2 - 3*z.\nAnswer: -z*(z + 1)*(z + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(170) - (sqrt(170) + (sqrt(170) - sqrt(170)*-3*2) - sqrt(170)))\/(sqrt(10) - (sqrt(10) + sqrt(360))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 86*l - 2672. Calculate m(32).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6193173 - 1?\nAnswer: -6193174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2\/5 - 800654379*h\/5 - 800654382\/5 = 0. Calculate h.\nAnswer: -1, 266884794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-3)*(x*x\/(x**(2\/51)*x))\/x*x)**29)**(2\/27) assuming x is positive.\nAnswer: x**(14674\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11200 and 228725.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8412 divided by 6.\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 8\/7535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9223317 to the power of 1\/2, to the nearest integer?\nAnswer: 3037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/169205 + 1928887\/4230125. What is the common denominator of s and (-35)\/16*24\/6?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000101111100101 (base 2) in base 15?\nAnswer: -154c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttyyttt. Give prob of picking 2 t.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 64 = 5*j. Let v = -9 + j. Find the third derivative of 5*d**4 - 9*d**2 - d**v + 3*d**2 wrt d.\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 - 6?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-77)\/(-8)*((-260)\/70)\/(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -7. Let n = -285540 - -285542. What is the remainder when u is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 4*j + 3. Suppose 5*g - 4*v - 3 = 0, g + 4*g - 3*v = 6. Let a be l(g). Are 3\/7 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211101200 (base 3) to base 9.\nAnswer: 24350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13225 and 14270833.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/10*7\/(-14). Let f = 2 - 1.9. Let i = f - -0.1. Which is the nearest to 2? (a) 1\/3 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.047813 and 644?\nAnswer: 30.791572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 96\/(-18)*6\/4. Let j = r + 14. Suppose y = -2*g + 2 + j, -5*g + y + 13 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -846725, -3386923, -7620587, -13547717, -21168313, -30482375, -41489903?\nAnswer: -54190897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p - 26. List the prime factors of z(-17).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31080148 divided by 1628\nAnswer: 19091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -64. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1595*u + 6371*u - 1590*u - 1591*u - 1596*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/12 - (-1 + 0). Let u(h) be the first derivative of h - 1 - 1\/3*h**3 + b*h**2. What is u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = 100 - 111 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7325.9 - 7326. Suppose 2*s = -2*s - 16, s = -5*y - 29. What is the nearest to -0.08 in 2\/11, n, -1\/3, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (219*w - 109*w - 5241*w**3 - 110*w)*(0 + 4 - 5) to the form m*w + z + k*w**3 + l*w**2 and give k.\nAnswer: 5241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/((-10)\/3 - -3). Let l = g + 28. Let v(t) = -7*t + 11. Let s(p) = 11*p - 17. Calculate l*v(u) - 5*s(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3089.\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 76274618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2696 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80555257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1906 - 1780 = 9*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6036 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3088158 to the nearest ten thousand.\nAnswer: -3090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2860949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*i = 1, -3*g + 3 = -5*g - i. Let k = 4 + -16. Let u = -12.4 - k. Which is the biggest value? (a) g (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c - 1. Let s = -8 - -14. Suppose 3*i - 3 = -s. What is z(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -2*x + 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(1\/3)\/f))**25*(((f**(-2\/59)*f)\/f)\/f)\/(f\/(f\/f**(-1\/8))*f) assuming f is positive.\nAnswer: f**(56297\/1416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/3 + 14358*w - 2494928\/3 = 0. What is w?\nAnswer: 58, 43016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -5\/7, -2, 2\/5, 0.5?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9836, 9834, 9832, 9830, 9828, 9826?\nAnswer: 9824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 - f**4 - 5*f**4 - 5*f**4 - f**4 + f**4 + (-f**2 - 3 + 3)*(-2*f**2 + 0*f**2 - 2*f**2) to b*f**4 + h*f + v*f**3 + l + r*f**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**6*s**10*(s**(-1)\/s)**(-8) assuming s is positive.\nAnswer: s**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 - 114. Let m(p) = 4*p - 43. Calculate the remainder when m(g) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2576, -2574, -2572, -2570?\n\"Answer: 2*i - 2578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82.85 * -10999.\nAnswer: -911267.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 256 + -1966\nAnswer: -1710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -89, 37, -3.\nAnswer: -89, -3, -2, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -60*q**3 + 4*q**2 - 33*q + 1338. Find the second derivative of j(c) wrt c.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**3 + 311*x**2 - 32*x + 170. Give w(-39).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 272\/10 - 2\/10. Let h(r) = r**3 - 12*r**2 + 11*r + 5. Let d be h(11). Suppose 0*t + 4*t = 5*o + n, -d*o - 24 = -3*t. Let i(v) = 4*v + 2. What is i(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 0 + 1\/30*x**5 - 1\/12*x**4 + 1\/6*x**3 + 0*x + x**2. List the prime factors of b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -223367, 1\/4, -2 in decreasing order.\nAnswer: 1\/4, -2, -223367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 12. Suppose -8 = z*q - p, 2 = -2*q - p + 3. Let a be 20\/(q\/(-25) - 0). What is a rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*j**5 + 5022*j**4 + 11*j**2 + 720*j - 256128?\nAnswer: -920*j**3 + 60264*j**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89517707 divided by 6?\nAnswer: 89517707\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 468, 539, 714, 1041, 1568, 2343?\n\"Answer: 8*g**3 + 4*g**2 + 3*g + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**4\/4 + 8*n**3\/3 + 11*n + 5. What is the units digit of i(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*f**5 - 2487*f**4 - 5697*f**3 + 40743*f**2 + 1782*f = 0.\nAnswer: -33, -6, -1\/23, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 21*f - 100. Let r be z(25). Solve r = 3*o + 2*h, 2*o + o = -4*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6748421?\nAnswer: 31, 217691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 divided by -1?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7 - 3 = 0. Let u(f) = -3*f**2 - 18*f - 3. Let c(s) = -s. Let x(z) = w*u(z) - 18*c(z). What is the first derivative of x(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 1. Let y = j - 5.4. Let u = 38 - 153\/4. What is the nearest to -1\/4 in u, y, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52703 + 928055960.\nAnswer: 928003257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -1. Suppose -2 + p = 3*v. Solve -v*h + 13 = -3*o + 2*h, -5*h + 23 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 7. Let q be t(10). Sort -1, q, -4, 4 in increasing order.\nAnswer: -4, -1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72119.6 years to millennia.\nAnswer: 72.1196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.089.\nAnswer: 0.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 - 109 + 54)*(v**3 - 3*v + 3*v)*(34*v**2 + 20*v**2 - 46*v**2).\nAnswer: -1192*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 271108 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 + 29*v - 13. Let b be t(8). Suppose -23*k + b*k = 504. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4018284 and 6752?\nAnswer: 32146272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upauaac. What is prob of picking 2 u and 1 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9934.4 + -0.11\nAnswer: -9934.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 3 - 3 + (-2 + 4*q + 2)*(-1 + 0 + 0) + 0*q + 2*q - 3*q + (3*q - 4*q - 3*q)*(15 + 10 - 6).\nAnswer: -80*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.18 (b) -0.2 (c) 3 (d) -359 (e) 5 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*p - 254, -374 = -5*o - 4*p - 55. Let d = o - 28. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 46*x**2 + 167*x - 36. Give u(42).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 7 - 2. Suppose -5*n - 40 = -c*k, 0 - 8 = -4*k. Let w = n - -8. Solve f = -5*t - 3*f - 18, w*f = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 12*i**2 + 6*i - 12. Let d(y) = 2*y**3 - 24*y**2 + 9*y - 26. Let l(h) = 5*a(h) - 2*d(h). What is l(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.04, -3, 2, 178, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11507 and 4976.\nAnswer: 184112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j - 3. Let b be l(-5). Let z = 30 - b. Suppose 2*h + 45 = 7*h - z*y, -3*y - 3 = 2*h. What is the highest common divisor of h and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeq when three letters picked without replacement from qqqeeeeg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 55 - bb6?\nAnswer: -b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21091 is divided by 237.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -74, -2, -330, 0.3, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1568 - -1571. Which is the nearest to -0.1? (a) l (b) 2 (c) -110\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 19*h - 48*h + 29*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d - 24. Let o = d - -16. What is the second derivative of -5*l + 15*l - 4*l**3 - o*l wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - h)*(-1 + 0 + 0) + ((-2 + 0 + 4)*(-2 - 1 + 1) - 4 + 2 + 0)*(-4 + 4 - h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + z - 39. Let l be v(6). Let j(x) = x**2 - x - 27. Let k be j(-5). Solve 0 = l*p + 3*r - 6, -4*p - k*r = -0*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*b - 12172 = -5704 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -11*k**6\/6 - 4*k**2 + 9. What is the second derivative of v(b) wrt b?\nAnswer: -220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1328, 2649, 3966, 5279?\nAnswer: 6588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -42. Suppose 2*j - 3*o = -o + 282, 5*o = f. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + sqrt(45)*-1 + sqrt(45)*-1 + 4 - ((sqrt(55)\/((sqrt(220)\/sqrt(4))\/sqrt(5)))**2 - -5*-1*(1*sqrt(5) - sqrt(5))**2).\nAnswer: -6*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1064638?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 26 (c) -0.1 (d) -269 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 204*t**3*x**2 + 3*t**3*x - 16*t**3 - 4*t**2*x**2 - 162*t**2*x wrt x?\nAnswer: 408*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*f + 15, 8 = 3*p - f - 1. Factor -6\/5*t**4 + 0 + 0*t - 2\/5*t**2 - 6\/5*t**p - 2\/5*t**5.\nAnswer: -2*t**2*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 + 3)*2\/(-4). Suppose n = 4*z + 356, -z + 2*z - 1133 = -v*n. Is 58 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*c - 3*c - 3*c to the form u*c + w and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2554 + -2368. Calculate the smallest common multiple of 27 and t.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 63 - 272 = -5*u, 0 = -5*p - 20. Let x = u + -66. Let y(m) = -m**3 - 3*m**2 - 7*m - 9. Does 3 divide y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -41*j**2 - 48*j**2 + 87*j**2. Let g(a) = 6*a - 8 + 8. Determine g(n(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 630\/(-28)*246\/(-2460)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 182 and -15.\nAnswer: -2730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**3*w - 8768133*a**3 - 34524*a**2*w + 37*w wrt a.\nAnswer: 18*w - 52608798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-414)\/(-3)*(-50)\/150.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16454 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(-4*sqrt(99)*-2)\/(sqrt(99)\/(sqrt(44)\/sqrt(4))).\nAnswer: -240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-66)\/(-65) + (0 - 1). Let f = -30026 + 11710199\/390. Let j = f + s. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11739 not equal to -11739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3800013 or -26600092\/7?\nAnswer: -26600092\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*18\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039520 rounded to the nearest 10000?\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3234 divided by 8?\nAnswer: -1617\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12 - 1\/((-3)\/(-3)). Let i = f + 15. Solve 10 = -3*u - i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - -1. What are the prime factors of w?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 12*m - 4*y = -20, 3*m - 2*y = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8247 to 2 dps.\nAnswer: -1.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7596 + 5?\nAnswer: -7591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 23, -77, -235, -445, -701?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -42. Suppose -5*d + 45 = -5*f, -2*d + 3*f = 8 - u. Let p be ((-16)\/132)\/((-3)\/d). Which is greater: p or -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216907\/132 + (-1)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**3)\/(h\/h**(2\/117)))\/((h*h**9*h)\/(h\/h**24)) assuming h is positive.\nAnswer: h**(-4327\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452 + 383 = -59*m + 1596 - 466 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.459372 + -4.452. What is l rounded to 4 dps?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15166262?\nAnswer: 2, 79, 95989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2 - 13412*a + 19031787 = 0.\nAnswer: 1613, 11799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005774427 rounded to four decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**8\/3360 - a**7\/1260 + a**6\/360 + a**5\/60 + 5*a**4\/12 + 6*a. Let y(v) be the third derivative of x(v). Factor y(t).\nAnswer: -2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*c**2 - 4*c**2 + 12*c**2)*(-2 + 3 + 0) - 3*c**2 - 2*c**2 + 0*c**2.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32265066 by 6.\nAnswer: -5377511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1845.5288 - 45.9012\nAnswer: -1891.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*p - 0*w + 104, -4*p + 84 = -2*w. Solve -p + 59 = -13*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264766277.\nAnswer: 264766277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 + 634*u + 8868\/7.\nAnswer: 2*(u + 2)*(u + 2217)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-10\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13637 - -18429. List the prime factors of k.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158 is divided by 790?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -178490?\nAnswer: -178499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from emmmmem.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -117702563 rounded to the nearest ten thousand?\nAnswer: -117700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 146 - 9 = 3*t, -55*t = 4*g + 135 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3\/3 + 20*f**2\/3 - 38*f\/3 - 20 = 0?\nAnswer: -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15696*f - 15699*f + 41 = 8*w + 110, -2*w - 3*f - 33 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.02 (b) 2879 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*o - 84*o - 6*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5043832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*w + 2*t - 4, -5*w - 2*t - 1 = 0. Let z = w - 5. Let u(k) = 5*k**2 + 8*k - 5. Is u(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107126 and 1566?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -2370?\nAnswer: -2379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 2*p = -24*d + 172, 5*d - 4*p - 385 = 0. Solve -6*u = 93 - d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 + 0*n**4 - 33*n**2 - 2*n**3 + n + 35*n**2 + 3 - 3*n**4 + 2*n**4 to the form z*n + c*n**4 + f*n**3 + u + k*n**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = -26. What is the third derivative of -3*r**5 + 6 - 6 + y*r**5 - 4*r**2 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p**2 + 712*p + 1433. Calculate w(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3121 + 102403340?\nAnswer: 102412011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 7. Let y be p(4). Let s = 19 - 13. Suppose -a = y*w - 281, 4*a + s = 7*a. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 22 - 8. Suppose s*n = 32 + 20. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -93. Let c(v) = 4*v**2 - v. Calculate the smallest common multiple of c(l) and (-2)\/(-3)*(-15)\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-2) - (-42)\/(-28))\/(98\/7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 28956, 5, -20 in descending order.\nAnswer: 28956, 33, 5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/3 - -3 - (-14)\/3. Suppose -2*y - 2 = 0, 2*m = -0*m - q*y + 13. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*v**4\/2 + 8185*v**3\/4 + 977*v**2\/4 - 195*v\/2 = 0. What is v?\nAnswer: -2\/7, 0, 1\/6, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -50.19969340352 and 0.\nAnswer: -50.19969340352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1643 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - 138. Let v = 664 + i. Suppose 3*l = -4*q + 6*l + 1984, l + v = q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 1, e: 2, t: 1, u: 2}. Give prob of picking 2 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -295796 (base 14) to base 4.\nAnswer: -11132233020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 44, 68, 112, 182, 284, 424, 608?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 11*k - 25. Let f be t(-7). Suppose -34 = f*a - a. Let m = a - -33. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*r + 755. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*2*(-3)\/6. Calculate the common denominator of ((-2)\/12)\/(2\/278) and b - (2 - (-959)\/(-294)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 - 70167382*z + 70167382*z - 75*z**3.\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 167*k**2 - 11*k**3 - 148*k**2 + 9*k**3 in the form w*k + t + x*k**3 + q*k**2 and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**4\/3 - r**3\/6 + 82*r**2 + 28*r. Let x(o) = -o. Let l(p) = 3*p. Let q(c) = l(c) - 3*x(c). What is q(s(w))?\nAnswer: -48*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8172 and -23\/6356.\nAnswer: 57204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and -76.9.\nAnswer: -76.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8360467994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {x: 1, d: 3, s: 3, n: 3, b: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 183074341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8*x**(-30))**(-1\/41) assuming x is positive.\nAnswer: x**(22\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2 - 26*s - 3. Let l(x) = -4*x**2 - 22*x - 3. Let h(p) = 6*l(p) - 5*u(p). What is h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1)*(-8)\/(-8). Suppose b + 5*k + 57100010 = a, 2*b + k = -0*k - 114200002. Round b to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329009 is divided by 814?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4166 - -11?\nAnswer: 4177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 12*m**2 - 490*m + 4674. Give t(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 6*o - 135. Let l(y) = y**3 - 11*y**2 + 12*y - 11. Let h be l(10). Suppose o = c - h. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10106, -10126, -10146?\n\"Answer: -20*j - 10086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 2 + 2*p + 0 + 0*p**2 - p**3. What is the units digit of c(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/15))\/x**(-10\/3)*x**13\/x*x**10*x)**12 assuming x is positive.\nAnswer: x**(1632\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + 4*s**5 + 0*s**5 + (-2 + 7 - 3)*(48*s**5 - 12247*s + 12247*s).\nAnswer: 98*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92140*y**3 - 2936593 wrt y?\nAnswer: 276420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -68*d**3 + 15*d**2 + 5*d - 7. Let c(n) = 33*n**3 - 7*n**2 - 2*n + 3. What is -7*c(b) - 3*f(b)?\nAnswer: -27*b**3 + 4*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -29\/73, 388, 0.3 in descending order.\nAnswer: 388, 0.3, -0.2, -29\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -21*i - 117 + 236. Let y(x) = x + 1. Let j(m) = 3 + 3*m**2 - m**2 + 5*m - 4*m**2. Give i*j(w) + 5*y(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*c**2 + 120406*c**3 - 120359*c**3 + 7*c**2 - c**4 in the form d*c**3 + a + o*c + q*c**2 + t*c**4 and give d.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010010011011100101 (base 2) in base 10?\nAnswer: -1386213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y - 115*y = 211*y + 7770 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 0.2 (b) 3\/5 (c) 5 (d) -208 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10124 + -1?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15397 = 4*y, 142*l - 145*l = -4*y + 15411. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322*0.5.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + 5. Suppose -31*y + 1872 = -w*y. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 2:22 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**2 - 6*f**2 + f**2 + (f - 2*f + 0*f)*(-1 + 1 + f) - 1 + 1 + f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k + 6. Let x(g) = -18*g + 19. Let b(y) = -2*y + 1. Let i(h) = 2*b(h) - x(h). Calculate 6*i(o) + 17*r(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 11310002011222?\nAnswer: 11310002011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1329 = m + 5*v, -4*m - m = -v - 6723. What is the greatest common factor of m and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171 + -89. Let c = d - 81. What is the nearest to c in 3\/7, 5, -0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100001110101011001000010 + 100?\nAnswer: 101100001110101011001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14661674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 48 - 4 = -a, -128*a - 119*a - 4 = -249*a for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360) - 2*sqrt(360))*3)\/((sqrt(24) + sqrt(24)*-1)\/sqrt(3) + sqrt(8)))\/((-6*-1*sqrt(54) + sqrt(54))\/((sqrt(66)*-1)\/sqrt(11))).\nAnswer: 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a decade in years?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2311000 (base 4) in base 7?\nAnswer: -45526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37277 divided by 37277\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-123994)\/10040 - 78\/(-8)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-40)\/16*(-26)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11401284507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103950326*b**2 - b + 156418046 wrt b.\nAnswer: 207900652*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-70 + 65)\/(-2*(-2)\/(-8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190 and 360235.\nAnswer: 13688930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2 - (-19 - -12)) + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 5, -561, -3, -2\/15 in ascending order.\nAnswer: -561, -3, -2\/15, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m + 2\/7*m**2 + 224 = 0. What is m?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 3*y**2 - 3*y. Let v = 72 - 77. Let j(x) = 2*x**3 + 5*x**2 - 5*x. Let b = -1 - -4. Let p = b - 0. Give p*j(q) + v*r(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p - 1\/3*p**3 + 0*p**2 + 0. Let r(f) = 4*f + 3. Let t(g) = -g - 3. Let c(a) = r(a) + t(a). Calculate v(c(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -20*j - 27. Determine s(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/4 + 7*x**3\/3 + 4*x**2 + 10*x + 4. Suppose -2*t + 0*t + 16 = 0. What is the smallest common multiple of z(t) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11376*k - 49801. Determine i(4).\nAnswer: -4297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -1 - 2. Let c(t) = -t**2 - 6*t - 3. Let r be c(-6). Sort m, -5, r in descending order.\nAnswer: m, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.6 (b) 9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 200, 772, 1712, 3014, 4672, 6680?\n\"Answer: -j**3 + 190*j**2 + 9*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*q - 56 + 854 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168905, 169287, 169925, 170819, 171969, 173375, 175037?\nAnswer: 176955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l**2. Let j(d) = -12*d**2 + 51*d - 6. Let h be j(4). Let q(a) = h + 28*a - 6 - 29*a. What is q(c(w))?\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -112 less than or equal to -776\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, r: 2, f: 13}. What is prob of sequence rr?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2, 3, -10, 18?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 13. Suppose -4*w - 20 = -4, -5*x - 2 = h*w. Solve -v + 5*u = 8, -5*v - x*u - 13 = -0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(1331) - (sqrt(1331)*-4 - sqrt(1331))) + sqrt(1331) + sqrt(1331) - sqrt(1331)) + 4*sqrt(1331)*4)**2.\nAnswer: 704099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 56991356 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 7 = 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -p + 5, 4*o - 1 + 5 = -2*p. Which is smaller: -3\/82 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 256237216?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 1, q: 1, g: 1, v: 4}. What is prob of picking 1 g and 2 l?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1379*d - 1065*d - 6908 = 0 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, 1, 2, 2\/7, -0.2 in descending order.\nAnswer: 2, 1, 2\/7, -0.2, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) - (sqrt(190) + sqrt(190)*-2*-4)) + sqrt(190) + sqrt(190))*-1*5)\/((sqrt(40)\/sqrt(4)*-1 + sqrt(90)\/(sqrt(9)*-2))*-1).\nAnswer: 50*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 3:04 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14745 and 5109?\nAnswer: 9636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111a (base 12) to base 9.\nAnswer: -2534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.1. Let k = 1\/212 + 845\/636. Let x = 4.8 - -0.2. What is the nearest to -0.1 in x, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1260 - 1256) + (-10)\/(-512)*-211 and 67\/10.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142002952?\nAnswer: 2, 2351, 60719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + l + l + 23, o = 2*l + 11. Suppose -o*i = -7*i + 8. Suppose 5*b + i*y = 181 - 15, -3*y = b - 28. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -18*3*5\/6. Let l be 44\/q + 10\/(-45). Which is the smallest value? (a) 0.5 (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnl when three letters picked without replacement from {r: 1, l: 3, n: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (726 - -1)*(-1056)\/(-66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -107673 + -443?\nAnswer: -108116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -5\/11 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1616 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6*((-182)\/861)\/(-26).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -58. Let k(j) = 19*j**3 - 3*j**2 + 5*j - 37. Is k(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/437*69 - 43.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((22\/30)\/11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231488 by -32.\nAnswer: 7234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 1098.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l. Let f(v) = -75*v + 6873. Determine f(n(s)).\nAnswer: -375*s + 6873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 404\/(-24) + (-5)\/30. Is 3\/a - (-95020)\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 0 - 1 - 40*m**2 + 132*m**2. Is k(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -21 - (-22 + -23)) + 30.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6032583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -619665*u**4 + 3*u**3 - 6862*u + 3445 wrt u?\nAnswer: -7435980*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmpll. What is prob of sequence mm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85659008*y**3 - 20654031*y?\nAnswer: -513954048*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1519200\/528 - 15\/55?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 1 = x, -x + 350 - 313 = 8*h + 11*h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14*w + 281. Give b(11).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6306682 is divided by 4534?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -17*u**7\/21 + u**6\/15 - 53*u**3\/6 + 3*u**2\/2 + 30*u + 1. Find the second derivative of l(d) wrt d.\nAnswer: -680*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114933, 229863, 344791, 459717?\nAnswer: 574641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11322 - -30?\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 6*q**2 + q - 14. Let b be n(-5). Suppose -b*d = -0*d - 828. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 49. Let l be y(-12). Suppose -796 = l*m - 17*m. Calculate the remainder when m is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 4*s**2 - 7*s - 4. Let k be j(-5). Let g be ((-40)\/(-12))\/(-5)*k. Let q = -178\/9 - -20. Put q, 5, g in descending order.\nAnswer: 5, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385 is divided by 93?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1380 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1121757625 to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.09 - -0.51. Let g = -9 + j. Put g, 0, 0.5 in increasing order.\nAnswer: g, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1190 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {a: 1, m: 3, l: 3, g: 7}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/4 and 31\/6038935.\nAnswer: 24155740","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 8*y**2 + 9*y - 20. Let l be k(7). Let o(x) = x + 40. Let q be o(l). Calculate the highest common divisor of 1258 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/9)\/w)*w\/(w\/(w*w**(2\/5)\/w*w*w)))\/((w\/(w**6*w))\/w**(-1\/10)) assuming w is positive.\nAnswer: w**(907\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 138*t**2 + 104*t - 14356. Give x(138).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 3*v**2 - 2*v + 2. Let o be g(2). Let c = 853\/7 - 121. Put c, -1\/10, o in decreasing order.\nAnswer: o, c, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/35*2\/((-8)\/(-20)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) -2 (c) -0.4 (d) 5 (e) 9 (f) 1 (g) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 1\/120*j**6 + 0*j**4 - 1\/10*j**5 - 6*j**2 + 0 + 2\/3*j**3 + 0*j. Give x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4515 - -0.0515. Let g = 13 - 12. Let w be 80\/198 + (-2)\/9. Which is the smallest value? (a) w (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 - 2.5. Let s = -6.7 - -7. What is the second biggest value in 2\/11, t, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 1:38 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:43 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 21*x**2 - 19*x - 34. Let q be j(22). Suppose -14*k = -q - 38. Let u(z) = z - 4. What is u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*a**4 + a**3 - 222*a - 80796?\nAnswer: -76*a**3 + 3*a**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -702*y**2 + 6. Let i(v) = 48438*v**2 - 416. Determine 3*i(k) + 208*n(k).\nAnswer: -702*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 5*b**2 + 21. Let k be w(-4). Suppose 0 = -4*g - 2*y + 240, -3*y = k*g + y - 300. What is the highest common divisor of g and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 8. Let d be ((-3)\/(-21))\/((-10)\/(-35)). Put d, r, -10 in increasing order.\nAnswer: -10, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011441635 to six decimal places.\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 218143 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*v = -2327, 3*t - 5*v - 78 = 1659. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187660 divided by -8530?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 76*(-10)\/3*18\/(-16). Suppose m + 455 = 5*y - f, -m + y = 760. What are the prime factors of m\/30*14\/(-3)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j - 3286280 = -36*j + 299939. What is the remainder when j is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01861867 rounded to 4 decimal places?\nAnswer: -0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11.7, 8, 0.058, 0.1, -0.06?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8584 * 3.15.\nAnswer: -27039.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538655?\nAnswer: 5, 13, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67.72307 nanometers?\nAnswer: 0.000006772307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + s + 4 + 5*s + 3*s.\nAnswer: 8*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -0.14?\nAnswer: -2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (405\/(-2250))\/(3\/5).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*q = -9*q - 48174, 4*m + 5*q = 64232. List the prime factors of m.\nAnswer: 2, 7, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-3)\/(15\/2)). Let u(k) = k + 7. Let m(p) = -2*p - 20. Let g(h) = -5*m(h) - 14*u(h). Calculate the remainder when g(j) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -1, 47, -3, -2.\nAnswer: -3, -2, -1, 47, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrxx. What is prob of picking 2 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 < -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -3) + (-2242)\/(-156). Let a = 49\/3 - b. What is the common denominator of 85\/14 and a?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*d**2 + d - 166*d**2 - d.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 384648 divided by -16027?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6576 to two decimal places.\nAnswer: -3.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 8*o - 4. Let m be t(-7). Suppose -5*d + 44 = -m*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -43*j - 344. Let i be a(-8). Solve 4*t + 11*t - 13*t = i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/24*13824\/1344?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3 (b) -39 (c) -0.2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, p: 2}. What is prob of picking 3 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*(2 - 0). Let a(x) = -35*x**3 - x**2 + x - 1. Let k be a(1). Let l be (3\/k)\/((-6)\/27). Is s > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**6\/24 - 7*y**5\/6 - 5*y**4\/24 + 35*y**3\/3 + 270*y**2. Factor a(r).\nAnswer: 5*(r - 14)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -867, -660, -73, 1092, 3033, 5948, 10035?\n\"Answer: 33*p**3 - 8*p**2 - 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 16*k + 18. What is b(18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/104 + 1141\/312. Suppose 0 = 4*z + 4*d - 24, -4*z = -2*d - d - 10. Is q > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.42 - -4.3. What is k rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -3*d + 44, -d + 65*o = 64*o - 13 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1569 + -1424. Suppose 4*f - p - 139 = 0, -4*f + l = 6*p - p. What is the remainder when 2\/3 - (-812)\/6 is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 + 3?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248761984 and 58387?\nAnswer: 8341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, e: 3, t: 1, i: 7, w: 2}. What is prob of sequence eipw?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94806702?\nAnswer: 2, 3, 5267039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 698 + -3487\/5. Sort 1\/4, k, 2\/3, -1 in decreasing order.\nAnswer: 2\/3, k, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11386*b**3 - 22482*b**3 + 26*b + 11095*b**3.\nAnswer: -b**3 + 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + n + 8. Let v be 4\/(-2 + 1 + 3). Suppose v*x = -2*x. What is the units digit of l(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let s(t) = 110532189*t**2. Determine w(s(r)).\nAnswer: 110532189*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 1504.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*p**3 + 4*p**2 - 125*p + 2?\nAnswer: -372*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (26 - (17 - -24))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 1. Calculate the remainder when r is divided by (6 - 3)*22\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 289*g**5\/9 - 351118*g**4\/9 + 35604011*g**3\/3 - 100295824*g**2\/9 + 23580736*g\/9.\nAnswer: g*(g - 607)**2*(17*g - 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x + 15*x - 420 = 7*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 3*m**3 - 7*m + 5. What is the first derivative of h(v) wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2045*x**3 + x**2 + 2033*x**3 + 2042*x**3 - 6117*x**3 - x**2.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**6\/255 + 6*w**5\/85 - 35*w**4\/102 + 8*w**3\/17 + 67*w - 2. Find f, given that s(f) = 0.\nAnswer: 0, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (64\/(-12))\/2. Let l = 4 + m. Suppose 4*v - 3*k + 22 = 1, -v - 2*k = -3. Which is the fourth biggest value? (a) v (b) l (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 560*u = -557*u - 54, 0 = 2*a - 137*u + 1775 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, -1, 1\/862, -2\/5, 2\/5?\nAnswer: 1\/862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -131596206 + 8?\nAnswer: -131596198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + -4 + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -76 (b) 0.2 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2438 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -357584*m**3 - 1953692*m**2.\nAnswer: -2145504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, -73, -274, -565, -952, -1441, -2038?\nAnswer: -2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7 - (0 + 1))\/((-3)\/(-28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*d - 3 = x, 0 = 5*x - 5*d - 25. Solve -x = -3*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 16. Let a be x(7). Let c be 5\/(a - 6\/8). Suppose 4\/7*z**c - 8\/7*z**2 - 4\/7*z**3 + 0 + 0*z = 0. What is z?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.518633 to 3 decimal places.\nAnswer: -8.519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 108550*z - 21246880.\nAnswer: 5*(z - 21904)*(z + 194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 24 = 8. Suppose v*m + 20*m = -10*m. What is the nearest to 9 in 0.5, 6, m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333 <= 1333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*t + t. Let s(o) = 2 - 90*o - o**t - 1 + 90*o. Suppose -2*p + 5*j - 11 = -33, -j - 4 = 0. Let d(w) = 7*w**2 - 3*w - 6. Give p*d(a) + 6*s(a).\nAnswer: a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.86507ml to litres.\nAnswer: 0.04586507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 3 + (3 - 1). Suppose g = 4*g - c*x - 18, 0 = 2*x + 4. Suppose 2*b + 24 = g*b. What is the lowest common multiple of b and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from {f: 2, k: 1, i: 2, v: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s + 4. Let j(g) = -102*g - 24. What is j(r) + 4*t(r)?\nAnswer: -70*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 7. Let d be w(2). Let x be -2 + (6 - d - -45). Calculate the highest common divisor of x and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 35*r**2 + 73*r + 35. Let l be a(37). Let d be (2\/(-2))\/(l + 72\/40). Let u(x) = -5*x + 6. Calculate u(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + -1 + 1 - -2. Let g(i) = -81*i**2 - 245*i + 4. Let x be g(-3). Put x, -3, o in increasing order.\nAnswer: -3, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2093\/(-14)*1)\/((-1)\/2) is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -6.13923178?\nAnswer: -8.13923178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 4*a + 11. Let h(v) = 2*v**2 - 2*v + 11. Determine -3*c(b) + 4*h(b).\nAnswer: -b**2 + 4*b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.56 - 0.06. Let r = 8.6 + -8. Let s = -1 + r. What is the nearest to -0.1 in v, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*w**6 - 51*w**2 + 0*w**4 + 7*w**6 - w**4 - 7*w**6 wrt w.\nAnswer: 720*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 1463057?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2\/5 - 2687764*a\/5 + 1075104 = 0.\nAnswer: 2, 1343880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -575, -1775, -4237, -8591, -15467, -25495, -39305, -57527?\n\"Answer: -105*k**3 - k**2 - 462*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -15163956?\nAnswer: -5\/15163956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -627*c**3 - 18207*c - 254*c**3 + 18207*c.\nAnswer: -881*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 125889, 251780, 377671, 503562, 629453?\n\"Answer: 125891*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1462 (base 12) to base 16\nAnswer: -94a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3, -5\/4, 15\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.262*0.4\nAnswer: 0.1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -265, 0.03 in ascending order.\nAnswer: -265, -4, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 402535 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 20 = -3*j, 2*u - j = 8 + 2. Suppose u*y = -2*y. Suppose y*x + 2*x - 54 = 3*k, x + k = 17. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544417 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**4 - 3*c**2 + 2*c + 2. Let d(a) = a**5 + 11*a**4 - 16*a**2 + 11*a + 11. Let n(v) = 4*d(v) - 22*m(v). What is the third derivative of n(x) wrt x?\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 154032139 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + (4 - 1 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-6)\/27)\/((-157030)\/(-136899) - 24\/21).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2 + 13*t - 35. Determine o(7).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001187861034 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-4 + sqrt(209))*3 - -5*(sqrt(209) + -3*sqrt(209) + sqrt(209)))\/(sqrt(308)\/(sqrt(7) + sqrt(63)*-3)).\nAnswer: 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 5\/(-8) - (-66)\/(-176). Solve -11*n = -h*n - 44 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 227 - 287. What is the thousands digit of 8*(-9970)\/w - 4\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5398464 is divided by 246.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*u**2 - 49*u**2 - 12*u**2)*(63*u - 1 - 68*u + 5) + (-2*u**2 - 2*u**2 + 2*u**2)*(2*u + u - 2*u) + 1 - 1 - u**3.\nAnswer: 437*u**3 - 352*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 18*d - 41. Calculate the remainder when i(11) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 12 = -0*c - 2*c, -4*c + 3*f = -20. Suppose n = 3*n, q - c*n = 0. What is the derivative of -7 + q*m**4 + 12*m**4 + 3*m**4 wrt m?\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -786 and -0.6.\nAnswer: -786.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 307172269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjijjjjijjjj. Give prob of picking 2 j and 2 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400\/16200*(8 - 1535\/190)?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -898.2 rounded to the nearest ten?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**3\/4 + 19383405*i**2\/4 + 29075125*i\/2 + 9691710 = 0.\nAnswer: -2, -1, 3876684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10 = -2*z. Let p(d) = 0*d + d**z - 4 - d + 2*d. Let g(o) = 1. Let q(a) = 4*g(a) + p(a). Find the second derivative of q(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 60*d - 2 - 2 + 6)*(577909 - 610*d - 577909).\nAnswer: -36600*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-15))\/(1\/(-14)*35\/(-30)).\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068133?\nAnswer: 11, 97103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.5, 0.1, -7.2, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1353 + -768. What are the prime factors of i?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 3:40 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 0*v + 0*v + 3*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354551 to the power of 1\/2, to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 2*a**2 + 32. Let g be o(-4). Sort g, -46, 1.\nAnswer: -46, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Suppose -4*u = -4*q - 84, 5*q + 3*u + 40 = -41. Let w be (-20)\/(-30)*q\/8. What is the smallest value in w, -0.5, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 117 = -203. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 10. Let w be t(-8). Let n be ((-150)\/4)\/(-5)*8\/12. Solve w*p + n = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(108)*2 + sqrt(3)) + 2 - (1 + sqrt(3200)*-4 - sqrt(3200)))**2.\nAnswer: 5202*sqrt(2)\/13 + 13530571\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + (-3)\/4. Let b = 19 - z. 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 1691 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: Sort 65, 71, 9, -36, 3, -5 in decreasing order.\nAnswer: 71, 65, 9, 3, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - l + 1869 - 1891, c - l = 4. Solve -b - 4 = -3*s + c, b + 1 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/64 - 115\/832. Suppose 4*o = 7*o. Suppose o = h - 3*n + 1, 3*n = -4*h - 4. Which is greater: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 117815648 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = -5. Suppose x - h + 2 = 1, 4*x - m*h + 3 = 0. Let j be (-2)\/(-6) - x\/(-3). What is the third smallest value in 5, 3, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:13 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 3. Let k be h(4). Suppose 3*b + 2 = b, 5*l - 35 = 5*b. Suppose 2*m = k*m - l. What is the lowest common multiple of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4062.4 - 4066. What is the third biggest value in r, -0.15, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2. Let o(j) = -100*j**2 + 51*j - 54. Let s(w) = -17*w**2 + 9*w - 9. Let l(a) = 6*o(a) - 34*s(a). Give l(x(u)).\nAnswer: -88*u**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1, 0.5, -1\/4 in descending order.\nAnswer: 1, 0.5, 2\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m = -1920. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of ((-3)\/((-27)\/(-228)))\/(2\/(-117))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -15*t + 6*t**2 - t**2 + 6*t + 15*t + 6. Let l be a(-2). Does 30 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -67. Let a(z) = 62*z**3 - 3*z + 2. Calculate the remainder when a(1) is divided by (-6)\/t*(-7 - (-15 + 1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 3864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 15 - (-1486 - -1478).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5\/5 + 48956*d**4\/5 - 29376*d**3 + 146884*d**2\/5 - 48962*d\/5.\nAnswer: 2*d*(d - 1)**3*(d + 24481)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -12*o - 29, -1716*j = -1714*j + o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d + 0*d)*(3*d - 2*d + 0*d)*(6 + 28 + 32)*(d**3 - 3*d + 3*d).\nAnswer: 132*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 48*t = 49*t - 8, 0 = 2*t. Let a(f) = -f**2 + f + 1. Let v(u) = 20*u**2 + 4*u + 4. Calculate x*a(q) + v(q).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 284811 and 5791157.\nAnswer: 17373471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i**3 - 466164*i**2 - 332991*i + 133194 = 0 for i.\nAnswer: -1, 2\/7, 22199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -1, 3496, -0.19, 2\/11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.095 + -0.095426. Round n to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**3\/6 + o**2\/2 - 3*o + 11. Let f be r(3). Let w(v) = -v + 2*v + 1 - v**2 + 2*v**3 + 4*v**2. Give w(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -29*t**3 - 3. Let n(i) = -117*i**3 - 13. Determine -13*f(u) + 3*n(u).\nAnswer: 26*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i - 47. What is the remainder when y(-19) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -81*z**2 - 171*z + 1. Let n be d(-2). Let j = 16 + -4. Let p(a) = a**2 - 3*a - 13. Let f be p(j). Calculate the highest common factor of f and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5025 is divided by 1654?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-f**3 + f**4 + f**3) + 2*f**4 + 0*f**4 - 3*f**4 + 7*f**4 + 7*f**4 - 10*f**4 + (-f - 3*f**2 + f)*(4*f**2 + 0*f**2 - 2*f**2).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.147639 to the nearest integer.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44635795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 28*c + 55. Let p be x(23). Suppose 3*v = -i + 3*i - 1353, p = i + 3*v. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5651263984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(2 + 1) - 3. Suppose 0 = 3*t + 3*d - 15, 0*d + 5 = 3*t + 5*d. Let i be 9*t\/(0 - -2). Calculate the greatest common divisor of q and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -3*i + 19*c, 0 = -149072*i + 149069*i + 5*c + 95 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 8*s**2 + 3*s + 22. What is y(9)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6)*10*5\/(-25). Which is smaller: b or 2\/4951?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/1*-91*(-1540)\/76440?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - c - 4*c - 330 = 0, 0 = -3*t - 2*c + 1075. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u - 2. Let h(v) = v - 1. Let b(g) = -a(g) + 2*h(g). Let z(w) be the second derivative of -69*w**3\/2 - 130*w. Determine b(z(k)).\nAnswer: 414*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54356047 is divided by 23389?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131557 and 2245?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**6\/18 + y**3\/6 + 23*y**2\/2 + 22*y. Let v(p) be the second derivative of l(p). Let u(a) = 0*a + 0*a + a. What is v(u(j))?\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 923 (b) 3 (c) -1 (d) -14\/3 (e) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 20.05. Let s = -0.07 - w. Let k = s - 0.38. Which is the second biggest value? (a) 2\/17 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 3. Let z be d(3). Let q = z + 3. Suppose -q*o - 3*r = -33, -29 = -2*o - 2*o + r. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.3, -2\/3, -1\/12, 0.04 in decreasing order.\nAnswer: 8, 0.04, -1\/12, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113516, 227030, 340544, 454058, 567572?\nAnswer: 681086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26478984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 2219.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195393.\nAnswer: 3, 11, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -66. Solve 0 = -5*b + 5, -6*h + p*h - 9 = -b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, q: 2, s: 5}. What is prob of sequence yqqy?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23798.\nAnswer: 2, 73, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -202 - -205. Let y = 2\/81 - 583\/648. Is y > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)\/l*l*l**2*(l**(-1)*l)**30)\/(l**7\/(l\/l**(-2)))**21 assuming l is positive.\nAnswer: l**(-904\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -90, -161, -232, -303, -374?\n\"Answer: -71*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, -2, -3 in decreasing order.\nAnswer: 135, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 787, 1598, 2409, 3220, 4031?\nAnswer: 4842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 563224?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**7\/210 + j**6\/9 + 5*j**5\/6 - 28*j**3\/3 + 67. Let y(r) be the third derivative of v(r). Factor y(t).\nAnswer: 4*t*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 - n - 3. Let x be h(2). Suppose -o = 4*o - x. Solve c - 1 = -o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -1\/24*a**4 - 6*a**2 - 2\/3*a**3 + 0*a - 1\/120*a**6 + 0 + 1\/20*a**5. Let k be z(3). Sort -5, k, 0.\nAnswer: k, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = y - 8, -254*y = -256*y + 5*r - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/1)\/(789480\/(-539478))?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = -4. Suppose n + 4*l - 4 = 2*l, -4*n - g = -l. Suppose 0 = -2*j + 3*h - 0*h - 15, -2*h = -5*j - 10. Are n and j non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(1889\/264460)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 + -25. Let y = -23776687824.99999913 - -23776687682. Let m = l - y. Round m to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = -4*t. Suppose 36 = -7*v + 64. What is the least common multiple of v and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**4 + 44739847*k**3*y**3 - 217193360*y**3 wrt k?\nAnswer: -4*k**3 + 134219541*k**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/((-3)\/(-48)*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 23*w + 16)*(-w + 2*w + 3*w)*(3 - 1 - 5) + (5*w**2 - w**2 - 3*w**2)*(3 - 3 + 2).\nAnswer: -274*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2. Let o(l) = -l - 1. Let a(d) = 3*d - 6. Let c(m) = -a(m) + 6*o(m). Determine s(c(p)).\nAnswer: 162*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**5\/12 - c**4\/24 + 2*c**3\/3 - 5*c**2. Let v = 8 - -3. Let y(z) = 9*z**2 - 2*z + 7. Calculate v*x(r) - 6*y(r).\nAnswer: r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -386 at least -386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 608, 2300, 5128, 9092, 14192?\nAnswer: 20428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164 + -46. Let b = -159 - o. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3769*d**3 + d**2 - 2 + 3170*d**3 - d**2.\nAnswer: -599*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/18*(-8)\/(-2). Let i be o + ((-40)\/(-6))\/(-2) - -2. Suppose 0 - 2\/3*l**2 - 2\/3*l + 2\/3*l**3 + i*l**4 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 832500197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + z + 2. Let r be f(-2). What is the units digit of (-60)\/r - (-3)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, p: 9, f: 9}. Give prob of sequence zfp.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2128, 2136, 2148, 2164, 2184, 2208, 2236?\n\"Answer: 2*q**2 + 2*q + 2124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46966 by -16.\nAnswer: 23483\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12*(-15)\/(-10) + 1. Let h = x - -71. Suppose 3*a - h = 21. Solve o + a = 6*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 577601415 divided by -5?\nAnswer: -115520283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 2658747898?\nAnswer: 2658747898.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q)**19\/((q**(-3)\/q)\/q*q*q\/q**(-1)) assuming q is positive.\nAnswer: q**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 158, -2 in increasing order.\nAnswer: -2, 22, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - -1. Let k = 14 - 30. Let f = -17 - k. Is f >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153 or 1\/3?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51.48328 nanograms?\nAnswer: 0.00000000005148328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 45, 2\/69, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/84 and -109\/1980.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*u - 39. Suppose u*y - 5*y = 44. Put y, -2, -4, 2 in descending order.\nAnswer: y, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2642516 and 22034.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 - 1b?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(k + 3*k - 6*k) - k + 0*k - k + 20*k + 73 - 73.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 - 11*n + 15. Let f = 33 + -26. What are the prime factors of o(f)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 28*z**2 + 2416*z + 55961. Give x(-22).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k = 48*k - 540 + 1029 + 195 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2 - 5*z - 4. Let l be h(-3). Suppose -20*w = 665 - 65. Let s = w - l. Calculate the remainder when 22 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**6\/30 + 5*g**2\/2 + 3*g + 4. Let h(u) be the first derivative of n(u). Find the first derivative of h(y) wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-10)\/(-8))*(-4 + 3901\/940)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(119)*2 - (sqrt(119) - (sqrt(119) - sqrt(119)*-2*-2))))\/(1*sqrt(3388)*-1).\nAnswer: -3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87322373, 174644738, 261967103, 349289468, 436611833, 523934198?\nAnswer: 611256563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 4*l. Let w be q(-2). Let r = w + 13. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)\/u)**(-5\/3)*u*u**(-8)*u\/(u**17\/u)*u assuming u is positive.\nAnswer: u**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and 1.87.\nAnswer: -11.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*d = 0, 3*m + 5*d + 36 = -m. Let t = -0.135 + 0.335. What is the second biggest value in t, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u + 11*u - 18*u + 20*u - u**2 - 28*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 95043*k. Let p(i) = 7*i. Determine p(w(g)).\nAnswer: 665301*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = 1590*l - 1593*l - 2*o, -293 = -5*l - 39*o for l.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7599128881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0)**(-39)\/((o\/(o*o**(-2)))\/(o\/((o*o\/o**(-6))\/o)))*((o\/(o*o**(1\/3)))**(-7\/2))**(-35) assuming o is positive.\nAnswer: o**(-527\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**8\/840 - x**7\/420 - x**6\/180 + x**5\/60 + 5*x**3\/3 + 3. Let v(q) be the third derivative of m(q). Factor v(r).\nAnswer: 2*r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k)\/(k*(k**(-24)\/k)\/k*k)*((k\/(k**(-9)\/k))\/k)**(-17\/2) assuming k is positive.\nAnswer: k**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = c - 25, -c = 5*q + 84 + 65. Let i = -21 - q. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 16*o + 38. Give l(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27905, -27892, -27867, -27824, -27757?\nAnswer: -27660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 0)\/(-3 + 2). Suppose 2*k + 5 = -2*i + 19, -3 = i - k. Suppose -2*u = x - o*u - 67, 126 = i*x + 2*u. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 242*s**5\/5 + 2332*s**4\/5 + 5662*s**3\/5 + 412*s**2 - 1368*s\/5 + 144\/5 = 0. What is s?\nAnswer: -6, -3, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - b = -0*p + 140, 428 = 3*p - 5*b. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - (-1 + -6 + 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 26. Let c be w\/3*(32 - -4). Calculate the greatest common factor of 72 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 16984 (c) -0.1 (d) -5 (e) 0.4 (f) -3\/2 (g) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8975*t - 1780485 = 20462*t for t.\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -27. Let q be 2\/(-6) + i\/(-12). Solve 10 = 4*h + d + 3, -4*h + 5*d + 13 = q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - -16.11. Let a = 13 - u. What is the nearest to 0 in a, -5\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 not equal to 39494891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((26\/364)\/((-16)\/28)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.0611? (a) -3 (b) 2\/11 (c) -0.3 (d) 50 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1032895455 by 15.\nAnswer: -68859697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -13\/6*c**3 + 1\/360*c**6 + 5*c**2 + 0*c - 1\/6*c**4 + 0 - 1\/40*c**5. Let q(d) be the first derivative of g(d). Calculate q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, m: 6, y: 1}. What is prob of picking 1 y and 1 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31121 - 0?\nAnswer: 31121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/(-12) - (-38)\/8. What is the nearest to 5 in -2, l, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*((-5 - p + 5)*(-14 - 3 - 5) - 1 - 2*p + 1)*(-2*p - 3 + 3) + 0*p**2 - p**2 - 5*p**2 as c*p + k + x*p**2 and give x.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11172843 and 2475?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.8 rounded to 0 decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) -0.5 (c) 908\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 121*p**2 - 60*p - 3. Let z be x(-60). Let y = -75 + 78. Which is the nearest to 0.2? (a) 0.4 (b) z (c) -7 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/10 + 273\/15. Let f = -17 + l. Let z(a) = -1698*a - 4. Let b be z(f). Round b to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i = -17*i - 1763944. Suppose 3*w - 7*x + i = -8*x, 5*x = -5*w - 209980. Round w to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011010001000001101000001111 + 10?\nAnswer: -11011010001000001101000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, t: 4, z: 7}. Give prob of picking 2 e.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 2*h**3\/3 - 5*h**2 - 3*h. What is the tens digit of m(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1) + 37 + (-4)\/(-1). Suppose d - 10 = -4*g + 8, -2*g - p = -3*d. Let t = 41 - d. What is the remainder when t is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**3 - d - 1. Determine x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 - 2*v**2)*(-95 - 6*v + 95)*(-7 + 3 - 3).\nAnswer: -84*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 628858 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -19*g - 303. Calculate u(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6684)\/(-159) + -32*75\/63600?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-426)\/27 - (-6 + -30 - -49)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*m**2 - 82\/3*m - 1681\/3.\nAnswer: -(m + 41)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 4 - 29) + 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 891 and 3763122?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 2*z**2 - 6*z - 6*z**2 - 13*z to h*z**2 + q + l*z and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*w - 3*s + 875, 0 = -5*w + 5*s + 865. Let v(h) = -w*h - 175*h + 37 + 351*h. Let n(p) = -2*p**2. Give v(n(b)).\nAnswer: -4*b**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 19*n**2 + 18*n + 16. Let f = -14 + -4. Let d be x(f). Solve o = 4*m + d, 0 = 5*m + 2*o + 11 - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -203 - 42\/(-4 + -3). Is z at most as big as -197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3945\/(-3945))\/(1\/106*2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 8*h - 5. Let r = -42 - -36. Is b(r) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.28 + -0.48. What is the nearest to -9 in v, 3, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -4*q + 121. Sort 1, q, 0, -1.\nAnswer: -1, 0, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a factor of 6979288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3268.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -529.5 - -29\nAnswer: -500.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 22. Let x = y + 38. Suppose 9*q = 8*q + x. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/13)*k))\/((k*k\/(k\/((k*k**6*k)\/k*k)))\/k))\/(((k*(k*(((k*k**(2\/47))\/k)\/k)\/k*k)\/k)\/k)\/k*k*k**(2\/13)) assuming k is positive.\nAnswer: k**(-4350\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -25. Does 26 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 12*i**2 - 38077*i**4 + 5*i + 19037*i**4 + 19038*i**4 to the form z*i**4 + u + d*i**2 + a*i + f*i**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 5*t. Suppose 27 = t*a - 5. Solve 5*x = 4*n - a, -n + 1 = x - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277008897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4413988.3 + -42.7.\nAnswer: -4414031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-155)\/(-25))\/(-31))\/(3\/(-69)).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + ((-2 + sqrt(147))**2 + sqrt(3) - sqrt(3) - sqrt(3)) + -1*sqrt(3)*-2 + sqrt(3)).\nAnswer: -592 + 104*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 2:11 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 1064.\nAnswer: -212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**27*d))**(3\/10) assuming d is positive.\nAnswer: d**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11*f - 628. Let i(o) = 41*o + 1890. Calculate 2*i(n) + 7*r(n).\nAnswer: 5*n - 616","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9157 is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465 is divided by 96?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1262, 786, 310, -172, -666, -1178, -1714, -2280?\n\"Answer: -o**3 + 6*o**2 - 487*o + 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187313, 374212, 560691, 746750, 932389?\nAnswer: 1117608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 - -282?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 4:51 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.86227km in nanometers?\nAnswer: 5862270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 + 0.2. Let t = 2.4 - l. Which is the closest to -1? (a) -1 (b) t (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*w - 1781 = 46*w + 1639 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6973 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 - 64. Suppose -33 - 82 = -b*k. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/36 - 20\/(-9). Suppose -x*s = s - 39. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 - 28 = 0, -m = 2*j - 1799994. Round m to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 218775?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10*g - 12 = 0. Suppose g*l - 53 = -5*q + 7, q + 15 = 5*l. What is the highest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119 (base 10) to base 9\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w)**(-1\/78) assuming w is positive.\nAnswer: w**(1\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*l = -w - 88*l + 23, -26 = w + 3*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/(-3))\/3)\/((-69)\/(-552))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 8:53 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1747*a - 425*a - 81*a - 1013*a.\nAnswer: -3266*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -35*d**3 + d**2 - 3*d - 4. Let r(s) = 35*s**3 - s**2 + 2*s + 2. What is -2*o(m) - 3*r(m)?\nAnswer: -35*m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n - 11. What is the units digit of q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2015*g**3 - 16*g**2 + 11*g - 150. Let o be c(11). Round o to the nearest ten thousand.\nAnswer: 2680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36818 + 55344 = 33*p - 73597. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2825 + -2828. Let w = 0.06 - 2.06. What is the closest to -3 in -1, w, -15, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142 - 142.00199. Round v to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 24, 54?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7624 + -5?\nAnswer: 7617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + p + 8 = 0, 125*v - 2*p - 20 = 120*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 3:32 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from xjdddljdlljuljdd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -211, -227, -267, -343, -467, -651?\n\"Answer: -2*k**3 - 2*k - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 534940?\nAnswer: 8559040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6.15 * -35\nAnswer: -215.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 100162*g**2 + 671*g. Let l(y) = 299*y**2 + 2*y. Give 671*l(n) - 2*w(n).\nAnswer: 305*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2494091419 to the nearest integer?\nAnswer: 49941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2 = -2*a, -3*a + 296 - 299 = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/112)\/(3\/42).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-4*c + 6*c + c)*(-36*c + 36*c - 21*c**3 + 2).\nAnswer: 63*c**4 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -275282*i**2\/3 + 1484*i\/3 - 2\/3.\nAnswer: -2*(371*i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-993 + 2069 - 996)*(8*d + 5*d - 5*d - 1)*(-2 - 3 + 4).\nAnswer: -640*d + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g = 5*t - 155, 5*t + 4*g + 78 = 136 - 28 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*s - 172 + 172 + (3 - 5*s - 3)*(-2 + 1 + 0) - 10*s + 18*s - 3*s - s - s + 0*s + (-5*s + 4*s + 2*s)*(2 + 4 - 5) - 2*s - 4*s + 4*s.\nAnswer: 95*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000821829 to seven decimal places.\nAnswer: 0.0000822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3886615*p**3 + p - 8*p - 1295539*p**3 - 1295539*p**3 + 7*p - 1295540*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 1. Let y(z) = 14*z + 3. Let j(m) = 3*a(m) - y(m). Let d be 9*5\/(-10)*2\/3. Is 17 a factor of j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence heb when three letters picked without replacement from bebebehhe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 212508*k + 20603867.\nAnswer: (k + 97)*(k + 212411)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-3)\/2*-1)\/((-160)\/((-1834880)\/282)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 9*b**2 - 17*b - 17. Let t(l) = 2*l**3 - 3*l**2 + 10*l - 61. Let g be t(4). Suppose -10*u - 11 - g = 0. Give r(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 3 (c) -933 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0*y. Let f = 42 + -38. Sort y, -3, f in decreasing order.\nAnswer: f, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 0*a + 0*a**4 + 0*a**5 - a**3 + 0*a**6 + 3 + 1\/7*a**7 + 0*a**2. What is the third derivative of y(x) wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3311.5 times -20?\nAnswer: -66230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 7:41 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + sqrt(208)*1 + 5)**2 - 4*(1*sqrt(1300) + sqrt(13))**2.\nAnswer: -5435 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 + 2 = 0. Let q(h) = -4*h - 3. Let a be q(i). Suppose -a*n = -5*r - 160, -2*r + 3*r = -4*n + 148. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91654496?\nAnswer: 2, 2864203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 6066?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 28. Suppose 5*x - 4*t = 37, x - 2*t = -0*x + f. What are the prime factors of 6 - 0\/(-2 + x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/((-3)\/78). Suppose 7*y = 118 - o. Suppose 3*f + y = 0, -4*f = 3*h - 2*f + 7. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u + 189*u - 9*u - 3*u**2 + (6 - 2 - 2)*(3 - 2*u**2 - 3).\nAnswer: -7*u**2 + 190*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -c218 (base 13) to base 5\nAnswer: -1323343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 266*n - 3143. Determine w(12).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -4. Let x = -0.03 - -4.03. Let n = x - j. What is the closest to -1 in -2\/17, 3\/7, n?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/60 - 7*d**4\/12 + 10*d**3\/3 - 12*d**2. Let c be p(12). Let b = 73 - c. What is the remainder when b is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) -0.3383 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + t - 9. Suppose r + 2*r - 3 = m, 3 = -m. Let l be (r - 0)\/(4 - 7). Determine o(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4\/12 + y**2\/6 - 6. Solve t(d) = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = -3*y - 14, -22 = -16*m + 11*m + y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038459941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 8*q**2 - 3*q + 11. Let v be j(-3). Let o be v\/(-7) + 51\/119. Solve o - 19 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295 - -294.9. Which is the second smallest value? (a) -1 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = d + 5*m + 33, -3 = 3*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11440 - 516754398.\nAnswer: -516742958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -h + 4. Let p = 8 + h. Let k = 3 - p. Which is greater: k or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 27440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10820 - 10818. What is the closest to 9 in -5, -40, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273814 is divided by 318449?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3558632931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - -2) + 0 + 0. Let n(t) = t**2 + 10*t - 19. Let b be n(3). Solve -b = z*v - v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b42 - 766?\nAnswer: 3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 20*d - l - 8, 0 = -l - 4. Solve -2*o + 24 = -0*o - 4*p, d*p = 4*o - 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/3 + 45008*j**4\/3 + 45012*j**3 + 135040*j**2\/3 + 45014*j\/3.\nAnswer: -2*j*(j - 22507)*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 382875623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6575487 is divided by 2367?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3*1))\/(-10*21\/1470)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*l**3 + 0 + 0 + 136*l**3.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 26795 and 26809 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1420*x**2 + 12769*x - 3. Give q(9).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s**2 + 27*s**2 + 18*s**2 - 4*s**2.\nAnswer: 62*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*n**3 - 5*n**2 + 82*n**3 + 5*n**2 + 0*n**2 - 19*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 136 + 1?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3907, 6, -5 in increasing order.\nAnswer: -5, -2, 6, 3907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 1, 1\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4388 - 342*z - 4388.\nAnswer: -342*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 - 6*j**2 + 6*j. Let k(f) = -f**3 - f - 1. Let d(i) = -i**3 - i**2 - i - 2. Let c(w) = d(w) - 2*k(w). What is 5*c(n) - q(n)?\nAnswer: n**3 + n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjzvojtzzjovzj. Give prob of picking 1 o and 1 t.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, u: 2, o: 3}. What is prob of picking 2 r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2833 = -720*s - 22414 - 16419 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -q - 8*i, -2*i = 328*q - 331*q + 18 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -58 - 14. Let h(g) = -g**3 + 4*g**2 - g. Let t be h(3). Let d = 8 - t. Solve 5*x = -4*z + 33, -x + d*z = o*x - 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**4\/4 + 7*p**3\/3 + p**2\/2 - 11*p + 1. Suppose 5 = 7*w - 25 - 19. Let o be g(w). Sort 45, o, 5, 3 in ascending order.\nAnswer: o, 3, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20401302 (base 5) in base 2?\nAnswer: 101001001111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-27))\/(-1))\/((-35)\/((-210)\/(-4)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46172312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 809654682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 2:08 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 125 = -y. Let x = 33 + -29. Suppose x*j - 16 = 0, 2*j - 5*j = 5*u - 77. Calculate the remainder when y is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 4*b - 42 = 0. Let u(y) be the third derivative of 0 - b*y**2 + 1\/15*y**3 + 0*y - 1\/300*y**5 - 1\/120*y**4. Factor u(x).\nAnswer: -(x - 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8.3 = -33060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*z - 740 + 50 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1620527031 + -5?\nAnswer: 1620527024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*s - 33*s - 13*s + 480 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/3 + 8776*v**3\/3 + 174718*v**2\/3 - 8776*v\/3 - 58240 = 0. Calculate v.\nAnswer: -4368, -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.9136 * 10.85.\nAnswer: -42.46256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 6?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4355 and 1675?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 + -81. What are the prime factors of 1 + d + -7 - (-164 - -1)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290 + 306 = 2*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u - 111. Calculate n(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010110001 (base 2) in base 12?\nAnswer: -495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f + 218. Let c be o(24). Solve 2*l = -5*v + 25, v + 21 = -5*l + c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.53 + -4.63. Let x = -2.5 - -2.7. Which is the closest to y? (a) x (b) 2\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6020\/(-1505)*2\/44?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7 - 97*i + 145*i + 2*i**2 - 46*i. Give d(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14288\/(-470) + 28)\/((-9)\/(-5)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 633912064*i**2*s + 2*i - 52044918*s wrt i?\nAnswer: 1267824128*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 0 - -1 - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/5 - 11*x**4\/5 - 2*x**3 + 224*x**2\/5 + 384*x\/5.\nAnswer: x*(x - 8)**2*(x + 2)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/sqrt(11)*-1 - (sqrt(1100)*2 - sqrt(1100))**2.\nAnswer: -1100 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1870, 1886, 1904, 1924, 1946, 1970?\n\"Answer: f**2 + 13*f + 1856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11605 is divided by 60?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 999935071 to the power of 1\/2, to the nearest integer?\nAnswer: 31622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1853*o**3 + 2*o - 2*o + 1851*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231048405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113945*a = 113941*a - 2*m + 4, 2*m = -3*a + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 5*q + 846 = 0. Suppose 43*t - q*t + 548 = 0. What are the prime factors of t?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -73, -0.139, 0.4, -4, 7, 0.44?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47241*v**2\/2 - 5258*v + 2.\nAnswer: (9*v - 2)*(5249*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 810 = -3*i + 28481, 0 = 5*i - 2*a - 48823. Suppose 6*h - 32295 = -i. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 7*r**2 - 5*r + 6. Let g be x(8). Suppose 13*k - g = 8*k. Let b(f) = f + k - 5 - 2 - 6. Determine b(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t + 18. Suppose -s + 5 = -0. Let i be l(s). Calculate the common denominator of 53\/10 and (i*2\/(-15))\/(72\/530).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -105*v + 43. Let o(z) = 104*z - 43. Let l(k) = 3*g(k) + 4*o(k). Is l(5) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/37 in 1\/2, -0.02, 0.4, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233502161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*t - 10, 5*t + 2 - 7 = 2*g. Solve 0 = -a - 2*l + 3, g*a = -4*l + 3*l - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-11485)\/(-75) - 4\/30) + 0?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 7*g - 9. Let j be h(6). Let k = j - 947\/9. Are k and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l**2 - 2*l - 2. What is h(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*q - 9*q + 15*q)*(q - 3*q + q)*(1 + 1 - 3).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1763 - -432?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqqvzqzqtzhxvxz. Give prob of picking 3 z and 1 x.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28594?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 6. Let g(w) = -3*w + 7. Let p(j) = -2*g(j) + 3*u(j). Let z be 0*(-2)\/(-4) - -2. Suppose -5*t - 9 - 15 = 3*f, 0 = 3*t - z*f + 3. Determine p(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -315345.9986 + 315280. Let m = 66 + i. Round m to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*a**2 + 132*a**2 + 137*a**2 - 527*a**2 + 130*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111101011011000 (base 2) in base 10?\nAnswer: 129752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**2 - k**6 + 15*k**2 + 58*k**5 - 58*k**5 wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -2\/5 (c) 3.1 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -747.55 + 702. What is o rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p + p + (2*p + 4*p - 4*p)*(0 - 1 - 1))*(-5*p + 0*p - 6*p + (2 + 1 - 4)*(-4*p + 4*p + 2*p) - 2*p - p - 5*p).\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 p when four letters picked without replacement from {r: 6, p: 3, l: 6, f: 3, y: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**5\/40 - 6*c**3 - 14. Let x(w) be the third derivative of a(w). Let q(u) = -13*u. Give x(q(n)).\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-86010)\/25)\/(10\/60*(-3)\/250). Round p to the nearest ten thousand.\nAnswer: 1720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:58 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15547, 16358, 17171, 17986, 18803, 19622?\nAnswer: 20443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1377 divide 55977804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + o**2 + o + 2. Let t be r(3). What is the least common multiple of 6 and (-2)\/(-13) - 50\/t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1799 - -5?\nAnswer: -1794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7795 and 5550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -210, -1, 28158.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1. Let x = g - 5. Let h = -848 + 848.1. Which is the closest to h? (a) 2 (b) 2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89710648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 3*w + 2. Let x(f) be the third derivative of f**5\/60 + f**4\/12 - f**3\/3 + 14*f**2. Calculate -2*g(c) - 3*x(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -6 + 5670\/7. Suppose 5*p - 4*u = k, 3*p - p - u - 323 = 0. What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3690 divided by -5.\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a4 - 3?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 259581 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 24*f**2 + 64*f - 17. Give j(-20).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = -2*i - 3, 0 = -5*i + 25. Let n = -8 + y. Which is the nearest to n? (a) -0.4 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l - 5*l = 0. Suppose 5*i - 5*p - 1315 = l, 5*i + 3*p - 1308 = p. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/30 and 7\/1335.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - 7) - (-522 + 522)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x + 2 + 2*x**2 + 0*x**2 + x - x**2. What is b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -54*b - 60. List the prime factors of f(-8).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 5*z + 235 + 37 = 0 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 710.8 times -0.6\nAnswer: -426.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5\/8 - 249*f**4\/8 + 1833*f**3\/4 - 5121*f**2\/2 + 5697*f - 3564 = 0. What is f?\nAnswer: 1, 4, 6, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(3 - 20\/8). Suppose p - 1745 = -3*o, -4*o + 2325 = 3*p - z*p. Round o to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 92859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h - 170 = 60 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 13*f**2 + 29*f + 300. Determine i(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6*g - g = 15, g - 11 = 3*x. Suppose 9*r - 60 = 7*r. Suppose -r = 4*s + 6*s. Which is greater: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3676 and 0.11.\nAnswer: 3676.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(-5 + 2 + 1*sqrt(847) - (sqrt(847) + 0 + -2)*-1) + -4).\nAnswer: -58 + 220*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4228303 from 7393443.\nAnswer: 7393442.5771697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*r - 4*a = -231*r + 19, -a = -r + 6. Solve 4*v - 16 = -4, -5*o - r*v = -15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 14*u + 16. Let s be k(-14). Suppose -11*j + s*j - 165 = 0. Calculate the greatest common factor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 268209 and 30.\nAnswer: 2682090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w**3 + 5*w**2 - 5*w**2 + (w**2 + 2 - 2)*(4 + 2*w - 4) + 1 + w**3 - 1 + 51*w**3 + 170*w**2 - 170*w**2 to g + u*w**3 + d*w + k*w**2 and give u.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 124*i - 60 - 201*i + 81*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, z: 2, e: 2, b: 10, g: 2}. Give prob of picking 1 b, 2 e, and 1 z.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 + 1261\/10. Let w = 0.2 - 0.3. Sort 0.3, w, m in increasing order.\nAnswer: w, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -154*q - 4310. Let k be l(-28). Which is the closest to -4? (a) 3 (b) 9 (c) k (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 15*p**2 + 15*p + 10. Let m be f(-14). Let b be (5 - 1)\/(4\/((-16)\/m)). Find the common denominator of ((-10)\/20)\/(b\/69) and 25\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.47 and 0.24?\nAnswer: -5.1528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12667 is divided by 81.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1345 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -679300 rounded to the nearest ten thousand?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -46 (b) 3 (c) -5 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g + 28*g - 36*g**2 - 62*g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 68. Suppose 0*h + h = 31. Suppose k - o = h. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/12 + i**3\/3 + 63*i**2\/2 - 6*i. Let d be k(0). Suppose 2*p - y + d = 4*p, -5*p + 158 = 3*y. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 5:05 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -31 + -10 + 36\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1390567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 212, 2, 28289 in decreasing order.\nAnswer: 28289, 212, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1713, 1719, 1725, 1731, 1737, 1743?\nAnswer: 1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*p - 40*p + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-1)\/(-2))*18. Let p = y + 38. Let i = 14 + p. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/1526039?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*k - 15 = 0, 3*t - 2*k + 0 = 10. Let p be 3\/(3 - -6)*t. Suppose p = 2*a + 3*a - 35. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghhhbhbgggv. Give prob of sequence hgg.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39\/11 or -4?\nAnswer: -39\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -63. Suppose q + j + 34 = 3*a, -2*q = 0. Solve -4*u = -0*u + o - 10, 5*u + 5*o = a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466616?\nAnswer: 2, 17, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + -4 - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*s - 20, -4*l + 9*l + 4*s - 36 = 0. Let t = -65 - -64.6. Which is the second biggest value? (a) l (b) t (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/((-80)\/7)*3\/(735\/(-10))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4473 (base 13) to base 15.\nAnswer: 2c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**5 + 176*w**4\/3 - 368*w**3 - 744*w**2 - 508*w\/3 + 152 = 0.\nAnswer: -19, -1, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3 - 702*o**2 - 723*o + 4230 = 0. What is o?\nAnswer: -3, 2, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, g: 4, i: 1}. What is prob of sequence gbgb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(2*c**2 + c - c + (0 - 1 - 1)*(5*c**2 - 2*c**2 - c**2) - 3*c**2 + c**2 + 3*c**2 + 205 - 205 - 7*c**2) as s*c**2 + z + r*c and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9876682l in millilitres?\nAnswer: 987.6682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -8*u - 35200. Round u to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or -1149750?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-270)\/81*(-1 - -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 36. Let f be ((-4)\/h)\/((-7)\/105). Let r = -23 - f. Calculate the remainder when 10 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 150 + 5?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23231211212 + -3?\nAnswer: -23231211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26822 is divided by 6021?\nAnswer: 2738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*c - 25 = 0, -z = 7*c - 2*c - 29. Let y(a) = -z*a - 8*a - 3*a. Let f(h) = -3*h + 1. Let u(s) = 10*s - 4. Let d(r) = 4*f(r) + u(r). Give y(d(m)).\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -762, -752, -736, -714, -686?\n\"Answer: 3*b**2 + b - 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 13)*(-4*c**5 - c**5 + 2*c**5).\nAnswer: 30*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -532.36 + 0.36. Let n = 529 + r. Which is the second smallest value? (a) -4\/7 (b) -3\/64 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 2*v - 6, -3*j = -6*j - 4*v - 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 508 and 67818?\nAnswer: 135636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -1\/30*o**4 - 1\/225*o**6 + 0 + 1\/50*o**5 + 0*o**2 + 16*o + 1\/45*o**3. Factor h(j).\nAnswer: -2*j*(j - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 2, h: 1}. Give prob of sequence eem.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 43*p**2 - 2. Let j be v(2). Let d = j + -115. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -12. Which is the nearest to 1? (a) 5 (b) p (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**3\/3 + 5*v**2 + v. Let t be f(-9). What is the greatest common factor of t and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5467, -44326, -149799, -355192, -693811, -1198962, -1903951?\n\"Answer: -5551*z**3 - z**2 + z + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 4*t**2 + 4. Let a(u) = -u. Give g(a(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 - -2.5. Let v = -4.10048 - z. What is v rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 5*b**2 + 0*b + 0*b**3 + 0 + 0*b**4 + 1\/15*b**5. Let x(j) be the second derivative of -j**4\/6 - 16*j. Calculate f(x(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - i)*(4*i - 2*i + 0*i) - i**2 - 2 + 7*i**2 + 3.\nAnswer: 4*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*z - 10 = 0, 2*w - 16 = -2*z + z. Suppose 100000 = w*p - 2*p. Round p to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 15 = -2*b. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -5 (b) -1 (c) -8\/3 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5770ac (base 14) in base 9?\nAnswer: 5537183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113567, -2345, -3\/8 in increasing order.\nAnswer: -113567, -2345, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4172, 8343, 12512, 16679, 20844, 25007, 29168?\n\"Answer: -n**2 + 4174*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 895 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 88734.79ng?\nAnswer: 0.08873479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1483402200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -9*q**4\/4 - 17*q**3 - 33*q**2 - 24*q + 23. Factor p(l).\nAnswer: -3*(l + 1)*(l + 4)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - x**2 - 4*x**2 + 4*x + 6*x**2 + 5. Let a be d(-2). Find the first derivative of t**3 + t**a - t**3 - 3*t**3 - 1 wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*x**5 - 3*x**2 + 40.\nAnswer: -2580*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1520 and 26315.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2 + 227548*a + 1137765 = 0. Calculate a.\nAnswer: -5, 227553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**7\/1680 - s**6\/30 - 7*s**5\/60 + 2*s**2. Let m(x) be the third derivative of v(x). Is m(11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1099*g**4 + 7770*g**3 + 291674*g**2 + g + 14 wrt g?\nAnswer: 26376*g + 46620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-2) + -5)*(-10 - 0). Suppose u + j*h = 2*h + 133, 4*h = 8. List the prime factors of u.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -129. Suppose f = -0*h + 5*h. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1\/63, -3\/4, 15\/28, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7101 + 1785808.\nAnswer: 1785807.2899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*s + 23*s = -228 - 521 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-130)*4\/(-6). Let l = 0.3 + 0. Let y = 0.01 - 2.01. What is the smallest value in y, p, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 4:30 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/190 and -35\/18?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 24*u - 4. Let x be z(4). Suppose 2*g + 0*g - x = 0. Let b = g - 27. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c - 114*c + 11*c.\nAnswer: -121*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37955373 - 3*h**3 + 37955373.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bubbbubb. What is prob of sequence bub?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 + 103210?\nAnswer: 103033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = -4*r, 10 + 10 = -5*r - 5*o. Suppose r = 21*t - 17*t - 4. What is the remainder when 11 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.1268, 4, 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = -w. Let f be 24\/(-10)*(2 + 3). Let r = f + 28. Calculate the greatest common divisor of w and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6313081 to the nearest integer?\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 57216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 25526593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (2\/(-4))\/((-1)\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*l - 790, 3*l - 3*m = -762 + 12. Let v = -96 - l. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 4*k - 3. Let d(x) be the second derivative of -x**4\/3 - 2*x**3 - 4*x**2 - 3*x. Let b(t) = 6*d(t) - 20*o(t). Factor b(c).\nAnswer: -4*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-1 - (-10)\/4). Let r = 10 - l. Find the second derivative of 2*t + 0*t**r + t**4 - 2*t**4 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.355 - 1.455. Which is the second smallest value? (a) -0.132 (b) -3 (c) 1\/6 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 11*k - 24. Let c = 49 - 42. Let v be g(c). Suppose 2*n + n - 113 = -f, 186 = 5*n + v*f. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-12)*6\/4. Solve 2*l - 2 = a*x, 2*x - 3*l = -4*l - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1049903, -1\/5, 2\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460 divided by 115.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121112 - 120212?\nAnswer: 10000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.101 times -0.1\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 8452.11?\nAnswer: 8457.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/5 + -5 + 6\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 (base 10) in base 5?\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 842144167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -12, -69 in descending order.\nAnswer: 9, -12, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49671 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105206, 105173, 105152, 105149, 105170, 105221, 105308?\nAnswer: 105437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/30*(-2*6368)\/2. Let h = 1688 + b. Let f be 2\/(h\/(-195)) + 2\/(-8). Is f smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(102)*-2)\/sqrt(6))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - 2*s**3 + 3*s**3)*(0*s - 2*s + 3*s) + 288*s**4 - 259*s**3 + 259*s**3 + 3*s**3 + s**4 - 3*s**3.\nAnswer: 287*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, -3, -6, -11, -18, -27?\n\"Answer: -v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -117. Let d(t) be the third derivative of 0*t + 0 + 1\/105*t**7 - 1\/30*t**6 - 1\/840*t**8 - t**2 + 1\/15*t**5 + 1\/15*t**g - 1\/12*t**4. Factor d(f).\nAnswer: -2*(f - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**3 - 131*v - 3. Let i(a) = -2*a**3 - 87*a - 2. What is -5*h(m) + 7*i(m)?\nAnswer: m**3 + 46*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1743 divided by 249?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 24*i**3 - 2*i + 1. What is m(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -10. Calculate the smallest common multiple of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 40*w - 191. Is 23 a factor of t(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 292 - 132. Calculate the greatest common divisor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -791 + 11293. List the prime factors of k.\nAnswer: 2, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**3 + 6*o**2 - 30*o + 6. Let z(g) = 5*g**3 + 5*g**2 - 29*g + 5. Give 5*p(m) - 6*z(m).\nAnswer: 5*m**3 + 24*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84\/(((-84)\/128)\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 120*r + 19. Let z(c) = c**2 - 11*c + 6. Let a be z(11). Is t(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1390, -1384, -1374, -1360, -1342?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c0 - -3?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 335 = -525. Let w be (-96)\/z + 20\/(-50). Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21202111 + -1?\nAnswer: -21202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2 = -r. Let g be 10\/6 + r\/3. Solve g*y + 0 + 2 = -2*o, o = -4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/((-6)\/54). Suppose -3 = j*p - 12. Is (-3)\/1 - (-30)\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*r - 13, -3*l = 2*r - 0*r - 17. Let g be (-3)\/4*l\/9. Let y = -5.8 + 5.9. Which is the nearest to -3? (a) y (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.8571 + 0.1429. Which is the fourth smallest value? (a) -1\/6 (b) 4 (c) x (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 5:14 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 4*n - 22, 3*h = 3*n - 4*n + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*s + 2*j - j, 20 = -4*s - 5*j. Suppose 3*c - 16 - 80 = s. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 8:58 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 18924346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(704) + sqrt(704)*-2)*3)**2 + ((-1 + sqrt(891))**2 + 3 - 4*(1 + sqrt(891))))*6 + -4.\nAnswer: -324*sqrt(11) + 43358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*o + z, 2*o - 7 = 5*z + 14. Let p = 15 - 8. Suppose 2 + 3 = 4*v + m, 3*m = 4*v - 17. Solve -v = -o*i + p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 7*b**2 + 7*b - 1. Let p be m(6). Let w(h) = -3*h + h - 2*h + p*h. Let s(y) be the second derivative of 2*y**3\/3 + y. Give s(w(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -25*h - 25*h - 28*h + 75*h. Let n(w) = -2*w - 4. Give x(n(d)).\nAnswer: 6*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/7 (c) 360504\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, r: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 5014?\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*i - 20, 0*i - 5*c = 2*i + 15. Let q = 0.0086 + 2.9914. What is the nearest to -1 in q, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*c + 283*c = 120. Calculate the highest common divisor of c and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5595, 13703, 27219, 46143, 70475?\nAnswer: 100215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2295.096 - -2317. Let c = -22 + j. What is c rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 458158, 21, -0.4 in decreasing order.\nAnswer: 458158, 21, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 21*m**2 + m + 27. What is u(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -105, -264, -425, -588, -753, -920, -1089?\n\"Answer: -u**2 - 156*u + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-80)*(-270)\/(-324)*8\/(-10). Which is the nearest to -3? (a) p (b) -10\/7 (c) -2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, j: 1, a: 3}. What is prob of sequence jn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1452 (base 8) to base 5\nAnswer: -11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - 40)\/14 - 42\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*t**2 + 732*t**2 + 1100*t**2.\nAnswer: 1420*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/36 and 127\/1062?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14832, 2\/11, -25 in descending order.\nAnswer: 2\/11, 0.14832, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 262*j**2. Let v(d) = 168572*d. What is v(q(y))?\nAnswer: 44165864*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 564678503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -0.6, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2785*u = 2789*u - 16. Suppose 5*i = -4*q + 159, 2*i - i + 69 = 2*q. Calculate the greatest common factor of q and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:40 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4418 - 86682\nAnswer: -82264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4\/4 - 249*n**3\/4 - 243*n**2\/2.\nAnswer: -3*n**2*(n + 2)*(n + 81)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 7778*h + 309545. Give n(-40).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/64)\/((2\/(-1))\/(-4)). Let w(p) = 4*p**3 - 2*p + 2. Let u(j) = j - 1. What is m*w(b) + 2*u(b)?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*m - 3*l, -m = m - 5*l + 19. Suppose -m*a + 6 = 0, 2*o + 5*a + 36 = 3*o. Suppose -4*f + o = -14. Calculate the highest common factor of f and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18720185 to the power of 1\/2, to the nearest integer?\nAnswer: 4327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28505, -56912, -85333, -113774, -142241?\n\"Answer: -j**3 - j**2 - 28397*j - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2227493584.0948 + 0\nAnswer: -2227493584.0948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 6:14 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(128)*1.\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 477 - 1177. Let v = 700 + d. Solve v = -f - 2*q - 0*q, 0 = 2*f + 2*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163637, -1309322, -4419025, -10474754, -20458517, -35352322?\nAnswer: -56138177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 5*q. Let v be j(-5). Let t = -0.0784822 - -0.1784822. What is the nearest to v in 5, 1\/4, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7. Let b = -3 + 2.8. What is the closest to 0.1 in b, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*1)\/(1\/2). Let q(c) = c - 1. Let o be q(4). Let k = o + -6. Let h(v) = -4*v**2 - 2*v + 5. Let a(p) = -5*p**2 - 2*p + 6. Calculate k*a(r) + y*h(r).\nAnswer: -r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(304) + 3 + (sqrt(171) - -2*sqrt(171))))**2.\nAnswer: 2808*sqrt(19) + 115920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100110 (base 2) to base 10\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 10 + 21 = t, -t = 2*g - 64. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 83, -1026 in descending order.\nAnswer: 83, -17, -1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 3604?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 31 = -1620. What are the prime factors of q?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4381.96 - -4377.56. Let d = -5 - -1. Sort d, k, 5 in decreasing order.\nAnswer: 5, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 2*b - 4. Let g(x) = x**2 + 3*x - 5. Let z(f) = -2*g(f) + 3*l(f). Let u be z(0). Is (40 - (u + -2)) + -4 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2\/5, 3, -1\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 735\/163196 or 1?\nAnswer: 735\/163196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(2\/4). Suppose 1 = 4*u + 5. Let f = u + 4\/3. Is a smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 c when four letters picked without replacement from gkkc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:30 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.3 + 0.3. Let s = -0.87 + -0.13. Which is the second smallest value? (a) 3 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i - 8*i + i**3 - 4*i - 1 as s + v*i**3 + a*i**2 + g*i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1730769 divided by -1?\nAnswer: 1730769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2702*j - 2 + 1258*j + 5858*j - 1704*j + (-4 + 2 + 0)*(2*j - 6*j + j).\nAnswer: 8120*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.3? (a) 1\/3 (b) -68.53 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 at most as big as 292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/6*18\/6. Let s be (-1)\/(5 - 230\/45). Solve -4*c + s*c = -z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:09 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -4, 34, 2\/49?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 1\/48*r**7 + 0 + 13*r + 1\/20*r**6 + 0*r**2 + 0*r**3 + 3\/160*r**5 - 1\/48*r**4. Solve t(j) = 0 for j.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwnawaoanwanno. Give prob of sequence onon.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-26)\/2 + 7)*191411\/(-22). What is p rounded to the nearest one thousand?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16*(-2)\/(-10))\/((-441)\/(-2205))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/60 and -13\/4092.\nAnswer: 20460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -3*i - 13. Let d(a) = 14*a**2 + 9*a - 8. Let c be d(i). Solve -l + 9 = 4*w, -2*w + 4*l - c = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -1 - 8*t - t + 0*t + 8*t. Suppose 10*w - 5*w - 60 = 0. Suppose 5*n - w = n. Determine q(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-2 + 7))\/1. Let m(h) = -h**3 - 5*h**2 - 4*h + 4. Let r be m(j). Let b = 9 + r. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9 - 17 + 3*x + 3 - 5. Let n be o(11). Sort -3, n, 3 in decreasing order.\nAnswer: n, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)*b)**(4\/25)\/(b\/b**(-1))**(-5\/19) assuming b is positive.\nAnswer: b**(1054\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-6)*(-86)\/134. Let b = 4\/25 - 343\/1675. Let t = w - b. Sort -4, t, -0.3 in descending order.\nAnswer: -0.3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12147 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00758 to four decimal places.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmtkhhhmmemhm. What is prob of sequence kt?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -4 (b) 124 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*a = -2*z + 6, -3*a = 2*z - 12. Let x be z\/24 + (-26)\/8 - 32. Let m = x + 46. Solve 3*o = 6*q - m*q + 3, -4*o + 4 = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73809 - -221426\/3. Let v = 0.1 - -4.9. What is the nearest to -2\/3 in 0.01, v, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11482 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 63*d + 9. What is z(2)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 5. Let i = s - -23. Let p(d) = -11*d**2 - 13 + 2 - 6 - 15*d. Let o(y) = 5*y**2 + 7*y + 8. Determine i*p(g) + 13*o(g).\nAnswer: -g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {u: 2, d: 5, i: 1, l: 3, z: 1, g: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61834446 divided by 3?\nAnswer: 20611482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -9362\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -7. Do l and -39 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o*o**(1\/4)*o)**(-31) assuming o is positive.\nAnswer: o**(-651\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -42 - 40 + 82 + 22*m. Determine n(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = 5*d. Suppose 40 = 4*r + y + 3*y, r = 3*y + 10. What is the remainder when r is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, -773, -1567, -2623, -3935, -5497?\nAnswer: -7303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from makammaaikammkazaaaa. What is prob of picking 1 m and 1 z?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*m**4 + 0*m**5 + 36*m**5 - 33*m**5 + (0*m**3 - m**4 + 0*m**3)*(0*m - m + 3*m).\nAnswer: m**5 - 48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4688389459.\nAnswer: 13, 43, 8387101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24698 and 2.\nAnswer: -49396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-448)\/(-128)*4\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 426 and 5707690.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659 = 5*k + 4*d, -5*k + 6*d = d - 695. What is the first derivative of -114*w + k - 31*w - 21 + 0*w wrt w?\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10957604*c**2 + c + 2911181.\nAnswer: -21915208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - (-2 + 5 - 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 885443797 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n. Let r(o) = 2905*o**2 - 2*o - 15. Calculate r(y(m)).\nAnswer: 26145*m**2 - 6*m - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42\/(-8))\/((-18)\/(-48)). Let o be 9\/12*2*h. Let z = o + 26. Is z at least 16\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8 + 3*u**2 + 17 - 2*u - 2*u**2 + 6*u**2. Let i(w) = -6*w**2 + 2*w - 8. What is 6*i(z) + 5*q(z)?\nAnswer: -z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 - (-423)\/((-72)\/(-8)). Solve -15 = -57*g + i*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3599 + 3839. What is the smallest common multiple of 440 and b?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2656794 is divided by 738?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*z - i - 4672 = 170*z, i = z - 2337. List the prime factors of z.\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:31 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*s = 10 + 5, -9 = -5*o + 3*s. Suppose 3*i - 7*i + 2948 = o. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-20)\/o*o*o)*(o**16\/o*o)\/o assuming o is positive.\nAnswer: o**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 13) to base 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1093460 or -1093462?\nAnswer: -1093460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 4*z - 5*z)*(-1 + 0 + 23) as t + j*z and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 4*q + 2, -5*s - 11 = -2*q + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2081362.\nAnswer: 2, 23, 45247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + -121220?\nAnswer: -121241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 6. Suppose -4*n - f + 18 = 0, -n + 4*n - 20 = -4*f. Let g be i(n). Calculate the remainder when 9 - -5 - (g + 5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*j + 166*j**3 - 411*j + j**2.\nAnswer: 166*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 10. Let q be b(17). Let t(w) = w - 3. Suppose -u + 17 = 6. What is the least common multiple of t(q) and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, k: 1, n: 6, f: 4, a: 7}. What is prob of picking 1 f and 1 k?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/(8\/((-120)\/(-5)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = 2*c + 11, -w - 2 = 2*c. Let g be (-3)\/3*w - 15. Let y = g - -8. Let p(v) = v**3 + 6*v**2 + 6*v + 3. Calculate p(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*j*o*w - j*w**2 - 29*j*w - 8*o*w**2 + w**2 wrt o?\nAnswer: -16*j*w - 8*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uas when three letters picked without replacement from aaaaaafafsaaefauea?\nAnswer: 11\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:41 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273151275 + 411*t**2 - 273151275.\nAnswer: 411*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3703425 divided by 5.\nAnswer: 740685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 + -0.6. Let h = 2 + r. Suppose -2*u - 1 + 11 = 0. Which is the third biggest value? (a) -5 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.403146 centuries in years?\nAnswer: 140.3146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 4*j - 1. Let o be z(5). Suppose -8 = o*k - 84. Let u = -17 + k. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -387*s + 8292. Give i(25).\nAnswer: -1383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 - 0.06. Let z = j + -0.12. Let m = 3.335 - 3.535. Are m and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s**(-1\/8)*s)\/s*s*s*(s**(1\/14)\/s)\/s*s*s assuming s is positive.\nAnswer: s**(165\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-11)\/(-44))\/((-4)\/(-1776)) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41.7 - 13.3. Let d = l - 65. Let j = -120.77 - d. What is j rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272110 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - ((-5 - 8) + -8)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147364093?\nAnswer: 83, 1775471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 729168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 6*f + 5. Let n be w(5). List the prime factors of ((-5)\/15)\/(n + (-1)\/129).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861442.9kg in milligrams?\nAnswer: 861442900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**8\/140 - i**5\/5 - 2*i**3\/3 - 23. Let r(u) be the third derivative of f(u). Find the second derivative of r(q) wrt q.\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 100 = -3*d. Let q = -35 - d. Suppose -q = p - 4*p. Solve -4*v - 13 = -3*h + 2*h, p*h = -2*v + 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 + 3*t**5 - 6*t**5 - 3*t + (-1 - t + 1)*(-5*t**4 + 3*t**4 - t**4) + 2*t**5 + 2*t**5 - 5*t**5 - t**2 + t**5 + t**2.\nAnswer: t**5 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(396) + (-1*sqrt(396) - sqrt(396) - sqrt(396)))**2 + (sqrt(396) + 2*sqrt(396) + sqrt(396) + 1)**2.\nAnswer: 48*sqrt(11) + 7918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1 - -3) + 0 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57225.\nAnswer: 3, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3*(-2 + 3))\/(4\/(-4)). Suppose -8*p + 3 = -37. Let x(a) = 7*a**3 + 5*a - 5. Let f(b) = -4*b**3 - 3*b + 3. Give j*x(o) + p*f(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-14)\/21) + 7. What is the nearest to -1 in -0.1, -3, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 29*t - 10. Let k be s(-6). Let h = k - -2026\/11. Which is the second smallest value? (a) h (b) -4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(5 + 11*h - h - 8*h).\nAnswer: 4*h + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**4\/12 + v**3\/6 + 3*v. Let m(h) = -4*h**2 - 2*h + 2. Let c(d) = 2*j(d) + m(d). Suppose c(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8004 * 0.1\nAnswer: 800.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694690 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 25336 + 19376 = 0. Solve 0 = -2*d - q + 1232 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by 1470.\nAnswer: -92\/735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*3\/2 + 126 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9463, -18312, -27159, -36004, -44847, -53688, -62527?\n\"Answer: y**2 - 8852*y - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y**3 + 499*y**2 - 498*y**2 + 19*y**3 + 37*y - 2 to g*y**2 + j*y**3 + v + w*y and give w.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 452\/(-152) - (-165000)\/(-4180).\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -37 times 2\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.334 - 0.634. Let s = -0.04 - -0.44. What is the nearest to u in 0.2, -2\/13, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82086294 and 1290665?\nAnswer: 410431470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(288\/(-1944))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u + 5*t + 10, -3*t - 6 = 0. Solve u = -s - 0*s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from ccuuqcuqcuqrhcqchcm?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1216) + sqrt(1216) - sqrt(1216)) + 3 - sqrt(1216)) + -4 - ((sqrt(1216) - sqrt(1216)*2) + 5 + 2*sqrt(1216) + 1))**2.\nAnswer: 96*sqrt(19) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*f + 90*f = -5*y + 9, -29 = y - 4*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -232210323033 (base 4) in base 12?\nAnswer: -4109a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**7\/840 - j**6\/60 + j**5\/24 + j**4\/12 - 3*j**3\/8 - 3*j**2 - 267. Factor s(p).\nAnswer: -(p - 1)**2*(p + 1)*(p + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715001433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16519682 and 52768?\nAnswer: 3298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018779177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 2*s = q + 300, s = 0. What is the greatest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111141431 (base 5) in base 9?\nAnswer: 826432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0425 + 390.0425. Let u = 390.0000052 - o. Round u to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1505 - 3.5505. Which is the fifth biggest value? (a) -1 (b) f (c) -5 (d) -0.01 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177 is divided by 1152.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 15 - -8) + 43?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1494 and 57104?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -3, 4, -2, -4 in increasing order.\nAnswer: -4, -3, -2, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-2)\/(-6) + 4. Let i be c\/((-24)\/9)*6. Let w = 11 - i. What is the remainder when w is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u + 199 - 199)*(-1 + 5 - 3).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 408593 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9134.532us to milliseconds.\nAnswer: 9.134532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16\/849 + 20552\/9339. Let q = 4 + 2. Find the common denominator of j and (2\/(-8))\/(q\/(-232)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/15)\/(1\/3). Let u(i) = -i**2 - 28*i - 192. Let v be u(-16). Sort v, 11, z, 4 in descending order.\nAnswer: 11, 4, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 14 = q. Let k = 247 + -246. What is the greatest common divisor of k and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1250 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 2:47 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.012 from 20.\nAnswer: 20.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5 - 15*d**4 - 67*d**3 - 69*d**2 + 68*d + 84 = 0?\nAnswer: -7, -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1128 (b) -0.4 (c) 4 (d) 9 (e) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 - 88056\/(-48)*6 is divided by 212.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*q - 8 = 0, -2*q + q = 5*z + 67. Let l be z\/(-10) + 4\/(-10). Calculate the greatest common factor of l and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107839 divided by 2?\nAnswer: 107839\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 + -14431?\nAnswer: -14331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-28)*-7 - 3*1. Do f and 7\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106828265 + 4915095175\/46. Let r = 21629 - d. What is the common denominator of r and (123\/(-25))\/(8\/20)?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 202, 281, 352, 415, 470, 517?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + t)*(0 + 4 - 3) - 3*t + 2*t + 3*t + (2*t + 0*t - 3*t)*(-2 + 1 + 2) + 4*t - 4*t + 2*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 5*c - 6. Let y be n(-6). Suppose 0 = -3*q - y*q + 54. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 3*s + 2. Let w = 4 - 4. Suppose w = -p - 3*p + 20. Calculate n(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**4\/24 - d**3\/2 - d**2. Let y be x(-8). Suppose 0 = 4*m - y*m + 5. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 = 0, 3*m = -2*j - 3 - 0. Let t(k) = 2*k**3 - 3*k**2 + 4*k - 8. Let y be t(2). Let f(a) = -y - 2*a + 6*a - 4*a + a. Give f(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.02, -1661, -0.3, 3, 33?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -26. What is the tens digit of (-175)\/(-5) - j\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -519, -760, -1157, -1710, -2419?\nAnswer: -3284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**8\/336 + 3*v**6\/40 + 13*v**4\/6 - 35*v**2. Find the second derivative of q(t) wrt t.\nAnswer: -20*t**3 + 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(75)*5.\nAnswer: -125*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 10 - 13*n**2 + (-6 + 4 - 66)*(1 - 2*n + 2*n**2 + 2*n).\nAnswer: -149*n**2 - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:30 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -38922 (base 11) in base 15?\nAnswer: -11774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 879 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + m + 1347 - 1718 to the form u + z*m and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1218 divide 18109534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40.6 + 40.3. Which is the closest to 2? (a) 2\/7 (b) n (c) -6 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -547, 0, -3 in increasing order.\nAnswer: -547, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8676261 centuries in months?\nAnswer: 1041.15132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 11*a**2 - 11*a + 8. Let k be n(10). Let q = 2 + k. Suppose q = 2*j + 5*z - 14, -3*j + 30 = -0*j + 3*z. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14453174026797 less than 3?\nAnswer: -14453174026794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*f = 968, 6*n - 4908 = n + 2*f. What is the greatest common divisor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18868?\nAnswer: 2, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 593719.6ml?\nAnswer: 593.7196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:13 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.434633 + -0.3779523. Let k = m - -0.006314. Let o = k - 0.063. Round o to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825433 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 9165 + 1105 = 0. What is i rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6338 (base 12) to base 16.\nAnswer: 2a5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -1. Suppose -4*g + r - 5 = 0. Let p = g - 2. Which is smaller: p or -6\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 108*r**2 + 4*r**4 + 64*r + 9*r**3 + 19*r**3 + 16*r**3.\nAnswer: 4*r*(r + 1)*(r + 2)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43164 and 6.\nAnswer: 258984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 23 - (-22)\/(-121)*55?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 446, 433, 402, 347, 262?\n\"Answer: -m**3 - 3*m**2 + 3*m + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5) + 46 + -17 + -33.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-9) - (-2)\/9. Let k(f) = 4*f**2 - f. Let u be k(m). Suppose -u*d + 9 + 5 = -y, 5*d = y + 20. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*j*x + 9901*g*j - 193*g*x + 34*g - 2*j*x - 2*j - 4*x wrt j?\nAnswer: -2*g*x + 9901*g - 2*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1025 - -1025.4. What is the closest to 0 in -1\/4, 3.5, y, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = r + 4*j, -8*j + 12*j + 1 = 5*r. Put r, 34, 3, -4, 13 in decreasing order.\nAnswer: 34, 13, r, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*k + 129*k = 601*k + 1746 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2302312 (base 6) to base 2\nAnswer: 11100100111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80\/5009 or 1?\nAnswer: 80\/5009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 9*s**2 + 6*s**3 - 2*s**3 + 9*s**2.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3\/5 - 24516*j**2\/5 - 24518*j\/5 = 0?\nAnswer: -1, 0, 12259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -358408 (b) 4 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxxg when four letters picked without replacement from xknxxkgkknkkkng?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381965 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 32*j - 149. Let z be s(10). Let m = 186 - z. Solve m = -5*g + 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 7:45 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1284 and 80036?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6611.589ns to seconds.\nAnswer: 0.000006611589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, 3, 0, -5, -3, -5231 in descending order.\nAnswer: 126, 3, 0, -3, -5, -5231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Let f(d) = -d**3 + 8*d**2 + 9*d + 8. Let z be f(9). Suppose 0 = n + n - z. Let x(g) = 3 - 3 - n*g. Determine x(q(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1965434947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 140755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + q - 447 + 896 - 449.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2980270480 to the nearest one million.\nAnswer: 2980000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 282*s - 12 - 559*s + 273*s to the form k*s + l and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - x**2 + 0*x**2 + 4*x**2 + 0*x**2 - x**2 + (-3*x - 2*x - 2*x)*(0*x + 5*x - 4*x) + 3*x**2 + 0*x**2 - 4*x**2 to r*x**2 + f*x + a and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000847203105 rounded to 7 dps?\nAnswer: 0.0000847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(21) + -1*sqrt(336))\/(5*-2*sqrt(14)\/sqrt(2)).\nAnswer: 7*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 0 - 2\/10. Let m = g - -47\/35. What is the second biggest value in 3\/7, 5, m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 7*n**2 - 9*n - 9. Let g(y) = y + 2. Let t be g(-10). Let d be x(t). Sort 5, 0.5, d in decreasing order.\nAnswer: 5, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**4\/4 - 5*o**3\/3 - 3*o**2 - 4*o - 3. Let h be s(-4). Solve -h*m + 18 = -3*g + 4*g, 3*g + 6 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 12. Let c(n) = n - 9. Let y be c(f). Is (y + (-24)\/4)*-2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3825?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 2*c**2 - 3*c + 7. Give u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from jjgjgjjj?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -571857 divided by -18447?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 5.5. Let k = -47 - -33. Let z = k - -16. What is the closest to z in s, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 5, -0.2, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666225037.\nAnswer: 269, 2476673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -693793*s**5 - 951654*s.\nAnswer: -13875860*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -13 (c) 1 (d) 5 (e) 287\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88.59 - 0.41. Let w = 89 + j. Which is the smallest value? (a) w (b) -2 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-80)*(-9)\/((-594)\/16)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43698 + -61. List the prime factors of f.\nAnswer: 11, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4362 - 2124. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 = 2*k - 4, 0 = 5*k - 15. Suppose -4*q + 20 + 12 = p. Let z = 0 + 22. What is the remainder when z is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/60 + 149*v**5\/60 - 37*v**4\/12 + v**3\/3 - 198*v**2. Find the second derivative of z(h) wrt h.\nAnswer: 12*h + 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1455)\/45 - -19) + 8 and -9\/989?\nAnswer: 2967","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2635, -6277, -10933, -16603, -23287?\n\"Answer: -507*x**2 - 2121*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 + 5*j**5 + 0*j**5 + (-2*j - 4 + 4)*(-2 - 3 + 4)*(-j**2 + j**2 - 2*j**4) + 2367*j**2 - 2367*j**2 - 721*j**5.\nAnswer: -723*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7160125 - -0.723. What is b rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 7*n**2 + 11*n - 16. What is the hundreds digit of o(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/27*-1)\/((-2)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 92678*w + 106927040.\nAnswer: 2*(w - 45155)*(w - 1184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -27 in decreasing order.\nAnswer: 4, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 104602 less than or equal to 104591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -u + 28, -2*u + 61 = -0*u - 3*d. Suppose 0 = -m + u + 10. Suppose 0*t + 3*t = m. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.391158 kilometers in nanometers?\nAnswer: 1391158000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 2*d = 2*d. Let a(c) be the third derivative of d*c + 0*c**4 + 5*c**2 + 1\/30*c**5 + 0 - 1\/3*c**3. Determine b, given that a(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12424*d**2 + 19*d - 20. Let n be b(-20). Round n to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + -50. Solve -5*m + 0*m + 10 = -b*f, -2 = -3*m + 2*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 12*s**2 - 13\/15*s**5 - 2*s**4 - 2\/105*s**7 - 8\/3*s**3 + 0 - 1\/5*s**6 + 0*s. Factor o(m).\nAnswer: -4*(m + 1)**2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33183624\/19 < -1746508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8707*y + 8679*y - 17386*y - 832*y**2.\nAnswer: -832*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 47685040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let j(m) be the third derivative of -m**4\/3 + m**2. Calculate j(z(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -909 < -31\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 36\/(-2))\/1. Let u be -4*((-9)\/(-4))\/(-3) + -24. Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 and 54?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j - 2*j)*(7*j**3 - 3*j**3 - 3*j**4 - 2*j**3) + (j + 1 - 1)*(-j + j - j**4).\nAnswer: 17*j**5 - 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 16) in base 13?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 29 = 5*v, -10*v + 6*v = 3*z + 8. Solve b + z*b + 10 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8859539 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730023?\nAnswer: 3, 7, 34763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 3*t**4\/4 - 3*t**3 + 9*t**2\/2 - 3*t + 2. Factor k(f).\nAnswer: 3*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**4\/3 + 21*c**2\/2 - 36*c + 19. Let q(j) be the first derivative of x(j). What is the first derivative of q(s) wrt s?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 381\/2111?\nAnswer: 381\/2111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1205193*d + 1205193*d + 6 - 104*d**2 - 8. Let f(q) = 7*q + 5. Let x(u) = 6*u + 4. Let n(r) = 4*f(r) - 5*x(r). Calculate z(n(i)).\nAnswer: -416*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 13 + 9)*((2*d - 2 + 2)*(0 - 3 + 4) + 3 - 3 + 2*d - 2*d - 5*d + 2*d + (2*d - 2*d + 2*d)*(-5 + 2 + 1)) in the form l*d + s and give l.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o**2 + 2*o + 3. Let c be u(-2). Let a = c + 0. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -19. Let y = q - 3. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 19. Let b be u(24). Let g(a) = a**2 + 9*a + 21. Let k be g(b). What is the first derivative of 2*m + k - 32*m + 11 wrt m?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*k**2 + 408*k**2 - 6217*k**3 + 6203*k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**4 + 285*j**3 - 805*j**2 - 285*j + 810 = 0.\nAnswer: -1, 1, 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = -10*j - 10*j. What are the prime factors of (j - 384\/(-3))\/(2\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/(-342)*(-54)\/8*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 + 8 - 5 - (1 - -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1\/208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 7*r**2 - 6*r. Let y be p(5). Suppose -5*a + 2*a = -3*z - 129, -4*z - y = 0. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 8:28 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmm. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-16) + (-857)\/2. Let c = -272 - s. Suppose -c - 651 = -j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5477*k**3 - 2968*k**3 + 6155*k**3 + 1549*k**3 + 3864*k**3.\nAnswer: 14077*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 50, 66, 82, 98, 114?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -80 + 74 - (-6 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*i. Suppose 4*p - 2 - 6 = i, 4*p - 3 = 5*g. Solve -g + 0 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/260)\/((-16)\/80)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*q**2 - 2376*c*q + 619959*c - 92*q**4 + 4 wrt q.\nAnswer: 4*c*q - 2376*c - 368*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10834.\nAnswer: 2, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4805, -1\/3, -0.2, -2, 0.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*h + 3037715 = -6878266. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15 and 12466 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -710*q**3 - 721*q**3 - 15*q**2 + 1411*q**3 - 3 in the form x*q**2 + g*q + o + h*q**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + -1 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.381 + 8.3. Let b = 0.12 + k. What is b rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25245202 (base 6) to base 2.\nAnswer: -11000110111111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9217676 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001825336 to five dps.\nAnswer: 0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -53?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - (-3 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 2*v + 315. Let m(u) = -3*u**2 + 5*u - 945. Determine 3*m(k) + 8*o(k).\nAnswer: -k**2 - k - 315","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*s + 118*s + 42*s + 106*s + 89*s.\nAnswer: 105*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -9593, -5, 5, -0.4 in ascending order.\nAnswer: -9593, -29, -5, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*j**3 - 19*j**3 + 32*j**3 + (2*j**2 - 4*j**2 + 0*j**2)*(-3 - 2*j + 3) - 2*j**3 + j**3 + 0*j**3)*(1 - 1 - j**2).\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*1*-6*(-6)\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1566358 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 876 = 25*c. Let w = 164 - c. Let k be (-2)\/(-6) + (w\/6)\/(-8). Solve -m - 7 = -k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qee when three letters picked without replacement from qeqeq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248 by 62.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023019551 to 5 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, 81, 4, 0, 1.\nAnswer: -13, 0, 1, 4, 5, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(1*(-12)\/8). Suppose -3*a + 5*y = 19, -5*a - 5 = 2*y - 5*y. Let v be (-5)\/45*18\/(-4)*6. Sort 4, a, v, c in decreasing order.\nAnswer: 4, v, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.3 + 12.3. Let s be (1\/5)\/((-2)\/2). What is the third biggest value in s, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 844 or 845?\nAnswer: 844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3768 and 1.4966?\nAnswer: 0.56391888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 17 - 34*f + 18 + 13 - 44 + 35*f. Let x = -1 - -7. Give o(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 9. Let a be x(-9). Suppose 4*g = g + a. Suppose -5*y + 6*o = o - 40, 4*y - 16 = -4*o. Calculate the greatest common divisor of g and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/4*(-72)\/42. Let g be (-10)\/(-60) + 2903\/d. Calculate the highest common factor of 44 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 1312455760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqyk when four letters picked without replacement from ykkkyyykyyqvkkk?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -3. Let m = 12.01 + f. Round m to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4270 and 39650?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x - 223. Give u(-52).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*a + 3*j = 3, -3*a + 4*j - 4 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 326 - 488. Let t = -152.1 - p. Let y = 9.900215 - t. What is y rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393135852 to the power of 1\/4, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.38, 5, 517.4?\nAnswer: 517.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 5. Let g be y(-5). Let c = g + 1. Calculate the common denominator of 1118\/(-255) - (-10)\/170*2 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*i + 265 = 0, 3*w - 31*i - 245 = -36*i. Calculate the remainder when 18951 is divided by w.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36242 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 650.562 to the nearest ten.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -61, -123, -227, -385, -609?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2730*v = -2678*v - 3133936. Is 38 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16\/95 + -14\/95. Is x at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.03001161?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -159 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n**4 + 7*n**4 - 7*n**4)*(3 - 2*n - 3) + (-n**3 + 9*n**3 + n**3)*(-17*n + 17*n + 10*n**2).\nAnswer: 70*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, 0.102, -5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 31 = 19. Suppose 3*a - 41 = -2*m, -3*m + 2*m = -3*a + 2. Calculate the remainder when l is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(325)*2 + 4 + ((2 + -2*sqrt(1872) - sqrt(1872)) + -3*sqrt(1872)*-2)**2.\nAnswer: 154*sqrt(13) + 16860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2625476*y**4 + 1720226*y**2?\nAnswer: -63011424*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a = -35*a + 20. Suppose -220 + 50 = -a*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d91a0 (base 15) to base 13.\nAnswer: -1b1725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b - 137. Let c be p(19). Is 6 - (c + -750 + 7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -21*c**2 - 22. Let l(x) = 10*x**2 + 11. Determine -2*f(s) - 5*l(s).\nAnswer: -8*s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 319 or 316?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -598 + 13?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1659 + 2419. List the prime factors of m.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1232a9 + 138?\nAnswer: 123425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sshhihph. What is prob of picking 2 s, 1 h, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -31*s**4\/12 + 14*s**3\/3 - s**2 + 41*s. Find the second derivative of a(u) wrt u.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 5:21 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-6*(2 + sqrt(153)) - sqrt(153)))*-6 + 4)**2.\nAnswer: 13104*sqrt(17) + 272596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2057) + (5 + -1 + sqrt(2057))**2 + sqrt(2057) + sqrt(2057) + (sqrt(2057)*-2)**2 + -2)*-1.\nAnswer: -10299 - 121*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 9*i + 2. Let u be t(-7). Calculate the common denominator of 31\/10 and (u*1)\/(-3 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 230 + 1180?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53\/4? (a) -456\/11 (b) -1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -69*x - 106 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.84 - 1.54. What is the nearest to -7 in -5, 0.1, -4\/5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 673*y + 2672. Give w(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - m - 12 = -4*m, -2 = y + 3*m. Let l(w) = -w**2 - 3 + 8 + 2*w + 4*w. Let o be l(6). Solve 3*v - y - o = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 15*h + 78. Calculate b(12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = 3*f + 27, 3*n - 24 = 4*f. Let z = f - -11. What is the units digit of (77\/22)\/(z\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35297*t**6 + 395*t**2 - 60*t wrt t?\nAnswer: 4235640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 17688?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) 12 (c) -147772\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 2137701?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125\/125)\/((-3)\/12*6*136\/51).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5330\/1089 or 6?\nAnswer: 5330\/1089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 + 189*z + 3. Let y be t(63). Sort 5, 2\/809, y, 1\/2 in decreasing order.\nAnswer: 5, y, 1\/2, 2\/809","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 75*j + 4439. What is the remainder when o(-52) is divided by 121?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 5*b + b + 2)*((-4*b - 3*b**2 + 4*b)*(2*b - 2*b - b**2) + (-8 + 169 + 24)*(b**4 + 3*b**2 - 3*b**2)).\nAnswer: 376*b**5 + 376*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1831*-0.398\nAnswer: -728.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3212262.99987 - -3212188. Let i = -75 - z. Round i to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 297\/7 + -5007\/119. Let k = v + -13\/85. Let g = 71 - 569\/8. Which is the closest to k? (a) 4 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106443 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 300 and 0.2.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/100*(-11 + 95) + -5. What is the second biggest value in 0.5, 31, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1)*((-16)\/(-6) - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*l + 237*l - 134*l + 4530 + 3480 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -520532 + -31442?\nAnswer: -552414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -79, -110?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 3*q - 2*r, -11 = 4*r + 9. Calculate the least common multiple of 140 and q.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 956 and 84.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.43 - -9.43. What is the nearest to z in -4, -1\/2, 2.2, -2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - h + 23 = 7, -4*h = 2*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30418 and 670?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -8.58\nAnswer: -8.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2157.\nAnswer: 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.9, 3, -1 in descending order.\nAnswer: 9.9, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22286, 22312, 22352, 22412, 22498, 22616, 22772, 22972?\n\"Answer: h**3 + h**2 + 16*h + 22268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*o**3 - 122*o**3 + 64*o**3.\nAnswer: -101*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5639*w - 1115*w - 1130*w - 1136*w - 1141*w - 1129*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {b: 4, d: 2, g: 2, n: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 8 (b) 38 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 2. Let l(y) = -y + 1. Suppose 0*w = 3*w - 3. What is w*p(o) + 2*l(o)?\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 - 60. What is the remainder when 31 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/9, -25875, -0.5, 26, 5, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2615003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6161 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1*l*l**(3\/7))**(3\/29))**(8\/7) assuming l is positive.\nAnswer: l**(576\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1000 - -1007. Let y(z) be the first derivative of z**2 - 12*z - 2. What is the least common multiple of y(r) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 2*j + j)*(0*j**2 + 0*j**2 - j**2) + 47*j**2 - 47*j**2 + 30*j**3 in the form g + p*j**3 + d*j + x*j**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 24. Suppose -74 - l = -2*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 8:22 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 7*d**2 - 196*d + 19. Calculate the remainder when 80 is divided by y(17).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:04 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 713532 and 6892572?\nAnswer: 7356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120201675421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {t: 1, h: 1, e: 2, b: 1, m: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -9479*v**2\/2 - 5267*v + 13154. Find the first derivative of l(n) wrt n.\nAnswer: -9479","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211*l**3 - 557*l + 71 wrt l.\nAnswer: -1266*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14555 (base 7) to base 14.\nAnswer: 169c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -253. Let n = -1121 - -5658\/5. Calculate the common denominator of n and 246\/4*16\/x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -307*o + 103*o + 102*o + 98*o. Let z(y) = 188*y**2 - 1. What is g(z(l))?\nAnswer: -752*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*12\/36)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - -2. Let c = 35 + k. Calculate the remainder when c is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -98 + 12\/(7 - 3) + -7. Let h = i + 100. Put 3, h, 5 in decreasing order.\nAnswer: 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180369793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15842303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4173.27 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11981972 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16678 and 12?\nAnswer: 100068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -25. Let m = 17 - t. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - m**2 + m**2 - 2*m**2 + 5*m**2 + 4. Determine j(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 10. Suppose -2*z - 8 = d, 2*d + 3*d = -n*z - 16. Let k(f) = -2*f + 8. What is the units digit of k(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6 - 2*d**2 + 4 - 9*d + 5*d**2 - 4*d**2. Give p(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, w: 1, c: 1, d: 1, s: 4}. Give prob of sequence sc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 827*u**3 - 460*u**3 - 207*u**3 - 436*u**3.\nAnswer: -276*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1228492839 to the nearest integer?\nAnswer: 35050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2165?\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 214\/47, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 0*s**7 + 0*s**5 + 0*s**2 + 0 + 0*s**6 + 8*s - 7\/6*s**4 + 0*s**3 + 1\/7*s**8. Find the third derivative of j(p) wrt p.\nAnswer: 960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 29*y - 11. List the prime factors of t(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/4, 82, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 12*m - 88600. Round m to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13254 and 30?\nAnswer: 66270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/((-3648)\/(-266))*2.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -2\/15*o**5 + 0*o + 0 + 0*o**4 - 1\/30*o**7 + 0*o**3 + 2*o**2 + 0*o**6. What is the third derivative of b(f) wrt f?\nAnswer: -168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 13484*l - 26984.\nAnswer: 4*(l - 2)*(l + 3373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 18 = 18. Suppose -q + 4*n + 73 = -x, 2*n + 527 = 5*q. Let t = q - 4. What are the prime factors of t?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 356 = 3*u, -4*u + 317 = 2*w - 141. Suppose 0 = -q - i - u - 9, -2*i + 383 = -3*q. Is ((-16)\/(-20))\/((-10)\/q) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 720 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1065.48 + -1091. Let h = i + 26. Let y = h - 1.35. Round y to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - 3*j = 101, 2*v - 5*j = 29. Suppose -5*d + 3*n + v = 0, 0 = 2*d - d - 5*n. Solve 8 = i - d*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2046 (b) 8\/5 (c) 4 (d) -7.6 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 65 = -33*j + 81. Let s = 11 + -6. Let m be s + (-3 - (-4 + -1)). What is the highest common factor of j and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -967*z - 10824 = 17*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -11 + 35. Let u be 0\/(-3)*2\/4. Suppose 0*m + m - 4*d - 27 = u, 2*m - 19 = d. What is the remainder when h is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9363 + 9366. Let s = 0 + 0.2. What is the closest to 41 in i, s, 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 0.11 (c) -4 (d) -1\/2 (e) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 833819928231.\nAnswer: 833819928233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, 115, 215, 369, 595, 911?\n\"Answer: 3*r**3 + 43*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -796*z - 803. What is o(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -991, -10566, -20141, -29716, -39291?\nAnswer: -48866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -13. Suppose r*h + 2*w = -w + 11, 4*w = -12. Suppose 3 = 5*g - 2, h*d = g + 44. Solve 4*t - 2*o + 6 = 0, 2*t - d = -3*t - 3*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 529 divided by -23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5. Let x(q) = -1. Let f(j) = d(j) - 4*x(j). Suppose -3*c = -6*c. Let y be (2 + (c - 1))\/(-1). Let v(a) = -2*a + 1. What is y*v(m) - 2*f(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 749 + 4488. List the prime factors of a.\nAnswer: 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 30*q**2 - 28*q + 61. Let r be m(-16). Which is the closest to 10\/3? (a) -0.2 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4794 (base 11) to base 15.\nAnswer: -1cd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23136155 (base 8) to base 11\nAnswer: -2925384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -170 - 37?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/5748020 and -63\/90520.\nAnswer: 11496040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (sqrt(396)*-2)**2 + (-1*(sqrt(396) + sqrt(396) + -2))**2 + 1).\nAnswer: -15845 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -16993*c + 102036. Determine w(6).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -260 + 0.5\nAnswer: -259.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**3 - d**2 + 2*d. Let o(c) be the second derivative of c + 17\/6*c**3 + 0 + 5\/2*c**2. Determine -4*o(t) - 11*u(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 10*i + 24*i**3 + 27*i - 26*i**3 + 36*i - 17*i.\nAnswer: -2*i**3 + 56*i - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.50858 millilitres in litres?\nAnswer: 0.07050858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p*p)\/(p\/(p*p**5))*p**5*p**(-3)*p*p*p*(p**(-3)\/p)\/(p**(-5)*p)*(p\/p**(-1))**(-31) assuming p is positive.\nAnswer: p**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27277 divided by 2.\nAnswer: 27277\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112 + 166. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.752 less than -900464?\nAnswer: -900462.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -204671, -204664, -204655, -204644, -204631, -204616, -204599?\n\"Answer: g**2 + 4*g - 204676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -128\/3, 32, -4\/15 in decreasing order.\nAnswer: 32, -4\/15, -128\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.5 + 4. Let v = 1.6553 - -0.3447. Which is the closest to v? (a) 2\/7 (b) f (c) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by (-24)\/16 + (-46)\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 8. Let n be (-28)\/(-12) + 1\/(-3) - -75. Let g = 96 - n. Suppose -g*c = -14*c - 85. Let a(b) = -b - 3. Calculate c*a(q) - 6*k(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/660 and 83\/798720.\nAnswer: 8785920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3276797*r**3 + 1657529 wrt r?\nAnswer: -9830391*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y = 0. What are the prime factors of -3*(y - (-43)\/(-3))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*x**2 + 68*x + 150 = 0. Calculate x.\nAnswer: -25\/3, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85735 - -177276. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288 times 70?\nAnswer: 90160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10598, -43321, -97876, -174263, -272482?\n\"Answer: -10916*q**2 + 25*q + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*s + 32, 0*s = l + 5*s - 18. Suppose l*q - 502 = 506. What is the greatest common factor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5343 and 273.\nAnswer: 37401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:03 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 + 6*m**2 - 5*m**2 + 2*m**2.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/2535 + -53267\/40560. Let g be 6\/(2\/16*-1). Find the common denominator of k and ((-244)\/g)\/(10\/4).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 6*l**2 + 7*l + 13. Let i be j(7). List the prime factors of i\/((-3)\/(-36)*9).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 4*l + 2. Let b(p) = p**3 - 44*p**2 - 93*p + 49. Let t be b(46). What is w(t)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.3167 or -101?\nAnswer: -1.3167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 3*o - o)*(-3 + 0 - 4*o**2 + 0*o**2).\nAnswer: 8*o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 109, 378, 889, 1720, 2949?\n\"Answer: 13*p**3 + 4*p**2 + 2*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -282*4\/32 + 279\/1116?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 3. Let z be h(-2). Let y be z\/2 - (-9)\/2. Let w(f) = -4*f**2 + y*f**2 + 0 + 0. Let i(x) = -4*x. Determine i(w(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d + 1163 + 689 = -3*d - 371 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 62*a - 327. What is c(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*m + 4468255 = 72*m. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*1\/35 - 355\/(-923)*44\/(-14).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 5*g - 5*g + 19*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10203 + -10?\nAnswer: -10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 538117986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 31 - 7. Let x(a) = a**2 + 3*a + 2. Let m be x(-2). Suppose m = 6*b - 5*b - 5. Solve 4*r + f - 2 = -h, -5 = b*r - 4*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005733573 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-22 - -2)\/2. Suppose -3*y + y = -b. Suppose -2\/5*r**5 - 4\/5*r**2 - 2\/5 + 6\/5*r**y + 6\/5*r - 4\/5*r**3 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-20)*32\/(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 132 = 4*k, -5*f + 2*k = 3*k - 123. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 346*n**6*v**2 + 4*n**6*v + 9*n**2*v - n + 8*v**2 - 23 wrt n.\nAnswer: 41520*n**3*v**2 + 480*n**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(-27\/2)\/(z*z\/(z**(-1\/20)\/z)*z**3\/z) assuming z is positive.\nAnswer: z**(169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -3\/4, 3.4 in ascending order.\nAnswer: -41, -3\/4, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -85\/301 (c) -68\/45 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 170965 and 170969 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3289, 3107, 2827, 2455, 1997, 1459, 847, 167?\n\"Answer: r**3 - 55*r**2 - 24*r + 3367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z - 35 = -2*b, -5*b = 3*z - 2. Suppose -5*x = 5*u - 380, 0 = 7*x - 21 + 56. Calculate the highest common divisor of z and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 11)*5*(-56)\/(-140). Solve 5*z + 0*z + p = -5*w, 0 = 2*w + 4*z + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-108)\/(-231) + (-4)\/14. Which is the closest to -1\/2? (a) 1 (b) r (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20030110 + 2141?\nAnswer: -20023525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 - b + 1. Suppose -2 = -5*q + 4*q. Suppose -12*l = -14*l + q. Calculate g(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/441*(-11711)\/3346.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 25*b**6\/6 + 78*b**5 + 1465*b**4\/4 + 200*b**3 - 250*b**2 - 3024. Determine z, given that q(z) = 0.\nAnswer: -10, -5, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 137 + -204?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33919539.\nAnswer: 3, 17, 665089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104209.\nAnswer: 7, 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1162662 and 12.\nAnswer: 2325324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-10) - (-2 + 32667\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -16*a + 482. What is t(-16)?\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*(-2 + 3 + -2). Suppose 3*v + 2 + s = 0. Let a be -4 - (-17 + v + 0). What is the highest common divisor of 176 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 7*g**2 + g + 5. Let l be a(-7). What is the hundreds digit of (362\/3 + l)*27\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -455 or -457?\nAnswer: -455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(192))*3 + (4*((sqrt(192)*-2 - sqrt(192)) + sqrt(192)) - sqrt(192)).\nAnswer: -48*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12849e (base 15) in base 12?\nAnswer: -36a342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/4 + 4*m**3 - 4*m**2 - 12*m + 16.\nAnswer: -(m - 2)**3*(m + 2)*(m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2385 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99 by 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40466015 is divided by 552.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (2 - (-2)\/1). Suppose 146 = 7*v + z. Suppose 2*u = 4*u - 28. Calculate the least common multiple of u and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64\/9*w + 0 + 2\/9*w**3 - 22\/3*w**2 = 0. Calculate w.\nAnswer: 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + t + 4 = -t, 3 = -3*t. Suppose -k - 6 = 2*y, k - s*y = 6*k - 2. Suppose 0 = d + k*b - 2, 5 = -5*d + 5*b - 0*b. Put 3, d, 7 in decreasing order.\nAnswer: 7, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*f**3*n**3 - f**3*n**2 - 870713*f**3 + f*n + 151707*n**3 + 2*n**2 wrt n?\nAnswer: 72*f**3 + 910242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfmmgmogmmmtg. What is prob of picking 1 m and 1 f?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 15*m**2 + 2*m**2 - 4*m**2 - 23*m**2 - 2*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 22*i - 9*i + 4*i**2 + 1 - 12*i to r + t*i + s*i**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319966?\nAnswer: 2, 157, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1529.548 - 1528.2479992. Let n = s + -1.3. Round n to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 1485*a**2\/2 - 1393*a + 63. What is the first derivative of w(x) wrt x?\nAnswer: 1485","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 190, 160, 110, 40?\n\"Answer: -10*x**2 + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 4. Suppose -l - v - 5 = l, -5*l + 20 = -4*v. Let u(f) = -15 - 2*f + 4 + l*f. What is 11*n(b) + 4*u(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 5. Let x(u) = -2*u + 9. Let t(i) = 5*c(i) + 2*x(i). Let p be t(5). Let h = -2 - -1. Which is greater: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 2*g**2 - 1. Let m be u(2). Let d(q) = -2 - 17*q + 1 + 1. What are the prime factors of d(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39629 divided by -20014?\nAnswer: 39629\/20014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*y + w, 0 = -10*y + 5*y - w + 16. Let q be 12\/(-24) - (-34)\/y. Calculate the common denominator of (-31)\/8*q\/(-6) and -107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98612848.5046+2.3\nAnswer: 98612850.8046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -4)*1\/(-2)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204\/24*1 + -9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 - 27*f - 41. Let l be i(-12). What is the highest common factor of 65 and l?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.9 + 14.1. Let z = 19.4 - f. Let u = 1.1 - z. Which is the second smallest value? (a) u (b) 2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587486.7 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 39 - 38 - 18*x - 63*x)*(4 + 2*x**3 - 4).\nAnswer: -162*x**4 - 62*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 51499?\nAnswer: 514a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8. What is the second smallest value in y, -2\/3, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 4)\/((-7)\/35). What is the third biggest value in 0.18, s, 0.2, -0.4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) 2\/399 (b) 5 (c) 0.008 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 10, m - 14 = 5*c + 14. Let r(t) = -3*t - 2107 + m*t + 2107 - 11*t**2. Let z(k) = 19*k. What is z(r(y))?\nAnswer: -209*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 334 + -332. Solve -5*z - 2 = -w*l + 18, 0 = 2*l - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90248992191 + 1\nAnswer: 90248992192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 942*c**3 + 7*c**2 + 142*c - 4. Let h(m) = -943*m**3 - 5*m**2 - 137*m + 3. Let u(n) = -4*h(n) - 3*z(n). Find the third derivative of u(p) wrt p.\nAnswer: 5676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 + (15 - 14) + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108267475 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -14. Let d(q) = n + 3*q**3 - 11*q**2 - 18 - 2*q**3. What is the units digit of d(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.757 rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 31. Let k(z) = -2 - 12 - 10*z + z**2 + 2 + 0. Let q be k(g). Solve -d - q = -y - 2*y, 5*d = -2*y + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -4108610.\nAnswer: -3\/4108610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 17*g**2 + 13*g**2 + 6*g**2 + 7*g**2 - 45*g**2. Let u(w) be the first derivative of 11*w**3\/3 - 2*w + 2. Give u(r(v)).\nAnswer: 44*v**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -199903 at most as big as -199915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/(y*y*y*y**(-8\/3))*y*y)\/(y*y*y\/y**21)*((y\/(y\/(y\/(y*y**(-4\/9)))*y))\/y*y)**(-48) assuming y is positive.\nAnswer: y**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (254\/(-84) - -2) + 1. Let k = 29\/42 + f. Let h = -379\/79 - -1595\/316. What is the nearest to k in h, -5, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 10101220213?\nAnswer: -10101220301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 1. Let k be c(-1). Suppose r = k*r - 16. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Suppose 5*g = n*i + 4*g + 29, -i = 2*g - 2. Let v(f) = f**3 + 9*f**2 + 6*f + 6. Is v(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from vugfccvfvkuvgfu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 27*t + 451. Calculate the remainder when 2153 is divided by i(-11).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(36\/15)*1064\/70.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 + 249178*s\/3 + 1245740.\nAnswer: 2*(s + 15)*(s + 124574)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - j - 38, -4*f + f = 4*j + 33. Let w = -4 - f. What is the smallest value in w, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2407 or 2395?\nAnswer: 2395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 419, 630, 839?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = u + 11, -u = 4*u - 5*j - 45. Let f(i) = -u*i + 2*i + 3*i. Let c(a) = -4*a**2. Determine c(f(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 245*h + 121. Let t be o(-123). Let l(f) = 7*f**2 + 3*f + 4. Calculate l(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4\/48*(-1)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1505 + 0.0505. Which is the nearest to s? (a) -2 (b) 5 (c) -0.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 4*s - 3*s + ((1 + 0 - 3)*(-4 + 3 - 2) - 3 + 2 + 0)*(36*s + 58*s - 57*s + (-s + 2*s - 3*s)*(0 - 1 - 1)).\nAnswer: 208*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 9:06 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2633431 is divided by 3124?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -7*g + 59. Suppose 2*n + n - 15 = 0. Let q(o) = n*o + 4*o - g*o. Let v(h) = 2*h. Determine q(v(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 36. Suppose 1 = -u + f. Solve 0*z - 2 = -3*z - 2*m, 5*z = u*m + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-8) - (0 - -1). Let i = -12659 - -126591\/10. Which is the third biggest value? (a) i (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from rezrreerrjjzrerjrzz.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28874?\nAnswer: 2, 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 22*c = -637 - 314, 3*c + 418 = -l + 294 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00070963423 rounded to 7 dps?\nAnswer: 0.0007096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 14*h**3 - 3 + 3*h**3 + 3*h**3 + 5*h**3 - h**4 - 2*h as v*h**3 + d + t*h**4 + n*h + m*h**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41043924 divided by 4.\nAnswer: -10260981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22781 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -44280000 to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 3\/2 (c) -0.5 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304*c + 6992937 = -c. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 + -52)*(1 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 3 + 9 - (-1 + 4)) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5447 by -13.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 208 - 214 + 2*t**2 + 2*t**2. Let n be l(-2). Suppose -990 = -s - n*s. Does 30 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 1, d: 1, f: 1, g: 2, p: 2}. Give prob of sequence bbd.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100 - 111000010101100010?\nAnswer: -111000010111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 2*g**5\/25 - 2*g**3\/15 + 4. Let n(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 1677 = 9*i. Calculate the lowest common multiple of 21 and i.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**45 assuming u is positive.\nAnswer: u**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000893 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g = -25*g - 66. Let u(s) = 8*s**2 - 6*s - 51. Let a be u(g). Round a to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*g**4 + 0 + 0*g + 0*g**2 + 2\/3*g**3.\nAnswer: -g**3*(g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 + 28 + 2*(-3 - -6))*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 472 and -428?\nAnswer: -202016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 4*w**2 - 8*w - 3. Let b(u) = -3*u**2 - 1. Let j(c) = -a(c) + 4*b(c). What is j(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.31 - 2.124. Let p = 0.15 - g. Let l = -0.03599832 - p. What is l rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1054 divided by -1\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 7*z**2 - 7*z - 3. Let q be o(-6). Let s = q - -2. Suppose -2*f + 0*t + 2 = -s*t, -2*f + 2*t + 2 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328426 is divided by 5307.\nAnswer: 4699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1436762 = -64*q + 3097700 + 483202. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/(-4) + 15\/(-20). Is 8 a factor of 4\/((6\/q)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22781448.\nAnswer: 2, 3, 397, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 2*t + 3*t. Let x be (36\/(-24))\/(t\/(-10) + 1). Suppose 2*y + 3 = 1, 2*y = x*w - 107. What is the greatest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 179265746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3634511 (base 7) in base 13?\nAnswer: -13274c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1843 - -1895. What is the greatest common divisor of l and 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x**2 - 1428*x - 15782. What is b(-11)?\nAnswer: 1136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*d = -31, -5 = -g + 6*g + 5*d. Suppose 36 = g*v + 3*j, -2*v + 5*j = -0*j - 38. What is the greatest common factor of v and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -3935659102393.\nAnswer: -3935659102384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkk when three letters picked without replacement from kkkkkpkkkkkkkkkkkkkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.23 + -0.03. Let h = 19 + -21.4. Let g = h + m. Put -0.1, 5, g in descending order.\nAnswer: 5, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 399\/2*10\/15. Suppose -384 = -3*i - a, -5*a = -3*i + 251 + o. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1376 - -1373.5. Are d and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**2 + 6*h**2 - 52*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60133.39 times 0.3?\nAnswer: 18040.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-238)\/(-21896))\/(((-10)\/8)\/(-3*(-25)\/(-45))).\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300) - (sqrt(6300) - (sqrt(6300) - -3*-1*sqrt(6300))))\/(4*sqrt(63)\/(-1*sqrt(7))).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 121 = 449. Calculate the common denominator of f\/18 - 1 - 2 and (-3)\/4*(-132)\/(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(85)*1)\/(sqrt(1500)\/sqrt(12) - ((sqrt(405) - -2*sqrt(405) - sqrt(405)) + sqrt(5))))**2.\nAnswer: 153\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 7*q**2 + 8*q + 7. Let x be a(-8). Let r(d) = d - 4 + x*d - 9*d. Let k be r(-8). Let s(o) = o**2 - 5*o. What is s(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i - 26. What is the smallest common multiple of 21 and g(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 32 = -2*z - d, z = d + 16. Suppose -b + 30 = -z. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k - 2*o, 2*k - 10 = -2*k - 2*o. Suppose 4*z - 329 = -3*l - 2*l, 2*l = -2*z + 130. Suppose k = y + 17 - l. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p - 138. Let l(i) = -6*i - 92. Determine -8*l(k) + 5*o(k).\nAnswer: -2*k + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4.4608925*5\nAnswer: 22.3044625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 121*s**5\/2 - 98153*s**4 + 37159839*s**3 + 2180225484*s**2 + 6985599489*s\/2 + 1418652225 = 0. Calculate s.\nAnswer: -50, -9\/11, 837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -316 - -321. Let g(b) be the third derivative of 0 + 0*b**4 - 4\/15*b**i + 0*b - 5\/2*b**3 - 11*b**2. Differentiate g(o) wrt o.\nAnswer: -32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16225 less than or equal to -16222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 8*o - 2*o + 9*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + 74*s - 383*s + 3*s**2 - 248 + 309*s + 248.\nAnswer: 6*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1446 - -572. Suppose 3885 = o - i. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/355 and 97\/171260.\nAnswer: 12159460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*z = 20, 4*l - 3*z - 4 + 19 = 0. Suppose 2*i + 0*w = -4*w - 28, -3*w - 15 = 0. Let f = 7 + i. Sort 2, l, f.\nAnswer: l, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43482*x + 6 + 4906*x + 21710*x.\nAnswer: 70098*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1394)\/(-85))\/(-1 + (-14)\/(-10)). Suppose j*q - 50*q + 2583 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/24 and -25\/882.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*l = -4, -93*l + 96*l = 3*o - 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0031+266794958407\nAnswer: 266794958407.0031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. Let u be (1*-1 - -1)*(-43)\/(-86). Let v = u + n. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*470934\/(-16524).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*x = -16, -2*m = 4*x - 2*x - 14. Suppose m*n + 9 = 5*v, 0*n + 2*n + 4 = 0. Which is the third smallest value? (a) v (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:00 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (3 + -4 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.19 (b) 0.032 (c) -0.3 (d) -14\/19 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 6 = -14*f. Let g = 159 + -156. Suppose -b = f*b - g. Sort b, 2, -5, 3 in decreasing order.\nAnswer: 3, 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 69*w + 253. Give g(27).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -598105.09 rounded to the nearest one hundred?\nAnswer: -598100","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = 5*m, -5*b - 3*m = -56. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, a: 5, e: 3}. What is prob of picking 1 a and 1 w?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 61 - 36)*(15*f + 40*f - f).\nAnswer: -6804*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 30. Let b = n - -25.95. Round b to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -33, -62, -101, -150?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/3212 and -109\/730.\nAnswer: 16060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -14. Let i = 7 - z. Is 5 a factor of 8 + i*2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 32251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 0\/(-9))\/(4\/250) is divided by 118.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 1 - 14270*y**2 + 14266*y**2 - 2*y + 6*y. Let h be -1 - 0 - -4 - 0. Let o be m(h). Calculate the highest common divisor of 16 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 2*d + 3*d + 61.\nAnswer: -10*d + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1 + 3 + -2. Let y = -4771 - -4796. Suppose 3*k - y = -2*l - 2, -u*l + k + 35 = 0. Solve h + 4*z - l = 0, -3*h - 4*z + 9 = 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 j when three letters picked without replacement from qjbbbdjjbbjjddjjq?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277275336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -178591403.\nAnswer: -178591403.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -534*v**6 - 4*v**4 - 27*v**2 - 45*v - 3.\nAnswer: -64080*v**3 - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 3*x**2 + 2. Let o be d(-3). Let l = o - 39. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*n = -2*n + 154, -4*q + n + 131 = 0. Let p be (400\/q)\/((-1)\/(-2)). Suppose p = -2*j - 3*j. Sort 2, 7, j in decreasing order.\nAnswer: 7, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.067 and 0.2.\nAnswer: -1.2134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*v + 54 = 0, 77*r + 21 - 371 = -2*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Suppose -15 = -5*x - 5. Suppose f + 4 = 5*l - 12, -x*f + 13 = 5*l. Let p(z) = -2 + 3 - 1 + l*z**2. Calculate p(d(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -20. Let j = -159183 - -159183.1. Which is the second smallest value? (a) 5 (b) t (c) 3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.96 - 1.34. Let s = h + 10.37. Which is the second smallest value? (a) s (b) 0 (c) 0.2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 12. Calculate the remainder when 375\/9 - 4 - 20\/30 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.27, 0.1, -7, 2 in decreasing order.\nAnswer: 2, 0.27, 0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 4*s + 3*s**2 + 0*s to v*s**2 + l*s + g and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331376776 to the nearest integer?\nAnswer: 18204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -w - t + 8, -5*w + 2*t = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4470245091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 87, 127, 165, 201, 235, 267?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k**2 + 258*k + 514. Let g be s(-2). Solve 26*p - g = 31*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 4 + 8. Let o be (c + -2)*5\/(-25). Which is greater: -3\/40 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349.2641 micrometers in meters?\nAnswer: 0.0003492641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25761 (base 12) to base 14.\nAnswer: -14929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5053029?\nAnswer: 3, 17, 99079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 254 + 352 - 1)*(2*i**5 + 0 + 0).\nAnswer: 1082*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 10. Let i(s) = -2*s - 21. Let g(w) = 6*i(w) - 14*m(w). Let y be g(-7). Let v be (2\/(-3)*-3)\/5. Which is the closest to y? (a) -2 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**2 - 10*q + 51. Let c be n(-5). Are c and 16\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/(sqrt(3)*-3))\/sqrt(7))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*z = 30, 20 = 4*m - 4*z - 12. What is the smallest common multiple of 22 and ((-46)\/6 + m)*-3?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = -52*r + 103 - 77 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 5.737?\nAnswer: -1.1474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 2\/15*v**3 - 26 + 0*v - 1\/10*v**2 - 1\/20*v**4. Factor a(k).\nAnswer: -k*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 2*s. Let r(p) = -6*p**3 - p**2 + p. Let h be r(s). Let u be 8\/(-30) - h\/(-15). Which is the second biggest value? (a) 0 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 3:48 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -943 - 301b?\nAnswer: -3961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 0 + 0)*(-14*h**2 + h**2 - 2*h**2) - 2*h**3 + h**3 - 10*h + 7*h in the form t*h + k*h**2 + q + i*h**3 and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**6\/60 - 7*l**5\/60 + l**4\/4 + 2*l**3\/3 - 24*l**2. Does 10 divide c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q\/(q*q*(q*q*q*q**32)\/q*q))))**(-25)*(q\/((q*q**(-19))\/q))\/((q\/(q**(-10\/7)\/q))\/q) assuming q is positive.\nAnswer: q**(6248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = 18, l = 3*s - 830. Suppose -118 - 332 = -5*o. What is the remainder when s is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9350 and 946?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) -5 (b) 1\/4 (c) -361 (d) 0 (e) -2 (f) 1111\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 332, 508?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14651310 (base 8) in base 11?\nAnswer: -1998083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {l: 1, t: 2, y: 4, u: 3, q: 1, n: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*371\/795?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15763.2 millilitres in litres?\nAnswer: 15.7632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49591*w - 50219*w = 43332 for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/26412 and 13\/25588826.\nAnswer: 153532956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 4*q - 13, -14 = 2*g - 4*q - 0*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - 1) + (-900)\/(-100). Let x(q) = q**3 + 7*q**2 + 3*q + 6. Let y be x(-6). Suppose -y*v + 21*v + 6 = b. Solve f = -v*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2769, -2769, -2773, -2781, -2793, -2809?\n\"Answer: -2*i**2 + 6*i - 2773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 + 259*r + 69. Calculate the least common multiple of 10 and a(-43).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 - (3 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*o**4 - 18668*o**3 - 2*o**2 - 8396390*o wrt o.\nAnswer: -96*o**2 - 112008*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/12 - (-87)\/(-12). Let t = g - -13\/2. What is the closest to t in 6, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-5))\/((-2)\/(-10)*1). Suppose -h + 5*g = 4*h - 2065, -p*h + 1646 = 2*g. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 6*q**2. Let m be (-4 + -2 + 5)*-3. Suppose -l + 6*c = -36, c + m*c = 3*l - 38. What is z(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1575)*3 + ((5*sqrt(7)*-2)**2 - sqrt(84)\/(sqrt(12) - 1*sqrt(12) - sqrt(12))).\nAnswer: 46*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 1549 - 8471 = 0. Calculate the lowest common multiple of 21 and i.\nAnswer: 3507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + 14. Suppose 2*q - 3*r = -330, -5*q + r + 128 = 953. Let u = 174 + q. What is the highest common factor of c and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 361*((-7)\/21)\/(5368\/1344 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29411660, 29411662, 29411664, 29411666, 29411668?\n\"Answer: 2*y + 29411658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 5. Let v be c(7). Let h be (1\/(-1))\/(v\/2). Is (h + -8)*(-2)\/6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**2 - 6*k + 7. Let i(w) = -7*w + 35894*w**2 - 1 + 9 - 35902*w**2. Give -6*i(s) + 7*n(s).\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 3077146\nAnswer: -307714.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1124 + 14610\/13. Which is the third biggest value? (a) 0.12 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 e, and 1 p when four letters picked without replacement from {l: 2, e: 1, g: 2, w: 2, t: 1, p: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 - -111. Suppose 33*i - 29*i - 520 = j. Calculate the remainder when i is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1006752 divided by 125844\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-42))\/(20\/(-70)). What is the closest to -2.8 in v, -6, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14646)\/8)\/(96\/(-256)).\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 18. Let v(a) = 15*a**4 - 195*a**3 + 70*a**2 + 55*a + 55. Let l(s) = s**4 - 14*s**3 + 5*s**2 + 4*s + 4. Let k(q) = n*v(q) + 55*l(q). Factor k(r).\nAnswer: -5*r**2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 193*c**3 - 88*c**3 + 24*c**2 - 104*c**3 + 2*c to o + y*c**3 + v*c + k*c**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4690 by 2345.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9 (b) -1 (c) 27\/185281\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-21)*b\/(b*b\/(b*b**(16\/7))*b) assuming b is positive.\nAnswer: b**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 320, 398, 380, 236, -64, -550, -1252?\nAnswer: -2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1426*m**2 + 313*m**2 + 91*m**2 + 10 - 7.\nAnswer: 1830*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*w + 4 = 0, -4*w + 16 = s - 2*w. Solve 9 + s = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 4.2?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 - 9*a**3 - 14*a**3.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172 - 207. What is the nearest to p in 1\/4, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6, 27, 48, 51, 30, -21?\n\"Answer: -d**3 + 40*d - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -412 divided by 117\nAnswer: -412\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -479915529 greater than or equal to -479915530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -8 (c) 0.1 (d) -382 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 931 by 125650.\nAnswer: 133\/17950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 + 390*y**2 - 5607*y\/2.\nAnswer: 3*y*(y - 7)*(y + 267)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(-4*(-5*sqrt(208)*2)**2 + 4 + 3).\nAnswer: 83198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2)\/(1\/(-4)). Let r be 1 + v + (-3 - 0). Let k = 9 - r. Calculate the remainder when 29 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1789697 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - w + w**2)*(-963 + 3177 - 908 - 1042) as k*w + f + y*w**2 and give y.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**7\/21 + t**6\/15 + t**5\/10 - t**4\/6 + 8*t. Determine y so that b(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620977 + 3637653 = 52*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 + -18. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 2. Let t be y(2). Suppose 0 - t = 4*z. Let a = 0 + z. Let p(s) = -s + 2. Determine p(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21 + 46)*(24\/5)\/2. What is the greatest common factor of t and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -28. Suppose -5*x = g*r - 401, 2*x + 3*r - 78 = x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/9)\/5)\/(353\/(-25416)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.2 + 1.2. Let w = -41 + 7. Let m = 36 + w. Which is bigger: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01837608223 to four decimal places.\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnm when three letters picked without replacement from nnbmmnmbbnnbnnnnbbm?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1304)\/24 + 58 - (0 + 0 + 5)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1471697*n**3*o**2 - 10*n**3 - 37*n**2*o + 2*n*o**2 + 534*n*o + 4*n wrt o?\nAnswer: 2943394*n**3 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 3 (c) -8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*q - 0*q - 6, 4*f + 4*q = -12. Suppose -2*g = -f - 4. Find the third derivative of 2*r**4 + 4*r**2 + 0*r**4 + 3*r**4 + r**g wrt r.\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -105 and 36.5?\nAnswer: -3832.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8260619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 1\/5, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 210*b**2 - 1206*b - 1782.\nAnswer: -2*(b + 3)**2*(b + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 669.1 + -669. Which is the third biggest value? (a) q (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102630697 take away 0.9645?\nAnswer: -102630697.9645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/80 and (-696)\/900 + (-1)\/6.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 - 4*k + 9. Suppose 5*h - 2 = 4*h. Suppose -h*l = l - 4*d - 8, 12 = 2*l + 4*d. What are the prime factors of q(l)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0 + 1\/24*v**4 - 4*v + 0*v**3 + 2*v**2. Let r(q) be the first derivative of y(q). Let p(g) = 7*g**2. What is p(r(b))?\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - d + 3. What is g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 96*n - 2153. Give b(-36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855543857.\nAnswer: 3, 19, 73, 445937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 180\/54*(-3)\/(-2). Suppose 476 = -v*u - 4*j - 1160, 3*j = u + 312. Does 27 divide (((-4)\/8)\/(-1))\/((-2)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 at least -16933\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 442\/169)\/2)\/((-250)\/40)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flmmmfmlmlmxmfxlmm. What is prob of sequence mfl?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12738407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 362*b - 2884. Determine n(4).\nAnswer: -1436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1*((-1)\/13 + 4422\/871)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 0, 5*u + 0*m = -3*m + 19. Solve -5*j + 3*x = 0, -4*x = u*j - x - 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-322)*(-9870)\/14100?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 768029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 329229747 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g - 107 - 405 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -8\/9*j**2 + 0 + 0*j + 0*j**3 - 2\/9*j**5 + 2\/3*j**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 9 - 5 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(441\/(-180)))\/(-2)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + j - 4*j + 0*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -7 + -12 + 1 + 11 + 26?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7557083 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 24. Let u be i(5). Calculate the smallest common multiple of u\/(36\/(-8)) - -4 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 805, 1381, 1871, 2269, 2569, 2765, 2851, 2821?\n\"Answer: -d**3 - 37*d**2 + 694*d + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 2678, 3 in increasing order.\nAnswer: -1, 2, 3, 2678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559381 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 - (-34 + 0). Let r = -33 + h. Are r and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5262 = -4*y, -3*l + 3*y + 0*y = -7896. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*j - 26 = 269*j - k, -2*j + 3*k = 34 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1088.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3 - n**2 + n**3 + 391*n + 1 - 2 - 393*n. Determine i(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18030, 71153, 159378, 282705?\n\"Answer: 17551*z**2 + 470*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + 6. Suppose -y = -n - 0*n. Suppose -5*h + 640 = -2*c + 7*c, 0 = -h - 5*c + 136. What is the greatest common divisor of n and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2 - 100255104*z + 628192867378176 = 0.\nAnswer: 12531888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**4 - 8*p**2 + 2. Let o(r) = r**3 - 1. Let f(i) = -4*o(i) - 2*w(i). Find d, given that f(d) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(2\/7)*j))\/j*(j**(1\/3)*j)\/j)\/(j**3*(j\/(j**(-2\/15)\/j))\/j))\/(j**(1\/12)*j*j\/j**(-12))**(5\/3) assuming j is positive.\nAnswer: j**(-37243\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -32*x + 3423. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 59669815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/65 and 64\/128005?\nAnswer: 1664065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 2 + 2*a**2 + 3*a**2.\nAnswer: 7*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-35))\/(-41*(-96)\/468384)\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*p + 5*p. Let r = p + 41. What is the greatest common divisor of 24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14650326, 14650331, 14650338, 14650347, 14650358, 14650371?\nAnswer: 14650386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41128?\nAnswer: 2, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/12 + -4 + 4 + 1. Which is the second smallest value? (a) k (b) -118 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*n**5 - 195*n**5 + 62*n**5 + 12*n**2 wrt n.\nAnswer: -4080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17274330, 17274328, 17274336, 17274360, 17274406, 17274480, 17274588?\nAnswer: 17274736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 2*m**3 + 2*m**3)*(m + 2*m - 5*m) - 224*m**4 - 685*m**4 + 358*m**4 - 878*m**4.\nAnswer: -1433*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304441693 to the nearest integer?\nAnswer: 17448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -50. Suppose 3*m + 2*m + f = g, -m = -f + 1. Suppose 5*p = 2*v + 25, 9*p = 5*p - 2*v + 20. Calculate the highest common divisor of m and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-4)\/30 + (-1066)\/(-1845)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (2 - (4 + -1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**7\/u)\/u*u)\/u)\/u**(3\/8))\/((u*u**1*u)\/u**(-1))*(u\/(u\/(u*u**1)))**(-24)*u\/u**(-2\/11)*u*(u\/(u**(2\/5)*u))\/u assuming u is positive.\nAnswer: u**(-20501\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-143)\/(-390) - (-6)\/45) + 264\/16\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 333, 2 in ascending order.\nAnswer: -4, 2, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/((-20)\/112))\/2. Let d = b + -25. Is d smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + -4) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 26 and 28 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3186 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50897 by -7.\nAnswer: -7271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 179199 and 1161.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04576 in -0.4, 1, -1\/2, -11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 12 = -7*p. What is the derivative of -3*q**4 + 3*q**p + 28 - 4 + 4*q**4 wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -18*b - 199. Let t be w(-22). Which is smaller: t or 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 - -186. Suppose 4 = 3*x + i*c, x - 6*c + 2*c = 7. What is the highest common divisor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let n = z + 2. Let y(a) be the first derivative of a**4\/4 - 2*a**3\/3 - a**2\/2 + 2*a + 2. What is y(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 2 (c) -0.5 (d) -8 (e) -26 (f) 6.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10d7 (base 14) in base 15?\nAnswer: d08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4860957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Let k = 437 - 262. Suppose 55 = a - f, -4*a - f + k = 4*f. What is the greatest common factor of t and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times 148.9?\nAnswer: 3275.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(-10\/7)*b*b))\/b)**36*(b\/((b\/(b*b**(2\/7)\/b))\/b))\/(b\/(b*b**(1\/54))) assuming b is positive.\nAnswer: b**(6325\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.09, 2, 28, -42806?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*n - 54, n + 135 - 153 = -4*r. Solve 20*i + 35 = n*i - 5*l, 5*i - 3*l + 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*d = 163*d + 5*u + 30, 3*u + 140 = 15*d + 10*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2452 + 4961. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 29173.\nAnswer: 29170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -17. Let m = 0 - t. Let l = m - -8.4. What is the second smallest value in -3\/5, -5, l?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -75. Let d(w) = -41*w**3 + 3*w**2 + 3*w + 6. What are the prime factors of d(x)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f, 5*l - 2*f = -155 + 160 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*t - 92, 0*t + 17 = -x + t. Let c = x + 31. Let j(q) = -8*q + 3 - 3 + c*q. Let f(k) = 10*k. Calculate j(f(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42 + u - 14*u**5 - 42 + 0*u**5 wrt u.\nAnswer: -280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10222 - 11135?\nAnswer: -21401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(28\/(-8))*(2 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -0.090431?\nAnswer: 0.00271293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.8 (b) -0.1 (c) 0.153 (d) 2\/3 (e) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/6*(-9)\/6. Let o(i) = 2*i**2 + 2*i - 1. Let q be o(-2). Which is smaller: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 (base 13) in base 2?\nAnswer: -1101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 + 85. Let c be (-24)\/18*(3 + r\/6). Solve -s + 3*l = -c*s + 7, -4*s + 3*l - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 302628 + 523537. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110145480\/13 or 8472730?\nAnswer: 8472730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -8. Which is the third smallest value? (a) -3 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 3*r + 4. Let w be p(4). Is 3659*(w\/(-8))\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (35\/(-5))\/(1\/(-1)). Let i = -360 - -365. Solve g*j - 2*j = -10, -i*j = -2*o + 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**4\/12 - 7*f**3\/6 - 3*f**2\/2 + 25*f. Calculate s(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7092713 is divided by 46?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4715868.\nAnswer: 2, 3, 17, 23117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -42829235158 and 328.\nAnswer: -42829234830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 1089\/5*x**2 + 1\/30*x**4 - 68*x + 22\/5*x**3 + 0. Solve k(n) = 0.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g*g**15*g\/g**0*g*(g**5\/g)\/g**10 assuming g is positive.\nAnswer: g**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 446701 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-45))\/((-21)\/36).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*w**3 - 4101*w**2 - 5496*w + 5484.\nAnswer: 3*(w - 457)*(w + 2)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265103264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/342 and -55\/8.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7878113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 14. Suppose r - 132 = -4*m - r, -l*m - 5*r = -165. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 3 = 0, -3*y - 122 = -5*t. Calculate the remainder when t is divided by ((-2)\/(-3))\/(2\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/4, -2\/3, -116, 118.055?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 - 45*o**2 - 21*o - 30. Let c be i(23). Solve -c*s = -19*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 6 = 2*w. Let p = w - -1. Suppose p - 5 = -3*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, l: 1, c: 3, p: 3, q: 4}. Give prob of picking 2 c and 1 y.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**5 + 2*m**5 + 0*m**5 + (0*m**2 + 5*m**2 - 2*m**2)*(0*m**3 + 2*m**3 - 3*m**3) + 3*m**5 - 2*m**5 - 3*m**5 - 9*m**5 - 12*m**5 - m**5.\nAnswer: -29*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/36*(99\/9)\/(-11)*(-120)\/(-25)\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(720)*5 + sqrt(720).\nAnswer: -348*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -241592 or -241769?\nAnswer: -241592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, and 1 x when three letters picked without replacement from xvvuxvxxvxxerhxveehx?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 13. Suppose -g*x = z, -z - 3*x - 1 = -0. Solve -j - z*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*l + 394, 3*s = 2*s - 2*l + 199. What is the greatest common divisor of s and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -36. Are -10 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24400 = 10176*z - 9688*z for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 - 94. Solve -7 - 17 = -3*x - 3*k, -s*x + 4 = -2*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -1\/8, 142, 0.5, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80860 - 40430 - 40430 - 9127*d.\nAnswer: -9127*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*z**3 + 5*z**3 + 3*z - 9*z + 0*z wrt z?\nAnswer: -108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691143801.\nAnswer: 3, 149, 743, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.516 - 0.416. What is the second smallest value in -3, -0.4, y, -111?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*p - 30*p + 27 - 14.\nAnswer: 162*p + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/10*90\/3*6 is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 7:01 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 270*w - 280*w - u, 0 = -2*u + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 8*c - 17*c + (1 + 2 - 2)*(2*c - 1 + 1) + 0*c + 3*c + 0*c)*(-1 + 4 - 1).\nAnswer: -42*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2 + sqrt(2448) + 3)**2 - (4 + sqrt(2448) + -1))*1 + 2.\nAnswer: -7336 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 819950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -222757\/24 + 9286. Find the common denominator of 16\/915 and j.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36169885*z**2 + 3*z + 4443127 wrt z?\nAnswer: 72339770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22458, -22493, -22542, -22605, -22682?\n\"Answer: -7*z**2 - 14*z - 22437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (24\/156*(-13)\/(-3))\/(24\/36)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 29*n**2 - 105*n + 69. What are the prime factors of q(-26)?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.053357 * -0.2.\nAnswer: -0.0106714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 12 + 7)*(0 + 3 + 0) + 3 - 2 + 1 + 3 + 0 - 5 + (5 - 3 - 1)*(-1 - 4 + 3))*(3*k**2 + 44*k - 44*k).\nAnswer: 165*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12301 (base 7) to base 9\nAnswer: 4384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -277?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.17 - 0.36. Let w = d + -0.11. Which is greater: w or -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4734714 or -33?\nAnswer: 4734714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/15)\/(398\/1990).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -c + 4*d - 4, -204*c - 5*d + d + 1024 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 20, 44, 88, 158, 260, 400, 584?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 16301148980\nAnswer: 16301148993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813654 is divided by 1016?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*a - 20 = -3*a, 3*f - 4*a = -17. Let g(t) be the first derivative of 1\/2*t**2 + 4*t + f. Determine g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 606565*p**5 - 2*p**2 + 555*p - 184.\nAnswer: 36393900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*k - 47*k + 19*k)*(1 - 4 + 2)*(3 + 1 - 8)*(7 - 5 - 21) to the form p*k + o and give p.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 8}. Give prob of picking 2 p and 1 h.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*a + 1134 = -445*a. Calculate the highest common factor of 6678 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 371209 + 177291. Let i = x - -299702. Suppose 2*q - 2*w = -0*q - i, 0 = 3*q - 2*w + 285002. Round q to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 47\/2 - (-3)\/(-2). What is the third derivative of 11 - d*j**3 + 11 - 26 - 9*j**2 wrt j?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5931*p**3 + 2122*p**2 wrt p?\nAnswer: 35586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 335?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -602376.102 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdxdsdsxxxxhxdts. What is prob of sequence xx?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2624624 and 2296546.\nAnswer: 18372368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 10 = p, p + 2*p = 4*n + 19. Suppose -p*u + u + 16 = 0. Suppose 2*m - 362 = -u*j, 929 = m + 4*m - 2*j. Round m to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7*a**2 + 4863*a + 5 - 4983*a)*(1 + 3 - 3).\nAnswer: -7*a**2 - 120*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -528 or -530?\nAnswer: -530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(1 - 1 - 2)*(-275 + 21*v + 275).\nAnswer: 84*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(2 - 0))\/((-243)\/(-216)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/95)\/((-2)\/(-10)). Let g = 216 + -218.1. Let c = 2.1 + g. What is the closest to c in 0.2, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 289\/14 or 22?\nAnswer: 289\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -8. Suppose -5*o = 5*i + w, -3*o - 4 = -i - o. Let m be (-7)\/6 - 1\/i. Which is the biggest value? (a) -2\/7 (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9045.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -30, -63, -108, -165, -234, -315?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 19*p**3 + 184*p**2 + 140*p + 32. Give h(-9).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j + 14. Let l(x) = -36*x - 74. Determine 2*l(y) + 11*t(y).\nAnswer: 5*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -709*z - 21371 + 53276 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**6 + 230*j**4 - 8*j**3 - 4*j**2 + 852*j - 2?\nAnswer: -120*j**3 + 5520*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.11225 less than -0.5?\nAnswer: -6.61225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 6 - (-7 + 1 - -7 - -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2869*c**2 - 1819*c**2 + 408*c**2.\nAnswer: -4280*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 54 = -7*a. Suppose 3*q - 2*m = 18, -q - a = -4*q - 4*m. Is 8 a factor of (4\/(-6))\/(q\/(-207))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(363) - ((sqrt(363)*-1 - sqrt(363)) + 5))**2)*6 + -1)*-3.\nAnswer: -59253 + 5940*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 + 2*h**3 + 1015*h - 1015*h + 6*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (2 + (27 - 9)) - 21.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 29*i + 30. Let x be r(-30). Let a(n) = -2*n**2 + 2*n + 2991. Is a(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335360124 a multiple of 3143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -3, -27.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 4*y**3 + 0*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -3, -4\/9, -5\/4, -2\/11, 37\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -40, -126, -292, -562, -960, -1510?\nAnswer: -2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -13199.8 (b) -5\/4 (c) 0.2 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o - 3*o - 4*o)*(o**3 + o**3 + 0*o**3) - 970*o**4 + 195385*o**2 - 195385*o**2 to the form g*o**4 + k*o + f*o**2 + i*o**3 + n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 19, -7\/4, -0.2, 0.5, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22891 - 9733?\nAnswer: 14159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 195*t**5 - 11*t**3 + 23*t - 11. Let w(f) = 65*f**5 - 4*f**3 + 7*f - 4. Let m(n) = 4*r(n) - 11*w(n). What is the second derivative of m(p) wrt p?\nAnswer: 1300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -227\/4 (b) -1\/5 (c) 351 (d) 1 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 5*c - 5. Suppose 0 = r + 2, -d - 2 = -3*d - 3*r. Determine y(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.8 times -3?\nAnswer: -50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - v - 3*v)*(7*v + 6 - 6) + (-2*v**2 - 2*v**2 + 0*v**2)*(-4 + 1 + 2).\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l*l**(2\/3))\/l)\/l)**(1\/37)\/(l**(2\/3))**(2\/39))**(-3\/5) assuming l is positive.\nAnswer: l**(14\/1443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 120*m - 125*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 212411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 154.24 and -0.3.\nAnswer: -46.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -71 (b) 1\/8 (c) -14 (d) 11 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 20*v**2 + 20*v + 19. Let h be d(-19). What are the prime factors of (h + (-12)\/9)*(-642)\/4?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) 20225 (d) -2 (e) -5 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2007, -4101, -6193, -8283, -10371?\n\"Answer: k**2 - 2097*k + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 2588, -819, 0.3?\nAnswer: -819","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-18 - (10 + 1)) - -15) + -21?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 55 = -5*j, m + 2 = -j - 1. What is the units digit of -4*3\/(-48) + (-3726)\/j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/87388230 and 173\/1157460.\nAnswer: 174776460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9608, -14289, -18970, -23651?\n\"Answer: -4681*b - 4927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2574*h - 836568. Determine n(-325).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -54316*f**3 - 27918376*f**2 - 3587492812*f + 3170352 = 0. Calculate f.\nAnswer: -257, 12\/13579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/7 + 226*x\/7 - 460\/7 = 0.\nAnswer: -115, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.5, -0.5, -5 in descending order.\nAnswer: 3.5, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifdf. What is prob of sequence df?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532485?\nAnswer: 3, 5, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 22*c + 368 = -37*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/9 (b) -1 (c) -0.1 (d) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/7933 + 15931\/103129. Determine k, given that -10\/13 + 8\/13*k + z*k**2 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -30, -29, -186, 5 in decreasing order.\nAnswer: 5, 2, -3, -29, -30, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**2 - 1170*m + 68445 = 0.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*63\/168*4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1848332)\/(-18697) - (-6)\/(-7).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.32 - -11.4809. Let m = 0.91 - 0.75. Let w = z - m. Round w to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 10:39 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2159 is divided by 198?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1302 or -3?\nAnswer: -1302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 819, 1477, 1981, 2331, 2527?\n\"Answer: -77*f**2 + 889*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.94 + 0.06. Suppose 2*l + 22 = -4*j - 0*j, -2*l = -2*j - 2. Which is the closest to 0.1? (a) l (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c**3 - 4*c**3 - 18541 + 8*c**3 + 18541.\nAnswer: 37*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1367\/4 - 350. Let q = -9169\/6 - -1516. What is the common denominator of w and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/14 + 0 + (-33 - -34)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 4*i**3 + 3*i**3 + 44999*i**2 - 44981*i**2 to the form p*i**3 + u*i + t + w*i**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7884121 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 18. Let n = t - -5. Let q be 14\/8 - 2\/n. Put q, -1, -6 in descending order.\nAnswer: q, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -14*r + 95. Let m(g) = -9*g + 190. Does 3 divide m(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5258889?\nAnswer: 3, 29, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*p**3)*(1 - 3 + 1)*(-3 + 4 + 3).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -1885, -6137, -14421, -28081, -48461?\nAnswer: -76905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1543*l + 1522*l + 4)*(624 - 624 - 147*l) as s*l**2 + i + h*l and give h.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -894*k + 272*k = -16172 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from jysysjjjyss?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 25?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 138 = 1682. Let x = -202 - u. Let d = x - 410. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.4. Let i = -749 + 752. Sort -1, n, i in descending order.\nAnswer: i, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) 0.5 (c) -0.09 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172417.\nAnswer: 7, 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2557*c**3 + 3355*c.\nAnswer: -15342*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59312, 59311, 59310, 59309, 59308?\nAnswer: 59307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 9. Let p be n(4). Let o(q) = -12 - 89*q - 86*q - 83*q + 255*q. Let w be o(p). Solve 1 = w*j + 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 1:35 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - (0 + 2)) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560 by -5484.\nAnswer: 140\/1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 + (-27)\/(5508\/(-2472)). Sort -147, l, 3, -1\/4.\nAnswer: -147, -1\/4, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 6:33 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + (sqrt(832) - (sqrt(832) - ((-1*sqrt(832))**2 + 5 - sqrt(832))) - sqrt(832)) + 3.\nAnswer: -8*sqrt(13) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03497 and -1.29.\nAnswer: -1.25503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 279, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iis when three letters picked without replacement from {s: 4, i: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 24 = -17*r, -t = 2*r + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5133, 5113, 5079, 5031, 4969, 4893, 4803?\n\"Answer: -7*l**2 + l + 5139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 295 = 28*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 29\/9*1 + (-20)\/90. Solve 28 = -x*h - 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*q = 8, -3*l + 0 = -q - 2. Let n(i) = 9*i**2 + 4*i + 6. Let m(h) = h + 1. Calculate l*n(o) - 4*m(o).\nAnswer: 9*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from ucrrllxlellr.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/95 and (-16644)\/1640 + 28\/574?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4530599.\nAnswer: 53, 73, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -532?\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1816*i - 1804*i = 22560. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1327 divided by -5\nAnswer: 1327\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 1530 + 180 = 0. Let a = 287 + -277. What is the least common multiple of a and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2688)\/(-918) - (-8)\/(-36). Factor -k*z**3 - 26\/17*z - 54\/17*z**2 - 4\/17 - 14\/17*z**4.\nAnswer: -2*(z + 1)**3*(7*z + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (258 + -283 - (-18 + -1))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110*k + 76*k + 100*k)*(4 - 4 + 2*k) + (-6*k + 3*k + k)*(-2 + 5*k + 2) in the form x + r*k + c*k**2 and give c.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*r = 15, -3*r - r = 5*i - 25. Suppose -2 = -4*t + 6, 0 = -i*x - 3*t + 1241. What are the prime factors of x?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(0 + 4\/(-4)). Let j(v) = -2*v**3 + v - 6. Let y(k) = -k**3 + k - 7. Let n(q) = 6*j(q) - 5*y(q). Calculate n(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 603.\nAnswer: 5\/603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*h - 242*h - 28*h + 1492*h.\nAnswer: 1579*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - d - 20090, 0*f = 3*f + 5*d - 20096. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 162. Let f(b) = -51. Let s(i) = 7*f(i) - 2*y(i). Let z(c) = 12*c**2. Determine z(s(a)).\nAnswer: 48*a**2 + 1584*a + 13068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-633)\/5486*169\/(-468)*-3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 23*m - 14217. Let d = -270 + m. Does 32 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1611, -3226, -4841, -6456, -8071, -9686?\n\"Answer: -1615*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -28*z**3 - 3*z**2 - 9*z + 4. Let k be x(-8). Calculate the common denominator of -13\/3 and ((k\/(-1232))\/15)\/(9\/(-6)).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 6*r + 1. Let m be c(5). Let y be 0\/(4*m\/(-16)). Let o be 5\/(-3)*(-3 + y). Solve 3*j = -5*d - 24, -21 = o*d + 2*j - 0*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 31756*x**2 + 2. Let j(f) = -f - 395. Calculate j(s(h)).\nAnswer: -31756*h**2 - 397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*s - 236, -3*s - 1495 = 4*m - 1673 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782907 is divided by 183?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -8c?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 3*s**2 - 6*s - 6. Let j be 1 - (-8 - 16\/(-4)). Let y be m(j). Solve -3*r = -r - 4*u + y, 2*r + 9 = -u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49967 take away 0.2678893106?\nAnswer: 49966.7321106894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 - h**3\/2 + 9*h**2 + 8*h + 9. Calculate t(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153 + 298. Let s = -70 + c. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -25) + -9 + -16 + 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25582 + 131851\/5. Let p = b - 788. Factor -z + p*z**3 - 2\/5 - 3\/5*z**2 + 1\/5*z**4.\nAnswer: (z - 2)*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(38\/(3496\/(-414)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*n - 14 = 5*p + 412*n, -3*n - 29 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1216111 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3147029 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-200)\/(-120))\/((-2)\/((-48)\/20)). Factor 0*x**3 - 2\/3*x**b + 1\/3*x**5 - 1\/3*x + 2\/3*x**4 + 0.\nAnswer: x*(x - 1)*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -306*y**2 + 116*y?\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 36. Suppose -12 = -q*z, -z + 85 = -2*i - 65. Calculate the remainder when 74 is divided by i\/(-4) + (-21)\/(-28).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 2, c: 4, s: 3, z: 1}. What is prob of picking 1 i and 1 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose -2 + 3 = -n. Let z be (n*2)\/2 - -5. Solve z*d + 16 = k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-1\/2)*p*p*p))\/p**9*(p\/p**(-2\/3))\/p**(4\/7) assuming p is positive.\nAnswer: p**(-395\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2 + 5 + o**3 + 4 - 1. Let i be q(-3). Let x = i + 22. What is the highest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7784.399+-0.4\nAnswer: 7783.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 864517924 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - -2 - -7 - -7. Let a be c\/(-12) + -7 + (-164)\/(-24). Which is bigger: 2\/651 or a?\nAnswer: 2\/651","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 + (5 - 13))*(-6)\/(-4). Suppose -13 = -y + 4*x + f, 0 = 3*y + 4*x + 16. Which is bigger: 6\/151 or y?\nAnswer: 6\/151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*w + 24. Let p be w\/(-15) + (-3)\/9. Put 1, p, 0.1 in increasing order.\nAnswer: 0.1, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(2*3\/(-165)). Suppose -227 - r = -2*x. Suppose -5*c - 46 = -x. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*l + 2*l + 14 = 0, 0 = -3*l + 6. Let j = 6 + v. Calculate the smallest common multiple of 12 - (j\/(-1) - -3) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 518387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9952\/3*c + 12380288\/3 + 2\/3*c**2.\nAnswer: 2*(c + 2488)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 2\/3 (b) 2 (c) -49 (d) -4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 1. Suppose 7 = -5*g + 3*l, 6*g - 2*g + 12 = -4*l. Let z(t) = -2*t**2 - 2. What is g*z(m) + 3*y(m)?\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3191034?\nAnswer: 2, 3, 7, 11, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.748 - 0.062. Let s = 0.51 + h. Let m = -0.02 - 0.18. Which is the nearest to -0.1? (a) m (b) 1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 2*681\/(-6). Suppose 6*h - 41 - a = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, p: 2, k: 5, s: 3, u: 1}. Give prob of picking 1 p and 1 v.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23647 + 9409. Let p = -6641 - f. Suppose -1522 = -x + 2*l, x + 4*x - p = -3*l. What is x rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 = 52*i + 50*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 98731180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 408649363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1270617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1935 + 0.2. Round r to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/11 and -27\/49?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 380 and 649100.\nAnswer: 12332900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6510325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.455 to two dps.\nAnswer: -2.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(11) + 1)*5 - sqrt(88)\/(sqrt(8) - sqrt(8)*-3).\nAnswer: -17*sqrt(11)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 0, 13, 1, 4, -3, -188 in decreasing order.\nAnswer: 22, 13, 4, 1, 0, -3, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5*p - 51, -5*p + 12 = -y - 3*p. Let n be 4\/y + 427\/(-63). Let h = -7 - n. Solve 4*l - l + 9 = h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15 + 100)*5\/(25\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 - (-4224)\/440. Solve 51*m + n = 46*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17031414*-12\nAnswer: 204376968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 14\/(-6))*42\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158763.2008 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 2.3, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 9926.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 6*i - 2. Let w be v(-7). Suppose -4*y - 8 = -c, 0*y = 5*y + w. Suppose c*x - 8 = 3*x. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10873, -4, -5005, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/5, -1\/4, -14.4, 2\/7.\nAnswer: -14.4, -2\/5, -1\/4, -2\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + g - g + (37*g**3 + 44*g**3 - 17*g**3)*(16 - 99 + 2) + (-3 - 2 + 3)*(-3*g**3 - g**3 + 6*g**3) as l*g + t + d*g**3 + v*g**2 and give d.\nAnswer: -5190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*i**3 - 2\/7*i**5 + 0*i**2 + 0 + 0*i**4 + 0*i.\nAnswer: -2*i**3*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423 + -425. Which is the third biggest value? (a) 4\/3 (b) s (c) 4 (d) -3 (e) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z - 16 = 0. Let p = z + 8. Is p equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 77*f - 15. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 25 - 29 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 34946 - 34946 + 22*t**2. Let q(p) = 4*p**2 + 0*p**2 - 2*p**2. What is w(q(r))?\nAnswer: 104*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 318 and 1803166.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = -0*r. Let c = r - 13. Let j be c\/((-2)\/(-1 + -173)). What is j rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -0.3766916?\nAnswer: 0.7766916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -13*i - 4. Let x(d) = -d - 1. Let o(c) = p(c) - 3*x(c). List the prime factors of o(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 9 = 3*v, 218*v - 27 = -3*f + 209*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000147866 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3196 and 56899?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, 15, 41, 67, 93, 119?\n\"Answer: 26*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453*n = 472*n - 111872. Calculate the smallest common multiple of 52 and n.\nAnswer: 76544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n**2 + 47. Give p(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/5)\/(0 + -2). Let y = 12169\/7 - 1738. Which is the biggest value? (a) v (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*x = 2*p - 30, -20 = -4*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 49810, -35 in descending order.\nAnswer: 49810, 39, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90776412, -181552821, -272329230, -363105639?\nAnswer: -453882048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -98?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y**2 + y. Let m = -211 + 219. Let d(c) = 5*c - m*c - 13 + 13. Calculate d(v(o)).\nAnswer: 30*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 - 15*u + 205 - 443.\nAnswer: -15*u - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5\/9 + 1300*d**4\/9 + 298*d**3 - 781208*d**2\/9 - 3115576*d\/9 - 1035200\/3 = 0.\nAnswer: -647, -24, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -1 (c) 27\/7 (d) 0.02 (e) -4 (f) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-4\/5)\/u)*u)\/(u**7\/u*u))**(-1\/5)\/((u**(-1))**32*(u*u*u**(2\/5)*u)\/((u*u**(-1\/2)*u)\/u)) assuming u is positive.\nAnswer: u**(1487\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 18*y**2 - 15*y - 2. Let h be d(-17). Let s = 51 + h. Let n be (48\/s)\/(-4)*-20. Solve -4*p = 3*a - n - 8, 9 = 3*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3535 a factor of 138660375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 442 - -8?\nAnswer: 44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + x + 15, -44*s + 41*s = -3*x - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i - 3648 = 46*i - 312*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**4\/4 - 5*k**3\/3 - 3*k**2\/2 - 10*k + 640. Give g(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5\/4 + 6*n**4 + 9*n**3.\nAnswer: 3*n**3*(n + 2)*(n + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1574836?\nAnswer: 2, 393709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958*f**2 - 41 - 41 + 82 - 1918*f**2 + 1015*f**2.\nAnswer: 55*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v\/v**0*v)\/v))**(-1\/14)\/(v**(1\/4)\/v**(-6\/11)))**(3\/5) assuming v is positive.\nAnswer: v**(-801\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*2*-4*3\/48\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190 + 138. What are the prime factors of t?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82413*r**2 - 95049*r.\nAnswer: 164826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1. Let c(f) = f - 11. Let q(w) = -c(w) - 5*n(w). Let z be q(16). Suppose -2*m + 2 = z, m - 2*m + 81 = 4*i. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10188735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xee when three letters picked without replacement from {e: 3, w: 2, f: 1, x: 7, a: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -834.7 + 833.7. Put 0.4, 3.1, -0.2, l, -0.1 in increasing order.\nAnswer: l, -0.2, -0.1, 0.4, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**4\/12 + 4*v**3\/3 - 2*v**2 + 2*v. Let c be 54\/(-5) - 4\/20. What are the prime factors of j(c)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20408 - 20405. Solve -52 + 79 = -v*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15583\/4 + -3896. Which is the nearest to -0.1? (a) 3 (b) x (c) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 5*t - t**2 - 2 - 1\/12*t**4 + 7\/6*t**3. Give u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uummmfuuffefmau. Give prob of sequence fm.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -16*i + 17*i, 6*u + 30 = -24*u + 2*i - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 30. Let z(d) = 2 + 20*d**3 - 3*d**f - 3*d**2 - 21*d**3 - 2*d + 0. Give z(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((81\/(-90))\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2854*h + 393944. What is y(138)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 2*x**2 - 5*x - 3. Let f be o(-2). Let v(j) be the first derivative of 2*j**2 - 2*j + 33. Let a(w) = -3*w + 1. Give f*a(n) + 5*v(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 248, 1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61586719?\nAnswer: 199, 309481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 4*u + 3*k = -3, 5*u = -17*k - 36 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z + 5, 4*h + z - 11 = 0. Let l = -157 - -228. Suppose 3*g - 34 = 5*b + 19, -h*g - 4*b = -l. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 0.0327, -17, -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 12 = -3*x, 57*x - 32 = 54*x + 7*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11190)\/13428*(-54)\/375.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39594883 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 328 + 233. Suppose 2*k + 3*r - m = 6*k, -3*k - 5*r - 399 = 0. Let s = k - -249. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s. Let k(d) be the second derivative of 1985*d**3\/3 - d**2\/2 - 15*d + 18. Calculate o(k(h)).\nAnswer: 11910*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 4*s**2 + 5*s + 4. Let w be f(-3). Let b = 0 - w. What is the second derivative of -4 + 6 - 2*r - r**4 - b wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**2. Let u(n) be the first derivative of n**3\/3 + 2. What is u(d(m))?\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446882 is divided by 729?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.4 - -6. Let s = m + 0.40022. Round s to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(15)\/sqrt(3) - (4 + 2*sqrt(5))) + -3)**2.\nAnswer: 4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12323112112 (base 4) to base 10.\nAnswer: -1815958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(15) - (sqrt(15)*-2 + sqrt(15))))\/sqrt(5))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 11*s - 8. Let k be 5 + -4 + 2 + 2. Suppose 5*m - k*p - 80 = 0, -3*m = -6*m - 5*p + 48. What is the smallest common multiple of q(8) and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-5*sqrt(12)\/sqrt(4)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezzz when four letters picked without replacement from zezzeeezzzezzzzzze.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 17*r**2 + 152*r + 2728. Determine s(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8816, -8725, -8634, -8543, -8452?\nAnswer: -8361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 5\/72*m**4 + 0 - 1\/18*m**3 + 11*m + 0*m**2. Factor x(r).\nAnswer: r*(5*r - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 403\/615 + -56\/123. Which is the second smallest value? (a) -1\/10 (b) -0.034 (c) 2\/5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67118104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616 divided by -88.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 10*g - g**2 - 15 - g**2 + 6*g + 2*g**3 to o + n*g**3 + x*g**2 + b*g and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {d: 1, e: 1, v: 1, o: 1, z: 2, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, i: 4, m: 2, z: 4, v: 2, h: 1}. Give prob of sequence mrm.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-20)*(-5)\/2 - -2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -216962, -216951, -216940, -216929, -216918, -216907?\n\"Answer: 11*w - 216973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4619 = 4*h, -38*h - 4*r + 5800 = -33*h. Calculate the greatest common divisor of h and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1\/4 (c) 932\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*12*(-6)\/(-54).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -19*j - 7. Let n(d) = 19*d + 6. Let c(a) = -38*a - 12. Let u(i) = -6*c(i) - 11*n(i). Let z(b) = -7*h(b) - 6*u(b). Differentiate z(k) wrt k.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -b0?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 12, 3*j + y = 2*y + 117. Suppose -5*p = -10 + j. What is the units digit of (5\/15)\/((-2)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from quuuuquffqqq?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 38*q - 15. Let v(w) = w**2 + 13*w - 5. Let p = -27 - -16. Let d(n) = p*v(n) + 4*j(n). Let a be d(-9). Is a <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53637.54 nanometers to meters.\nAnswer: 0.00005363754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -62. Let t be q\/14 - (-70)\/4. Suppose -11*n**3 + 4*n**4 + t*n**2 - 12*n**3 + 3*n**3 - 2*n**2 = 0. What is n?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 + -1.94. Let j = -53633.32 - -53633. What is the second biggest value in -0.4, j, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/247? (a) 0.1 (b) -14 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 2*j - j**2 - j**2 + (-2*j + 2*j - j)*(-j + j + 2*j + (1 + 1 - 1)*(-2*j + 2 - 2) - 4 + 4 + 4*j) in the form p*j + g*j**2 + f and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134926, 134929, 134932, 134935?\nAnswer: 134938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*h - 12. Suppose -1 = -h*p + 7. Solve 2*m - 12 = -2*b, 3*m = -p*b + 11 + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726083 to the power of 1\/2, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 17 - 52 + 20 + 58*r**3 + 90*r**3.\nAnswer: 148*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -506 + 509. Let w be 6*(-5)\/(-40)*(1 + n). Solve 2*b + 3*s + w = 5*b, 0 = 2*b + 5*s + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17546 + -17509. Solve -t*a + 42 = -106 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38775 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1393881 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-7)\/140)\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*n + 15798*n**2 - 2*n**3 - 15798*n**2)*(2*n - 3*n + 2*n).\nAnswer: -2*n**4 - 27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/32*2\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(36\/(-66)) + -26 + -18 + 8.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 5*o - 0, o + 5*q + 10 = 0. Suppose 36 = 4*v - m, 0*v - 2*v + 3*m + 8 = o. Calculate the lowest common multiple of 0 - (-1 - (0 - -1)) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 7*i - 2. Suppose 0 = -0*g - 5*g + 30. What is the units digit of n(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-9))\/(6\/54). Solve -b = -0*h + 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 31 and -246\/185 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.3 (b) 0.24 (c) 2 (d) -62721\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Suppose 3 = -x + w. Does 12 divide (-129)\/(-4) + x\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11573423 (base 10) to base 16\nAnswer: b098af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = -f. Is -2 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/12*-2*1. Solve i - x = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-3660\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.7777306 and -3.\nAnswer: -8.3331918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 43 = -2*j, 2*c - j + 0*j = 74. Let w be (-224)\/c*(-5)\/2. Suppose 5*m - u + 5 - w = 0, 5*u - 3 = -4*m. Sort -3, -10, m in descending order.\nAnswer: m, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -228 + 625. Let k = 574 - l. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 2. Let w(u) = 1. Let q(a) = -f(a) + 3*w(a). Let d be q(-2). Let t = -280 + 280.1. What is the biggest value in t, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - sqrt(1568)*1) + 5*((sqrt(24)\/sqrt(2))\/sqrt(6) - sqrt(2) - sqrt(2)).\nAnswer: -29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318306 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v - 14. Determine t(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m - 12. Let i(k) = 10*k - k**2 + 11 + m + 1. List the prime factors of i(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19265781953 - -4\nAnswer: -19265781949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**6\/(n*n*n**3) assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.59 and -0.1172.\nAnswer: 0.303548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**5 + 82668*v**4 - 13207724*v**3 + 38135492*v**2 + 116224848*v + 64798960 = 0.\nAnswer: -1, 5, 158, 20506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27076 and 54152.\nAnswer: 54152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.73 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1877, -15371, -52085, -123629, -241613?\n\"Answer: -1935*w**3 + 51*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/35)\/((-9)\/(-10)). Find k, given that -8\/9*k**2 - 8\/9*k - q*k**3 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g - 34*g - 112 = 0. Which is the nearest to g? (a) 2\/3 (b) -0.1 (c) 4\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13896238 and 0.95?\nAnswer: -13201426.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(14\/(-4))*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 286?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p = -52. Suppose 3*a = 2*r + 73, 3*a - 65 = r + 9. Suppose -v + s - 6 = -a, -2*v + 53 = -5*s. Calculate the remainder when p is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7446 (b) 0 (c) 0.043 (d) -0.5 (e) 4 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*q - 4*y, -q + 25 = 2*q + 4*y. Suppose 1 = o - q. Solve -5*g + o*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-7)*1 - (-674)\/7 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 10:01 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a - 0*a. Let i(h) be the second derivative of -1\/6*h**3 + 3*h + 0 + 1\/2*h**2. What is i(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2195 + 0.2195366. Round v to six dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 292.6 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -14*n - 193 - 87 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 160 = 2*r - 5*r + 237, -v = -3*r + 29 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**4\/8 - v**3\/6 - 2*v**2. Let b be s(-1). Suppose -d = b*d - 9. Let a(y) = 2*y**2 - 3*y + 1. What is a(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - -222. Calculate the greatest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**3\/6 - 110*f. Let o(q) be the first derivative of 15*q**2\/2 + 5. What is y(o(l))?\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -47, -221, -559, -1115?\nAnswer: -1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1237*s + 1235*s + 5*n - 20, 4*s + 10*n = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -49. Let l be (8 - o)\/((-3)\/2). Factor 4*k - 9*k**3 + 7*k**l + 0*k**2 - 11*k**2 - k**2.\nAnswer: k*(k - 2)*(k + 1)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - m - 3)*(-4 - 1 + 3) + 5*m + 8*m - 5*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 43.26518 days?\nAnswer: 3738111552000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -5*q - 0 - 25, r - 2*q - 8 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*a - 59, -a - 31 + 5 = 3*b. What is the nearest to 0.1 in a, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (89 + 3)\/(-4). Let z be -7*(1 - v\/21). Solve p - 1 = z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6245 divided by -6245\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 212 - 113. Suppose -47*i = 2272 - 10215. Calculate the highest common factor of l and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 15*x**2 + 16*x - 28. Let t be m(14). What is the nearest to t in 0.1, 2\/7, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 0*b + 2*b + 5 + (4*b + 0*b - b)*(-2 + 4 - 1).\nAnswer: 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + s - 5*s**2 + 1 + 3*s**2 as d*s**2 + r*s + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*y - 6, 10 = 2*a + 2*y - 5*y. Let v(z) = -4*z**2 + 0*z**2 - z**a. Let p(b) be the third derivative of b**5\/30 - 2*b**2. What is p(v(w))?\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (435\/10)\/(2\/(-4)). Let o = b - -55. Let r = o - -58. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 70?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**2 + 11*a + 11. Let r(n) = n**2 - 2*n - 2. Let y(o) = 4*l(o) + 22*r(o). Let q(f) = 2*f**2 - 3*f**2 + 3*f**2. Calculate q(y(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125216684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -11332, -5\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3533 equal to -3535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 12:10 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.272001661 and -0.5.\nAnswer: 0.772001661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -238, -335?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*l + 0*l - 66 = 0, -w + 5*l = -33. Suppose -u + 9 = -4*u, w = 4*s + u. What is the tens digit of 1*((-95)\/(-4) - s\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**15*p**14\/p assuming p is positive.\nAnswer: p**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -20909300 to the nearest 100000.\nAnswer: -20900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18855 and 24.\nAnswer: 150840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97219 is divided by 19435?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -1\/4*d**2 + 5 - 2\/5*d**5 + 0*d - 2\/3*d**3 - 1\/12*d**6 - 3\/4*d**4. Determine k so that q(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u. Let t(j) = -3*j**2 + 520. Give t(z(y)).\nAnswer: -363*y**2 + 520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -192, 2 in ascending order.\nAnswer: -192, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**6\/15 + d**4\/12 + 5*d. Find the third derivative of w(j) wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from {a: 1, y: 1, o: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 302?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6278132 is divided by 11519?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**3 + 3*i**2 + 5*i + 5. Let b be a(-2). Let j be 1 + 2 + -5 + -14. Let s = b + j. Calculate the greatest common factor of 46 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hymmmyhhm. Give prob of sequence my.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c - 5*k - 449, 2*c + k - 221 = 0. Let v be 74\/c + (-8)\/(-6) + -1. Let q(a) = 15*a**2 + 1. Calculate q(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 3*k - 70, -5*k + 43 = -279*w + 283*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3232555022?\nAnswer: 2, 79, 20459209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/5, 65, -1 in ascending order.\nAnswer: -3, -1, 2\/5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*s)*(284*s - 35*s + 416*s - 4*s**3 + s**3).\nAnswer: 6*s**4 - 1330*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - a)*(-2*a**3 - 1 + 1) + ((0 + 0 - 2)*(1 + a - 1) - 3*a + 3*a + 4*a)*(-4*a**3 + a**3 + 7*a**3).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -61, -101, -141, -181, -221?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -1\/12*a**5 + 0 + 0*a**4 - 34*a**2 + 0*a + 3*a**3 - 1\/20*a**6. Differentiate d(v) with respect to v.\nAnswer: -18*v**2 - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 + -113. Solve 13*a + 10 + k = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(228) - (6*(-6*sqrt(228) - sqrt(228)) - sqrt(228)))\/((sqrt(72)*2)\/sqrt(6)).\nAnswer: 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*m - d, 5*m = -0*m + d + 37. Is 128\/m + -11 + 12 + -1 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.1. Let p = 34\/695 - -21\/139. Sort 2, x, p, -4.\nAnswer: -4, x, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 - 638*t + 638*t)*(-1 + 0 + 4) as u*t + f*t**2 + c and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 7*v + 1. Let f be w(-7). Suppose -g - f = -7. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479, -968, -1457, -1946, -2435, -2924?\nAnswer: -3413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16592460 divided by -1310.\nAnswer: -12666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(78) - (sqrt(78)*-1 + sqrt(78)) - sqrt(78))*-2)\/(2*sqrt(66)\/(sqrt(11) + sqrt(22)\/sqrt(2)))*4 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 34880*a - 6930078.\nAnswer: -2*(a - 17239)*(a - 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/31148 and -139\/64220.\nAnswer: 38467780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4 - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4746040203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uug when three letters picked without replacement from fffggffffgugfuh.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -23. Suppose -3*v + 84 = -t, 2*t - 3*t - 76 = -o*v. Let c be (-1320)\/(t\/(-45) + -2). What is c rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**2 + 3*h + 16. Let x(t) = -3*t**2 + 2*t + 10. Calculate 3*v(k) - 5*x(k).\nAnswer: -3*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, g: 7}. Give prob of sequence yy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4324 is divided by 626?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b9199 + 4?\nAnswer: -b9195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.27229 - 0.06771. What is a rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 85\/(-5) + -23 + 37. Let f = -2 - -4. Suppose 10 = 4*w - z, -6 = -2*w + 2*z + f. Solve w*i = -x*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25524 and 1800.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13836414 by 11598.\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 101011101?\nAnswer: -101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62725740, -62725739, -62725738?\n\"Answer: p - 62725741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v + 39. Let a be m(5). Suppose 2*y - 20 = y - 4*c, -4*c + a = 2*y. Let l(b) = 4*b**2 + 3*b + 2. Let p be l(-1). Solve i + p = y*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/193403 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 24. Suppose 12 = -w*m + 4, -3*d = -4*m - 451. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -489 and -0.3?\nAnswer: 146.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 - 9\/((-54)\/24) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*l + 17 + 198, 3*c = l - 43. Solve 31 - l = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10547 and 689.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - 4*p)*(13*p**2 - 13*p**2 - 10*p**4) - 2*p**5 + p**5 + 0*p**5.\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 62. Suppose 8 + 2 = 2*p. What is the second derivative of v*q**p - q - q**5 + 0*q wrt q?\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(147\/(-112))*(19\/1710*-35)\/7?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 31*s + 13350*s**3 - 6*s - 22*s.\nAnswer: 13350*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -484, -496, -508, -520, -532?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(7 - 7 + i)*(-46 + 83 - 50)*(-7 + 5 - 6).\nAnswer: -312*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.22 + 12.78. Let i = -0.2 - -3.2. What is the closest to 0 in 2, i, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 42*t**2 - 394*t - 16. Calculate d(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 1099 a factor of 4993806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1138 + 1131 - (3 + -1 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -136 - -391. Let h = -255.00000628 + i. Round h to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.5 (c) 0 (d) -171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**4 - 6952*l**3 + 6027368*l**2 + 24192960*l + 24220800 = 0.\nAnswer: -2, 1740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*(-9)\/189*-9)\/(6\/8). What is the nearest to 14\/17 in 2\/11, t, -1\/5, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25292314 and 157684?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11742*g + 238752 = 8826 - 401915 + 103451 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 901 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*f**2 - 4*f + 24 + 2*f - 31 + 24.\nAnswer: -138*f**2 - 2*f + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0607 + 4735.\nAnswer: 4734.9393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/84*4\/(-3). Let o = 9 + -13. Let u be (-2)\/42 + (-10)\/35. Which is the nearest to o? (a) l (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 5*c - 8. Let k(o) = 17*o + 232. Let z be k(-14). Give a(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2*(-16)\/(224\/(-14)))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*w - 26, 25 = 4*y - 23*w + 22*w for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v + 1 - 5*v + 0. Suppose -m - 2*f = -9, 4 - 14 = -2*f. Is y(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rff when three letters picked without replacement from {f: 2, r: 1, x: 2, u: 6}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((2*sqrt(117)*-2 + sqrt(117) + sqrt(117)*1*5)\/(sqrt(36)\/(sqrt(400)*2 + sqrt(400))) + 3))**2.\nAnswer: 360*sqrt(13) + 46809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205747822.\nAnswer: 2, 7, 14696273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164.991 + -165. Sort g, -4\/7, 3 in ascending order.\nAnswer: -4\/7, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14213002 (base 5) to base 12\nAnswer: -716b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 518152*b - 518197. Calculate f(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36794.2mm to micrometers.\nAnswer: 36794200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2 - 3932*k - 31328 = 0?\nAnswer: -1958, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-24)\/(8\/2). Factor 11*r**g + 6*r**5 - 33*r**5 + 12*r**5 + 8*r**4.\nAnswer: -4*r**4*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 275 = -2*g - 23*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 38*n**2 + 5*n + 186. Let i(k) = -19*k**2 - 3*k - 93. Let q(h) = -3*a(h) - 5*i(h). What is the derivative of q(t) wrt t?\nAnswer: -38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(5\/4)\/(m**(-4)*m))\/(m**4*m**(1\/23)))**(12\/7) assuming m is positive.\nAnswer: m**(57\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.1 - 22.5. Which is the nearest to 1? (a) i (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2906944377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*42\/(-28)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 u, and 1 m when four letters picked without replacement from {n: 1, m: 3, l: 9, u: 4, z: 1}.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(78)*2)\/sqrt(6) - (1 + sqrt(468) - sqrt(468)) - (sqrt(65)\/(2*sqrt(500)))**2).\nAnswer: 787\/400 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*t + 211 - 121 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -25*d + 304. Let z be k(12). Solve -3*n - 1 = 2*n - 4*a, 0 = -2*n + z*a + 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*o = -178*o - 4059. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -547, -2180, -4903, -8716, -13619, -19612, -26695?\nAnswer: -34868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/5, 0.4, 19\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*f = 4477 + 9438 - 3566 for f.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-1))\/(6 + 24\/(-3)). Suppose -h + 157 - 12 = -4*u, 5*u + 4*h + 155 = b. Is -37 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 3532*d + 1559378.\nAnswer: 2*(d - 883)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 14*n**2 + 6*n. Let a(y) = -y**2 - y. Suppose 990*j + 300*j - 11537 = -3797. Suppose 0*c = -2*c + 2. Give c*g(z) + j*a(z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10549 - -10553. Let j(k) = -k**2 + k - 1. Let n(u) = -4*u**2 + 2*u - 3. Calculate r*j(y) - 2*n(y).\nAnswer: 4*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-6 - 4 - (6 + -12 - -41)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12 - 1012003?\nAnswer: -1012001.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7264852 and 644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.9, 11\/364, -2\/7, 0, -4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than -844.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywbkwkk. What is prob of picking 2 k and 1 w?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 397965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 211\/1105 - -2\/221. What is the nearest to 6 in t, 2\/3, -1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569979.7 centuries to millennia.\nAnswer: 56997.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4829397*h**3 + 21250315*h wrt h?\nAnswer: -28976382*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -123020 (base 8) in base 14?\nAnswer: -116c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1315872 and 58392.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4186 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12654*o**5 - 10669*o**4 + o**3 - 43*o**2 + 461705*o.\nAnswer: -759240*o**2 - 256056*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffucuncffffcuucfmff. Give prob of picking 1 f, 1 c, and 1 u.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 446817457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3*c = -1 - 4, 4*y = 4*c + 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326355655?\nAnswer: 5, 65271131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7249, -14475, -21711, -28963, -36237?\n\"Answer: -l**3 + l**2 - 7222*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27094.02 days in milliseconds?\nAnswer: 2340923328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-119)\/(-42) + -3)\/(111\/(-36))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4. Let f(h) = -9*h + 2*h + 8*h + 14. Let k(y) = 7*a(y) - 2*f(y). Let v(m) = -22*m. What is v(k(g))?\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 5*r**2 - 7*r - 4. Let g be (8\/10)\/(-1*1\/5). What is q(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/22 and 139\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 3, -114105 in descending order.\nAnswer: 6, 3, -2, -114105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 2*i + 4. Let z(o) = -4*o**2 - 7*o - 17. Let n(y) = -9*m(y) - 2*z(y). Let w be (-1)\/2 + 1\/2. Let v = -2 + w. Give n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268)*1 - sqrt(2268) - sqrt(2268))*3 + sqrt(2268))\/(sqrt(4)*-1*-5 - sqrt(144)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3 and -29\/69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632 is divided by 401.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7268 + -4857. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 7*c + 6*c + 14 = 0, -5*u + c + 18 = 0. Suppose 3*m = 5*a + 72, -5*m + 130 = -u*a - a. Calculate the remainder when 54 is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 6:56 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 257219683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3\/4 - 7*p**2 - 33*p\/4 - 2 = 0. What is p?\nAnswer: -8, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85079 + -1164302. Let h = -1249381.2099993 - f. Let r = h - -0.21. Round r to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4080636 divided by 291474\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10526 (b) -2\/9 (c) -315 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 501 = 3*t. Suppose -7*g - t = -9*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3407*w**4 - 6*w**2 - 4104742*w wrt w?\nAnswer: 40884*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - -0.05. Let o = -0.00008 - d. What is o rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2760 and 56420380?\nAnswer: 338522280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-4) + 3\/4 + 3. Suppose p - 17 = -5*q, -n*q + 0*p + 2*p = -18. What is the third derivative of -q*s**2 + 7*s**2 + 13*s**2 + 2*s**3 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3\/4, 22, 0.5, -2\/17, 252?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 5) to base 4.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, 258, 664, 1242, 1998, 2938, 4068, 5394?\n\"Answer: k**3 + 77*k**2 + 2*k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*k = 27, 13 = -2*j + 5*k - 1. Let r = -14 + 13. Sort j, 0.5, r.\nAnswer: r, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220 + -111321?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3001 or 3002?\nAnswer: 3002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 25054000 to the nearest 100000.\nAnswer: 25100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 3*j + 1. Let y be q(-2). Suppose 4*t - 6 = -2*d, -t - y*t - d = -7. Solve 3*n + t = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3638?\nAnswer: 2, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 53*z - 991. Let x be r(15). Solve 21*w = -155 + x for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -10465?\nAnswer: -10462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - 2*x**2 + 0*x**2 + (-2*x + 0 + 0)*(-3*x + 3*x + 2*x) + 2*x**2 + 2*x**2 - x**2 + 34*x**2 - 147*x + 147*x + 0*x**2 + 2*x**2 - 2 + 1.\nAnswer: 34*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10012 - -11?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/140*-1*(-1)\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + 12. Let g = f - 30. Let o(j) = -532*j + 4. Let u be o(g). Round u to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, n: 2, z: 1, q: 2, h: 4, s: 2}. What is prob of sequence hsn?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 12754905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/162)\/((-9)\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:30 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/1685918 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 865531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2299334030?\nAnswer: 2, 5, 7, 1511, 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 955992272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i**2 - 9*i**2 + 2*i**3)*(i - 4*i + 4*i) - 4*i**4 - 3*i**2 + 3*i**2 - 2*i**4 + 4*i**4 + i**4.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6.7*-53\nAnswer: -355.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-410)\/(-72) + 18\/81 and (-2)\/24*730\/(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 3. Let u be x(-3). Let v be 16\/u*(-1)\/4. Solve -g + 2\/3*g**3 - v + 1\/3*g**5 - 2\/3*g**2 + g**4 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y - 6*y**5 + (0*y + 2*y + 0*y)*(0*y**4 - y**4 + 3*y**4) + 4*y**5 - 1468 - 26*y**2 + 1468.\nAnswer: 2*y**5 - 26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**4*x - 71*h**3*x**2 - 245*h**2 - 5*h*x**2 - 2*h + 19*x**2 - 8*x wrt h?\nAnswer: 24*h**2*x - 426*h*x**2 - 490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 386.1332 + -386. Let f = -0.13 + l. Round f to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2. Let z(r) be the second derivative of r**5\/60 - r**2 - r. Let u(l) be the first derivative of z(l). Determine u(d(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/350)\/((-8646)\/(-3668))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l\/(l*l*l\/(l\/(l*l*((l**(-1)*l*l)\/l)\/l*l)))*l*l)\/l)))**(-31)\/((l**4\/l)\/(l**2*l))*((l**10\/l*l)\/l**8)**(14\/5) assuming l is positive.\nAnswer: l**(338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.001, 0, -2\/7?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52404725\/41091 - -1\/13697. Let p = 22925\/18 + w. What is the common denominator of p and (4\/(-6))\/(396\/(-3927))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1355*f + 1413*f - 4930. What is the remainder when 662 is divided by f?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 30*l**2 - 39*l - 181. What is n(32)?\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 232868768 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -17. What is the closest to -4\/3 in 2, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/12 and -63\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -2\/3, -17, -5\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-294018)\/(-28) + (-3)\/6 - 78\/546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3157181, -3157036, -3156785, -3156422, -3155941?\n\"Answer: y**3 + 47*y**2 - 3*y - 3157226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3248, 10220, 20908, 35312, 53432?\nAnswer: 75268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*c*c*c*c*c\/(c**9*c))\/(c*c**(2\/7)*c*c)**(-1\/42) assuming c is positive.\nAnswer: c**(905\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/51)*b**29*b)**39 assuming b is positive.\nAnswer: b**(19864\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4146*z**2. Let o(y) = -6*y**2. Calculate o(a(q)).\nAnswer: -103135896*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g**2 + 8667. Let c(s) = 12*s - 3. Give o(c(i)).\nAnswer: 1872*i**2 - 936*i + 8784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -642*k**3 + 8*k**2 - 12*k + 559. Let x(u) = -641*u**3 + 10*u**2 - 15*u + 558. Let v(s) = -5*g(s) + 4*x(s). Differentiate v(z) with respect to z.\nAnswer: 1938*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.031? (a) -3 (b) -2\/67 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -5*a + 3*r + 34, r = -2*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17) + 5 + -2*sqrt(68)\/sqrt(4) - (-2 + sqrt(17) + 6*sqrt(68)).\nAnswer: -14*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 549, 1507, 3201, 5835, 9613?\nAnswer: 14739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**3\/3 + 44*l**2 + 1136*l\/3 + 896 = 0.\nAnswer: -21, -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40564523 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 953 + 952 + 948 - 3811 + 958 + 5*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.7. Let q be (8\/(-132))\/(2\/(-18)). Which is the third smallest value? (a) q (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 787*v**3 + v**2 - 563?\nAnswer: 2361*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-97)\/((-9603)\/(-924))*6\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 6:01 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.03, -1\/6, -4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 364, 543, 722, 901, 1080?\nAnswer: 1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 15 + 6)*(3*d - d + 8*d) + (3*d - 7*d + 3*d)*(3 - 5 + 1) as q*d + a and give q.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 88*j**2 - 796*j - 796. Give k(-1).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z + 3. Let w be d(2). Let v(m) = -m + w*m**2 - 3 - m + 2. List the prime factors of v(-1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/6)\/(14\/8). What is the second biggest value in -3, -0.02, o?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-2 - -5) - -6. Solve 2*d - 5 + v = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 4, h: 2}. What is prob of sequence hh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 437619 divided by 33663?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_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: Suppose -2*o - o = 0. Suppose o = h - 2 - 1, j + 5*h = 150. Suppose 0 = -8*a + 3*a + j. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -12*k + 328. Let q be v(21). Calculate the greatest common factor of q and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/33)\/((-22)\/(-33))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 102605, 206147, 309689, 413231, 516773, 620315?\n\"Answer: 103542*s - 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1616 by 1616.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 13748088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74518 and 742.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 - 2) + (-13 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*o - 244 + 1452 = 0, -898 = -3*l + 5*o. Suppose -s + l = s - 4*d, 572 = 4*s + 2*d. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 1541 = -54*v. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.059512 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + 2. Let p = 91.9 + -78. Let a = p + -13.9. What is the closest to -1\/2 in a, y, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37129.4 centuries?\nAnswer: 3712940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.76 - 0.16. Let w = -2 + a. Let m be ((-4)\/13)\/(5 + -7). What is the second smallest value in m, 4, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -r + 3*p, -2 = -r + 2*p + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5.38 + -0.91\nAnswer: 4.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-34) - 14248\/(-2329).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194.8 + -125.7. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-15))\/((-6)\/45). Suppose 3*h + m + 39 = v*m, -4*m = 0. Let g(b) = -b**2 - 12*b + 17. What is the units digit of g(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 866*i*j**2*m - 2*i*j**2 + 13*i*j*m - 48*i*j - 6*j**2*m + 203*j**2 + 7*j*m + 3*j - 26 wrt j.\nAnswer: 1732*i*m - 4*i - 12*m + 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 + 50*w**2\/3 - 36*w.\nAnswer: 2*w*(w - 2)*(w + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 29*j = -18. Let l be (j - -2)*(1 - 9\/6). Let y be ((-4)\/6 + 1)\/(l\/90). Put y, -2, 1 in descending order.\nAnswer: 1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1. Let b(q) = -q + 6. Let s(t) = -b(t) + 6*o(t). Let d(n) = 7*n**2 - 3*n + 7. Let w(f) = d(f) - 6*s(f). Is w(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - (0 - -1 - 2). Determine j, given that -h*j**2 + j - 2\/5 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2395\/10 - 45\/(-15))\/(3\/18). Solve -4*q + v = 1447 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.08616 or -0.4?\nAnswer: 0.08616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 3*v**2 - 7*v + 5. Let c be l(-6). Let h = c + -81. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 1445?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-10))\/(40\/(-25)) + -1)\/(1399371\/(-120376))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66341 and 407.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, e: 13}. What is prob of sequence eye?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 10 - 1 - 0 - 8 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -103*b + 596 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34187 + 34248. Let m = 13 + -7. Suppose -4*c + 269 = 5*t, -m*c + t + 300 = -c. Is l > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88024 + -56581. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1 + 4 - 4. Suppose -4*c - 2*c + 108 = u. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-3))\/(26\/(-156)). Let o be h + -3 - (-6 - -15). Sort o, 2, -1 in decreasing order.\nAnswer: 2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (sqrt(200) - -3*sqrt(200)*1) + sqrt(200) + 4*(5 + sqrt(200) + 1 + sqrt(200)))**2.\nAnswer: 14820*sqrt(2) + 102483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + x - x - x + 10.\nAnswer: 2*x + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1 - 1 + 1. Let y(r) = -r + 2*r**2 + 8*r**2 - 11*r**2. Let s(h) = 7*h**2 + 5*h + 3. Let u(t) = s(t) + 6*y(t). Give 5*q(z) - u(z).\nAnswer: -z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/7 - 144*c\/7 - 5184\/7.\nAnswer: -(c + 72)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 232 + 54)*(-p**2 + 3*p**2 + p**2).\nAnswer: 744*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16084952 divided by -21944\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:13 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2438 - 4881 + 8974*r + 2443 to the form y*r + v and give y.\nAnswer: 8974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -134 + 101 - (-19 + -18 + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -272.6 * 1\nAnswer: -272.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjmjvivjj. Give prob of sequence vim.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-2*(546\/1183)\/(12\/39)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/9))\/((f**(1\/2)*f)\/f))\/((f*f\/(f\/(f\/f**(-1))))\/f)**40)\/((f\/(f*f*f**2*f)*f)**(-1\/53)\/(f**8*f*f**(-1\/2))) assuming f is positive.\nAnswer: f**(-33841\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2, -8, 1\/5, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*h - 0*h. Let q be (-479)\/(-2) + (-3)\/h. Let p = q + -238. Are p and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 1. Let g = -3 - 1. Suppose 0 = -2*d - 88 + 88. Put z, d, g in ascending order.\nAnswer: g, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 - 70. Calculate the highest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 6*w + 1. Let r be j(6). Let v = -15 + 23. Let n = -12 + v. What is the third smallest value in r, n, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 12:47 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 5 (c) -0.5 (d) 7 (e) -1 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-14) + 1 + (-100)\/(-1400)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*s + 25 = 0, 0 = -33*v + 30*v - 2*s + 16. Calculate the remainder when 2263 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-12))*x)\/(x*x**(2\/5)))**(6\/19) assuming x is positive.\nAnswer: x**(348\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 814 and 2215190.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 + 4. Let w(s) be the third derivative of -s**5\/15 - 5*s**3\/6 - 32*s**2. Determine 3*u(n) + 2*w(n).\nAnswer: 4*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 0 + -1 + (sqrt(10)\/(-2*sqrt(2)) - (-3 + sqrt(15)\/sqrt(3))))**2.\nAnswer: 30*sqrt(5) + 1141\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 299139730 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k - 6 + 1\/2*k**2. Suppose -4 = -3*q - 13. Determine r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12. Let x be 0\/(-3 - -2 - w). Solve 2*l + 10 = -3*q, x*q + q + 15 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 50*p**2 + 8*p - 339. What is the remainder when 176 is divided by v(50)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5}. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**5\/5 - 9*a**4\/5 - 1452*a**3\/5 - 288*a**2 = 0.\nAnswer: -20, -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l + 4 = -46*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*b + 141*b + 50*b - 3*b**3 - 1 + 4*b**3 + 124*b.\nAnswer: b**3 - 88*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1788, 3684, 5590, 7512, 9456, 11428?\n\"Answer: u**3 - u**2 + 1892*u - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*a**2 + 158*a**2 + 5*a**2 - 80*a**2 + 29*a**2.\nAnswer: 378*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 175\/30)*6 + (-14 - -32).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128353860 or -128353861?\nAnswer: -128353860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 406588 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, z: 6}. Give prob of sequence zv.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 34\/5, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 + 107. Let x(p) = -p**2 - 3*p + 2. Give x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 50 = 2*m. Suppose 12 + 65 = 7*n. Solve 4*l = m*o + n, 3*o + 18 = -2*o - 3*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1588 + -190561\/120. Is c > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/((-1495)\/(-360)) + 5\/((-5)\/(-6)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) -6\/11 (c) 237 (d) 1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28303 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 0.1, -125, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -16*y + 1. Let z be v(0). Which is smaller: z or 4\/103?\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 299363, 299360, 299357, 299354?\n\"Answer: -3*y + 299366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -919641122 and 11.\nAnswer: -919641111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 3*x - 115, -11*f - 45*x - 41*x + 338 = -128*x + 43*x for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3\/5))\/(a**(8\/9)\/a)*(a\/a**(-9))\/(a*a\/((a*a**(4\/3)*a*a*a)\/a)))**(-31) assuming a is positive.\nAnswer: a**(-17918\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2258 + -8360. Let b = n + 6103.79892. Let v = 1.8 - b. Round v to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-430) - (1 - 1). Let r = d - -12\/43. Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11c3 - 23b2?\nAnswer: -3595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*j = 11061 - 3441 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342016340 to the power of 1\/3, to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/(7\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59 or 52?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*(10 - 4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, -545, -822, -1099, -1376?\nAnswer: -1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) -4 (c) 0 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339791 is divided by 84?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 p when four letters picked without replacement from qpnggnngfnpfgqunnqf?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(1904\/(-153))*-7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52137 (base 9) to base 12.\nAnswer: 17a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 152649 or 152648?\nAnswer: 152649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 + 259. Suppose 2*c + c - 6 = 0, -3*z = 5*c - j. What is the highest common factor of z and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1737.9952 + -1741. Let j = y + 3. Round j to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 367 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - j = 4*j - 3, -2*p = 4*j. Let k = p + 0. Let m = 11\/12 + -1\/4. What is the nearest to m in k, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 0.3, 0.5, 1.\nAnswer: -8, -3, 0.3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23738 by -2158.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 7*h - 2*h)*(-4*h - 2 + 16*h - 10*h + (-2 + 0 + 3)*(0*h - 3*h + 4*h) - 5*h + 5*h + 2*h).\nAnswer: -45*h**2 + 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 2*o - 1690 = 0. Calculate the remainder when 44 is divided by (-1)\/(-1*(25\/o)\/5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -359782 - 0?\nAnswer: -359782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*z = 26 + 2, -12 = -w + 2*z. What is the remainder when w is divided by (-1 - 1) + 33\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -112124\nAnswer: -1\/28031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0692 - -0.1692. What is the closest to 2 in 0, -0.3, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -597*v**3 - v**2 - 15*v - 15. Does 15 divide o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t**2 + t)*(t - 2*t + 3*t) - 5*t**3 - 9*t**2 + 2 - 4*t**3 + 11*t**2.\nAnswer: -11*t**3 + 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 277749 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11429*n**2 + 11*n - 198060 wrt n.\nAnswer: 22858*n + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 26\/12 - (-184)\/48. Let v be (6\/l)\/((-37)\/(-222)). Solve v*s + 10 = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -23. Let j = -0.184 - 9.116. Let v = p + j. Sort 0, 9, v.\nAnswer: v, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*q**3*y - 51982*q**3 + 12*y**4 + y wrt y.\nAnswer: -46*q**3 + 48*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.759734 milligrams in kilograms?\nAnswer: 0.000008759734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b + 3?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*f - 7, f = 5*y - 4*f + 15. Let o be (3\/(-3))\/((-2)\/52). Let u = 24 - o. Is u less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -17 + 5 + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:33 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 26572.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145236 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 329794 and 15938.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r - w, -5*r + 8*w = 3*w. Suppose r = 2*v + 2. Calculate the remainder when v\/2 + 166\/4 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*o = -166, -3*w = 5*o + 672 - 173. Let l = 168 + w. Let l - 4\/5*q**2 - 8\/5*q**3 - 4\/5*q**4 + 0*q = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:15 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 1:46 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -119*f - 178. Let l be x(-32). Calculate the common denominator of 61\/88 and (-12)\/(-36) - 595\/l.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 119*k**2 + 493*k + 98. Determine b(-123).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*g**3 + g**2*y + 2565*g**2 + 3*y - 35156 wrt g?\nAnswer: -30*g**2 + 2*g*y + 5130*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199830, -399661, -599494, -799329, -999166?\nAnswer: -1199005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 10:54 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -122. Suppose -83*t + 18 = -82*t. What is the remainder when b is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 15*w. Suppose 0 = 4*j + j. Suppose 2*g + j*g = 4. Let k(i) = -4 + 3 + 1 - g*i. Determine h(k(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 + 76 = 20*k + 136 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 4. Let f(k) = -2*k + 1. Let h(s) = s - 1. Let m(o) = -3*f(o) - 5*h(o). Determine 4*b(a) - 9*m(a).\nAnswer: -5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 35. Let w be (s + 6)*1\/(-2). Let x be 0 + 9 + w + -1. Solve 0*k = k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2613463*t**4 + 855367*t.\nAnswer: -31361556*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -432213*f**3 + 3143*f**2 + 33 wrt f?\nAnswer: -2593278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q + 5*q - 8*q to m + s*q and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3568468713?\nAnswer: 3, 1189489571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 2. Put 3, r, 2, 0 in ascending order.\nAnswer: r, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*o - 4*l - 7, 3*o - 46 = 4*l. What is the least common multiple of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.3 plus 77.475775388?\nAnswer: 26.175775388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90.73 + -90.63. Suppose 4*w = 14 - 34. What is the second smallest value in 1\/2, w, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 5*c - 1 - 18 - 18 to o*c + f and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/((-1)\/3))\/1. Let m be (0*(-1)\/z)\/2. Suppose -k + 4 = m, -c + 10 = 2*k - 0. Solve -c = -3*s - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 7615*y - 7628*y + 15225*y.\nAnswer: -18*y + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/17 - 17377640*m\/17 + 37747796496200\/17.\nAnswer: 2*(m - 4344410)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1983*k**2 + 3*k**3 - 26 - 1983*k**2.\nAnswer: 3*k**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 142159913 to the power of 1\/3, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-36)\/(7488\/1612).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2826 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8060?\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(1 + -3)\/2. Suppose -3*a - 243 = -5*t, -98 = -2*t - b*t + 2*a. Let y = -5144 - -5150. Calculate the greatest common divisor of y and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*x + 1)*(-28*x**2 - 7*x**3 + 28*x**2).\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15397 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*y - w, -y - 2 = -w + 1. Let n(o) = 2*o - y*o**2 - 2*o. Let d(l) = -5*l**2 - 4. Let b(a) = a**2 + 1. Let t(u) = -4*b(u) - d(u). What is n(t(m))?\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 6\/5911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10669637.355 + 564\nAnswer: 10670201.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 322 - 320 + 25*m + 43*m in the form d*m + v and give d.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856675534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.05 + 1. Let j = -965 + 2891\/3. Let y = j + -1\/6. What is the second biggest value in i, 4, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/54*-2)\/2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 2c4c?\nAnswer: -2c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from xirzzizzd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/54*-2*(-4)\/(32\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 224 = 80. What is the remainder when 85 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -24 + (-2 - (0 - 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (16 - (-7)\/(-1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 259 (b) -0.1 (c) 3 (d) 0 (e) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 381.4 + -337. Let k = d + -44.6. Put k, -2\/13, -1\/2, 0.4 in decreasing order.\nAnswer: 0.4, -2\/13, k, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - (2 - 2) - -52?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04456? (a) 112 (b) -9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 15*w + 6. What is g(-5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawjiuaajjcaajjj. What is prob of picking 1 w, 1 u, and 1 j?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297704*l - 16008 = -298256*l for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -706, -2, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkbksnknn. What is prob of sequence ns?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(3\/12). Put q, 3, -6 in descending order.\nAnswer: 3, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/19)*(q\/((q\/(q\/(q\/(q**17\/q*q))))\/q))\/q assuming q is positive.\nAnswer: q**(325\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, -6, 4, 228, -5 in descending order.\nAnswer: 228, 4, -5, -6, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2110940 and 2470.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.332 rounded to 2 decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(150*j - 54 + 54 - 2*j + j - j + (-1 + 1 - 2*j)*(-1 - 3 + 5))*(-2 + 3 - 2) as r*j + t and give r.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 12, 2*t = 4*s + 48 + 18. Find the common denominator of 3\/32 and (-230)\/14*21\/s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 35190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6219, 6216, 6213?\nAnswer: 6210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*q - 40 = 0, 0*q - 2*q = 8. Factor -23*n**4 + 7*n**4 + 11*n**z.\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459*y**3 - 2989*y**2 + 101*y**3 - 2880*y + 5*y**5 - 115*y**4 + 3169*y**2 = 0. Calculate y.\nAnswer: -2, 0, 3, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 42 + 29 - 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 3*v + 3*v + (-5*v + 5 - 5)*(-2 - 1 + 2) - 12 + 3*v + 12 + (3*v - v - v)*(3 - 1 - 4) to i + p*v and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*k**5 + 3*k - 8*k**3 + k + 46*k**5.\nAnswer: 4*k*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1552 is divided by 107?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*v - 125*v - 10*v + 18*v + v**2 to k + d*v + q*v**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 196*n**4 - 585*n**4 - 195*n**4 + (-3 - 2 + 6)*(-2*n + 2*n - 3*n**4).\nAnswer: -587*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3\/23 - 62*y**2\/23 - 190*y\/23 + 5054\/23 = 0.\nAnswer: -19, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a\/(a*a\/(a*a**(2\/19))*a)*a)\/a)\/((a*a**5)\/a*a))\/(a**(1\/2))**(-33))**(-9))**(-27) assuming a is positive.\nAnswer: a**(88695\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Suppose 3*t = -5*a + 24, 2*a - w - 28 = -4*t. Solve 5*u + 3 = t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((19\/(-19))\/3)\/(2\/(-152226))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 14*d - 20 = 0. Let k(p) = 5*p**3 - d*p - 6*p**2 - 2*p**3 - 4*p**3 - 1. Calculate k(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42193 (base 10) to base 9.\nAnswer: -63781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3288493516 and 19096?\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 0*z**2 + 0*z**2 - z**2. Let h = 1 - -2. Let i(a) = 3*a + 3*a - h*a - 4*a. Determine r(i(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 502595 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4186619.\nAnswer: 47, 281, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 7*k**2 - 9*k + 10. Let c be o(8). Find the third derivative of 4*x**4 + 3*x**2 + 2*x**c - 3*x**4 - 5*x**4 wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (0 - -15 - 2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16837, 16841, 16847, 16855?\n\"Answer: f**2 + f + 16835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48081204229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 322383841 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**6\/3 + 9*p**3\/2 + 16*p. What is the second derivative of w(h) wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7098 by 507.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 544 and 127772.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 52 = 31. Suppose u = 5*c - 39. Solve 2*h - 5*h = -c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95585324.1 minus 1802?\nAnswer: 95583522.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.786165711 rounded to four decimal places?\nAnswer: 4.7862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 - 5*l + 1. Calculate the smallest common multiple of f(2) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 0)\/(9\/6). Suppose -k*f = j - 55 - 14, -2*j = -2*f + 22. What is the lowest common multiple of 4 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q - 6 = 0. Let a = 1 + -1. Let k be 14\/(-2) - (3 - 20\/4). Put k, a, q in increasing order.\nAnswer: k, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73 - 9*c**2 + 70 - 168 + 477*c**5 wrt c.\nAnswer: 28620*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a9 (base 15) to base 7\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5373 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**8\/1680 + m**7\/350 - m**6\/200 + m**5\/300 + 7*m**2. Factor i(b).\nAnswer: -b**2*(b - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -66 - 131\/2*m + 1\/2*m**2 = 0?\nAnswer: -1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25216812 rounded to the nearest one hundred thousand?\nAnswer: 25200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11973 = -s - 11972 + 23910 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29565 by 9855.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12330012101 + -10?\nAnswer: 12330012031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25 - -3.25. Which is the biggest value? (a) 0.2 (b) 2\/13 (c) s (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2785, 11096, 24947, 44338?\nAnswer: 69269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, a: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2886, 3963, 5040, 6117, 7194?\n\"Answer: 1077*c + 1809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -16. Which is bigger: 5 or n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2580110610 by -6.\nAnswer: -430018435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86251 divided by -20.\nAnswer: 86251\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 912*i**2 + 41594*i + 17363. What is r(248)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010111 - -100?\nAnswer: 1101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 698202 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 14.3, 24, -0.5, 2\/63, -7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2143*z**3 + 5 - 4327*z**3 + 6 + 2119*z**3 - 11.\nAnswer: -65*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhrggigzrrrrgrrrz. Give prob of sequence zi.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + (29 - 4) - (0 + 3 + 4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and 296 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 155 = 32*a + 35, 0 = 2*w + 6*a - 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 0, -8*d + 0 + 10 = -2*z + 4*d - 8*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -242*n**4 - 23*n**3 - 14*n**2 + 2*n + 46517603 wrt n.\nAnswer: -968*n**3 - 69*n**2 - 28*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 274*c - 12375. Calculate d(45).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 15, 3*i - 4*i - i + 60*r - 64*r = 38 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 8) to base 4\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1289, 10287, 34701, 82235, 160593, 277479, 440597?\nAnswer: 657651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaff when four letters picked without replacement from {a: 3, f: 8}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -13*j + 22. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 + -1 + 2 + 5 + -2. Differentiate 27 + 110 - 101*g**2 + w with respect to g.\nAnswer: -202*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 13*f + 8 = 11*f, 2*f = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h - 36. Let x be ((-1)\/2)\/(1\/(-10)). Let f(z) = z**2 - z - 8. What is the least common multiple of f(x) and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(231)\/(sqrt(7) + sqrt(112)))\/(sqrt(192)*1)*1.\nAnswer: -sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5391 + -0.0391. Which is the closest to 2? (a) -5 (b) -0.15 (c) n (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 22*q = -17*q - 60, 0 = -2*x - 2*q + 36 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -812\nAnswer: -2436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**2 + 4*w**3 + 2 - w + 4*w**2 - w - 3*w**3. Calculate x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Suppose -7 = -a*n + 86. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 - 2*w + 4. Let l be y(-4). Let x be 5\/(5\/2) - -118. Suppose 5*z - l = x. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-12)\/(-18) - (-69)\/(-9). Let v(w) = -w + 10. Let o(g) = 2*g - 31. Let c(m) = x*v(m) - 2*o(m). Give c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 25*b + 12. Let r be d(5). Suppose 4*x - r = 103. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -103285*g + 189871?\nAnswer: -103285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -16*q + 101. Suppose 5 = -3*h + 4*p + 13, -4*p - 28 = 2*h. Let l be q\/2*h - 1. Solve -l*x = 4*z + 13, x = -z - x - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -679, -2431, -5481, -9829?\n\"Answer: -649*x**2 + 195*x - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = -3*t, -3*t - 6 = -2*t - 2*z. Suppose -t*x + 8 = -8. Solve 0 = -5*d + r - x, -15 = -4*r + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031772372 to 7 dps.\nAnswer: 0.0003177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201665 = -211*j + 200399 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 1, 71 in increasing order.\nAnswer: -13, 1, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -35.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/4 + 1876995*k**2\/2 + 37539991*k\/4 + 8446500 = 0 for k.\nAnswer: -9, -1, 3754000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/6*(-162)\/(-108). Let n = 126 - 75. Suppose 5*a + 266 = g*c + n, 5*a = c - 59. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -2130752677?\nAnswer: 2130752682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 7. Let j be a\/7 + 406 + 1. Suppose 1232 = 3*o - 3*y - 2*y, -y = o - j. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**4\/2 + 8*q**3\/3 - q**2\/2 + 6*q + 5. Let b be k(6). Let c = b + 202. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 8*t + 8 = 0. Suppose -15 = 2*u + 5*y - t, 10 = -4*u - y. What are the prime factors of 112 - 1 - (u - -6)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -2011?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -21 + 14 + -10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -32.612.\nAnswer: 130.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) -77.36881 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 503267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 9*q - 17. Let r be f(-11). Suppose -4*o + 7 = -r. Suppose 281997 = j - o*j + 3*c, -3*j = 2*c + 423002. What is j rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1 = -3*w, w = 2*k + 6 - 7. Find t such that -18*t**4 - t**5 + 9*t**4 + 2*t**k + t**3 + 7*t**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1395 + -1374. Calculate the remainder when 146 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0*z**3 - 1\/168*z**7 + 1\/48*z**4 - 4*z - 1\/120*z**6 + 1\/80*z**5 + 0 + 0*z**2. Solve f(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 1702 - 1702 + 241*u**2 - 1055*u**2 in the form j + b*u + a*u**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 230553 in increasing order.\nAnswer: -4, -1, 230553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.56, -1\/3, -2, -231 in ascending order.\nAnswer: -231, -2, -1\/3, 0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 3*o**5\/20 + 2*o**3 + 10*o. What is the second derivative of y(l) wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 37*n - 6. Let r be s(7). Suppose -3*q - 243 = -4*b, -5*q = -b - 3*b + r. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2232 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3 - 17700*i**2 + 606424*i = 0.\nAnswer: -4459, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 4*l + 4*l + 13. Is k(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from jjsjniqiiiniinjis?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 - 101. Suppose y - o*t + 5 = 0, -8 - 7 = y - 4*t. Solve -y*i + 0*i + 3 = -2*n, -2*n - 4*i = -6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3250 and 2111603?\nAnswer: 527900750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*i = 6046 + 794 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-138)\/230 - (2 - 96\/10). Let x be (y\/(-1))\/(-7) - -4. Solve n + x = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -284, -567, -850, -1133?\n\"Answer: -283*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/5 - 3594*b**2 + 3608556*b\/5 - 178231032\/5 = 0 for b.\nAnswer: -6186, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*s - 9, z - 6*z - s + 19 = 0. Suppose 5*p - 3*j - 28 + 11 = 0, 9 = 3*p - z*j. Solve -4*i = -p - 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13*k*k**(-6)*k)**7\/(k\/(k*(k**3*k)\/k)*k**(1\/5)*k**6\/k**(-2\/27)) assuming k is positive.\nAnswer: k**(8063\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.4, 2, -4 in ascending order.\nAnswer: -4, -0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1697 (base 15) in base 9?\nAnswer: -6607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = g - 4*g. Let f = 0 - g. Suppose 3*q + 34 = s, -4*s + f*q = -0*s - 96. Solve 5*z - 6 = s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*b, -8 = 5*b + 7. Let r(u) = -w*u + 2*u - 2*u. Let o(d) be the third derivative of d**4\/24 - 9*d**2 - d. What is r(o(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62*q**2 - 9*q**3 - 62*q**2)*((3 - 6 + 1)*(-6*q + 12*q - 24*q) - 2 + 2 - q) to n*q**3 + o*q**2 + v + y*q**4 + h*q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1728*7\nAnswer: 12096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 2, a: 1, n: 1, r: 1, g: 2}. Give prob of picking 2 g and 1 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741714969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 3600705?\nAnswer: 25204935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -17, 2 in descending order.\nAnswer: 4, 2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t + 3. Let m be k(-1). Is 7\/((-28)\/m) - -226 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 x when four letters picked without replacement from ixikxkikkkx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(8 + (-228)\/28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, 4, 40, 116, 244, 436, 704?\n\"Answer: 2*b**3 + 2*b**2 - 12*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/6)*d**(2\/11)*(d\/(d*d\/(d*d**0)))**(1\/6) assuming d is positive.\nAnswer: d**(1\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 4, w: 7, j: 4, d: 1, u: 2}. Give prob of sequence wj.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -398*c**2 - c + 2 + 8*c + 400*c**2 + 0*c as s*c + g*c**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 3*a + 9342. Let u = -321 + a. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 60. Let j be (6 + s)\/(-1 + 69). Suppose -6*i + 12 - 6 = 0. Which is smaller: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 4*s + 16, -2*j + 8235*s + 10 = 8231*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -13*s + 9*s - 74, 7*z = 3*s + 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85071, 170140, 255209?\n\"Answer: 85069*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1733, 3414, 5075, 6710, 8313?\n\"Answer: -r**3 - 4*r**2 + 1700*r + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -107327*s - 11039. Is l(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262242 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*s**5 - 218*s**4 - 48*s**3.\nAnswer: -s**3*(s + 24)*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.895 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*u**3 - 4*c**3 + 45*c**2*u**3 + 3*c**2*u**2 + 1592*c*u**2 + 250*u**3 wrt u.\nAnswer: -12*c**3 + 270*c**2 + 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 + 30*b - 41. Let n(r) = -2*r**2 + 20*r - 27. Let a(i) = 8*n(i) - 5*w(i). Let x be a(8). Suppose -5*k + 5 = -x. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.034637 litres?\nAnswer: 5034.637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -2*f**4\/3 - 2*f**3\/3 + 2*f**2 - 5*f. Find w such that n(w) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28462, 28453, 28430, 28387, 28318, 28217?\nAnswer: 28078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*f**2*z**2 - 780*f**2*z + 4*f*z - 181*z**2 wrt z?\nAnswer: 20*f**2 - 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 times 2438?\nAnswer: -438840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 2:51 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 4*b + 4. Let x be z(-3). Suppose x = -p + 3*p. Solve -3*r + 7 = -p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224208, 896726, 2017550, 3586680, 5604116?\nAnswer: 8069858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -225 in descending order.\nAnswer: -1, -4, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 16*h - 2. Suppose 0 = 2*i + 3*t + 41, -2*i + 2*t - 31 = 3*t. What is the remainder when 145 is divided by o(i)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740815177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 4*f**2 + 2*f - 4. Let k be j(-2). Suppose -2*o + 6*o = k. Suppose -3*m = -m - 16. Solve -t = o*v + 14, 2*v + 5*t + m = 4*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4655\/702 - -157\/26. Let l = 17\/108 - h. Which is the nearest to -6? (a) 2\/5 (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 times -0.1?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1. Let w(y) = 4*y + 3. Let s(u) = -u. Let a(v) = -10*s(v) - 2*w(v). Let q = -15 + 4. Let b = q + 17. Calculate b*n(z) + a(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1101100010110000111 (base 2) to base 12\nAnswer: -19499b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - ((-88)\/8 - -5). Find the common denominator of (-2)\/((-4158)\/6985) + -1*w and -44\/3.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1586976, 3174296, 4761616, 6348936?\nAnswer: 7936256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -10*v - 128. Let d be (-2 + v\/(-4))*15\/10. Solve d*i + i = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m - s + 1, 4*m + 3*s + 1 = 0. Let h = 0.192 + -50.692. Let l = 50 + h. What is the nearest to 0.1 in l, m, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2012 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let k(q) = q. Let i(t) = 26*t + 1. Let a(f) = -i(f) - k(f). What is j(a(y))?\nAnswer: 54*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, u: 4, d: 1, g: 1, v: 1, h: 3}. Give prob of picking 1 g, 2 u, and 1 h.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = 2*f + 58, -i + 1 = 0. What is the hundreds digit of 6\/(f\/(-4025)) - (-4 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbbe when four letters picked without replacement from boxoeofbbbo.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2996 and 0.11.\nAnswer: -0.032956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 3*i - 5*i)*(3 + 3 - 4) - 58*i - 1186 + 1186.\nAnswer: -56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 7 = -11. Solve -4*r - 2*t = r - 25, -n*t = -r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14596, 116823, 394300, 934651, 1825500, 3154471?\n\"Answer: 14604*n**3 + n**2 - 4*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -933*z - 29. Let f(r) = 934*r + 19. What is -3*f(u) - 2*l(u)?\nAnswer: -936*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574275 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/22 and -53\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -354112\/9 - -39346. Which is the third biggest value? (a) -1\/5 (b) -1\/2541 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0325568 days to minutes.\nAnswer: 46.881792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 31 - ((14 - 27) + 5 - -1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10582214?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + o - 2. Let t(k) = 3*k**2 + k - 4. Let r = -7 + 10. Let w = 2 + r. Let x(j) = w*c(j) - 2*t(j). Factor x(l).\nAnswer: -(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b - 4. Let g be (8\/10)\/((-8)\/(-20)). Suppose 0 = b*r + g*r. Put -5, r, -3 in increasing order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 0.3, -0.5, -1, -10\/21, 2\/3.\nAnswer: -1, -0.5, -10\/21, 0.3, 2\/3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -547 (base 8) to base 13\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (80990\/(-78) + -27)*(-63)\/6 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24134 + -24038. Calculate the remainder when 13531 is divided by b.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00083332 rounded to 5 decimal places?\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 126 - -848?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-15)\/h)\/h)*h*h\/(h\/h**(-15)))\/(h**12)**(6\/5) assuming h is positive.\nAnswer: h**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 11*x - 1. Let j be f(-11). Let u be 5\/j*6\/(-15). Suppose -u*w - 3*i - 9 = 0, 3*w + 15 = -6*i + i. Solve w = -g + 1 + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h**2 + 5*h. Let t(d) = 5*d. Let a(j) = -t(j) + v(j). Let w(b) = 30*b**2 - 2. Give w(a(g)).\nAnswer: 3630*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 20 = f. Let k(n) be the second derivative of -2*n**3\/3 - 16*n**2 + n - 33. Let i be k(f). Solve -3*b + 7*b = i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-67)\/268 - (-45)\/(-12). What is the second smallest value in -0.4, -11\/15, s, 0.2?\nAnswer: -11\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -3\/8 (c) 3 (d) -7683584\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*x + 2*x - 22, -2*v - 3*x = -19. Suppose 3*z = q + 244, -4*z - v*q + 93 = -3*z. Round z to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -856 * 12.9.\nAnswer: -11042.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, -0.07 in ascending order.\nAnswer: -0.2, -0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 4, 21, 2897 in decreasing order.\nAnswer: 2897, 21, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + r - 1. Let h(l) = -4*l**2 - 3*l - 9. Let c(a) = 3*f(a) - h(a). Let w(s) = -7*s**2 - 49*s - 49. Calculate 49*c(v) + 6*w(v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.85 + 29.75. Let n = -45.6 + g. Which is the third smallest value? (a) 3 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 469342 or 0.1?\nAnswer: 469342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 156 - 36 = -34*b. What is the remainder when 96 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/105)\/(7*316\/(-4977)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.33 + 4.82. Let f = -6 + s. Let h = f - -0.05. Which is smaller: -2\/11 or h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8029*m**2 - 7851*m.\nAnswer: 16058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25791777 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 5*g**5\/2 + 220*g**4\/3 - 179*g**3\/3 + 18*g**2 + 419*g. Solve s(r) = 0 for r.\nAnswer: -18, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times -14222\nAnswer: -1137.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(108) + -4)*4.\nAnswer: -28 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.1 - 11. Let s = 87.7 + -87. Let l = j + s. Are l and 0.04 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60.26 - -60.38. Which is the third smallest value? (a) 0.1 (b) -0.53 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -248 - -370. Let q = j + -122.91. Let k = 0.09 - q. Is -2 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204246159 divided by -87.\nAnswer: 2347657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-11 - 1*(-454697 + 23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/822732 and 89\/120990?\nAnswer: 4113660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 + 3 + (-2 + -5 - (-6 + -5))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z - 16 = 0. Sort -4, 1, z in ascending order.\nAnswer: -4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941254.83 seconds to days.\nAnswer: 10.894153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7*o + 1)*((-4*o + 26*o - 10*o)*(-1 + 1 + 2*o) - 2*o**2 + 4*o**2 - 6*o**2)*(-o**2 - o + o).\nAnswer: 140*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6)*(-18 - -18). Let s be (8\/33*-3)\/(-2 + c). Factor 0 + 2\/11*i**4 + 0*i - s*i**2 + 2\/11*i**3.\nAnswer: 2*i**2*(i - 1)*(i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-72))\/((-6315)\/(-333) - 19).\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2300 + -2066. What is the remainder when v is divided by 123?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/15 and 67\/429?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3834351m in millimeters?\nAnswer: 383.4351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -0.3 (c) -3 (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 + -4 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from jprrpa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 divided by 186?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8101.6058902 and 0.5?\nAnswer: 8101.1058902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 793*j = 826*j - 963633. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9788*m**2 - m + 477 wrt m.\nAnswer: -19576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2745 - -2741. Let y be ((-1)\/3)\/(6\/(-108)*-111). Which is the third smallest value? (a) y (b) o (c) 5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 14. Calculate the least common multiple of q and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1283.3 + 1282. What is the nearest to 7 in i, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 1. Let h be i(-1). Let g = h - 4. Suppose -2*a + 4*m + 2 = 0, -g*m + 24 = 2*a + 4. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.996925 hours in milliseconds?\nAnswer: 7188930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.62081 litres to millilitres.\nAnswer: 620.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j + 1\/70*j**7 - 8*j**2 - 31\/3*j**3 - 37\/30*j**5 - 6 + 0*j**4 + 0*j**6. Differentiate v(t) with respect to t.\nAnswer: 12*t**3 - 148*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, d: 2, j: 1, f: 1, p: 2}. What is prob of sequence fy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/78 and -101\/8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.4366414 rounded to 2 decimal places?\nAnswer: 11.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let f be 3\/4 - (-1 + 13790\/40). Let a(z) = -88*z - 5. Let n(t) = -6027*t - 343. Let r(k) = f*a(k) + 5*n(k). Determine o(r(j)).\nAnswer: 98*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 18 = i, 13*q + 30*i - 34*i = 51 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -466*35.2.\nAnswer: -16403.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2418\/7 + 12118\/35. Let -4\/5 + 4\/5*p**2 + 4\/5*p**3 - w*p = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30180 (base 9) to base 14.\nAnswer: 732c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 310\/(-186)*(-12)\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01203 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1325608 + 301*d - 1325608.\nAnswer: 301*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 5:11 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -3)*(-4)\/(-36). Let s = -14\/29 - -240\/377. Put y, 4\/3, s in descending order.\nAnswer: 4\/3, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h - 12*h - 203334*h**3 + 203167*h**3.\nAnswer: -167*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h - 9. Let q = 2181 + -2179. Give i(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*n**3\/2 + 1620059*n**2\/4 - 982897*n\/4 - 32403\/2 = 0. Calculate n.\nAnswer: -10801, -3\/50, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.047 + -15.953. Let r = p - -16.4. Put r, 5, -2\/17 in decreasing order.\nAnswer: 5, r, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.5 + -22. Let b = 12 - x. Let i = b + 2.5086. What is i rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27602128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*j + 11*j**2 - 7*j - 2*j + 5*j wrt j.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 181. Suppose 5*u - j = -0*u. What is the remainder when 80 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*r**2 - 39*r**2 - 43*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -240*w**2 + 5*w - 2. Let u(a) = -120*a**2 + 3*a - 1. Let f(g) = -5*u(g) + 3*v(g). Let j be f(-1). Let n = -49 - j. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971234 is divided by 485602?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 5*v**2 + v**2)*(-2*v - 1 + 1) - 2897*v**2 - 122*v**3 + 77*v**3 + 2897*v**2 - 110*v**3.\nAnswer: -145*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, 57, 125, 249, 447, 737, 1137?\n\"Answer: 3*z**3 + z**2 + 6*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6292) - (sqrt(6292) + (sqrt(6292) - (sqrt(6292) - 1*sqrt(6292)))*-3)) + sqrt(6292))\/((sqrt(4) - (sqrt(4) + -5*sqrt(64)))*-2).\nAnswer: -11*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17532*y**4 + 85*y**3 + 78559732.\nAnswer: -70128*y**3 + 255*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 758b (base 12) in base 16?\nAnswer: 327b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 240286801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*t - 2*t + 7 = 0, -t - 8 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13355 + -7?\nAnswer: -13363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:24 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and 0.04?\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 14*n - 69. Give u(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 + 2)*(-4 + 4 - q) - q - 11*q + 4*q)*(-1 - 3 + 7).\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14560 + 14608. Let j be (-4)\/(-10) - 2636\/(-10). What is the highest common divisor of j and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7465*f**2 + 4904*f**2 + 5319*f**2 in the form a + j*f**2 + o*f and give j.\nAnswer: 17688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131401155?\nAnswer: 3, 5, 193, 45389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 + 9550976*w\/3 - 11402642819072\/3.\nAnswer: -2*(w - 2387744)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6818, 13498, 20180, 26864, 33550?\nAnswer: 40238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67129547 + 0.1258.\nAnswer: 67129547.1258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 + x**2 - x**2 - 3.\nAnswer: -9*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v = 12. Suppose v = 3*o - 2*o. Let s = 26 - 11. What is the greatest common divisor of s and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 5*x - 65, -5*j - 308 = -4*x - 299 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30213205091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3222*b + 7446*b + 10114*b - 1474*b.\nAnswer: 19308*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 35 = 2*g, -5*g + 35 = -g + 3*y. Let v(t) = -t**2 + 5*t + 4. What is v(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - 1*sqrt(84)*6)\/(sqrt(36)\/sqrt(48)) - (5 + (sqrt(252) + -3)**2*-6).\nAnswer: -236*sqrt(7) + 1561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 606, 553, -156, -1521, -3542, -6219, -9552?\n\"Answer: -328*i**2 + 931*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47112 and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -37*q - 20. Let o be 1\/(-3 + q + (-84)\/(-27)). Solve o = 3*r - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**4\/4 + f**2\/2 + 58. Determine s so that i(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b + 12*b**2 + 18*b + 12*b - 14*b**2.\nAnswer: -2*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00048345403 to 6 decimal places.\nAnswer: -0.000483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 42. Let v be 2 + (-4 - 6\/(-4)). Sort v, p, 1\/3, 0 in descending order.\nAnswer: 1\/3, 0, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -n - 2. Let j(x) = x**3 - 5*x**2 + x - 6. Let f be j(n). Calculate the greatest common factor of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*w + 4*x - 19, -x - 8 = -4*w. Solve 2*s = 3*p - 5, w*p - 9 - 2 = -s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47261 + -0.3068.\nAnswer: -47261.3068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/30 + 13*x**4\/24 - x**3\/2 + 67*x**2. Calculate m(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {i: 1, t: 3, h: 1, e: 2, q: 5, a: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = 42. Suppose 12*n = 7*n + c. Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.87207 rounded to 0 dps?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**6\/1620 + a**4\/108 - a**3\/2 + 2*a. Let g(n) be the second derivative of q(n). Factor g(f).\nAnswer: -2*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 12. Suppose 15*f + a = 11*f - 16, 3*f + 31 = 4*a. Give q(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3401\/4 - -851. Factor -3\/4*o + 1\/2*o**2 + 1\/4*o**5 - f*o**4 + 1\/4 + 1\/2*o**3.\nAnswer: (o - 1)**4*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4184.462 - -4181. What is o rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:13 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 29*b + 171. Let f be m(34). Let g(y) = -4*y**2 + 2*y. Let i(p) = p**2. Determine f*g(r) + 6*i(r).\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4)**(-41)\/(y**25)**(2\/47) assuming y is positive.\nAnswer: y**(-7758\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11079\/(-27) - (-2)\/(-3). Calculate the common denominator of s\/(-54) - (-4)\/(-6) and -107\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/11 + 51\/220. Let n(z) be the third derivative of 0*z + 0 - j*z**5 - 4*z**2 - 9\/2*z**3 + 3\/4*z**4. What is x in n(x) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16335 - 3?\nAnswer: 16332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1524 - 1576. Which is smaller: -48 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 4:18 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 + -973?\nAnswer: -951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -289 - -287. Put 2, 0, -5, x in decreasing order.\nAnswer: 2, 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s + 73 - 101 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/269? (a) -4 (b) -0.93 (c) 3\/7 (d) -2\/13 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -3*b**5\/100 - b**4\/15 + b**3\/30 + b**2\/5 + 5*b + 11. Let f(j) be the first derivative of o(j). Factor f(a).\nAnswer: -(a + 1)**2*(3*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1372417*d - 22936931 with respect to d.\nAnswer: -1372417","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 17*q**2 - 52*q - 502. Let d be m(-15). Let o(i) = -i**3 + i**2 + 5*i + 6. Let y be o(5). Let l = y - d. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -18. Let s be ((-24)\/a)\/(8\/28). Let d be ((-1)\/(-2))\/(2\/s). Solve l + 1 = d*q, -5*q + 3 = 3*l - 6*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 4*r**2 - 7*r**2)*(-r**2 + 3*r**2 - 4*r**2) - r**3 - 2*r**4 + r**3.\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/30 (b) 0.4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10769 and 66792.\nAnswer: 5944488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49 + -103?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 + 1826*t\/5 + 833569\/5.\nAnswer: (t + 913)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1740*c + 15641. What is l(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 35. Suppose g = 15*r - 12*r + 27. Is (-6024)\/(-18) + (-3)\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/4 + 8*r**3\/3 + 6*r**2 + 3*r + 1. Let i be a(-6). Suppose -i*n + 148 = -92. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0205426435 rounded to 5 dps?\nAnswer: -0.02054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6260286 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -656 - -1455. List the prime factors of r.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdd when three letters picked without replacement from {d: 2, q: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 5*r - 16, 22 = 3*c - 3*r - 2. Let w = c + -1. Solve -9 = -p - 4*u + w, u = 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 - (-4 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + 38. Let c = t + -37. Let y(g) = -301*g - 120. Calculate the remainder when y(-1) is divided by c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37020912 divided by 4627614\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2342 = -5*y, -67*y + 66*y = -2*j - 463. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46979458511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggxgxgxgggggggagxx. What is prob of sequence xgx?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*x**3 - 177?\nAnswer: -102*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5481 is divided by 86.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {w: 2, q: 4, e: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, -0.08, -2\/5, 15\/8, 11.9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-1)\/7)\/(35\/(-20)))\/(26\/91). Let a = -6772\/495 + 150\/11. Put a, 2, 5, h in decreasing order.\nAnswer: 5, 2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 10112002201?\nAnswer: 10112002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 3*f - 3*f)*(5 + 0 - 2)*(6*f**3 + 5*f**3 - 9*f**3) to the form o + n*f**4 + z*f**3 + i*f**2 + k*f and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/17)*y))\/y*y*((y**4*y)\/y)\/y*y**(-3\/7)\/y**(4\/5)*(y**(-1\/4)*y**7)\/(y**(-1)\/y*y**(-7)) assuming y is positive.\nAnswer: y**(41981\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2. Let a(x) be the second derivative of -x**5\/3 - 23*x**2\/2 - 4*x + 15. Let w(h) be the first derivative of a(h). Calculate w(y(s)).\nAnswer: -320*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304774426.\nAnswer: 2, 47, 13880579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m + 33*m - 82*m + 16*m + 21*m.\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/2 - 12*t**2 - t\/2 + 12 = 0.\nAnswer: -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*i - 638*i = -206 - 195 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**3 + 7*u**2 - 6*u + 1. Let q(z) = 6*z**3 + 6*z**2 - 5*z + 1. Let t(p) = 5*k(p) - 6*q(p). Let v be t(-2). Suppose 3 = g - 0. Is g <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1512\/(-810)*100\/35)\/(4\/30).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -250 + 250. Sort 0.17, -0.5, -4\/7, l in decreasing order.\nAnswer: 0.17, l, -0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 4, h: 2}. What is prob of sequence chh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 12*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 495.\nAnswer: -1\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2909417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60 + 112?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2958*c**2*t**3 - 764*c**2 + 2*c*t**2 wrt t?\nAnswer: 17748*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 1\/2*f**3 - 2777\/12*f**4 + 29*f**2 + 0 + 0*f. Is a(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9 = a, -2*a - 28 = 3*x + x. Let g(o) = -5*o - 2. List the prime factors of g(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6921 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1654093455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 5*m. Let l be z(4). Let r = -12 + l. Suppose -8*v + v + 35 = r. Calculate the lowest common multiple of 1 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 92*p + 6 - 14 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 + 90*i - 280 = 0.\nAnswer: 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 + 13 = 3*l, -12 = -4*z - 4*l. Suppose -c = 4, x + 0*c - 31 = 3*c. Solve -z*i + x = -j, -2*j + 3 = -2*i + 21 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 28*g**2 + 4*g + 15. Let f(u) = 84*u**2 + 11*u + 40. Give -4*f(q) + 11*i(q).\nAnswer: -28*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21125187 + 58.\nAnswer: -21125129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 665 + -654. What is the greatest common divisor of 275 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4677.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -6548.7.\nAnswer: -3929.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mammammmmmmmmamm. Give prob of picking 2 m and 2 a.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**3 - j**2 + 3*j - 3. Give a(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 861 + -855. Solve 10 = -z*a - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 3 - 3)*(-6*m + 4*m - 2*m)*(-10 + 10 - m) to the form q*m**3 + i*m**2 + r + g*m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.006 + 0.006. Which is the third smallest value? (a) -0.02 (b) 0.3 (c) n (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -1837?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 59. Suppose 136*j - 3*q = 138*j - 151, -4*q = 2*j - 146. Calculate the remainder when j is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 9*h**2 + 3. Let d(i) = 9*i - 3. Let x be d(-2). Let o = 30 + x. Let z be n(o). Round z to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.3053 - 1.3053. Is w greater than or equal to 310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.211\nAnswer: -0.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -25. Suppose 3*q - 3*b - 66 = 0, 4*b - 3*b + 62 = 3*q. Solve x - 20 = -4*t - x, w*x = q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7372 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241 + 135. Let v = -106.00000215 - i. Round v to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62795605 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5301295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 16 = -2*i, 3*u = -3*i + 4*u + 11. Let m be 4\/i + (-60)\/(-9). Let l = m - 9. Which is the nearest to -1\/2? (a) l (b) -2\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 207\/21 + (-12)\/14 + -4. Solve -2*p - p + c*x + 6 = 0, -2*x = p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/14 + (-410)\/(-105) + -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*q - 436 = -2020. Sort -3, -2, q, 5 in increasing order.\nAnswer: -3, -2, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17097 or 17095?\nAnswer: 17097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 16, -80, -19.\nAnswer: -80, -19, 3, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 990522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/3769 - 15097\/26383. What is the closest to 0 in -1, 7, d, -8\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**3 - 12*d**3 + 3*d**3 + 12*d**6 + 9*d**2 wrt d.\nAnswer: 1440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6403 - -8426. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1428 and 111954?\nAnswer: 26645052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 - f**2 + 8*f + 11. Let z(i) = -i**3 - 3*i - 4. Let x(m) = -4*a(m) - 11*z(m). Determine x(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69526931*d**6*l**3 + 72817*d**2*l**3 - 2*d*l**2 - l**3 + l**2 + 2 wrt d?\nAnswer: -8343231720*d**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - 35*m + 16*m + 14*m)*(0 + 0 - 2*m).\nAnswer: -4*m**5 + 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-15\/2)\/w)\/((w*w**(5\/4))\/w))**(-4\/21))**30 assuming w is positive.\nAnswer: w**(390\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(396) + -1 + -5)*1.\nAnswer: -6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*u = -17, -3*r - u - 9 = -4*u. Let f = 326\/7 + -1297\/28. Factor f + 1\/4*x**r - 1\/2*x.\nAnswer: (x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -84835, -169675, -254515, -339355, -424195?\n\"Answer: -84840*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*f - 360 = -726 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -6*1*sqrt(132)) + sqrt(132) - sqrt(132))\/sqrt(12).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1422754, -1422753, -1422752, -1422751?\nAnswer: -1422750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 3*c + 3*c)*(5*c - 4091933 + 8183868 - 126*c**3 - 4091938).\nAnswer: 252*c**5 - 10*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6.94. Let k = i + 0.24. Let b = 4.61 - 5.11. Sort k, 0.1, b.\nAnswer: b, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33, 3\/2, -0.37489, 0.5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2966*v**2. Let q(y) = -22*y. Calculate q(i(s)).\nAnswer: 65252*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/7)\/o*o)\/(o\/o**(-1\/4)))\/(o**0*o\/(o\/(((o\/(o**7\/o))\/o)\/o))))\/(o**5*o\/((o**4*o)\/o)*(o\/o**(-1\/3))**20) assuming o is positive.\nAnswer: o**(-1913\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 2*o - 2*n - 62, -3040 = 3*o + 5*n - 2997 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*v + 67 = 3*p, 0 = -2*p + 2*v + 16. Differentiate q**3 - 15*q**3 - 2 - 7*q**3 - p wrt q.\nAnswer: -63*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -62. Suppose u - 40 = 4*i - l*u, 0 = 5*i - 3*u + 40. Sort i, 1, 3 in descending order.\nAnswer: 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3\/4 - 20566119*u**2\/4 + 61698438*u - 185095395 = 0.\nAnswer: -6855385, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**7\/840 - 5*c**4\/12 - c**3\/6 - 3*c. Let a(k) be the second derivative of y(k). Find the first derivative of a(o) wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 6 + -2 + 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*d - 3 + 2 - 3*d)*(-253 - 2562 - 1066 - 4566) to the form g + u*d and give g.\nAnswer: 8447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4)*i**3)**(13\/5)*(((i**(-8)\/i*i)\/i)\/((i**(-11)\/i)\/i))**(-17) assuming i is positive.\nAnswer: i**(-233\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4.4. Let g = z + 3.4. Let w = 1 - 0. Put g, w, 2\/5 in increasing order.\nAnswer: 2\/5, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39, -1\/8, -5, -99?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1\/2 (b) 3646 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d**3 - 3*d)*(4 - 5 + 3) - 28*d**3 - 33*d**3 + 30*d**3.\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - h + 0)*(-4 - 4 - 2)*(-2 + 7 - h + 4).\nAnswer: -10*h**2 + 90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147785 or -1625642\/11?\nAnswer: -1625642\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/4)\/(-8))\/(4\/64*22\/(-88)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*o - 45 = -50, -4*w + o = -10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*a = 678, 2*d - 678 = -2*a + 7*a. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and -90 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -u. Let n(s) = 15*s**6 + 13*s**2 + 3. Let z(g) = 29*g**6 + 26*g**2 + 5. Let f(h) = u*n(h) - 3*z(h). What is the third derivative of f(b) wrt b?\nAnswer: -1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Let a be ((-12)\/(-8))\/((-1)\/(-2)). What is the closest to -0.1 in 1, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2720 - 0.1\nAnswer: -2720.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57995 (base 13) to base 2.\nAnswer: 100111000001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1659197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - o**2 - 29*o - 10*o as r + z*o**2 + p*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 11, -5, 4, -4 in ascending order.\nAnswer: -5, -4, 4, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -955, -1992, -3089, -4258, -5511?\n\"Answer: -2*k**3 - 18*k**2 - 969*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 541624\/10551 - 2\/3517. Which is greater: 52 or m?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 514472286 to the nearest integer?\nAnswer: 22682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5.1*14.6\nAnswer: 74.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(252) + (-1*(sqrt(252) + 1)**2 - sqrt(252)))*-4 + ((sqrt(70) + (sqrt(70)*1 + sqrt(70) - sqrt(70)))*4)\/((sqrt(490)*-3 - sqrt(490)) + sqrt(490)).\nAnswer: 5032*sqrt(7)\/21 + 5060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*w - 788, -2*q + 400 = -2*w - 0*q. List the prime factors of (w\/(-56))\/(2\/4 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23058 - 5502 = -24*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 36. Suppose u + 3 = j. Let i be u\/36 + (-12)\/54. Sort -4, 2\/7, i, 4\/7 in ascending order.\nAnswer: -4, i, 2\/7, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**7\/840 + g**6\/90 + g**5\/40 + g**4\/4 + 2*g**3\/3 + 33*g**2\/2 - 40. Let y(v) be the third derivative of w(v). Give y(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 28*r = 4*p + 132, 2*r = -p + 54. Solve 33*y = r*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 + 4*j**3 - 4*j**3 + (2 - 7 + 1)*(3 - 3 - 1)*(-2*j**2 + 2*j**2 - j**3).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2706006184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 7. Let d be o(6). Let x be (-5)\/3*(-3)\/d. Solve -t - 2*f = 2, 0*t + t + x*f - 1 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = -15 + 55 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let q = -778960 - -1161429296\/1491. What is the common denominator of q and -19\/8?\nAnswer: 11928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 18*n to the form g*n + o and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + 24\/60. Suppose s + k*s + 5*p = -21, -3*p = -4*s + 31. Let w = -0.007 + -4.993. Which is the nearest to s? (a) w (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t + 3*n - 448 = 30*t, 3*n = 6. Calculate the highest common factor of 65 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1042)\/1563)\/(6\/(-261)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 12*h + 4. Let f be i(-12). Suppose 0 = -12*v + 17*v - 40. Sort v, 5, f, 2 in decreasing order.\nAnswer: v, 5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15967000 rounded to the nearest 100000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 7:02 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 32 - 7 = -5*p, x + 3*p = -15. Let j be (0 + -1 + x)\/((-22)\/66). Solve -j*y = -2*f + 2, -f + y = f - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 + -0.41. Let c = b + 139.47. Let i = 139.00059 - c. Round i to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from {d: 2, g: 1, x: 1, y: 1, f: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 9*m**2 - 4*m - 6. Let x be v(-4). Let j = -18 + 38. Let o be j - (3 - 1) - 0. Calculate the highest common factor of o and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5984 and 22624?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h*h**(1\/15))\/h)*h*h)\/(h*h\/(h*h*h**3\/h*h*h*h*h*h*h)*h))**(4\/11) assuming h is positive.\nAnswer: h**(536\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 + 5 = 3*m, -5*c = m. Let d(g) = m*g - 3*g + 0*g + 2 - g**2. Give d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 - -110001?\nAnswer: 101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1528630.39 - 0.2?\nAnswer: -1528630.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s + 105. Determine x(13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 2.7906155?\nAnswer: 2.8906155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 80771, -0.06, 4, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 5*k = -2*z + 18, -3*k + 2 = -z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*f**4*i - 3*f**4 - 2*f**2*i + 2*f*i - 20*f wrt f.\nAnswer: 528*f**2*i - 36*f**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 5. Let g(y) be the second derivative of y**3\/3 + 3*y**2 - y. Let n be g(-5). Determine u(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35636.7km in centimeters?\nAnswer: 3563670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -4 + -4)*1.\nAnswer: -8 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + -3 + 79 + -86 - -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {g: 2, s: 4, i: 1, j: 4, k: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14452242256 - 14452242256 - 28*i**2.\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/6 + 3*j\/2 + 3.\nAnswer: (j + 3)*(j + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x - 3*z = -99, -4*z - 8 = -x. Let a = x - 29. Put a, 4, 3, 2 in ascending order.\nAnswer: a, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 3. Solve -4*o - 2 = 6, 2*c - s*o = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - 48 - 14\/(-1 + -3 - -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 661671 and 333.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1942 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1038\/253141?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**4 - h**4 + 3*h**4)*(-4 + 4 + 1) + 5*h**2 - 5*h**4 - 5*h**2 + 45*h**4 - 4*h**4 - 4*h**4 as m*h**4 + q + g*h**3 + f*h**2 + p*h and give m.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31095 and 2205.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 6*j**2 + 9*j - 4. Let k be d(6). Let b be (1764\/72)\/((-5)\/(-10)). Suppose k*n = b*n + 572. Calculate the greatest common factor of 52 and n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253.36 bigger than 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 289 - 4994 = -z, 9404 = 2*z + d. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 5:08 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 31. Let a = 53 + -39. Calculate the lowest common multiple of a and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(396) - (sqrt(396) + 2 + -2*sqrt(396)))*2 - (1 + -2*sqrt(396))*-5)*-3 + 1)**2.\nAnswer: -1080*sqrt(11) + 128329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 9*i = -6*i - 27, 0 = -w - i + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00753404 rounded to five decimal places?\nAnswer: 0.00753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10936664 - -4366664. What is y rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-170)\/204*(-141)\/47*-16?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 6. Suppose -3*i + 4*i - 5*d - 25 = 0, -10 = -3*i + a*d. Suppose -2*u - 4*j + 1 = -1, 5*u - 60 = j. Solve i = -5*g + 1 - u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 14*j + 34. Let g be f(-3). Solve -t - t - q = -5, 2*t = q - g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21406638 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -4. Let b be 3\/(n\/((-25)\/(-3))). Suppose -b + 45 = 5*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25557.8 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 387*y**2 + 1393*y + 686689. Give l(-386).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(-1)*-1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 - 200 = -5*d + q, q + 1 = 0. Let a(b) = -b**3 + 10*b**2 + 4*b - 9. What is a(d)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30912 = -30*a + 16*a. Suppose -3*f + 9 = 3*q, 0*q + 5*q = 3*f + 15. Suppose -q*n + 1749 = -a. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -5*d. Suppose d = 3*h + h - 60. Is 117\/h + (-3)\/(-15) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 - 12*u**2 + 9*u + 19. Calculate o(-6).\nAnswer: -1547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.77 + -0.018330807?\nAnswer: 197.751669193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 43852 divided by 2\nAnswer: 21926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.078277388 to one dp.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46180 - 181. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = -3*a. Suppose -2*m + 6 = 3*q, -2*m + q + q - 4 = 0. Sort -2, a, m in descending order.\nAnswer: a, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4759\/6 + -793. Let x(u) be the third derivative of -2*u**2 - v*u**3 + 0 + 1\/8*u**4 + 0*u. What is the first derivative of x(o) wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - 1) + (-6 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -82*t + 42*t - 3*t**2 + 35*t + 4*t**2. What is the units digit of x(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 - -511\/4. Which is the closest to 0? (a) 6 (b) k (c) 2\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 162, 136, 80, -12, -146, -328, -564?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 280153479 or 280153485?\nAnswer: 280153485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:29 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*(s\/s**5)\/s))\/(s\/(s**(-1\/4)*s*s)))\/(s\/(s\/(s\/(s\/s**(-1)*s))))**(-39))**(-10) assuming s is positive.\nAnswer: s**(1465\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:55 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/312037 in 7\/11, 2\/7, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137959.5 rounded to the nearest one hundred?\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (sqrt(143) + 3*sqrt(143)*-1 - sqrt(143)))*-5)\/((sqrt(11) + sqrt(77)\/(sqrt(28)\/sqrt(4)))*2).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 620811 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -538 - -544. Let n be ((-144)\/(-462))\/v*7. Suppose -n*b**2 + 2\/11*b + 0 + 2\/11*b**3 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9823904 - 0.0824954. Let q = h - 2.9. What is q rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104651\/84 + -1245. Calculate the common denominator of (423\/1782)\/((-2)\/6) + 1 and p.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 100\/70*(9 - 2). Let i be ((-4)\/j)\/(3\/(-15)). Let o = 4 + -1. Put o, 1, i in decreasing order.\nAnswer: o, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 1508482?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -5, 0.06, -2\/4783?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*m - 22 - 9, 0 = 2*m - 3*z - 71. What is m rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z**3 + z**2 - 2*z + 1. Calculate i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1847, 3741, 5711, 7799, 10047, 12497, 15191?\n\"Answer: 7*b**3 - 4*b**2 + 1857*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 2*k**2 + 2*k + 7. What is r(-4)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*t = 2116 + 1303 - 444 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 218 = -2*z, -20*z + 15*z = 2*b - 101. What is the remainder when 3533 is divided by b?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519116 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180 + 181.41. Let p = 0.91 - u. Which is the closest to 3? (a) 4 (b) p (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 1\/8 (c) -0.2 (d) 3\/238 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 8*v - 5*v + 2*p, -5*v = p + 114. Let r be (-25106)\/104 - v\/143. Let q = r + 243. Sort 1\/2, -0.5, q.\nAnswer: -0.5, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((56 + 4)\/6)\/(-12)*(10 - 16). Let k(s) = -33*s - 8. Calculate k(i).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:13 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-4 - -10) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2037.\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dggggdvvdododrdga.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 442, 444, 446, 448, 450, 452?\n\"Answer: 2*w + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 (base 7) in base 16?\nAnswer: -9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 53*i**2 + 4*i + 1. What is g(-1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12890792 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 u when three letters picked without replacement from kukuduuururu?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 6*y + 4. Let z be h(-5). Let i(o) be the third derivative of 0 + 0*o + 1\/6*o**3 - 10*o**2 + 1\/3*o**4. Calculate i(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/17 in -0.1, 0.17, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -4 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + -5 + sqrt(75) + -4 + -4*(sqrt(75) + 4) + 4)**2.\nAnswer: 480*sqrt(3) + 928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lolmnlol. Give prob of sequence ol.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00266623948 to 5 dps.\nAnswer: 0.00267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30193291279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 4:36 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*b - 5. Let d be b\/(-9) - 124\/(-6). Suppose 0 = h - 0*h - d. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmby when four letters picked without replacement from {b: 1, m: 1, t: 1, y: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351229 is divided by 1141.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 74. Let m = -25 - y. Solve -c - 13 = -m*j - 0*j, 0 = -4*j - 2*c + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3 - 243*l + 241*l - 5 + 13. What is i(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i + 2. What is r(4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 700?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -1.15223\nAnswer: 51.85035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5578 + 9704*a + 5578.\nAnswer: 9704*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-90)\/(-285) + (-2187900)\/(-323) is divided by 144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let m be ((-6)\/(-9))\/(29\/174). Solve p + 2*a = -5, 5*a = -m*p - o - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 293*q + 7641. Give p(-26).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**9\/7560 + c**7\/1260 - c**4\/6 - 3*c. Let y(j) be the third derivative of n(j). Let y(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2\/3 + 5935*t\/3 - 5936\/3 = 0.\nAnswer: -5936, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97800858 is divided by 3425.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 7*w - 8. Let h be l(-8). Solve h = u - 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1132599*v**6 - 68*v**2 - 3068*v.\nAnswer: 135911880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.14 - 0.14. Let a = 4.9839 - q. Round a to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -170.3 and 2826.\nAnswer: -481267.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o. Let y be h(2). Let l be (-4 - 0)\/(y\/12). Let i be (-14)\/l - 4\/(-12). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7)*1*-4 + 1 + sqrt(63))**2 + -5 + (sqrt(28)\/sqrt(4) + 4)**2.\nAnswer: 6*sqrt(7) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 8. Suppose -5*t + s = -14. Solve 0 = -0*q + 3*q - 2*x - 12, 12 = t*q - x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 31, 1 in increasing order.\nAnswer: -49, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -18358 smaller than -2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27387 and 1025559?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/165 and -111\/22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 3 + 3 + (5*f - 2*f - f)*(0 + 3 - 1) + (4*f + 2*f - 4*f)*(2 + 3 - 4).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.945 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494894, -494572, -494250?\nAnswer: -493928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12 = 3*c, 3 = -n + 3*c + 15. Let z be ((-6)\/5)\/(12\/(-30)). Let p = z + n. What is the remainder when 5 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxqxqq. Give prob of sequence xxqq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j - 14*j - 3*b + 202, 0 = -2*j - 3*b - 64. Which is smaller: -27 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:49 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -1413509277.\nAnswer: -1413509279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-30))\/((-140)\/(-200)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqfu when four letters picked without replacement from {q: 10, u: 6, f: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 8*q + 7. Let p be n(5). Suppose 19*j = 633 + 1590. Suppose 4*s + j = 3*w, 2*w - s = -3*s + p. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(200) + -2)**2.\nAnswer: -804 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1407 = 68*v + 2945 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 - a**3 + 5*a**3 - a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 = -4*b, -2*g = -3*g + 2*b + 12. Suppose 0*d = -3*d - 12. Let p be (7 + d)*g\/(-6). Which is greater: p or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + sqrt(38)*-2)*-6 - sqrt(38) - sqrt(342)\/(sqrt(18)\/sqrt(2)))\/(sqrt(128)\/sqrt(4) - (sqrt(72) + -2*sqrt(72)))*-2.\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**4\/7 + 316*g**3\/7 + 1952*g**2\/7 + 2624*g\/7 = 0?\nAnswer: -4, -2, 0, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, -1, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 32565, -1\/5, -2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156)*-1)\/(sqrt(192) + 2*sqrt(192) + sqrt(192)) + (2*sqrt(143)*1)\/(sqrt(44)\/(sqrt(8)\/sqrt(2))).\nAnswer: 33*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-60)*15\/10. Which is the fourth biggest value? (a) q (b) -5 (c) 1\/4 (d) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007761493 to 4 decimal places.\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161 + -35. Let o = 196 + g. Which is the nearest to 1? (a) o (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:55 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 + 2*t**4 - 2*t**4 + ((0*t + 18*t + 8*t)*(-7*t**2 + 2*t**2 + 3*t**2) + (-4*t + t + t)*(1 - 1 - t**2))*(t**2 + 0 + 0).\nAnswer: -49*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.879 rounded to zero dps?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from gxggixgxxxrgxvxgvx?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (556\/3614)\/(5\/(5\/4)*(-92)\/46)?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5, 2*j = -0*j - p + 301. Suppose 0 = -l - x - j, -4*l - l - 759 = -x. Let s = 234 + l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2342363217*l**3 + 0 + 0 - 2342363220*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(-1*sqrt(200)))**2 + 1 - (-5*sqrt(33)\/(sqrt(275) - sqrt(11)) + 1)**2.\nAnswer: -1827\/400 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4. Let a(q) = -5. Let o(i) = 5*a(i) - 6*h(i). Let w(p) = 2*p - 6. Let z(x) = -5*o(x) + w(x). Determine z(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155795209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -752728, -752635, -752488, -752293, -752056, -751783, -751480?\n\"Answer: -a**3 + 33*a**2 + a - 752761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101100 + -10?\nAnswer: -10101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/12 + (-33)\/99. Suppose 4*k - 11 = -3. Suppose 3*b - k = -2*f, b = -5*f + f + 14. What is the third smallest value in b, 2\/7, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.072, 2\/17, -2, -1.3, -4 in ascending order.\nAnswer: -4, -2, -1.3, 0.072, 2\/17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3 + 1)*(4*p**2 - p**2 - 4*p**2) + 0*p**2 - p**2 + 6*p**2 - p**2 + 0*p**2 + 2*p**2 - p - p**2 + p + (-p - 2 + 2)*(2*p - 5*p + 4*p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011000000100 - -1?\nAnswer: -1100011000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -4, -168088?\nAnswer: -168088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12934 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**(2\/3)))\/c)**(9\/10))**3*((((c\/(c**(-2\/5)\/c))\/c*c)\/c)\/c)**(-2\/115)*(c**(-1))**(-22) assuming c is positive.\nAnswer: c**(24257\/1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-2\/17)*u**2*u\/(u**(5\/2)\/u)*u*u**(-1\/2) assuming u is positive.\nAnswer: u**(53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 2:10 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142430 is divided by 126887.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/1735 and -1\/52532330.\nAnswer: 52532330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 39?\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3 + 5*g - 1 - 2*g. Let w(k) = -10*k - 7. Let c(a) = 2*w(a) + 7*y(a). Let l(h) = -3*h. What is l(c(t))?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*y - 3*y. Suppose 0 = 5*p - 148 + y. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1744099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/51 and 13\/327.\nAnswer: 5559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85*3.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -m - 7, -3*m + 5*j + 2 - 3 = 0. Let d = 0.23 - -8.77. Let a = -9.5 + d. What is the second biggest value in m, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -49*p + 471. Let w be s(9). What is the highest common divisor of w and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.749 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**5 + 111*a**4 - 210*a**3 - 6*a**2 + 213*a - 105.\nAnswer: -3*(a - 35)*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 4*i + 38 = -p, -335*i = -2*p - 340*i - 37 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + 0 - (57 - 40 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7343300 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/28019405?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 66*p**2 - p - 18. Let o be w(-33). Suppose 16*d - o*d - 4 = 0. Calculate the lowest common multiple of d and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 187?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -825 - -884.7. Let g = d + -60. Put -10, 0.5, g in decreasing order.\nAnswer: 0.5, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113 + 12?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 6) to base 2\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1978070 and -7\/147564022.\nAnswer: 737820110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 - 3*v. Let f(a) be the second derivative of -a**3\/6 + 7*a**2\/2 + 3*a. Let b be f(5). Suppose -3*t - 3 = -2*c - 2, 3*c - b*t = 4. Give l(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.03 - -28. Round x to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1830355?\nAnswer: 5, 53, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -44\/9, -3, -17 in ascending order.\nAnswer: -17, -44\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o + 5. Let q be b(-5). Suppose q = -h + 30. Solve 2 - 27 = -h*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25600 + 25624. Solve -g = 81*d - 87*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -813 - 2e?\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -195633 divided by 21737\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**5\/6 + s**4\/8 - s**2. What is the second derivative of t(o) wrt o?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -7. Let s = p + 1. Suppose 4*j - 36 = -4*l, -j - 34 = -l + s*j. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:36 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-1 + 6*sqrt(14)*-3 + sqrt(14))\/(sqrt(35)\/(sqrt(5)*1) - 3*sqrt(7)*-2).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czfcbczzbfzqccc. Give prob of picking 1 b and 1 f.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (15 - 8)) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 3, -9\/14, -2\/3, 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 166 - 224. Let g = -41 - y. What is the remainder when 83 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, b: 1}. Give prob of picking 1 b and 1 p.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60176, 67391, 74606?\n\"Answer: 7215*i + 52961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 2\/3*k**3 + 5\/24*k**5 + 0*k**2 + 5\/3*k**4 + 0*k - 19. Let s(a) be the third derivative of r(a). Differentiate s(n) wrt n.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - (-83 + 66)) + 65?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/2 + 9*u**4\/2 - 27*u**3\/2 + 31*u**2\/2 - 6*u = 0. Calculate u.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 5*k**4\/4 - 3*k**3 - 43*k**2\/2 + 21*k. Is l(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708*g - 15 + 8 + 7.\nAnswer: 708*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2655526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + b + 201. Let d be v(0). Suppose -5 = 5*a, -2*a - d = -i + 63. Is (1\/2*i)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147084 and 16294908.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 - 1022110222210?\nAnswer: -1022110221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 - 4*n)*(-n - n + 0*n) + (4*n**2 + 3*n**2 - 5*n**2)*(14 - 7 - 12) to the form y*n + c + p*n**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 779 + -775. Solve 3*k - j - 6 = f*k, -j - 2 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 9, r: 6}. Give prob of sequence hw.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 673 + -691.18. Let m = 11 - -7. Let f = b + m. What is f rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -6960 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**5\/5 - 480*r**4 - 126856*r**3 + 10222752*r**2 - 221707264*r + 7408852992\/5 = 0.\nAnswer: -634, 16, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(1 - 0 - (-10 + 7))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7 + 2*n - 7 + 14.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175930242 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*f*j**2*o - 10*f*j*o + f*j - 2*f*o + 245901*j**2*o - 1119*j*o + j + 2*o + 49 wrt j.\nAnswer: -18*f*o + 491802*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1406 - -1410. Solve 4*f - i*n = -8, 0*f - 4*f + n = 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*k**3 - 108*k**3 + 82*k**3 - k**2 + 1 to the form z*k + p*k**3 + y + r*k**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11239 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/121783?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 19 = -3*u. Let r be u\/5*((-3)\/(-2) - 4). Let l be 1*16\/12 - (-1)\/r. Solve -k - l + 4 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/10 + 507*j**2\/5 + 2607*j\/2 + 11011\/5 = 0. Calculate j.\nAnswer: -1001, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 657.6332 nanometers to millimeters.\nAnswer: 0.0006576332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*n = 404*n - 48 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1096*j + 453*j - 6 - 5 - 7. Let b be z(-11). Let f = b + 341217\/20. What is the common denominator of -27\/14 and f?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 372426 or 372443?\nAnswer: 372426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**6\/12 + 3*s**5\/10 + s**4\/8 - s**3\/2 - s**2\/2 - 6. Factor z(b).\nAnswer: b*(b - 1)*(b + 1)**2*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 316*p**2 - 129*p + 4.\nAnswer: 632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2535 and 4172805?\nAnswer: 54246465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25072 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -15, 5*s - 2 = -5*y - 7. Is (292 - 0) + 7 + s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100650)\/1980)\/((-45)\/54).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1343 and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -42839 - 41233. List the prime factors of h.\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 110010111000100?\nAnswer: -110010111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 2:06 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84*((-7)\/21)\/(-1). Suppose 3*x + 4*x - h = 0. Solve 3*q + p = -2*p + 3, x*q - 4 = p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-556545)\/(-220)*16\/6 is divided by 125?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 656.709 or 721?\nAnswer: 721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.356662ns to hours.\nAnswer: 0.000000000002321295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1114\/345 - 16\/5. Let k = 577\/76 - 194581\/26220. Let v = k + o. Is -1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59.238 - 59. Let f = m - -2.762. What is the closest to f in -3\/4, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 74*n + 1511. Is l(52) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -62, -68, -74, -80?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.83066978 to 3 decimal places.\nAnswer: -0.831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {p: 5, g: 15}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + -2 - (-2 - ((-4 - (-20 - -17)) + 3)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 9*r**2 - 11*r + 9. Suppose -4*t + 15 = 3*n + 39, -4*t - 2*n = 20. Let b be h(t). Solve 0 = 11*i - b*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-245)\/60 + 7\/84.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88175 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -33486 * 0.03\nAnswer: -1004.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - h**2 + h**2)*(0 - 1 - 1)*(-4 - 3 + 6) + 4 - 3*h**3 - 4 + (120*h - 61*h - 80*h)*(-h**2 + 0 + 0).\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*x - 23 = 5, -4*i = -2*x - 22. Does 3 divide (0 + -2)*(-63)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3481 by -59.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -60 + 1 + 19 - 55 + 46*b. Is y(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r + 33. Let x be p(6). Suppose 0 = 3*z + x*c - 48, 2*z + 0*z - c = 44. Solve -u = -4*s - 8, 4*s - 4*u + z = -0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118922928 and 148653660.\nAnswer: 594614640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 + 13. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 239, 671, 1317, 2201, 3347, 4779, 6521?\nAnswer: 8597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 - 1854758*c + 9273788\/5.\nAnswer: 2*(c - 4636894)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(300))\/(sqrt(490) + sqrt(490)*2 + sqrt(490) + sqrt(490)))\/(5*sqrt(120)\/(2*sqrt(1200))).\nAnswer: -24*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, f: 4, d: 1}. Give prob of sequence sff.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*n + 156*n = -16. What is the third derivative of 3*v**2 + 7*v + 4*v**4 + 92*v**n - 5*v**4 wrt v?\nAnswer: 2184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-405))\/(-20*32\/400)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 = -11*j + 53 - 302 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/5 - 1676*o**3\/5 + 6691*o**2\/5 - 5016*o\/5.\nAnswer: o*(o - 1672)*(o - 3)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -72. Let g = 202 - n. Calculate the remainder when g is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1931.8 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.18 or -12?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87902*b**3 + b**2 - 37929*b?\nAnswer: 527412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -916819, -916818, -916817, -916816, -916815, -916814?\n\"Answer: g - 916820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2226876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363890321?\nAnswer: 17, 21405313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 71793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2 + (sqrt(1377) + sqrt(1377)*1 - sqrt(1377)))*5)**2*-4*3 + 0.\nAnswer: -414302 - 10800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3605*w - 3424*w + 1643*w - 457810 = 0 for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18966 or 18967?\nAnswer: 18966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/7 + 256*i\/7 - 2574\/7 = 0.\nAnswer: 11, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2313 + 43?\nAnswer: 2356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004747945 to five decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2194 or 9845?\nAnswer: 9845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 1. Let m(f) = 8*f**3 + 7*f**2 - 12*f - 8. Let b(o) = -3*o**3 - 2*o**2 + 4*o + 3. Let q(z) = k*m(z) - 11*b(z). Suppose 2 + 28 = 6*c. What is q(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 223, 236, 293, 418, 635, 968, 1441?\n\"Answer: 4*r**3 - 2*r**2 - 9*r + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*s**2 - 73*s**2 - 90*s**2 + 200*s**2 - 80*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (294\/4802)\/((-252)\/(-392))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 206.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 minus 1555646?\nAnswer: -1555689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-561)\/(-1683)*(-3*2)\/(5\/10). Put s, 7, -3, 78, 2 in decreasing order.\nAnswer: 78, 7, 2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (117\/39)\/(5\/((-50)\/(-55)))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r**2 - 610*r + 429. Let c be x(-55). What is the greatest common divisor of c and 1536?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1251 and 72?\nAnswer: 10008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-7 - 328\/(-48))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 6*m + 16 - 9)*(-3 + 1 + 1).\nAnswer: 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1353, -1354, -1355, -1356, -1357?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 - 247 + 18)*(-4*b**2 - 2*b**3 + 4*b**2 + 2)*(-2*b - b + 2*b) in the form u + h*b**3 + z*b**2 + f*b**4 + l*b and give f.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -3, 38\/3, -2, -0.33, -4?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1809, 1781, 1753?\n\"Answer: -28*h + 1837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:27 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 60*i**2 + 423*i + 142. What is d(-66)?\nAnswer: -1640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 971264 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 751\/5 + -3811\/30. What is the common denominator of -61\/9 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 28*r = 5795. What are the prime factors of r?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 6*j - 5. Let m be x(4). Suppose 0 = -m*v - 2*v + 20. Let i(d) = -2 - 2*d - v*d + 5*d. Determine i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7700 and 1456?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 12*p + 19. Determine b(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 12*y + 8*y + 42 = 0, -5*f + 2*y = -44. Suppose -5*s + 546 = 4*d, s + 2*d - 328 = -2*s. Calculate the greatest common factor of s and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5 - 2\/5*x - 2\/5*x**2.\nAnswer: -2*(x - 2)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/21, -1.44, 0.48, 0.3?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -3325.441?\nAnswer: -3325.441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**5\/20 + j**4 + 11*j**3\/6 + 7*j**2 + 343*j. Determine a(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(85*v**2 - 27*v**2 - 35*v**2)*(-2 + 0 + 0).\nAnswer: -46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**4\/12 - 17*f**3\/6 - 8*f**2 + 3*f. What are the prime factors of g(-14)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47859 divided by 301.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 64 = 20. Suppose -18 = -a + l, 4*l - n = -2*a + 2. Suppose 2*h + 29 = 4*i + 5*h, -4*i = -h - a. Solve 4*g = -g + i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.061 + 1.811\nAnswer: 1.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 2*f**2 + 3*f + 3. Let y be ((-12)\/(-5))\/((-9)\/(-30)). Suppose 0 = r - 2*r + 2*b - 6, y = 4*b. Is j(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n - 132. Let x be 4\/(-14) + n\/(-14). Let c(z) be the third derivative of -z**6\/120 - z**5\/10 - z**4\/4 - z**3 - 7*z**2. What is c(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 2*n**2 + 2*n + 1. Let v(i) = i**3 - 9*i**2 - 9*i - 11. Let f be v(10). Calculate p(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1961 - 1078 + 2*b - 1018 to l*b + j and give j.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -59*y**8\/56 - 47*y**5\/60 + y**4\/12 + 107*y**2 - y. What is the third derivative of u(t) wrt t?\nAnswer: -21240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4 + f - f**2 + 3*f**2 + 2 + 1. Let q be h(2). Calculate the highest common divisor of q and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.556 + 0.67. Let t = -1.84 - -2. Let u = t - h. What is u rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24217*u**3 + 3 - 3 + 8312*u**3.\nAnswer: -15905*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 170005300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -169*k - 109. Is x(-9) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 + k**2 - 3*k - 1. Is t(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 - 4 + 3*n**2 + 4*n**2 - 6*n - 3*n**2. Let w be t(7). What is h in 12\/7*h**w + 2*h**5 + 8*h**2 - 16\/7*h - 46\/7*h**4 + 0 = 0?\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 2:03 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssosoo. Give prob of sequence sooo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*t - 3442*t - 539*t = -281096 for t.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + 114 - (-3256)\/(-68)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 10:22 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 57 - 67 - 1205*s + 1211*s + s**2. Calculate r(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 21 + (5 - 3 - (3 - 1) - -52).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000237888662 to seven dps.\nAnswer: 0.0002379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86287 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 55*l + 60.\nAnswer: -5*(l - 1)*(l + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-8 - -6) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -0.7. Let s = -776\/1173 - 2\/391. What is the nearest to i in 5, 1\/2, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36835, 73664, 110479, 147274, 184043, 220780, 257479, 294134?\n\"Answer: -s**3 - s**2 + 36839*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4274, 4277, 4284, 4295, 4310?\n\"Answer: 2*h**2 - 3*h + 4275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - -4. Let h = v + -36.000089. What is h rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s = 25. Let l be (-6)\/s*(-5)\/(-2). Let r(a) be the first derivative of -a**3\/3 + a**2 - 4*a - 35. Give r(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8 = -4*r + 8, -2*r - 3*z + 8 = 0. Let s(k) = 61*k + 2443. Let n be s(-40). Solve -18 = 2*a + r*w, -4*w - 19 = n*a + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4 - 435*j**3 - 15426*j**2 + 9256*j + 842688 = 0.\nAnswer: -396, -38, -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 11*n - 4*n - 1)*(3 - 2*n + 1 - 3).\nAnswer: -6*n**2 + 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*x + 104 = 80*x - 148*x. Suppose -15 = 5*d, -2*s + 5*d + 17 = -2. Suppose -3*i + 265 = x*w - 0*i, s*i = 3*w - 203. List the prime factors of w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2140170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-g**2 - 2*g**2 + g**2)*(-15 - 738*g**3 + 1473*g**3 - 734*g**3).\nAnswer: 4*g**5 - 60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -577*s + 10962. Let m be o(19). Let p = 2 - 2.1. Which is the nearest to m? (a) p (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873.5933km in nanometers?\nAnswer: 873593300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + q + 2*q)*(2*q + 0*q - 3*q) + 2*q**2 - q**2 - 2*q**2 in the form c*q + t*q**2 + l and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 17. Suppose 0*u + 12 = q*u. Suppose -2*m = m - u. Which is smaller: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 3. Let g(n) be the first derivative of 2*n**2 - 7*n - 7. Determine -3*g(b) + 7*i(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-226.\nAnswer: 5876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixixxixxxxxii. Give prob of sequence xxi.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/6409 and -37\/161551?\nAnswer: 4684979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 728400 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-32)\/(-8))\/32 - 8912710\/(-80) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2730.3094 to the nearest integer.\nAnswer: -2730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 690.8538282 - -73454.6023918. Let w = g + -74150. Let f = -4.55 - w. Round f to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123714 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by 1\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4682*i**2. Let c(w) = 2*w**2 - 116 + 148 - 32 - 3*w**2. Determine c(n(t)).\nAnswer: -21921124*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from crrwvvwvtv.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*v = 6, 4*w + 4*v - v = 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -254 (c) 1 (d) -1\/3 (e) 2\/245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19*r**2 + 80*r + 306. Calculate u(-8).\nAnswer: -1550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 9 = 6*h. Let v(q) = -h + 3*q - 2*q + 6 + 3. Let r be v(-3). Solve -r*t - 5 = -5*w + 2*t, 2*w - t = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -127585164, -127585162, -127585158, -127585152, -127585144, -127585134?\n\"Answer: n**2 - n - 127585164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2d623b (base 16) to base 3\nAnswer: -12121002221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, k: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 763231, 763228, 763223, 763216, 763207, 763196, 763183?\nAnswer: 763168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546, 526, 506?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/5)\/(g\/(g*g**(-8)))*(g*g*g**(-1))**(-1\/18)*(g*g**(-3\/4)\/g)\/(g**2\/g)*g\/((g*g**(1\/2)*g)\/g)*g*g**(-2\/5)\/g assuming g is positive.\nAnswer: g**(-371\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 9)\/((225\/(-70))\/15). List the prime factors of -116*44\/(-12) - 14\/u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 + 4. Let p = 504 - 920. Let n = -421 - p. What is the nearest to 0 in n, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-7)\/r)**(-1\/2)\/(r**(-5\/11)\/r**(-6\/13)) assuming r is positive.\nAnswer: r**(999\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 3478572.\nAnswer: 1\/579762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 4*d**2 + 5*d + 146. Calculate the least common multiple of 11 and l(0).\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d. Let n(l) = -9749*l**2. What is n(c(u))?\nAnswer: -974900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1358537?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1361 or -1360?\nAnswer: -1360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 141. Let i be t(36). Solve 4*b = i*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 12 - 38 = -5*t, k = 655*t - 645*t - 100 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/51 and -71\/3800?\nAnswer: 193800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -f + 2*s, -9 = -3*f + s - 4*s. Let b(t) = 1 + 0*t**2 + t**2 + 2*t - f + 8. Calculate b(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 69890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 4:29 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*k = -16, -k + 3 = n - 1. List the prime factors of -45*(-1 - n\/(-2)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/42 - (-2)\/7. What is the closest to -0.1 in -0.1, 6, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -540032 by -101.\nAnswer: 540032\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**17*h**(2\/7)*h**(-4)\/(h*h**(-1\/13)))**(25\/2) assuming h is positive.\nAnswer: h**(28125\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23660 or -23653?\nAnswer: -23660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 3*h - 2. Suppose -2 = 3*t - 4*d - 10, 2*t = -3*d - 6. Suppose 4*b - 15 + 3 = t. Does 8 divide u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-16)\/6)\/((-8)\/(-9))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(117) + (sqrt(117) + 1*sqrt(117))*-1 - sqrt(117) - sqrt(117)))\/((sqrt(729) - -1*sqrt(729))*-4))**2.\nAnswer: 325\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (23 - 23) + (714 - 3). Calculate the highest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkh when three letters picked without replacement from fhkvhfffvvfhvfhvh?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 5 = 0, -4709*s + 5*i = -4703*s + 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 5*f**2 + 4*f + 42. Let c be j(-5). Suppose -c*g = -368 - 14614. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 25, 29313 = -5*x + 9*x - g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.06 + -0.14. Let u = 1.68 + t. What is u rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 3, p: 2, h: 1, e: 3, v: 1}. What is prob of picking 2 p and 1 l?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 198. Let v(a) = a + 197. Let q(z) = 3*v(z) - 2*y(z). Let i be q(-39). Solve 3*o + 12 = -i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5921*a**3 + 382*a**2 - 191*a + 191. Let y(t) = 185*t**3 - 12*t**2 + 6*t - 6. Calculate -6*l(z) - 191*y(z).\nAnswer: 191*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x**4\/2 + 14673*x**3\/2 + 24189*x**2 + 21054*x + 4212 = 0 for x.\nAnswer: -2, -1, -2\/7, 702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**2\/3 - 190042*d\/3 + 29124172 = 0?\nAnswer: 462, 94559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d**3 - 2*d**2 + 23*d + 24. Calculate m(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g + 4*l = 18, 5*g - l = 7. Suppose 9 + 23 = g*n. Calculate the lowest common multiple of 90\/(-12)*n\/(-10) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(-2*sqrt(49)\/sqrt(7)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/60 + u**4\/3 + 5*u**3\/3 - u**2. Let i be d(-7). Let s(k) = k**2 - 3*k + 4. What is s(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 64. Let r be m*1*(-28)\/(-16). Is r >= -41\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 3:30 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1121\/74 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 764601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 9:16 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i + 256*i + 241*i - 494*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 2623 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**3 + 52395*f**2 = 0.\nAnswer: 0, 10479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -541 (base 16) in base 9?\nAnswer: -1754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0)\/((-5)\/(40\/12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s + 42*s = -45. Let w be (6\/5)\/(4\/10). Sort s, 1, w in decreasing order.\nAnswer: s, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950 + 191*p - 1401 + 2351.\nAnswer: 191*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8029841 divided by -136099?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14094 is divided by 141.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*5*2*(-3 + sqrt(1573))*-6)**2.\nAnswer: -5940000*sqrt(13) + 142380002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 513 or 558?\nAnswer: 558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1115 - 1095. Calculate the lowest common multiple of 136 and l.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/24 and (3\/(-36))\/((-255)\/1088).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -39\/4663942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 25, 40, 57, 76?\n\"Answer: r**2 + 10*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, 5, 0, -7 in descending order.\nAnswer: 119, 5, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75 - 1772?\nAnswer: -2067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (37281\/1462)\/(9\/(-24))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 6*g + 3*g)*(-15 - 13 - 9*g + 27).\nAnswer: 54*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (6 - 6\/2). Suppose 5*t = -15, l*s - 4*t - 117 = -t. What is the remainder when s is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 2*m - 21, 0 = -4*m - 12. Suppose -j*g = 2*g - 635. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10.99 and 10.50655?\nAnswer: 0.48345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 32. Let p = 22 + y. Let s = -26.9991 + p. What is s rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = u, 0*u + 3*u + 5*t = -19. Let h(w) = -9*w**3 + 6*w**2 + 9*w + 7. What is the tens digit of h(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -160*k - 296. Let p be z(-2). Solve -q - 4*q = -3*x - 13, -4*q + p = x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.042274 and -0.84.\nAnswer: -0.03551016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 1. Let r be x(1). Let i be (-22 - -2 - r)\/(-1). Suppose -5*c - 5 = i, 5*y - 35 = 2*c. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 + -111200001102?\nAnswer: -111200002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 5)*(-4*c + 2*c + 3*c) + (-24 - 12 - 29)*(0 + 2 - 1)*(-6 - 17 - 6)*(0 + 0 + 2*c) as w*c + f and give w.\nAnswer: 3769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 283428*r + 6694285932.\nAnswer: 3*(r + 47238)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/798)\/((-20)\/(-2))?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31905370 divided by 214130?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224178 = -257*v + 238313 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -785\/279 + -85\/31. Is o bigger than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-63 - -44) - (-408)\/(-6)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**3 - 3*a**2 + 2*a + 4. Let f be t(-1). Suppose 0 = -2*s + 4*q - 9*q + 639, 0 = -f*s - 4*q + 1640. What are the prime factors of s?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45\/4 of a microgram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 451.9334l?\nAnswer: 451933.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*h + 112 - 28 = 0, -3*k - 14*k + 140 = -5*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.55 - 0.35. Let i = -32 + 22. Let f = i + 9. Which is the closest to -1\/3? (a) f (b) -0.29 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20388 (base 15) to base 16\nAnswer: -18ea5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) + sqrt(88) + sqrt(88) + sqrt(88)*-1))*4)\/(sqrt(32) - sqrt(288)) + (sqrt(110) + (5*2*sqrt(110) - sqrt(110)))\/(sqrt(90)*-2).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/80 + 11\/28?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5*q + 115, -94 = 4*b - 233*q + 235*q for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 2*o**3 + 22*o + 54*o**2 - 72*o**2 + 6*o**3. Let f be c(18). Let i = f - 247. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1111084*f**5 - 494857*f wrt f.\nAnswer: 22221680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 + 201 + 19*y - 99)*(y**2 + 2*y - 2*y).\nAnswer: 19*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -3*p**5\/10 + 17*p**4\/6 + 8*p**3\/3 - 47*p**2. Factor x(t).\nAnswer: -2*(t - 4)*(9*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.5844915 to one decimal place.\nAnswer: 106.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11174966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15259851766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 + 22*f**3 - 24*f**2 - 18*f.\nAnswer: -2*f*(f - 3)**2*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2600588 - 0.26. Round m to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0231 - 0.023828. Round c to 5 dps.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 4 + 4 + (-12 - 2*z + 12)*(84 - 124 - 184).\nAnswer: 452*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 1, h: 2, u: 11}. What is prob of picking 1 q and 1 z?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 9:34 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 755.1 + -755. Let n = -0.12 - -0.03. Which is the closest to m? (a) 0 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 2:43 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 3, -3, 802, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 9*i - 200. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*k + 33. Let h = 143 + -111. Solve -5*a + h = 4*q + 11, -3*a - 3*q + k = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/(5*(-18)\/30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(68) - (-1*(-3*sqrt(68) - sqrt(68)) - sqrt(68))) + sqrt(68)))\/(-4*(sqrt(12)\/sqrt(3) + sqrt(4)) - 2*sqrt(484)))**2.\nAnswer: 68\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79, 160, 241, 322, 403, 484?\n\"Answer: 81*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-36))**(-20\/7) assuming q is positive.\nAnswer: q**(-740\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(11) + sqrt(11))**2 + -3 - sqrt(11)) + sqrt(11) + sqrt(11) + (sqrt(99)*1)**2.\nAnswer: sqrt(11) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -76\/3 at most as big as -1\/48596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:14 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m + 7*m + 7*m - 2 + 1. Give h(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -290*n**3 + 35*n**2 + 35*n. Let w(p) = 17*p**3 - 2*p**2 - 2*p. Suppose -28*f + 5*f - 805 = 0. Calculate f*w(y) - 2*m(y).\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -46799127 and -68?\nAnswer: 46799059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 132, -9, -278, -711, -1344?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 24. Let m be (8\/o - 3) + 3. Suppose -m*u = 3*l - 22, 2*l - u + 2*u = 13. Calculate the lowest common multiple of l and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -158*(-2 - (-12)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 15. Let q be 1\/3*(-1)\/1. What is the third smallest value in m, 5\/3, q?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 50*l**7\/21 - 68*l**6\/3 + 349*l**5\/5 - 304*l**4\/3 + 232*l**3\/3 - 32*l**2 - 32*l. Let k(t) = 0. What is t?\nAnswer: 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -7.56.\nAnswer: -7.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(65) + sqrt(65)*-2)*-3)\/(sqrt(60)\/(-2*sqrt(12))).\nAnswer: -6*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b)**(3\/2)*(b\/(b\/b**(-2)))\/(b*b**(2\/13)))**(-3\/14) assuming b is positive.\nAnswer: b**(363\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 159, 518, 1101, 1902, 2915, 4134, 5553, 7166?\n\"Answer: -o**3 + 118*o**2 + 12*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 33*w - 548. Let v(t) = -3*t. What is x(v(j))?\nAnswer: -99*j - 548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 38.00047 micrograms?\nAnswer: 38000.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*b = -5*l + 502, 0 = 4*l + b - 960. Let d = l + -75. List the prime factors of d.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a9 (base 11) to base 15\nAnswer: 2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3585\/6453)\/(2\/(-3))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**3 - s**2. Let j be a(-1). Find the second derivative of l - j*l**3 - l**3 + 0*l**3 wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (9 - 17) + -26 + 20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167965969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {e: 2, l: 2, n: 6, g: 1, s: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4587765 and 83265?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 22. Let v(l) be the second derivative of l**3\/6 - 7*l**2\/2 - l. Let b(g) = 3*s(g) - 10*v(g). Give b(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35622 is divided by 11433.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-720)\/72 - (18 + 3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954 + 8063026476?\nAnswer: 8063027430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 393823 + -201832. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnrrrrrvvrvnnnr. What is prob of sequence rrn?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -3 - -4*(-14)\/(-4). Suppose 0 = -5*c + 11*s - v*s + 500, -2*s - 430 = -4*c. What is the remainder when c is divided by 2\/(-3)*1620\/(-40)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 - 2*g - 1. Let m(s) = -s**2 - 3*s + 8. Let y(a) = 3*m(a) + p(a). What is y(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527715 is divided by 2868.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*n*s - 9*h**2*s + 76*h**2 - 16*n**2*s + 621*n*s - s wrt n.\nAnswer: h**2*s - 32*n*s + 621*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2145\/26 - 6\/(-4) is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39914723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.3, 3\/5, 142, -2\/13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -121*n + 6*n**2 + 24*n**2 + 113*n + 27*n**2 - 2. What is the hundreds digit of m(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 13 = 5*v, 2*v + 19 = 5*j + v. Suppose -n - 1 = -j. Suppose -i - 3 = -n*f + 4, 3*i + 2*f - 12 = 0. Solve 3*a + i*a + 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 36, 52275, 3, 64 in ascending order.\nAnswer: -3, 3, 36, 64, 52275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 1. List the prime factors of 3 + -1 + 11 + d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7605314 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*v**2 + 0*v**4 - 2*v - 4*v**4 - 121*v**2 to n*v + u + q*v**4 + y*v**2 + p*v**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 24\/17 (c) 0.0099 (d) 2 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -293608? (a) -0.001 (b) -1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 18, 38, 64?\n\"Answer: 3*r**2 + 5*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmxec. What is prob of picking 1 m, 1 n, and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 10:19 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*(-2 + sqrt(1900) + 5 + -2).\nAnswer: 30 + 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y - 1\/240*y**6 - 88*y**2 - 1\/6*y**4 - 3\/40*y**5 + 0*y**3 + 0. Determine o so that u(o) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11735 + -11733. Sort l, -124, 3\/5, -2\/13, -6.\nAnswer: -124, -6, -2\/13, 3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 - 4 = 0. Let v = 18 - a. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {o: 1, v: 1, f: 2, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 2*p**5\/45 + 25*p**4\/18 + 16*p**3\/9 + 455. Solve t(f) = 0.\nAnswer: -24, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6434.81l to millilitres.\nAnswer: 6434810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3158782*t**3 - t**2 - 21973*t - 4.\nAnswer: 18952692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 6*q**2 + 3*q**2 - 4*q to the form i*q + p + u*q**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 11:08 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 192*n - 75*n + 2366 + 1027 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*p + 165*p + 8*p + 18*p - 3972 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177 - 121. Calculate the remainder when o is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 4\/(-6))\/((-438)\/(-5635090314)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(1344\/108))\/(15\/(-20))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/28, -6, -0.151, 2\/15 in descending order.\nAnswer: 2\/15, -1\/28, -0.151, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113471978.\nAnswer: 2, 3, 79, 2349097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.9 + 150.9. Let x = u - 150. Is x at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0 - 8*i**2 + 14*i + 7\/3*i**3. List the prime factors of p(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1389149.\nAnswer: 1389149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (sqrt(112)*1)**2 + sqrt(35)\/(sqrt(180)*-3).\nAnswer: -sqrt(7)\/18 + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*(3*sqrt(2736) + 5) - (-3 + -3 + 0 + sqrt(2736))))**2.\nAnswer: 8448*sqrt(19) + 177040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**16\/(z*(z*z*z**(-2))\/z)*(z**6)**38 assuming z is positive.\nAnswer: z**244","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/2 - 558\/(-45).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6406855786?\nAnswer: 2, 293, 10933201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-258)\/207776*128\/(-12).\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/14430 and 121\/227994?\nAnswer: 1139970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 29 = 90*b - 22. Is 15\/2357 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/275, -5?\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4021 - 548. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -361bb2a2 + -4?\nAnswer: -361bb2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 41 = -1. Let c be (-19 + i)*12\/(-16). Let v be (-6209)\/(-42) - (-2)\/c. What is v rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w + 24. Let l be x(0). Let u = -20 + l. Factor 1\/6*g**u - 1\/6*g**3 - 1\/6*g**2 + 0 + 1\/6*g.\nAnswer: g*(g - 1)**2*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d. Let c(i) = -5*i + 7 + i - i - 4 + 1. Let k(h) = 3*c(h) + 4*g(h). Suppose -17 = 4*n - 4*l + l, -2*l = 2*n + 12. What is k(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.508 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y*y**(1\/14))*y**(2\/13)*y*((y\/(y\/y**(-4)))\/y)\/y**1*(y*y**3)\/y**1*y**3*y*y*y**(-4)*y assuming y is positive.\nAnswer: y**(-167\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.237 + -0.263. Let s = g - -16.7. What is the second smallest value in -1\/2, s, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/6*(1134\/(-62370) - 206\/770)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-110)\/16)\/(-11))\/((-1)\/(-11)) and 55\/13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/15, -0.1, 3\/2, -15, 70\/19, -3\/2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 5) + -6 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10516?\nAnswer: 2, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -5\/2, 49\/16, 1.05?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9908 + 9823 = 5*h for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 + -0.1. Let l = -0.3 - x. Which is the closest to 3? (a) 2 (b) 2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 202.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 3:07 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 80. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*a - 5. Suppose 5*z - 3*u - 76 = 5, -2*z = -2*u - 30. Calculate the remainder when z is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 4*j**3 + 3*j**3)*(-j - 5*j + 0*j) - j + j - j**4.\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1887966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:53 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*j, 5*l = 2*j + 24 - 3. Let q be (4 - (-33054)\/66) + 1. Let a = -506 + q. What is the smallest value in a, 2, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214358470 rounded to the nearest 1000000?\nAnswer: 214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - y = 27, -660399 = -3*t + 3*y - 660408 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 201 = -4*o - 15, -2*o - l = -94. Which is smaller: 47 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*h = 3*h + 3400020, -4*t - 3399996 = -h. Round t to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 1 s when three letters picked without replacement from ysssyljrrymmlyyysjjj?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 4*b**2 - 5*b + 4. Let q be r(-4). Suppose q = 5*v - 2*v. Suppose 5*g - 3*g - 16 = 0. Calculate the smallest common multiple of v and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1473, 4707, 10095, 17637?\n\"Answer: 1077*z**2 + 3*z + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + i + 29. Let f be h(-5). Let x(b) = 78*b**3 - 65*b**2 + 65*b + 65. Let l(o) = -o**3 + o**2 - o - 1. Calculate f*x(q) - 65*l(q).\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 11*h = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -10*t + 35. Calculate n(10).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m - 384 = 47*m - 46*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 4*y + 1\/3*y**3 - 110 - 5\/2*y**2. Determine u(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.247 times 34?\nAnswer: 7760.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205294 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9\/i**10*(i**(3\/4)\/i*i)\/i**36 assuming i is positive.\nAnswer: i**(-145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -70. Let l be 322663\/55 - (x + (-12)\/5). Suppose -6*k = -l - 655. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 - -107. Suppose 4*h = 4*f + 52, -h + x*f = -0*h - 15. Calculate the least common multiple of 30 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -12. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 34.2. Let n = h + 15.2. Which is the biggest value? (a) 1\/4 (b) -0.2 (c) n (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3451351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 209*h + 1993. What is g(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s - 2. Let f be r(4). Suppose z = f + 13. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b - 17. Let s(h) = -3*h + 8. Let x(t) = -3*f(t) - 7*s(t). List the prime factors of x(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 6.2. Let x = y - -0.9. What is the closest to -2\/7 in 0.3, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.495614 centimeters?\nAnswer: 0.00007495614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-8))\/(4 - (-22)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let y be a(3). Suppose y*o = o + 10. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-11) + (-180)\/22. Let f = -12 - u. Put 4, f, -1 in decreasing order.\nAnswer: 4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*1\/(-2) + (-406692)\/189819. Let d = p + -1\/3013. Calculate the common denominator of d and -66\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b6 - 3?\nAnswer: 5b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 - 1231 + 3469 - 1837)*(-f**2 - 4 + 4) to r*f**4 + x*f**2 + o + y*f**3 + l*f and give x.\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -959\/65 + 73\/5. Let i be ((-155)\/(-17) - (-58)\/(-493)) + -4. Sort i, -1, w, -2 in descending order.\nAnswer: i, w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -489 + 57 - 138 - 3*a**3 + 62 + 10*a**2 - 29*a**2 wrt a.\nAnswer: -9*a**2 - 38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 8. Let c = -93 + 155. Suppose 72 = 4*n - s*d, 5*d + c = 4*n - n. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8137 divided by -468\nAnswer: 8137\/468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431878292 to the power of 1\/2, to the nearest integer?\nAnswer: 66572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 96a8a5 (base 12) to base 5\nAnswer: 1102214321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*a**2*y**2*z**2 - 2*a**2*y*z**3 + 2*a*y*z**3 - 184*a*z**3 - 2*a*z + 32503*y**2*z**3 + 527*y*z**3 wrt y.\nAnswer: 28*a**2*z**2 + 65006*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -4*g - 3*u, -2*u - 356 = -5*g - u. Let m = g + -7. What is the highest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - f - 2. Let r be p(2). Suppose -2*d - 5*i = 9, -2*i - 9 = i. What is the remainder when r + (1\/d - 420\/(-9)) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/137886 and -37\/216678.\nAnswer: 1516746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1313177007*i**2 + 105174806*i.\nAnswer: 2626354014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2. Let m(y) = -41603*y**2. Give m(j(o)).\nAnswer: -665648*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*i - 5 + 285*i**4 + 163*i**2 - 287*i**4 - i**3 - 159*i**2 as t*i**2 + a*i**3 + x + w*i + h*i**4 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61287 >= 61287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(35)\/sqrt(5)*-4 + -1)**2 + -1.\nAnswer: 40*sqrt(7) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149*k + 461 - 100 - 155*k - 386*k + 82*k with respect to k.\nAnswer: -608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-9)\/(72\/8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 2*r)*((5 - 3 - 3)*(-2*r + 3*r - 2*r) + 2*r - 4 + 4) + 7*r - 7*r - 2*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmxxmxxmymmxy. Give prob of picking 4 m.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - -13. Let s be (4\/w)\/(6\/(-18)). Sort 4, s, -1 in increasing order.\nAnswer: -1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v - 6*v + 3*v + 16*v. Let g(b) be the third derivative of b**6\/720 - b**4\/24 - b**2. Let c(s) be the second derivative of g(s). Give a(c(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**3 + h**2 - 1. Let d be k(1). Which is the nearest to 4? (a) 0.2 (b) 2\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1172 = -5*g, 3*c + 9*g = 13*g + 1136. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(1\/2))\/v*v)\/v*v)**(9\/5))**(-7) assuming v is positive.\nAnswer: v**(-189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 757015450\nAnswer: -757015450.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m + 282. Suppose 5*u - 66 = m. What is the highest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7494 and 2382.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*m - 56 = -51*m. Let p be 42\/65 - (-3)\/(273\/m). Suppose 4\/5*j**4 - p*j + 4\/5 - 4\/5*j**5 - 8\/5*j**2 + 8\/5*j**3 = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.227641 to three decimal places.\nAnswer: 0.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 + 122. Suppose 27*f + 24 = n*f. What is the highest common divisor of f and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 12334 = 6168. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 216\/324 + ((-16952)\/(-24546))\/(-1). Let q = 369583\/1137298 - y. What is the common denominator of -79\/18 and q?\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 4 (c) -9 (d) 4323 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y + 1569 = 3*w - 35*y, 2*w + y = 1052. Let l(p) = p**3 - 5*p**2 - 4*p + 11. Let f be l(6). What is the highest common divisor of f and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1362, -2504, -3646, -4788, -5930, -7072?\n\"Answer: -1142*r - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 32641224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b = 132. Suppose -4*x + 0 = -b. Calculate the greatest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17.3, 1185, -0.4, -0.3 in decreasing order.\nAnswer: 1185, -0.3, -0.4, -17.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**2 + 2*j + 6. Let x = 9 + -4. Calculate the remainder when b(x) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3\/8 (b) 3\/31 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**2 + 189912*s + 189916 = 0.\nAnswer: -1, 47479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + 53 + -63 + (-5 - (-7 - -41))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + k + 3. Let x(v) = 2*v**2 + 3*v - 3. Let c be (-396)\/(-234) - (-152)\/494. Let t(y) = -3*y**2 - 2*y + 2. Determine c*x(p) + k*t(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = t - 41 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -0.1 (c) 1\/2 (d) -75111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 14. Let s be x(-15). Let m = -1 - s. Suppose -3*t - 49 = -5*b, m = 2*b + 5*t - 13 - 19. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*a = 0, 5*a = -4*f - 24 - 12. Let l(i) = -i - 1. Let q(d) be the first derivative of -5*d**3\/3 + 3*d**2 + 2*d + 103. Determine f*l(b) - q(b).\nAnswer: 5*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(60)\/sqrt(4))\/sqrt(5))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 3*t**3 - 2*t**3 + (4*t**2 + t**2 - 4*t**2)*(-5 - t + 5))*(-5*t**2 + 0*t**2 + 3*t**2).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6835.654 micrograms in nanograms?\nAnswer: 6835654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/93492 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0635524287 to 4 dps.\nAnswer: -0.0636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 - 96*a**2 - 2*a + 46. Let s be n(-32). Suppose 0*p - p = -44. What is the highest common factor of s and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 14\/(-18) - (-1245)\/135. Suppose -3*b + 15 = 0, 0 = n + 2*b - y - 1. Let l(m) = -m**3 - m**2. Give l(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 1 + 1 + (-2 + 3 + 1)*(-2*r**3 + 2*r**3 - 2*r**3) + (-2*r**2 - 1 + 1)*(3 - 3 + r) in the form i*r**3 + h*r + u + a*r**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55, -31, 27, 137, 317, 585, 959?\n\"Answer: 3*a**3 - a**2 + 6*a - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3213*c + 707*c - 988*c = -246288 for c.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 586, 1173, 1760, 2347, 2934, 3521?\n\"Answer: 587*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 9) + -6 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1.6. Suppose -3*u + 4*z = 1, -2*z - z = 4*u + 18. Let x be u\/(-4)*4\/((-2)\/(-1)). Sort 2\/17, c, x in descending order.\nAnswer: x, 2\/17, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + -45. Let o = 51 + t. Let w(r) = -6 - 3*r**2 - 5 + r**3 + 2*r - r**o + 5. Determine w(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 22*h + 6. Let l be v(-20). What is the greatest common divisor of 23 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Suppose 0*g = -2*g + 3*f + 2, 5*g + f = 22. Suppose i = -g*n - n. Put -5, n, -3 in increasing order.\nAnswer: -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16766834 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 10. Let k(n) = 3*n - 8. Let z(j) = -5*k(j) - 4*u(j). Suppose s + 8 = 2*s. Suppose -2*x = -d + s, -3*d = 2*x + 2*x - 4. Calculate z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 277448.\nAnswer: -1\/69362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110120 (base 4) to base 7.\nAnswer: -3542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/((-2)\/6). Suppose -b*o + 18 = -0*o. Let c be (0 - (2 - 2)) + 99. What is the highest common factor of o and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*j = 1660702 - 113200. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69343 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p + 9. Calculate x(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-61)\/13*(-4 - -5) + 5\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/476 and -97\/6.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v + 0*v)*(19*v - 9*v + 23*v)*(103 - 198 + 160).\nAnswer: 4290*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/(-5)*9\/45. Let x = 12\/25 - v. What is the third smallest value in -3\/2, x, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 58. Suppose -z = 5*t - 162. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1650 or -1749?\nAnswer: -1749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1)*k*k)\/k)\/k*k**(-1\/6))**(-24) assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77363 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 9.1, -22, 0, 6, 6\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0 + 0*d + 11\/6*d**5 + 133\/24*d**4 + 108*d**2 + 0*d**3. Find the second derivative of o(t) wrt t.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven halves of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 99. Let g be y(0). Let i be g\/(-44) - (-1)\/4. Let h = -8\/5 - i. Is h bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1464 and 0.1.\nAnswer: -146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4680 divided by 30.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o**2 - 3*o**2 - 12 + 8*o**2 wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5181716?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3*-0.08.\nAnswer: -0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 7*f**2 - 8*f - 5. Let g be u(6). Let x = -37 - g. Let z be (5\/(-10))\/(2\/x). Is z bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -239*r**3 - 25*r**2 - 11*r + 11. Let m(t) = 79*t**3 + 9*t**2 + 4*t - 4. Give 11*m(g) + 4*s(g).\nAnswer: -87*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 2. Let h(l) = -142*l + 9 + 5 + 149*l. Let r(x) = -h(x) - 6*s(x). Calculate r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96960 and 110.\nAnswer: 1066560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5 + 32*w**4 - 192*w**3 + 532*w**2 - 670*w + 300 = 0.\nAnswer: 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662) + sqrt(2662)*-1 + (sqrt(3168)*-3 - sqrt(3168)) + sqrt(22))\/(sqrt(77)\/sqrt(252) + 5*sqrt(55)\/sqrt(5)).\nAnswer: -282*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18658 and 2382.\nAnswer: 22221678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193010 is divided by 242.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z - 29*z + 31*z - 36*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddogdggdogd. What is prob of picking 1 d and 1 g?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1268054637 to the nearest integer?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3895 and 205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-27) + 1\/9)*9. Let u = -0.04 + 0.06. Let t = 0.16 - u. Which is the second smallest value? (a) o (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**3 + 503*k**2 - 70*k + 47. Calculate r(-72).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(-33))\/b))\/(b\/((b\/(b\/(b\/b**28)))\/b)) assuming b is positive.\nAnswer: b**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 5*p**2 + 14*p**2)*(5*p**2 - 16*p + 16*p)*(2 - 2 - 3).\nAnswer: -195*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5\/11 + 16*m**4\/11 + 13*m**3\/11 + 2*m**2\/11 = 0. What is m?\nAnswer: -2, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 23*d. Let b be p(-1). Let t = b - -38. Let v = t + -6. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 117 = -u + i, 5*u - 309 = 3*i. Suppose 6*h - u = -0*h. What are the prime factors of (-282)\/(-7) + h\/(-35)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/7 + 41*n**2\/7 - 981*n\/7 + 4779\/7.\nAnswer: (n - 9)**2*(n + 59)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 + 1.99. Let o = -89 + 88. Is o >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + s - s + (-2*s + s - s)*(4*s - 4*s - 2*s) - s**2 + 0*s + 0*s + s + s**2 - s - 145*s**2 - 1847*s + 1847*s + (s - s - 2*s)*(-2*s + s + 0*s).\nAnswer: -137*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -1. Let y be (1 - 0) + 2 + l. Is (0 - 1)\/(-2 - y) + 260 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100214 (base 5) to base 14\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-640)\/24)\/((-3)\/18). Let b be 4 - ((1 - 1) + 2). What are the prime factors of (b\/(-2) - (0 - 1)) + i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6605456424 + 5?\nAnswer: 6605456432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83406 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -485184.06 rounded to the nearest 1000?\nAnswer: -485000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5933150 (base 10) to base 4\nAnswer: -112220201132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwtwtttttwsttwwtww. Give prob of picking 2 t and 1 w.\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11193 and 63.\nAnswer: 33579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 124024.\nAnswer: -1\/62012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172295 - -172327. Suppose 0 = -2*k + 29 - 13. What is the least common multiple of k and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 9*i = -i + 43, 2*p + 38 = 2*i. Let b(u) = -u**3 - 15*u**2 + u - 5. Determine b(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 6 - 7*g - 2*g - g**3 + 3*g. What is the first derivative of p(w) wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*v**3 - 159*v**3 - 2 - 11*v**4 + 303*v**3 - v in the form t*v**2 + u*v**3 + a*v**4 + h + j*v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 211124 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(84)*-1 + -1*(sqrt(84)*-1 + sqrt(84)))\/(sqrt(432) - (sqrt(432) + -1*sqrt(432)*2)).\nAnswer: -5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/131 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31113683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 11:46 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 147*x - 11. Is t(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4614184 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 9441.702 nanograms in micrograms?\nAnswer: 9.441702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134008596 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -17*j**2 + 71*j - 6. What is the lowest common multiple of d(4) and 948?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 - 80784*f\/7 - 242370\/7.\nAnswer: 2*(f - 40395)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*w**2 + 137*w**2 + 2278*w**3 + 155*w**2 + 280*w**3 - 2*w.\nAnswer: 2558*w**3 + 11*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -88*d**4 - 10*d**3 + 56*d**2\/11 + 8*d\/11 = 0.\nAnswer: -2\/11, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, s: 4, a: 1, b: 1, u: 6, p: 4}. Give prob of picking 1 b, 2 q, and 1 u.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 15*j + 51 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353688*v + 88405*v + 88416*v + 88417*v + 88425*v.\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1431 + -1338. Solve -5*i - r + 73 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 13*i - 183. Suppose -h + 7 = 2, 5*h = w + i. Suppose 0 = -13*z + w*z - 225. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 6 = 0. Suppose 0 = f + w*f - 8. Let l = 16 - f. Solve l = -4*x - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-15))\/((-224)\/(-320)*(-80)\/4970).\nAnswer: -71\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 109302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/30, 2, -222, -0.5?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.6535546 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/32 + (-1)\/(-4). Let x = h + 7. Solve -2*m + x*q + 0*q = 26, -m - 4*q = -13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 224, 157, 88, 17, -56?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58\/18 + (-6)\/27. Let j(w) = -x - w - 8 + 0 + 1. Let k be j(-13). Solve -k*i = 2*v + 25, -3*v - 30 = 4*i - v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2. Let g(k) = 23*k**2 + 11*k - 11. Let i(v) = 6*v**2 + 3*v - 3. Let o(h) = -6*g(h) + 22*i(h). Determine f(o(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1633831 is divided by 261.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(((-23664)\/(-255))\/58 - 497\/320)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 332024558 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from dododdddoodddo?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2 - 38*s + 30. Let r be w(-15). Let l = r + 1112. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 35.767 grams?\nAnswer: 35767000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 13. Suppose 16 - 4 = d*r. Solve 3*q + 6 = u, r*u = -2*u - 4*q - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2182227, -8728860, -19639905, -34915362, -54555231?\n\"Answer: -2182206*d**2 - 15*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34041 by 21.\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l + 1133 = -3*m, 4*m + 569 = l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*m - 35, 0 = 5*a - a - 3*m - 14. Sort -2, a, -4.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 5. Let i be 138\/42 - q\/(-14). Suppose -x + i = -3. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -1\/12*o**4 + 0 + 2\/3*o**3 - 3*o + 1\/2*o**2. Calculate m(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(143\/(-13))*10\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 - (-5 + -7 + 8 + 12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 358 and 368801039.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/15*c - 2\/15*c**5 + 4\/15 - 8\/15*c**2 + 4\/15*c**4 + 4\/15*c**3 = 0. What is c?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2109124\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/5 - 30*r**2 - 3366*r\/5 - 19602\/5 = 0. Calculate r.\nAnswer: -33, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28143 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 1. What is the derivative of 4 + 0 - 1 - g*w wrt w?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -312 + 947\/3. Which is smaller: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -115569.\nAnswer: -115569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o**0))\/o)**(1\/67))**19\/(o*o**(-1\/7)*o\/o**(-1\/3))**(-2\/125) assuming o is positive.\nAnswer: o**(-93586\/175875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*p - 2*u + 5*u, 9 = p + 3*u. What is the remainder when 16 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -462 + 462 + 68*p as y + q*p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7282.79kg in tonnes?\nAnswer: 7.28279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -5, -8 in descending order.\nAnswer: -5, -8, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 176?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10\/91 + -61\/273. Which is the closest to f? (a) 3 (b) -26\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-26))\/(-2 + 14\/8). Let z(u) = u - 4. What is z(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918116.\nAnswer: 2, 37, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {b: 8, q: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k - 4. Let w(o) = -10*o - 21. Let y be w(-4). Suppose 0 = -5*s + y - 4. Suppose -3*x - 18 = -s*d, -3*d + 21 - 3 = 2*x. Give u(d).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v - 56. Let c be t(-14). Suppose 4\/9*a - 2\/9*a**3 + c + 2\/3*a**2 - 2\/3*a**4 - 2\/9*a**5 = 0. What is a?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/2 - 137331*m**2\/8 + 98232435*m\/2 - 24555963\/2.\nAnswer: 3*(m - 5722)**2*(4*m - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:40 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 428 - 141. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 16*u - 28. Let c(o) = -3*o**3 + 4*o**2 + o - 4. Let f be c(6). Let k = -516 - f. Calculate p(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 10*j + 4. Let m be g(7). Let l = -9 - m. What are the prime factors of l*(-3 + 16\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68)\/(-85) - 497\/(-28). Let g be (0 + 1)*218\/10. Let q = v - g. What is the common denominator of q and 57\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5403 - -5402.989063. What is b rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26276 divided by -1?\nAnswer: 26276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 55 + 49. Suppose b*w + 10 = 0, -20 = -q - 0*w + 4*w. Does -3\/260 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = 17. Let s be -3 + 7 - d - -6. Is s at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/20 + s**4\/6 - 7*s**3\/6 + 35*s**2. Let c(b) = 7*b**3 + 5*b - 8. Give -4*c(g) + 5*v(g).\nAnswer: 2*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 m when four letters picked without replacement from mmpmpmpmxpp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**3 + 1788*b**2 + 714*b + 790. Determine v(358).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 2. Let q(y) = -y**2 - 9*y - 10. Let c be q(h). Let t(k) = 7*k**2 + 9*k - 20. Let n be t(c). Round n to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/11 + -38\/33. Which is greater: r or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -35, -63, -91, -113, -123?\n\"Answer: l**3 - 9*l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134616 and 204.\nAnswer: 2288472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9495 divided by 1.\nAnswer: -9495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (912\/9 - 5) + (-3)\/9. Solve 61*l = 85*l - m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.687 - -1.7. Let b = 0.01 - o. What is b rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 95. Let o = g + 30. What is the remainder when o is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - a = 4 - 12, -17 = -2*t - a. Find the second derivative of -11*w + w**2 + t*w + 9*w wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(756)*-6)\/(sqrt(700)*-2 - 4*sqrt(7)*2).\nAnswer: -9*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5 - 2 - 2 - p + 7. Let z(w) = -1. Calculate -2*d(n) + 4*z(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 5*i**3 + i**2\/2 - i. Is v(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x. Let u(f) = -4420 + 4420 + f**2. Calculate u(p(v)).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a\/(a*a\/(((a*a**7\/a*a*a)\/a)\/a*a)*a*a*a))\/a*a**(9\/4)*(a\/(a**(-2\/21)\/a))\/(a\/(a**(-2\/27)*a)) assuming a is positive.\nAnswer: a**(6253\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 2, -3 in increasing order.\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**11*d))*d*d**15)**(15\/2)*(d\/(d\/(d\/((d\/d**(-2\/13)*d)\/d))))\/((d**(-8)\/d)\/d)*(d\/(d*d**(1\/3)\/d))**(2\/93) assuming d is positive.\nAnswer: d**(797434\/3627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 41. Let u be g(17). Let v be 4\/(-18) + 38\/9. Solve -5*a = v*h - a + u, -h - 2*a - 8 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 0*g - 2*g**2 + (12*g + 9*g + 79*g)*(0*g - g + 0*g) + 5 - 5 + g**2 to the form x*g**2 + l + n*g and give x.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 29. Let m = p + 25. Solve 0 = -4*y + m + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + 3 + (-2*sqrt(847))**2 + sqrt(847) - (4 + (sqrt(847) + (sqrt(847) + -1 - sqrt(847)) + 5)*-3).\nAnswer: 44*sqrt(7) + 3395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlrdddxdrdldrdrr. What is prob of picking 1 x and 1 l?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 + -0.2. Let w = -1 - x. Let c = -0.2 + 0.3. Is w greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - (2 + -1 + -2 + -2 - (218 + -228)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951571?\nAnswer: 951571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 25 - (25 + -12 + -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10132020 (base 7) in base 16?\nAnswer: -cf17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1466624 and 93568.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 97 = 13. Let j = t + 78. Let m(z) = -13*z - 1. Let c be m(-1). Calculate the greatest common factor of j and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 171 - 136. Calculate the least common multiple of 30 and b.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - 280\/((-15)\/3). Let z = 55 - 0. Suppose s*w - 192 = z*w. Is w equal to -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3199\nAnswer: -3\/3199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5393?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33740053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j = -12. Suppose 18 = c + j*y - 23, 4*c + 3*y - 137 = 0. What is the greatest common divisor of 48 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:07 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*s**2 + 5*s**2 + 2*s**2 - 2*s**2 - 1 + 1 + (3*s - s + 0*s)*(2*s - 2*s - 2*s) + 0*s**2 - s**2 + 2*s**2 - 5*s**2 + 2*s**2 - 2*s**2.\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10)*(-3600)\/4320)\/(1\/(-76)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 364186549 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107416 and 712094.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3043 and 2?\nAnswer: 3041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = p. Suppose -c = -s - 14003, s + p*s + 4*c + 13988 = 0. Round s to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3149 = 4*j - 3159. Let c(t) = 2*t**3 - 6*t**2 + 6*t - 4. Determine c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-429)\/39*(-8325)\/(-2035)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -3. Let b = 0.6 - -4.4. Let u = -0.157 - 0.043. Put u, i, b in decreasing order.\nAnswer: b, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15120 = -18*p + 347*p - 119*p for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 9*k - 3. Determine t(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:40 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 + 21*w**2 + 21*w + 37. Let h(d) = d**3 + 11*d**2 + 11*d + 18. Let y(l) = 7*h(l) - 3*m(l). Let v be y(-13). Solve -v*x = 1 + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 495*c + 2004. Give d(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7729515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/13, -0.03, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 424 and 6376?\nAnswer: 337928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = i - 14, -3*i + 25 = -5*q + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492584 is divided by 1838?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8925000 to the nearest one hundred thousand.\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 244596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 1. Let x be c(-1). Suppose 0 = -2*b - x*b - 930. Let n = b - -107. Round n to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.9691365 to 1 dp.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 + 3 = 0. Let s(t) = 76*t + 1. Is s(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**5\/20 + 13*o**4\/6 + 4*o**3 - 11*o**2 - o + 31. Let d be f(-25). Solve -2*h = d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = 0, 3*i - 462 - 252 = -5*o. What is the smallest common multiple of 6 and o?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275770 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1053) + -4*sqrt(1053) + 2)**2 + sqrt(1053)) - ((1*sqrt(1053) + -1)**2 + -2))*4 + 2.\nAnswer: -155902 + 1656*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 21458*h**2 - 6 - 21773*h**2 + 4 as k*h**2 + p*h + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -819736 or -819739?\nAnswer: -819736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*a**2 + 0 + 4\/9*a - 2\/9*a**3.\nAnswer: -2*a*(a - 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-479 - -498) + -5 + -1 + 2 + -28.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(-2 + -3*sqrt(833)) + (-2 + sqrt(833) + 1*sqrt(833) + sqrt(833) - (sqrt(833) + 1 + -3)))**2.\nAnswer: 2772*sqrt(17) + 302487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -12) + (-14 - (-16 + 33)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 9*z - 39 = -4*z, 0 = -2*h + z + 43. Calculate the highest common divisor of 418 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 5\/4, -1.3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**3 - 3*k**2 + k. What is j(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466943446 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 30. Let a(m) = 5*m**3 - 2*m**2 - 6*m - 7. Let p(z) = 6*z**3 - 2*z**2 - 7*z - 8. Let v(h) = 5*a(h) - 4*p(h). Give v(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i**2 + 214*i + 824. What is s(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1164)\/2328)\/(-1*((-1)\/18)\/(-1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556*q = 555*q + 83. Calculate the remainder when q is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33341 (base 5) to base 9.\nAnswer: -3186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/7)\/(m*m**(-1\/13)) assuming m is positive.\nAnswer: m**(-45\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u - 2*u**2 - 2*u**3 + 6*u**3 - 3*u**3 as o*u + z + f*u**2 + k*u**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010111011 (base 2) to base 4.\nAnswer: 102323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-8)\/20*(-5)\/2 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 18 = -5*k, 3*q + 5*k - 14 = 10. Suppose i = -2*j - 82, 0*j = 3*i + q*j + 243. What is the common denominator of -113\/14 and 2\/(i\/326) - -3?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -37 - (267 - 248)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 280 - 2528\/9. Let f = 637\/5 + -127. Are a and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -27942, 1 in decreasing order.\nAnswer: 1, 0.3, -27942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78276 and 15.\nAnswer: 391380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 + 1. Let w = -115 - j. Is -29 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = -20*l - 551 + 1409 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3374100 and 48420?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136.63 - 2.37. Let k = m + 139.3. Which is the closest to 1? (a) k (b) -2 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201719533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21947 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + -3 + -8 + (4 - 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 2 + 1 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.0557 (b) 0.1 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4474854*y**4 - 7476846*y**2 wrt y.\nAnswer: -107396496*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 21 = 3. Let v(l) = -2 - l - 2 + 6311*l**2 - 6306*l**2 - 3. Let y(g) = 4*g**2 - g - 6. Let k = -22 - -15. Give k*y(x) + r*v(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.983 and 5.\nAnswer: 2.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {e: 11, y: 7, j: 1}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316890635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -13*y + 2*t - 34, 4*t - 56 = -4*y. Solve 3*w + y = -a, -5*a + 286*w = 282*w + 30 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (-5 + 32 - 12 - -101)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16972 to three decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdqdqqdjdqdjq. Give prob of picking 1 q and 1 d.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.28 + -24.4357. Round w to 3 decimal places.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4158872 divided by 8\nAnswer: -519859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 1149381 in decreasing order.\nAnswer: 1149381, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 2:10 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50429?\nAnswer: 211, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 13*l + 6. What are the prime factors of v(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-16))\/(1\/(6\/3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60329 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: b\"What is the uth term of 80945, 161887, 242829?\n\"Answer: 80942*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + q = -11, -2*q - 41 = -5*w - 1. What are the prime factors of 12\/(-8) - (-189)\/w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4235309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*a**3 - 429*a**3 + 120*a**3 + 331*a**3.\nAnswer: 350*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from tdtcdxdddxdtdddtxtt.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*o + 3)*(-11 - 62 - 20 - 17 - 2 - 1 + 5 + (2 + 0 + 0)*(-3 + 3 - 1)) in the form c + w*o and give w.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + (19 - 26) + 72.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*(-2)\/(-3). Let g(a) = -a. Let w(b) be the third derivative of -2*b**2 - 1\/3*b**4 - 1\/6*b**3 + 1\/60*b**5 + 0*b + 0. Calculate l*w(n) + 6*g(n).\nAnswer: -n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 33*g + 1. Let i(v) = 8*v. Calculate a(i(h)).\nAnswer: 264*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/17)\/y)\/(y*y**(2\/13)*y) assuming y is positive.\nAnswer: y**(-619\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((-1 + -4)\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 32 = -5*i - 2*f, i + 4*f = -9. Sort -11, 2, i in increasing order.\nAnswer: -11, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5))**(-18\/7)*t**32\/(t**27*t) assuming t is positive.\nAnswer: t**(122\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-16)\/18)\/(14\/14)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/56 + (-208)\/7. Let z = -12 - d. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -441, -3762, -12879, -30690, -60093?\n\"Answer: -483*p**3 + 60*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -356.01449 - -356. What is k rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/747 and ((-78)\/156)\/((-20)\/296)?\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1435673 is divided by 2745.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73 or 69?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -94. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**2 + 7*b + 4. Let u(l) = -6*l**3 - 2*l**2 + 3*l. Let v be u(1). Let a(f) = -f**2 - f - 1. Give v*a(z) - i(z).\nAnswer: -2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 155?\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*p - 99799 = -71*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + (sqrt(112)*-2)\/sqrt(4))**2.\nAnswer: 24*sqrt(7) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 17*b**2 - 289*b + 5041. Determine d(17).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + v - 5*v**2)*(-3 - 8 + 5) - 3*v**2 + 0*v**2 + 2*v**2 to the form l*v + q + s*v**2 and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1 + 13*r + 2*r**2 + 24*r**3 - 11*r - 128*r**3. Let d be t(-1). Let f = d + -62. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 2*x + 209*x**3 - 47*x**3 - 86 - 33.\nAnswer: 162*x**3 - 2*x - 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78573488?\nAnswer: 2, 7, 701549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 1 + 0*l + 1\/3*l**3 - l**4 + 0*l**2. What is the third derivative of m(c) wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4878 divided by 1626.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10, 6\/97, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13054 - 3163?\nAnswer: 8781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -704, 17, 0.6, -0.07 in decreasing order.\nAnswer: 17, 0.6, -0.07, -704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from hwhywheguegu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-160160)\/(-349440)*(-4)\/33\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - 13*o + 1334 = 56*o for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - j = -1 + 35, 2*j + 85 = -5*d. Let p = 130 - 652\/5. Which is the closest to p? (a) 0.3 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-99)*594\/(-486).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l - 208 = 0. Suppose -l = -7*n + 102. What is the remainder when 63 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -366*n - 32*n**2 + 366*n + (-1 + 0 + 0)*(n**2 - n**2 - 2*n**2) + (-5*n + 8*n + 4*n)*(3 - 3*n - 3).\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -0.7 (c) -0.2 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -6, 0.1, -0.2, -0.5, 2.\nAnswer: -6, -0.5, -0.2, 0.1, 2, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 23 - 28 + 80 - 33 + 2*i. Suppose 5*n = -2*c + 7*c + 80, -c + 14 = 5*n. Let k(p) = -9*p + 11. Calculate c*t(a) - 4*k(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75549 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5962*z**4 + 4*z**2 - 39 wrt z?\nAnswer: -143088*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231 - -201320233233?\nAnswer: 201320233002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 5)*(4 - 4 + f) + 3*f + 3 - 3 + 3 + f - 3 - 4 + 2*f + 4 - 2*f + 5*f - 4*f + (1 - 2*f - 1)*(1 - 1 + 2).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x - 14. Let c be a(-4). Let o be c - (4 + -7 - -4). What is the units digit of (8 - 14)\/((-2)\/o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17392\/54 + 0 + (-772)\/10422 is divided by 87.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) -3\/5 (c) 416\/5 (d) 4\/7 (e) 13 (f) -5 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzgg when four letters picked without replacement from {g: 2, z: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + (-2 - -1) + 4 + (-197 - -212)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5291046845 to the power of 1\/2, to the nearest integer?\nAnswer: 72740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*j, 31 = r - 5*j + 11. Suppose -m + r*p = -3*m - 6, 4*m + 12 = 3*p. Put -1, m, 3 in descending order.\nAnswer: 3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1078192 by -4.\nAnswer: -269548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, t: 3}. Give prob of picking 1 w and 3 t.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-6))\/((-3)\/4). Suppose -g = -s*g + 10. Suppose -48 + 202 = 11*f. Calculate the least common multiple of g and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6863590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v*v**0*v)\/v*v)\/v)**47)**(1\/47) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67959611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330 - -2230211030?\nAnswer: 2230210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(72) + -1)**2 + 4.\nAnswer: -215 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1331 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11788*l - 4452 = 11629*l for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a century in months?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/8)*h**(2\/13)*h)\/(h\/(h**(-3\/20)*h)*((((h**(-5)*h)\/h)\/h)\/h*h)\/h))**49 assuming h is positive.\nAnswer: h**(207123\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 0*w - 4*w - 2*w. Let y(b) be the first derivative of -b**6\/360 - b**3\/3 + 2. Let i(q) be the third derivative of y(q). Calculate i(v(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, -3, -9, -15?\n\"Answer: -6*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**2 - 3*r**2 + 7*r**2 + r**5 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 8*k**2 + 1. Let d be a(0). Put d, 0.1, -50, -2\/5 in descending order.\nAnswer: d, 0.1, -2\/5, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8187 + 9066.5.\nAnswer: 17253.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*t + 2)*(0 - 2 + 0) + (-1 + 5 - 3)*(-2*t + 4*t + 0*t) + 2*t + 6*t - t as p*t + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*q - 337*q + 693*q - 179 + 179.\nAnswer: -263*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/(t\/(t*t\/t**(5\/7)))))\/t)\/(t\/(t\/t**(-11\/3))))\/(t*t**(1\/7)*t**6) assuming t is positive.\nAnswer: t**(-79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2083, -927, 1001, 3701, 7173, 11417, 16433?\nAnswer: 22221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4260 and 852.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4 + 5 - o**2 + 5 - 8*o. Let x be g(-9). Is x\/4 + (-243)\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5990)\/(-15) + (-16)\/(-24). Let d = m + -149. Calculate the remainder when d is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 = -73. Let k be (x\/(-14) - -1) + (-2284)\/(-7). Suppose k = 3*w - 1. What are the prime factors of w?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(48) - ((sqrt(363) - sqrt(363)*1)**2 - sqrt(3)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 1.61, -173, 3, 0.5, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1034, 1055, 1076, 1097, 1118, 1139?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171 - -243. Calculate the remainder when r is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -195\nAnswer: -1\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a hour in seconds?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.43 and 4.9?\nAnswer: 5.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1214 (base 6) to base 9\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 87*q**3 - 2*q**2 - 3*q - 11. Let s(x) = x**3 + x**2 + x + 1. Let p(t) = n(t) + 2*s(t). Find the second derivative of p(m) wrt m.\nAnswer: 534*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let g = -17\/8190 + -5443\/8190. What is the closest to g in -1, y, 2\/13, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 5. Let h be i(0). Let q be ((-8)\/h)\/(8\/(-20)). Let l(f) = f**3 - 2*f**2 - 2*f + 3. Let o be l(2). Which is greater: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 19*g**4 + 16*g**4 + 84*g**3 - 55*g**4 - 54*g**3 + 16*g**4 to f*g + v*g**4 + s*g**3 + w + l*g**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1683 divided by 99\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + (-3 - 1 - (57 + -65))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 30, 25, 38, -5 in ascending order.\nAnswer: -28, -5, 25, 30, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 - 5*i + 2. Let w be f(3). Let k = 1 + -1. Suppose w = s - k. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x + 0*x - x)*(3 - 2 - 4)*(1 + 9 - 1 + (4 - 2 - 1)*(2 + 0 + 0) - 5 + 5 - 2) to the form j*x + c and give j.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/120 - c**5\/60 + c**4\/8 - c**3\/2 - c**2. What is f(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1372, 1373, 1374?\nAnswer: 1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -232*c**3 - 22488*c**2 + 1554*c + 187. Give j(-97).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202\/11, 3, -3, -4, 0.1 in decreasing order.\nAnswer: 3, 0.1, -3, -4, -202\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7457371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(-28 - (-13450)\/480)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 152\/7. Put k, 0.5, 1 in descending order.\nAnswer: 1, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 8*s**2 + 2*s + 10. Suppose -3*p + a = -4*a + 49, 2*p = -4*a + 4. Calculate o(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9427 - -0.93. What is f rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1549 is divided by 408?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111010111001101101 (base 2) in base 16?\nAnswer: 1bae6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 698961, 698959, 698957, 698955?\n\"Answer: -2*w + 698963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 2*g - g**3 + 4*g + 2*g**2 as q*g + h*g**3 + b + d*g**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78635446, -78635440, -78635430, -78635416?\nAnswer: -78635398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/72*4*((-28)\/(-12))\/(-7)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/(-15*4\/(-40))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.244 + -6.244. Which is the closest to -1? (a) p (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r - 3*r + r)*((r + 0*r + r)*(2 + 1 - 4) - 37*r - 5*r - 20*r)*(-4 + 6 + 1) to the form w + n*r + v*r**2 and give v.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 7*i - 3*i + 12 = 0, -3*t - 5*i = 15. Let g = -1138 - -1135. Which is the closest to t? (a) -4 (b) -3\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*q - 11 - 14, 0 = 4*q - 20. Suppose x*t + 24 = 4*t. Find the first derivative of 14*l**3 - t - 6*l**4 - 14*l**3 wrt l.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 84. Calculate the highest common factor of 4 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/12 and -70\/477.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -9*w + 19. Suppose 4*g = 15 + 5. Put w, g, -4 in descending order.\nAnswer: g, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2436, 3, 21 in decreasing order.\nAnswer: 21, 3, -2436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 5*a + 70, 2152*p - 1077*p - 54 = 1073*p - 4*a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135 + 203?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 9\/2. Let q = 57.4 + -57.1. Let o = 0.13 - -0.37. Which is the third smallest value? (a) x (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 2:49 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 230281 at least as big as 230354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43455264, 43455266, 43455268?\nAnswer: 43455270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 13. Let i(f) = f - 1. Let w(q) = -q**2 + 3*q - 3. Let g = 14 - 8. Let j(x) = g*i(x) - w(x). Calculate j(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 83*h - 6. Let w(p) = -82*p + 5. Calculate 4*t(x) + 5*w(x).\nAnswer: -78*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 85567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120504, -480685, -1080986, -1921407?\nAnswer: -3001948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -355 - -406. Suppose 10*b - 6*b = 316. Let y = b - h. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) -5 (c) 0.05 (d) -3 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.48 + -4.5. Let z = -2.1534 + 2.133394. Let a = s - z. Round a to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 257*p**2*r**5 + 4*p**2*r - 3*p**2 + 34*r**6 - 81*r**2 - 3*r wrt r?\nAnswer: 15420*p**2*r**2 + 4080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*r**2 + 82 - 104 - 123*r**2 - 142*r**2 - 79*r**2.\nAnswer: -508*r**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 26*i - 27*i + 5364, -5*i = 5. Calculate the common denominator of -47\/16 and (-1*12\/70)\/(928\/u).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 5*u + 12. Let m be h(6). What is the greatest common divisor of m and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 351\/(-221) - (-2)\/2. Which is the second biggest value? (a) -1 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1700\/125 + -14 - 66\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c + 21*c - 114 = -26*h, 2*c = h - 55 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -96*v**2 + 3350*v - 48. Give d(35).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*y + 1. Let s be (-1 + y)*6\/(-12). Suppose s = -m + 3*x + 413, x + 1641 = -2*m + 6*m. What is m rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 5 - 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -674, -649, -610, -557?\n\"Answer: 7*z**2 + 4*z - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/79 + 635\/237. Let h be (7 + -105 + -4)*51\/(-30). Let l = -173 + h. Which is the second smallest value? (a) l (b) 1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2339\/4 - -585. Let r = -0.1 + 0.08. Let b = 4.02 + r. What is the nearest to g in -0.3, -1\/12, b?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -120234.\nAnswer: 43\/120234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 3 + 3)*(4*s + 107 - 107)*(-4 + 3*s + 4) + 2*s - 2*s + s**3 to the form d + r*s + o*s**2 + p*s**3 and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b2 - -3?\nAnswer: -3ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(32\/(-157)) - (-1)\/(-4). Suppose x*h + 21 = 32*h. Sort 5, -1, 29, h.\nAnswer: h, -1, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 3*v. Let l(w) be the second derivative of 20*w + 0 + 1\/12*w**4 - 1\/6*w**3 - 1\/2*w**2. Give -j(q) - 2*l(q).\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + -9500)*((-3)\/3)\/1. Let w = -5154 + x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-12) - (-571)\/1065. Let p = -1\/355 + f. Let w be (18\/(-4))\/((-1)\/(-2)). Which is the second smallest value? (a) w (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**3 + 2 - 2 + (-6*v**3 + 255*v - 255*v)*(2 + 1 - 4))*(2 + 0 - 5) + 2*v**3 - 5*v**3 + 4*v**3 to the form j*v**3 + i*v + r*v**2 + c and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-3)*(-1)\/2. Let v be (82 - g) + 3\/(-1). Suppose -2*z + v = 3*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01364112 to 4 decimal places.\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**15*t)\/t*t*t)**(-2\/31))**(3\/2) assuming t is positive.\nAnswer: t**(36\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, 1 y, and 1 o when four letters picked without replacement from {y: 1, o: 1, u: 1, e: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 212, 802, 1786, 3164?\n\"Answer: 197*m**2 - m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*(616\/(-66) + 8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/50963?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from raarirasarsrsaaasr.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1727?\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpoopmdhvpppo. What is prob of picking 1 h, 2 o, and 1 d?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113\/175 + 9\/25. Let r = 1691 + -1695. What is the closest to 12 in q, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -2, 1, 3, -5, -4, -5028.\nAnswer: -5028, -5, -4, -2, 1, 3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25522512 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46157 and 7.\nAnswer: -323099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a**3 + 22*a**2 - 22*a**2 + (2*a - 2*a - a**2)*(-7*a - 3*a + a) to the form g + v*a**3 + r*a + q*a**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*z - 4*z + 2*z)*(18 - 21 - 3*z + z)*(2*z**2 - 6*z**2 + 2*z**2) to the form w*z**4 + q*z + r*z**3 + h + t*z**2 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 + 20 = 0. Let r be -1*(4 + -6) + 0\/x. Is -5 + (r - (-3 - 30)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12\/7)\/((n\/((n\/((n*n*n*n*n**(-2\/5)*n)\/n*n))\/n))\/n))\/(n**(-2\/15)*n*n**(-18\/11)*n) assuming n is positive.\nAnswer: n**(-7559\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 25. Let q = s + -28. Let f = 58 + -67. Sort f, 4, q in decreasing order.\nAnswer: q, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/51)*g**(-1\/10)*g*g**2*(g**(-10)\/g)\/g assuming g is positive.\nAnswer: g**(-4661\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-267)\/39 + 0.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*w + 13. Suppose -o - 42 = -4*c, 2*o - c - w*c = -59. Which is greater: -17 or o?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:26 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 8*z + 2. Let p be v(9). Let a(b) = -25*b. Let s be a(-1). Let g = s - p. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -100*p + 272. What is the hundreds digit of c(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**3\/3 - 189*m**2 + 142*m\/3 = 0.\nAnswer: -142, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -27*o**3 - o**2. Let t = 10685 + -10610. What is the remainder when t is divided by z(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 5:36 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k + 52 = 0. Let z(m) be the first derivative of 3*m**2\/2 - 5*m - 1. Let x be z(6). What is the greatest common divisor of k and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*x - 11*x + 2914*x - 6843 - 23343 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1248262121 to the nearest integer?\nAnswer: 35331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33122340 (base 5) to base 6.\nAnswer: 10043534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*u*v**3 + 187*u - 66*v**3 + 34*v wrt u.\nAnswer: -16*v**3 + 187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16236*n**3 + 11*n**2 - 16*n**2 + 4 - 8118*n**3 + 3594*n**3 + 3*n.\nAnswer: -20760*n**3 - 5*n**2 + 3*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35, -9, 0.1, -2\/5, -0.5, -15\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6464 or 6461?\nAnswer: 6464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 20*a**2 - 15*a - 83. Let k be m(11). Let s(f) = 2*f - 6*f + 14*f - 55. Let i(b) = b - 6. Calculate k*s(d) + 55*i(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 (base 9) in base 12?\nAnswer: 65a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -944 divided by 2.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + 21*w**2 - 20*w - 9. Let l be d(-4). Calculate the greatest common factor of 27 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -14*r**2 + 6*r - 4. Let y(k) = -21*k**2 + 9*k - 6. What is 7*m(s) - 5*y(s)?\nAnswer: 7*s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5\/3 - 514*h**4 + 8392*h**3\/3 + 163264*h**2 - 496640*h\/3 = 0.\nAnswer: -776, -16, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 62512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-5 + 3)) + (-3 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/7 - 230*g**2\/7 - 3026*g\/7 - 2794\/7 = 0. What is g?\nAnswer: -11, -1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110000 - 101?\nAnswer: -10110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72.8 - -68. Let g = -4.7 - z. Sort g, 0.6, -4.\nAnswer: -4, g, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a week in minutes?\nAnswer: 88704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*g + 6*g = 4, 62 = 5*h - g. Let z be 1242\/h + (-2)\/(-4). Calculate the greatest common factor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1235.295 + -0.07.\nAnswer: -1235.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 539 * -1\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 12 - 38 = 2*n, b = -4*n - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*f - 114, f = 2*f + 5*i - 51. Let c = f + -35. Let d be ((-20)\/24 - -1) + c\/(-6). Solve 3*m - 2*m + 5 = d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35114.28 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000036102 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**3\/6 - 21*x**2\/2 - 11*x. Give i(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24857 is divided by 4963.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2.4, 60, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*h**3 - 20*h**3 - 36*h**3 - 17*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 46712.\nAnswer: 5\/46712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00081411297 rounded to five dps?\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/2*(11 - 10). Suppose w*a + 222 = 2*g + 40, 4*g - 338 = -3*a. List the prime factors of g.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 11*g - 455 = -g, -47*j - 10*g + 5*g + 91 = -48*j for j.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 59*c - 51*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a**3 + 117*a - 74*a - 43*a.\nAnswer: 27*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151562 is divided by 14213.\nAnswer: 9432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0 + 14*m + 1\/6*m**3 + 4*m**2. What is the least common multiple of f(-3) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21189*z + 10597*z + 69*z**3 + 10591*z.\nAnswer: 69*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 4 - 3*a**3 + 3*a**3 + 3*a**2 - 2*a**3 in the form n + w*a**2 + t*a + k*a**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 - 602*v**4 - 1 - 2*v**3 + 603*v**4 - 12*v to the form u*v**3 + s*v + f + j*v**2 + w*v**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 1*sqrt(76) + sqrt(76))*2 - sqrt(76) - (sqrt(76) + (sqrt(76) - 2*sqrt(76)) + sqrt(76))*-1)\/((sqrt(400) + -4*sqrt(400))*-4)*-3.\nAnswer: -3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -28710.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1684772557?\nAnswer: 13, 129597889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2*k + 83, -10*k = -2*o - 13*k + 31. Calculate the greatest common divisor of 544 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27261189 divided by 313347\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2288598 and 159393?\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 223\/3048780 and 13\/42.\nAnswer: 3048780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - d - 24, 0 = 2*h - 3*d - 42 - 5. Suppose 5*l = 3*i + h, l = -i - 0*i + 5. Calculate the smallest common multiple of 6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 1.4, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 5:44 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2979\/10923 + (-311)\/11 + 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8628902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319 and 2512763.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 + 5*h + 2. Is 4 a factor of c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/18*(-45)\/(-50)*-10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(847)*-1*1)**2.\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/27)\/(2*(-1)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -2\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31 and 187379.62.\nAnswer: 187348.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1594 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) + 730\/8. Let h = -32 + s. Let g = h + -29. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320299974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1\/418301346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 10*l + 50 = q, -5*q - 3*l = -250. What is the lowest common multiple of 75 and q?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79679122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6209 and 0.05?\nAnswer: 6209.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32200 - 18257. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 200 = w. Let r be (w\/6)\/5*3. Let y be (-4)\/6 - r\/(-15). Solve y*h + 5*x - 2 = h, h + 5*x + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21\/1205360 + -162509469\/1205360. Let p = 1071\/8 + h. Is p at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1487596?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -956461561 - -956456489.97573. Let z = j + 5071. Round z to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {o: 1, l: 1, d: 1, p: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-6)\/(-60)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (4 + -2)) + -15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.41, 0.4, -13\/6?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k - k**2 - 4*k)*(1 - 4 + 1) + 26 - 26 - 4*k**2 + (0*k + k - 3*k)*(5*k + 0*k - 3*k) + 2 + 0 - 3 - 3*k**2 to the form x*k**2 + o*k + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9500353 milliseconds in microseconds?\nAnswer: 950.0353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.350977 millimeters?\nAnswer: 0.4350977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 53*k - 52*k + 9 = 56*k - 159*k, x = -3*k - 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173*h**5 + 64*h**2 - 10*h**2 - 19*h**5 + 145*h**2 wrt h.\nAnswer: 9240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*x + 37*x = 227*x + 3289 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7398.755 and 0.4?\nAnswer: 2959.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/5)\/x**(-1))\/(x**3\/(x\/(x\/(x\/((x**(-1\/8)\/x)\/x)*x))*x))*(x\/x**(-4)*x\/x**5)**(-49) assuming x is positive.\nAnswer: x**(-1811\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*p - 911 = 0, -4*p + 559 = 4*r - 345. Let a = r - 160. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 114 + 96 = -n, h = -5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094398 is divided by 304.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1053 and 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s + 3 = 0. Suppose k - i = 3 - 6, 0 = -4*k + 2*i - 22. Let f be 5\/s + (k - -5). What is the highest common factor of f and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.069 and -1.547.\nAnswer: -0.106743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -955 (base 16) in base 5?\nAnswer: -34024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.6 - -13. Let o = -0.4 - -0.5. Which is the third biggest value? (a) u (b) o (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 30*d - 19*d - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t + 1. Let r(f) = -f**2 + 14*f + 2. Let i be r(4). Suppose i = 6*a - 13*a. Let x(b) = 2*b + 2*b - 621 + 622. Give a*p(n) + 4*x(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 2*w + 4*m = 36, 7125*w - 7127*w - 5*m = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 2:54 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**2)\/m)**(-1\/53))**(-26\/7))**(4\/15) assuming m is positive.\nAnswer: m**(-208\/5565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 1012.\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 4655991.\nAnswer: 51215901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62097 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 11*q + 4. Let i be (12\/(-10))\/(3\/(-20)). Let s be d(i). What is the third derivative of -6*h**2 - 28*h - 7*h**3 + s*h wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 - 4. Which is greater: 11 or j?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 134*q - 58. Let d(t) = -267*t + 113. Let a(k) = -5*b(k) - 2*d(k). What is the hundreds digit of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.04, -3, 6, 1, -47, 0?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1505*0.2.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003825 rounded to seven decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117236357 - -117236356.670000405. Let w = 0.33 + n. Round w to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31183*d**4 + 3*d**2 - 205*d + 17803290 wrt d.\nAnswer: 124732*d**3 + 6*d - 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = 24. Let b be (j + 4 - 1)\/((-1)\/11). Let s(u) = -u**3 + 5*u**2 - u - 1. Let d be s(4). Is d equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.320372939 rounded to five decimal places?\nAnswer: -0.32037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tthttthhthhtt?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 248 = -0*c. Let i = c - 59. Solve x = -i*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111112100022 (base 3) in base 6?\nAnswer: -5413012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 14*m + 1. Suppose -c + a - 47 = 0, 0 = -3*c + 4*c + 4*a + 42. Let r = -44 - c. Let f be (60\/(-8))\/(-5) + r\/(-4). Give u(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - m + 2*m = -461, 3*m = -3*y + 327. Calculate the common denominator of (y\/(-9))\/(44\/(-6)) and -24\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4347 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 28. Suppose 20 = y*p + p. Suppose -5*k + 5*a = -30, -3*a - 26 = -2*k - 3*k. Solve 0 = 3*n + k + p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1142650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + n + 43, 5 = -0*n - n. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 385*w + 2210*w + 2242 + 2229 - 4471 to v*w + q and give v.\nAnswer: 2595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -5.546552536 rounded to two dps?\nAnswer: -5.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + l - 2. Suppose s + 2*i = -0*s - 5, -5*i = 5*s + 10. Let d(y) = -y**2 - y. Let t(c) = s*d(c) + p(c). Differentiate t(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/4 + t**3\/4 - 6*t**2 + 9*t = 0.\nAnswer: -6, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 448025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -14*k + 90. What is the common denominator of -69\/4 and (-178)\/k + (-8)\/5 + 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -72*v**2 - 5331*v - 216. What is b(-74)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-40)\/15)*(1 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 493 + -698. Let p = 795\/4 + n. Find the common denominator of 65\/24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/7 + 1800*m\/7 - 471488\/7 = 0. Calculate m.\nAnswer: -1112, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -9, -18, -31?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 2*r**2 - 2*r**4 + (3*r**2 + 2*r**2 - 3*r**2)*(0*r**2 - 4*r**2 + 2*r**2) + (-4 + 3 - 1)*(r**3 + 2*r**4 - r**3) + 8*r**4 - r**4 + r**4.\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -10*z**3 - 2*z**2 - 22*z - 159. Is u(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -17*q**8\/28 + 5*q**4\/12 - 19*q. What is the third derivative of r(l) wrt l?\nAnswer: -4080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3155 divide 479740669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 19 + x + 3 - 5*x + x. Let y be s(7). Let p(q) = -q**3 - q. Calculate p(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 = -f. Let s(i) = i**2 + 14*i + 12. Let t(w) = -w**2 - 1. Let q(z) = f*t(z) + s(z). Is q(12) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -1, -22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let l = 11\/5 - 2. Let r = -5 + 10. What is the closest to 0 in r, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.114957 rounded to four decimal places?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4\/3 + 140*z**3\/3 - 1292*z**2\/3 + 1156*z\/3.\nAnswer: -4*z*(z - 17)**2*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9 (b) 1 (c) -1\/3 (d) 93 (e) -16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56 - -5?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 20\/(-15) + (-77325789)\/(-9). Suppose -2*h = -4*j + 4359980, 4*h + 128271 = -5*j - v. Round h to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1 + -1 - 1\/((-4)\/256)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 386 (b) -1.8 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/944602379?\nAnswer: -2\/944602379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 8*i + i + (-5 - 9 + 8)*(-4*i + 3*i + 3*i) + (-1 - 3 + 5)*(3*i - 3*i + i) as y*i + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -13.82, -0.2, 12, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:54 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -18*z**3 + 5*z**2 - 2*z - 4. Let d be p(-2). Suppose 157*u = d*u - 875. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4256 and 58912.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nine fourteenths of a week?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/5, 0.4, -1\/6, -3, 16, 0.1 in decreasing order.\nAnswer: 16, 0.4, 0.1, -1\/6, -3, -17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 61173*p - 82. Is j(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - 2*o**2 - 2*o + 1. Let r be b(2). Suppose -2*z = -r*y - 55, 2*z - 7*z = -2*y - 85. What is the smallest common multiple of z and 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -79. Put z, 2, -3 in ascending order.\nAnswer: -3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 3*g**2 - 2*g. Let u(f) be the first derivative of -f**4\/4 - f**3\/3 - 22. Calculate a(j) + 2*u(j).\nAnswer: -4*j**3 + j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 299\/89 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)\/(k*(k\/((k*k**(-10)*k)\/k*k*k))\/k*k))\/(k\/k**1)**(-40) assuming k is positive.\nAnswer: k**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c - 140. Determine d(-14).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -235 in 4, -1\/2, 155, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0815 - 0.1185. Let i(h) = h**3 + 8*h**2 + 6*h - 5. Let d be i(-5). Let n be d\/(-22) + 6\/(-33). What is the nearest to -1\/8 in a, n, 3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -n + 24, 0*y + 5*n - 78 = -3*y. Calculate the remainder when 32 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 9, 0.07, 1933 in ascending order.\nAnswer: -2\/3, 0.07, 9, 1933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*(-2 + sqrt(180) + 1 + sqrt(180))*2)**2.\nAnswer: -1536*sqrt(5) + 46141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-464)\/336*7*3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25543, -25556, -25591, -25660, -25775?\nAnswer: -25948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 359 - 186. Suppose 83 + f = 2*g. Let m be g\/20 + -6 - (-116)\/10. Calculate the highest common divisor of 36 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i - 51 - 5 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -600 (base 16) to base 14.\nAnswer: -7ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 3*n, -3*v - 3*n = v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + p + p)*((-5 + 0 + 9)*(-3 + 5 - 4) + (-2 - 1 + 2)*(2 + 1 + 4) + 1 - 2 + 2) in the form i*p + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11243955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -147 or -149?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2)\/n)**37*(n\/n**11)\/n*n**(-1\/14)\/n*n)**(-2\/19) assuming n is positive.\nAnswer: n**(414\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:44 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3353576 is divided by 10162.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) + -1)*-2 - (1 + -2 + sqrt(931))) + (-2 + sqrt(931) + sqrt(931) + -1 + 3)*2)**2.\nAnswer: 42*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -583*v**6\/5 + v**5\/12 - 13*v**4\/12 + v**3\/3 + 2*v**2 - v + 65. What is the third derivative of a(l) wrt l?\nAnswer: -83952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -16*s + 29. Let g(x) = -3*x + 6. Let v(b) = -2*a(b) + 11*g(b). Let w be v(6). Solve 2*i - 8 = 2*d, w*d + 2 = 4*d + 3*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.022 - -0.198. Let g = 1.085 - q. Let u = 0.037 - g. Round u to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/19 (b) -6 (c) 4 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 4. Suppose k + 4*k + 3*r = 8, 0 = -2*k + r + 1. Let m be 21\/3 - (k - -1). Is j(m) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwvpwpwwvwqepvc. What is prob of picking 1 c, 1 e, and 1 w?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55202458*x - 149314678 wrt x.\nAnswer: -55202458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 - 3*h**2. Let d be (-1 + 4)\/((-2)\/2). Let f(p) = -p**2. Determine d*f(i) + j(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g + 10. Let p(s) = 4*s - 4. Suppose 0 = -4*d - d + 25. Let x(v) = d*j(v) + 12*p(v). What is x(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2, -5607, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2 = -5*y, 22*y = 5*h + 17*y + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(16)*-4)\/(sqrt(968) + sqrt(968)*1 + sqrt(968)) + 5.\nAnswer: 8*sqrt(2)\/33 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -4*w**2 + 130*w - 4619. Determine s(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-36)*2\/7 + 2812\/(-333).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/12 - 2*q**3\/3 + 5*q + 18. Let j(k) be the first derivative of w(k). What is j(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (-20 + 8 - -20) - 9\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(0 + 1 + 0)*(-7021859*i**3 + 532*i**5 - 4*i + 7021859*i**3).\nAnswer: 1596*i**5 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 4, -6764, 3, 5 in descending order.\nAnswer: 10, 5, 4, 3, -3, -6764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/40464 and 73\/20232.\nAnswer: 40464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*a - 51. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24220 (base 8) to base 4\nAnswer: -2202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r**5 + 94137*r**4 + 109911273*r**3 + 9807398067*r**2 + 43646257062*r - 13273527240 = 0. Calculate r.\nAnswer: -2193, -92, -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13)*r**(-13)\/r)\/(r\/(r*r*r\/(r\/(r**(-2\/27)\/r)))*r**(-5)) assuming r is positive.\nAnswer: r**(-596\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**2 + 851548*x = 0?\nAnswer: -212887, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41553 + 18802 = 5*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3696 - 3697. Put z, -2, -23, 0, -5 in increasing order.\nAnswer: -23, -5, -2, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, m: 2, a: 1, n: 4, l: 4, q: 3}. Give prob of sequence anqn.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -5*j**2\/2 - 2. Let l(g) be the third derivative of -11*g**5\/30 - g**2 + 13299. What is x(l(s))?\nAnswer: 110*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 4*v + v - 3)*(5 - 2 - 2 + (-5 + 4 + 0)*(2 - 2 + 4))*(-353 - 235 + 390) in the form n*v + c and give n.\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 769.43 * -45\nAnswer: -34624.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 238 = r. What are the prime factors of r?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 9 + 8*w**3 - w**3.\nAnswer: 7*w**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d + 4. Let u = 5 - d. What is the third derivative of -5*z**6 - u*z**2 + 4*z**6 - 2*z**6 wrt z?\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -30. Is (6\/(-15))\/(3\/z) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -32*m. Let h(p) = -18*p - 134. Give h(t(q)).\nAnswer: 576*q - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/35))\/o**(2\/31))**(-2\/15))**(-6\/17) assuming o is positive.\nAnswer: o**(4308\/92225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -37*y**3 - 4*y**2 + 90*y + 788. Is o(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -70*u. Let t(w) = -160282*w**2 + 3. What is t(i(d))?\nAnswer: -785381800*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10714585 and 505?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-1.129\nAnswer: -0.6774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 13*i**2 + 7*i + 15. List the prime factors of w(-5).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - 23?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (342\/(-90))\/(2\/(-410))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - 2*q + (0 - 2*q + 0)*(3 - 2 - 3) + q + 3*q - 2*q)*(2*q**4 + q**4 - q**4).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**3\/3 - 7*d**2\/2 - 3*d. Suppose -27 = 4*t - 7. What are the prime factors of r(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655218191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + q + 2. Suppose x + 4 - 7 = 0. Suppose 0 = 3*z - y + 30, -x*z = z - 2*y + 42. Let n be (2 + 24\/z)*-3. What is s(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000469 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -1. Suppose 3*o = -4*u + 13, 9 + 8 = 4*u - o. Put b, -0.5, u in decreasing order.\nAnswer: u, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 307*x**2 + 149*x - 45747. Calculate s(307).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0 + 99*z**2 + 0*z**3 + 1\/3*z**4 + 0*z. Let u(a) = -7*a**2. Calculate u(i(p)).\nAnswer: -448*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:31 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/675)\/((-17)\/(-5)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 3 = -r - 5*v, 5*v = -2*r + 95. What is the remainder when 269 is divided by r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*a = 5084, -4*a + 3386 = -514*b + 516*b. What is the greatest common factor of 130 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 419075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 6*p**2 + 4*p + 4. Suppose 0 = -84*v + 106*v - 3256. Let l be v\/114*3 - (-22)\/209. Calculate y(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320168865?\nAnswer: 5, 73, 3616901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 876, 151 in ascending order.\nAnswer: 3, 151, 876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + 2*k**3 + k**3)*(-k + 4*k**2 - 5*k**2 + 0*k**2).\nAnswer: k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1062 and 354.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 23?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:40 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -3*r**7\/140 + r**6\/30 - r**5\/60 + r**3\/3 + 3*r. Let y(z) be the second derivative of s(z). Determine b so that y(b) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 180*z**2 - 2*z + 4. Let t(x) = 10*x - 68. Let h be t(7). Let c be l(h). Suppose -3*j = -5*j - c. What is j rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*i**2 + 208*i wrt i.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1088) + 1 - (-1 + sqrt(2057) - sqrt(51)\/sqrt(48))) + -1)**2.\nAnswer: -55*sqrt(17)\/2 + 2457\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -16. Suppose 5 = 3*n - 1. Suppose -a = 2*i - 3, -n*a - i + 15 = -6*i. Sort -21, a, h in descending order.\nAnswer: a, h, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232 and 22388.\nAnswer: 44776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*a**3 + 31105*a**2 + 25895*a - 5180.\nAnswer: 5*(a + 1)*(a + 1036)*(6*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmm. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 154*m - 1967. What is t(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12.78, 1.39, 3?\nAnswer: 1.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167863 and 239.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y + 131318410 = 486808410. What is y rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from unnuuuuuu.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*s - 25 = -10, m - 4*s = 24. Suppose 1539 = m*c - 9*c. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + -130 - (-15 + -32).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -736, 0.5, 8.7 in descending order.\nAnswer: 8.7, 0.5, -736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**4 + 13*w**2 + 147*w + 97. What is the derivative of a(t) wrt t?\nAnswer: -12*t**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/7 - 212*z**3\/7 - 30974*z**2\/7 + 127160*z\/7 = 0. Calculate z.\nAnswer: -85, 0, 4, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(1100))**2 + sqrt(44)\/(2*sqrt(4)))*4.\nAnswer: 2*sqrt(11) + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -3*y + y + 4, y - 5*k = -6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/117)\/((-4)\/324).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 130747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 15*b = 82. Is 2\/(-8) - b\/(-8) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3232618 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.7 + 33.7. What is the third smallest value in 1\/9, s, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - y + y**2 + (-101*y - 150*y + 195*y)*(-y - y + y).\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 351, 432, 511, 588, 663?\n\"Answer: -k**2 + 84*k + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16379 and 0.5196522.\nAnswer: 16379.5196522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 32 + -60 + 97 - 32.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, -265, -1340, -3449, -6940, -12161, -19460?\nAnswer: -29185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/6)*n**(-1\/5)*n**(-10)\/(n\/(n*n**(1\/2))) assuming n is positive.\nAnswer: n**(-158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-128)\/6*(-15)\/4. Let l be (6\/(-4))\/((-12)\/v). Let i be 6\/21*(l - -4). Solve -i = g + 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83251 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + x = -2*x - 308, -j = -4*x + 96. Round j to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 + 2 + -61 + (-7 - -33)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/416 and -11\/2976?\nAnswer: 38688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o**2 + 4*o**2 - 4*o**2)*(-5 + 0 + 3) - 49*o**2 + 54*o**2 + 4*o - 2*o)*(-2*o**2 - o**2 + 4*o**2).\nAnswer: o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) -148.3 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 4)*(2*i**2 - 3*i**2 - i**2) + (2 - 1 + 1)*(-1 + 1 - 3*i**2) to the form o*i + a*i**2 + t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**4 - 48*g**4 + 15*g**4)*(-1 + 1 + 3)*((7 - 3 - 3)*(-1 + 4 - 4) - 6 + 3 + 0 - 1 - 2 + 4).\nAnswer: 351*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 4 - 3)*(-8*f**2 - 20*f**3 + 8*f**2) - 1 - 2*f**3 + 1)*(-4 + 10 - 1) to the form s*f**2 + r*f**3 + j*f + q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 3*j + 24. Calculate the least common multiple of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/4, -0.6, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 12 + -12 - -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.8 - -4.9. Sort -0.3, 0.04, t, 0.5 in increasing order.\nAnswer: -0.3, 0.04, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377584?\nAnswer: 2, 23599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250 (base 10) to base 14.\nAnswer: 13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwpup. Give prob of picking 1 u and 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1337*d + 1331*d + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -848702, -849056, -849410, -849764, -850118?\n\"Answer: -354*a - 848348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1.7, -2\/7, -1381, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 582297321 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 5. Let p(w) = 3 + 2 - 3 - 3. Let f(k) = l(k) + p(k). What is f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -2 + (-5 - -5))\/2. Suppose -18*t - 4*t + 902 = m. What is the remainder when 198 is divided by t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44144 + -44141. What is the closest to 2\/7 in 4, -0.2, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24290 and 128310.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41379 and 206895?\nAnswer: 206895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3 - 1. Let x be -1 + (0\/3)\/s. Let h be (-2 - x) + 4 + 22. Solve -2*d - 5 = 2*f + 11, 5*d = -2*f - h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m**2 + 6*m + 6. Let p(c) = c**2 - c - 1. Let d = -63 - -64. Let l(z) = d*r(z) + 6*p(z). Let q(n) = -n. What is l(q(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 - -84. Let s = 774 + j. Find the second derivative of -s*x**2 - 9*x + 665*x**2 + 13*x - 38*x wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -228265 and 0.24.\nAnswer: -54783.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krxwxkxxxzkxxr. What is prob of sequence rzwr?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*35.82.\nAnswer: 250.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -67*r**7\/70 - r**6\/30 - 7*r**5\/15 + 5*r**4\/12 - 2*r**2 + 1966. Find the third derivative of u(d) wrt d.\nAnswer: -4824*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -0.5 (c) -3\/19 (d) -3 (e) 1 (f) -0.048\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 180 - 168. Solve r - 4*r = -v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) -1\/4 (c) 1\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, b: 9}. Give prob of picking 4 p.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, -2\/71, -198\/7, 4 in descending order.\nAnswer: 4, -2\/71, -0.4, -1, -198\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3989 divided by -4?\nAnswer: 3989\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -79365 and -4.\nAnswer: 317460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 14*x = -35, 5*x + 12120 = 5*c + 12145 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 252 + -256. Let z(g) = -2*g**3 + 3. Let b(p) = p**3 + 4 - 3*p**3 - p**3. Calculate x*z(m) + 3*b(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/20 and -21\/478.\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11762, -47070, -105918, -188306?\n\"Answer: -11770*r**2 + 2*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**5\/4 - 25*q**4\/2 - 495*q**3\/2 - 2420*q**2 + 2*q + 92. Factor u(a).\nAnswer: -5*(a + 8)*(a + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85.12 * -5.\nAnswer: -425.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Let i(x) = -2*x + 17. Let p be i(6). Sort d, p, -4 in decreasing order.\nAnswer: p, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 89 - 46 = 0. Find the second derivative of -6*f - 131*f**3 + 1213*f**2 - 1213*f**2 + 5 + x*f**3 wrt f.\nAnswer: -696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Let b(i) = 3*i + 4 + 1 - 5. Determine b(g) - 3*n(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894 is divided by 257.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/238)\/(9\/(-7)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 0*y**2 - 5*y**2)*(-15*y + 3*y + 6*y).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w. Let d(b) be the first derivative of 7\/12*b**4 - 5*b + 14 + 0*b**2 + 0*b**3. Let k(v) be the first derivative of d(v). What is i(k(m))?\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h. Let v be d(4). Suppose -3*p + v = 5*n - 46, 0 = 5*n - 2*p - 79. What is the remainder when 66 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) 0 (c) 0.7 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let z(r) = -3*r - 6*r - 8*r + 3*r + 23*r. What is -12*a(l) - z(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 647215659 a multiple of 1723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 122 = 64. Let r be 6\/33 - (-2 - w\/(-33)). Suppose l = -r + 10. Solve 8 + 2 = -l*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -163 != -2128\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = -4. Find the third derivative of u*p**2 + 15*p**3 - 3 + 0 + 3 wrt p.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, 463, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*1*9\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237344022.\nAnswer: 2, 3, 1201, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 16) to base 2.\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {b: 1, p: 9, o: 1, r: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxe when three letters picked without replacement from nnexn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 1 - 1)*(-1 + 1 + 1)*(205 + x + 39 + 173) to j*x + i and give i.\nAnswer: -3336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 5*l + 3*l)*(-5*l**3 + 7*l**3 + 0*l**3) + l**4 - 3*l**4 + l**4.\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*f - 91*f - 455 = 0. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 6)\/((-1)\/(-1)). Suppose i*s - 70 - 8 = 0. What is the remainder when s is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-6)\/108*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 + 147. Let r(z) = -3*z**2 - z + 2. Let m = -4 - -3. Let n(h) = h**2 - h + 1. Let o(w) = m*r(w) - 2*n(w). Determine o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228848 is divided by 5372?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2, 4, 10, 614?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3689.\nAnswer: 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -58263*a**2. Let o(i) = -8*i**2 + 4. Give o(r(k)).\nAnswer: -27156617352*k**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 6*n**2 + n + 4. Let y be p(-6). Let q = 3325\/213 + 4\/71. Let m = q + -229\/15. Which is the closest to m? (a) y (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwy when three letters picked without replacement from yyobybywvvwbyynyv.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 56 + 0*a - a)*(-a**3 + 336*a - 336*a).\nAnswer: a**4 - 25*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (189\/81 + 4\/6)\/1. Let o be ((-21)\/6 + i)*(-2 + 14). Let j(f) = f**3 + 7*f**2 + 8*f - 3. Give j(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-766 + u**2 + 766)*(41*u**2 - 75*u**2 + 38*u**2) as h*u**3 + k*u**4 + j*u + y*u**2 + w and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-5\/4)*q\/(q\/q**0))\/(q**(-2)*(q*q\/(q**1\/q))\/q))\/(q**(-1\/9)*(q*q*q\/(q\/q**(-1\/4)))\/q)**(-3\/37) assuming q is positive.\nAnswer: q**(200\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053345 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252988 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 116295 divided by 5?\nAnswer: 23259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 281102 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 72512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, s: 3, x: 5, j: 4}. Give prob of picking 1 j and 1 o.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h. Let m(b) = -31*b**2 + 668*b. Give m(j(l)).\nAnswer: -2511*l**2 + 6012*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.66237 rounded to one dp?\nAnswer: 49.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 3:56 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*j + 8. Let c be ((204 - j) + 4)*(-8)\/2. Let s = 1209 + c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19716.6647 + -19709. Let t = -0.0453 - z. Let m = t + 8.1. What is m rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5\/15)\/((-2)\/(-114)) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11388 and 32155916.\nAnswer: 3796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 55*c**2 - 3324*c + 1427. Give y(60).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2522*l - 12579. Give p(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12775*r**4 - 12773*r**4 + 20*r**2 + r**2 + 4 wrt r.\nAnswer: 8*r**3 + 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30403061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4\/7 - 6*q**3\/7 - 9*q**2\/7 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -125, -106, -79, -44?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/78 and -37\/10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 2. Let d be z(6). Let x(b) = b**3 - 4*b**2 + 3*b + 1. Calculate x(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 11. Let q be n(11). Suppose -3*k + 1 = -2*k, q = 5*v + k + 14. Let o = 19 + -13. Put o, 0, v in descending order.\nAnswer: o, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = y + 13, 2 - 1 = -3*d + 2*y. Let j be 1*d + (-88)\/(-24). Factor -j*v + 0 - 1\/3*v**2.\nAnswer: -v*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -31*g - 335. Let d be n(-11). Solve -3*x + 14 - 10 = -2*c, -4*c + d = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0059272 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 39. Calculate the highest common factor of 140 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v**2. Let i = 88 + -52. Let f(x) = i - 29*x + 24*x - 36. Calculate f(z(o)).\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-10) + 56\/(-140)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(-1 + (sqrt(1300) + (sqrt(1300) - (sqrt(1300) - sqrt(1300)*-2)*4))**2).\nAnswer: 519996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/7 - 85*u**2\/7 + 2147*u\/7 - 16967\/7 = 0.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, m: 3, l: 1}. What is prob of picking 1 l and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 117. Does 3 divide u(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 132 - 532 = 0. Let c be (l\/(-30))\/((-1)\/(-18)). Let t be 242500*c\/(-6 - -3). What is t rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 332\nAnswer: 6972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3780 divided by 7.\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.1 plus 0.5?\nAnswer: 154.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 146096051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**0*s))*s\/s**(2\/13))\/(s*s*s**0*s)**(-2\/67) assuming s is positive.\nAnswer: s**(1686\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101000001 (base 2) to base 7.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5067257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*v. Solve v = -w + 2 - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, u: 1, r: 3, q: 7, d: 1}. What is prob of sequence qqqd?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36312.42 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 - 8. Let k(g) = 3*g**2 - 5. Let c(w) = 8*k(w) - 5*u(w). Let t(h) = -4*h - 1 - 1 + 4*h - 8*h**2 + 5*h. Let v(x) = 6*c(x) - t(x). What is v(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 27*o**2 - 47*o - 30. Let k be p(25). Let m = 7 + -11. What is the remainder when ((-150)\/k)\/(m\/6) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 340, 699, 1058, 1417, 1776?\nAnswer: 2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/23490 and -131\/1566?\nAnswer: 23490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -186, -419, -746?\nAnswer: -1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1647867 and 44979.\nAnswer: 18126537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -728.699 - -729. Let z = -0.001 + n. Which is the third smallest value? (a) -2\/9 (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364f (base 16) in base 15?\nAnswer: 41bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 17. Suppose -u + 2*w - 12 = 0, -13*u + 14*u + 2 = -3*w. Calculate a(u).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 19*v + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + w - 1. Let u(d) = -3*d**2 + d - 4. Let x(b) = -2*b**2 + b - 5. Let c(h) = -3*u(h) + 2*x(h). Let p(g) = -c(g) - 4*y(g). What is p(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 192*g**2 + 1839*g + 4770.\nAnswer: 3*(g + 5)*(g + 6)*(g + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71*n*y**3 - 10534*n*y - 201*n + y**3 + 1836 wrt y?\nAnswer: -213*n*y**2 - 10534*n + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 10524?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = 57. Let a(z) = -z**2 - 7*z + 4. Calculate the remainder when d is divided by a(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -b406a?\nAnswer: -b4066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 127906293.7\nAnswer: -127906311.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + 40. Let j be (-60)\/i - 4\/(-14). Which is the closest to 2\/3? (a) j (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 222 = -91*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-88)\/3*(-26760)\/80. Let y(x) = x**3 + 8*x**2 - 3*x - 4. Let s be y(-8). Is a\/s - 1*(-2)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3 - 91. List the prime factors of 2001\/12 + (z\/(-8) - -3).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbhh when four letters picked without replacement from hawahwhbhr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from jqjjjqjjjqq?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdzsgdgg. Give prob of sequence dd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u - 9*u**3 + 1 + 6*u + 10*u**3 in the form l*u**2 + c*u + n + s*u**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 11:40 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 31. Suppose -c*p = -9*p + 228. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 5*y**2 - 5*y + 6. Let d be i(6). Suppose 2*v - 92 = 2*o + d, 5*o + 92 = 2*v. Find the second derivative of -v + 2*c**5 + 6*c + 56 wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -3. Let k = 10 - r. List the prime factors of 1\/(2\/12*k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 47\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*g - 953 - 501 + 1040 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87335313269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -50.74+-0.2\nAnswer: -50.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -2 + (-2660)\/(-1342). Let w = g + -76997\/9394. What is the common denominator of 2 + (-3)\/(-20) - -1 and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*f**3 + 6101556*f**2 + 490855391*f.\nAnswer: 120*f + 12203112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0606128 + 2434.\nAnswer: 2433.9393872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48382, -49824, -51266, -52708?\n\"Answer: -1442*i - 46940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 26225?\nAnswer: -26214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196.889 - 183.37. Round h to one dp.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -0.5 (b) 3.98 (c) 1\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3243*z + 1320844 = -11114*z for z.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001609889 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-32))\/(4067\/(-1162)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1394\/(-16)*-78 + (-8)\/(-32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 17, 31, 53, 83?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -283, -2128, -5285, -9754, -15535, -22628, -31033?\n\"Answer: -656*j**2 + 123*j + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -32, 0.\nAnswer: -32, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r. Let v be 1*-3*(-1 + 2). Let k be i(v). Let b = -7 + k. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 460 and -5.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**5\/60 - 6*g**2 - 9*g. Let w(r) = -105*r. Give w(t(p)).\nAnswer: -105*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**3\/4 - 3*q**2\/2 + 3*q - 2. Factor c(v).\nAnswer: 3*(v - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.053 + 6.947. What is the closest to -8 in w, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*r + r. What is the remainder when 32 is divided by (-15)\/10 - 37\/r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (11 - -17) - -20 - (16 + 1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 3*m + 19*m)*(-157 + 48*m - 47*m - 142) to the form f + u*m**2 + i*m and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142897 divided by 43?\nAnswer: -26579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1210 + 1211.662. What is s rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/2, 61210, -3 in ascending order.\nAnswer: -3, 9\/2, 61210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 87241097143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -999*f + 7926. Determine i(8).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 7*m**2 - 56*m + 162. Let a be l(3). What is the greatest common factor of a and 17310?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43115 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 times 5?\nAnswer: 2990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -474 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**23)**48)**(2\/5))**(-50) assuming r is positive.\nAnswer: r**(-22080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 v when four letters picked without replacement from bvbvvbvvbvbvb?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/18)\/((368\/(-198))\/(-184)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/410142 and -73\/28.\nAnswer: 5741988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1347 >= 38778\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310321100313 + -2?\nAnswer: -310321100321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103422314 - 1?\nAnswer: -103422320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 4*c**2 + 2*c**2 - 5*c**2. Let q(z) = 2*z**2. Determine a(q(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.909 + 28.709. Which is the third smallest value? (a) -1\/7 (b) n (c) 180\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93001?\nAnswer: 93001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Solve -q + 5 = -i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442968 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(18)\/sqrt(2)*5)\/(sqrt(3) + sqrt(48)*-1))**2.\nAnswer: -10*sqrt(3)\/3 + 28\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -161*m**2 - 2087*m + 80. Let d be l(-13). Factor -35\/3*o**3 + 10\/3*o**d + 140\/3*o - 40\/3.\nAnswer: -5*(o - 2)*(o + 2)*(7*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2537 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92852.25l in millilitres?\nAnswer: 92852250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 204, -320, -3 in decreasing order.\nAnswer: 204, 1, -3, -4, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 2*i. Suppose -i = 5*u - 63. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23636 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-924)\/(-182) - 2\/((-208)\/(-60)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1652\/78 - 2 - 4. Let n = p - 46\/3. What is the second smallest value in -1\/9, -1\/2, n, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 5*p - 5. Let b(h) = 12 + 2*h + 5*h - 19 + h**3. What is 5*b(w) - 7*m(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v**3 - 9*v**2 - 20*v + 100. Let o be i(11). Suppose -1690 = -x + 4*k - o, -18160 = 2*x + 4*k. Round x to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (11 + -14 - 15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*x**4 - 18*x**2 - x**2 + 3*x**2 - 4*x**4 wrt x?\nAnswer: -384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n\/n**2))\/n)*n)\/n*n**14)\/(n\/((n\/(n\/(n\/(n\/(n*n**(1\/4))))))\/n))**(4\/39) assuming n is positive.\nAnswer: n**(181\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + 4*o. Let j(r) = 4*r**2 - 5*r. Let v(d) = 4*j(d) + 5*y(d). Let c(a) = 2*a + 115. What is v(c(h))?\nAnswer: 4*h**2 + 460*h + 13225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 792\/55 - (-18 + 1476\/90)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighty-seven fifths of a century?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t - 22. Let i = t - -7. What is the highest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9035, -18641, -28831, -39605, -50963?\n\"Answer: -292*c**2 - 8730*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + 7.95. Let z = s + -7.75. Let i = -0.05 - z. Which is the second smallest value? (a) i (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. What is the second derivative of 3*o**s + o**4 - o - 3*o**4 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 16*c**5\/7 + 12*c**4 - 1572*c**3\/7 + 1420*c**2\/7 + 11700*c\/7 = 0.\nAnswer: -13, -9\/4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 45. Let j(f) = -2*f + 22. Let t(u) = u**3 + 19*u**2 - 21*u - 16. Let w be t(-20). Let n(i) = w*b(i) - 7*j(i). Differentiate n(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*34\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 - 748\/36. Let b = 4 + -3. Calculate the smallest common multiple of b and (j\/42)\/((-2)\/36).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*l = -35, 0*o - 2*o = -l - 34. Let c(f) = -9*f + 12*f - 5 + o*f. Is c(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.0196.\nAnswer: -0.00588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -476.1 - 85482835662.\nAnswer: -85482836138.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/70 - 24\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.082 and -783.\nAnswer: 64.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 g, and 1 j when four letters picked without replacement from djgzjjzngjgd?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuaakaukuuaukuuukuu. Give prob of picking 1 a and 1 u.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(2*sqrt(847) + 4 - (sqrt(847) - (sqrt(847) + sqrt(847)*-1) - sqrt(847))*2)**2.\nAnswer: 880*sqrt(7) + 17024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 5*o + 36 = 26*z, -3*o = -12. Solve 2*y - f = -27 + 23, y - z = 5*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 114. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*z + 2)*(2*z - 9*z**2 + 15*z**2 - 2*z**2) + (3*z - z + 9*z)*(43 - 3*z**2 - 43).\nAnswer: -41*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -42, -77, -126, -189?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -49. Let o be 4\/6 - 476\/336. Put o, c, -3, -1 in decreasing order.\nAnswer: c, o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2693195?\nAnswer: 5, 53, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 91175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = -h + 4, -3*h - 3 = -4*p. Let k(r) = 8399*r - 5. Let g be k(h). What is g rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130845154 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 4*m + 3*m)*(3 - 2 + 6) - 16*m + 6*m - 11*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*m - 15, -4*h - 3*m - 3 = -2*m. Suppose -9*a + 29 - 2 = h. Let x(k) = -k + 1. Let l(n) = -4*n + 3. Calculate a*x(s) - l(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1306\/3535 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1135365*p - 265*p**2 - 1135365*p.\nAnswer: -265*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/55 (b) 1 (c) 2 (d) 24 (e) -3 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -9*n - 15. Suppose -n*d - 2*d = 17. Let w(p) = 15*p. Let x(o) = -o. Give d*w(h) - 18*x(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1941, -2831, -3721, -4611, -5501, -6391?\n\"Answer: -890*h - 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4265757 + 0.2\nAnswer: 4265757.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139.8 - -135.8. Which is the third smallest value? (a) h (b) 0.15 (c) 1\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.22614 and -39?\nAnswer: -8.81946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 - (7 + (1 - (9 + -4))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**3 - 157. Let n(d) = -36*d**3 - d**2 + 784. Let w(f) = -2*n(f) - 11*u(f). What is the derivative of w(a) wrt a?\nAnswer: -15*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7092915768 to the power of 1\/2, to the nearest integer?\nAnswer: 84219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10455892 divided by -5227946.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2880243*d**2 - 1440117*d**2 - 1440125*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81036.0078746 + 81036. Round q to 4 decimal places.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290889 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.0112\nAnswer: -0.00224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 + -5.3. Let a = j - -6.8. Which is bigger: a or 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 5. Let n be f(0). Suppose 2*r + 3 = -z, -n*z + 0*r - 15 = r. Let t be -2*(-5)\/(-6)*z. Solve -11 = t*v + 2*w, -w + 6*w - 16 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 8*b**2 + 8*b + 8. Let a be ((-3)\/(-1))\/((-6)\/(-18)). Let j be n(a). Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345667118?\nAnswer: 2, 3, 23, 71, 137341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w + 9. Let t(u) be the first derivative of -5*u**2\/2 + 4*u - 2. Let g(b) = 3*o(b) - 7*t(b). Calculate g(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 l when three letters picked without replacement from jldkllddkmlldklddk?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7 + 5 = 0. Let f(g) = g - 11. Calculate f(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14964 (base 11) to base 9\nAnswer: 31871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {r: 7, q: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvxvvxemqqqd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**2 + 4*j**2 + j**2)*(0 + 6 - 3)*(-2553 + 2553 - 1564*j) to the form p*j**2 + r + o*j + w*j**3 and give w.\nAnswer: -9384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 at least as big as 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 27095723*q**2 + 27095723*q**2 + q**3 + 11*q + 26*q.\nAnswer: -q**3 + 37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 11) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 7. Suppose 0*k + 5*k = 5*p, -w*p = -k - 16. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5015299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-3)*(-477)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 17, i: 1}. What is prob of sequence pp?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h + 0*h + 3*h + (1 - 1 - 1)*(1 + h - 1).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -2261 and -2260 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/3 (b) 0.1 (c) -5 (d) 6 (e) 2 (f) -44.4 (g) -15\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50107679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4 + 1544*f**3\/5 - 1908*f**2\/5 - 14912*f\/5 - 1984 = 0.\nAnswer: -310, -2, -4\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19583\/48945 - -1\/9789. Sort -2, 2\/15, -8, k, 0 in descending order.\nAnswer: 2\/15, 0, k, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*x - 4, 2*i + 5*x = i - 5. Solve -5*f + 0*f + 4*q - 21 = i, 3*f = 5*q - 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Put j, -0.3, -5 in descending order.\nAnswer: j, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770.89 micrograms to nanograms.\nAnswer: 770890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 3:58 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39643 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*(v*v**(-4))\/v*v))\/v*v\/(v*v\/(v**(5\/3)*v)))\/(v**(-4)\/v*(v\/((v*v**(1\/3))\/v))\/v*v))\/((v**2\/v)**48)**(-6) assuming v is positive.\nAnswer: v**296","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 1:55 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 2*i**3\/3 - 43. Let m(b) = -b. Determine x(m(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*m - 1495165 + 1493947 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-19\/4))**45*(q\/q**17)**(-5\/4) assuming q is positive.\nAnswer: q**(1115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -24*g + 2. Let q be o(-3). Which is bigger: q or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11246 - 2?\nAnswer: -11251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 486632742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -13*v**5\/60 + 4*v**3\/3 - 13*v**2. What is the first derivative of s(d) wrt d?\nAnswer: -26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 + 2*r - 6. Let i(x) = -17*x**3 - 9*x + 23. Give 2*i(o) + 9*p(o).\nAnswer: 2*o**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + -5 + sqrt(171)*2 + sqrt(171))**2 + (-3 + (sqrt(171) - (1 + 1*sqrt(171) + sqrt(171))))**2.\nAnswer: -84*sqrt(19) + 1765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzbzzzbzzzzzzzb. What is prob of sequence zbb?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/12 + (-117)\/(-54). Find the second derivative of 7*l**3 - 7*l**4 + o*l - 7*l**3 + 0*l wrt l.\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + 0 - -12 - 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 3) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 422 + 22014?\nAnswer: 22441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 150132509 a multiple of 2351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-6)*(-27)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 662 divide 345887718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*f**2 + 73354*f - 73349*f - 32*f**2 - 4*f**3.\nAnswer: -4*f**3 + 66*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30941833999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197225 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 23daa9 (base 15) to base 4\nAnswer: 12203022231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 = -21*c + 404 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 516, 514, 512, 510, 508, 506?\n\"Answer: -2*q + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -572, -1141, -1706, -2267?\nAnswer: -2824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 a factor of 29936529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + z)*(2*z - 2*z - 3*z)*(-4 + 2 + 4).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*x + x + 6*x - 2)*(3 - 9 + 4 - x - 2*x**2) to s*x**2 + z*x**3 + o*x + p and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 2 - -2*1. Suppose j*w - 15 = -3*w. Suppose i + 1 - w = 0. Solve 3*t + 3 = -i*a, -5*a + 20 - 8 = t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (9 + -13 - (3 - (1 - -15)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**3\/3 - s**2 + 3*s. Let d be w(-5). Is ((-22)\/d)\/(4\/(-208)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11123 and 11687095?\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2. Let h(s) = 80257*s. What is i(h(a))?\nAnswer: -25764744196*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -1, -5, -2\/3 in increasing order.\nAnswer: -5, -1, -2\/3, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*a + 699*a = 41*a - 12665 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153 + 302. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {i: 1, j: 4, s: 2, h: 7, e: 3, u: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) 2\/5 (c) 2\/33 (d) 3 (e) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*l = -221*l + 15. What is the nearest to 0 in 4, l, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**2 - p + 6. Let m(h) = -3 + 1 - 3 + 8*h**2 + h - 2. Let d(z) = -6*m(z) - 7*o(z). Factor d(b).\nAnswer: b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-42)*(1173\/(-136))\/(5\/20)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (116\/(-20))\/(2\/(-10)). Let v = w - 59\/2. Which is smaller: v or -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -30.9, -0.4, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {w: 3, y: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**3 + 4*q**2 + 14*q + 15. Let h(k) = -4*k**3 - 3*k**2 - 16*k - 13. Determine -5*f(w) - 6*h(w).\nAnswer: -w**3 - 2*w**2 + 26*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627 and 924?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y + 2*o, 6*o - o = -3*y + 23. Let v(r) = 1 - 8*r - y. Let s(b) = 2*b**2. Determine s(v(f)).\nAnswer: 128*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.010961\nAnswer: -0.0043844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 743*h**2 - 5*h**3 + 743*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 486*a + 52. Let d(f) = 730*f + 73. Determine -5*d(b) + 7*k(b).\nAnswer: -248*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -107 - -106. Which is smaller: 3\/14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/5439, -1, 2, 0.2.\nAnswer: -1, -2\/7, -2\/5439, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-4 - (-10 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, a: 2, e: 4, u: 2, v: 2, r: 3}. Give prob of picking 1 e, 1 v, 1 r, and 1 g.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2694)\/3592)\/((-2)\/(-48))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 1 + 1)*(-159 + 159 - 15*v)*(v + 3*v + 0*v)*(5 - 2 - 1 + (1 - 4 + 2)*(0 - 1 + 0)).\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1078400, 1078401, 1078402, 1078403?\n\"Answer: o + 1078399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 < 504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*h - 2*g = -19, -5*h - 5*g = -35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5587.801 - 0.04?\nAnswer: -5587.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 p, and 1 o when three letters picked without replacement from ocpgrgggqpqrrrrgc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57555*h**3*w**3 + 1629*h**3*w + 35*h**2 + h*w**3 + 294836*h*w - 3*h wrt h?\nAnswer: 345330*w**3 + 9774*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 + -0.2. Let s = 4 + u. Put -2\/9, -0.5, s in descending order.\nAnswer: s, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 501673575 divided by -1413165.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) -627 (c) 0.3167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10044 and 1114182.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 171, 1401, 4767, 11343, 22203, 38421, 61071, 91227?\n\"Answer: 179*q**3 - 6*q**2 - 5*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39 - (4 - (-6)\/(-2) - 4). Suppose l*x - 43*x = -1361. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -29 and 13360650 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**9\/126 - 7*k**6\/24 - 407*k**5\/30 + 1195*k**2. Find the third derivative of u(i) wrt i.\nAnswer: 480*i**3 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1116\/235 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102547, -102557, -102573, -102595, -102623, -102657, -102697?\nAnswer: -102743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g - 44. Let t be f(6). Suppose -h - 4*q - 2 = -t*h, 5*q + 4 = 3*h. Put 4, h, 10 in increasing order.\nAnswer: h, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154197 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -47199 + 249*b**2 + 47199 in the form o*b + v*b**2 + a and give v.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4492 (b) -2\/7 (c) 2\/11 (d) 4 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2991 + 3999. Round z to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 18*s + 28. Let x(u) = 2*u**2 + 4*u - 4. Suppose -8*d = -15 - 9. Calculate the remainder when g(-12) is divided by x(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40.55 from 0.\nAnswer: -40.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -81*r - 11. Suppose -62 = 5*d - 2*y, 3*d + 14 = -4*y - 18. Let s be q(d). Suppose -s = -3*j + 620. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-379)\/(-379))\/((2\/(-5))\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mykmmkmmkmkmmmkmm.\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s. Suppose 0 = j - s*j. Suppose -4*u + 9*u - 230 = j. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 10)*(1 + 3*z - 1).\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-7\/6)*d)\/(d*d*((d*d*d*d**(1\/6))\/d)\/d*d))\/(d*(d\/((d\/(d**1\/d))\/d))\/d*d)**(4\/5) assuming d is positive.\nAnswer: d**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, -1\/298, -38, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51284.4129us in weeks?\nAnswer: 0.00000008479565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 38, 33, -3, -2 in decreasing order.\nAnswer: 69, 38, 33, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9964 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.374 - 4.234. Let i = -6.76 - x. Round i to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 2\/133 in ascending order.\nAnswer: -2, -1, 2\/133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4928 and 1034.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 29*x + 3194. What is z(-112)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1765083 is divided by 2784.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 2*c**2 - c**2 + c**2 - 3*c + 3*c + (-c + c - 2*c)*(0 - c + 0))*(-8*c**3 + 7*c**3 + 3*c**3).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19777, -19853, -19977, -20149, -20369, -20637?\nAnswer: -20953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25650 = -5*m - 5*p, -19*m + 2*p + 25601 = -14*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/24)\/((-1113)\/84)*(4 - 1)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 63 + -3?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/2? (a) 4 (b) 12 (c) 2\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-234)\/(-7) + (-3)\/(-7)*-1. Suppose l**4 - q*l - 8*l**3 + 11*l**3 - l**2 + 30*l = 0. Calculate l.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - -0.3. Let x = -109\/309 + 2\/103. Which is the closest to x? (a) 0.1 (b) -3\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 70\/(-12) + (-1)\/6. Let f(p) = p**3 + 7*p**2 + 8*p + 13. Let l be f(y). Let q(r) = 20*r + 2. What is the smallest common multiple of q(l) and 26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/4*(-127100)\/(-5125)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c - c - 5*c)*(3*c + 3 - 4*c - 11)*(-2 - 3 + 0) to t + s*c + a*c**2 and give s.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 + 130. Suppose d = -0*d. Suppose d = 2*o - i - 84, -o - z*o - 3*i = -135. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 92721.9 tonnes?\nAnswer: 92721900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -42*d**2. Let g(u) = 7*u. What is g(c(r))?\nAnswer: -294*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 805383486 to the power of 1\/2, to the nearest integer?\nAnswer: 28379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1899988.\nAnswer: 2, 17, 27941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -248*m + 80328. Calculate a(322).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -18 - (-1 + 3 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1872 and 780.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 12:29 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 59 = 53. Let u(g) = q + 2*g - 11 - g. Give u(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/18)\/((-7)\/168*-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-130)\/152 - ((-1215)\/171 - -7). Let i = -5.6 - -9.6. Let v = 0.2 - 0.3. What is the nearest to v in -3, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, -18.\nAnswer: -18, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -1) + (29 - 23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -13 + 2 + 3 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30944 is divided by 2574?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123365, -246721, -370071, -493409, -616729, -740025, -863291?\nAnswer: -986521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/19364972 and -123\/238.\nAnswer: 135554804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**3\/3 - x**2\/2 + 14*x + 2. Suppose 3*v - 3*b + 32 = b, -6*b + 30 = 0. Let p be f(v). Solve -2 - 2 = p*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.113 - 81.217. Let h = 0.062 + 96.938. Let x = c + h. What is x rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/52 + 1834962954\/(-299). Round f to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10194190, -20388400, -30582610, -40776820, -50971030, -61165240?\nAnswer: -71359450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -562.99 + 564.99. Let u = 0.1 - 0.1. Which is the closest to 46? (a) k (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -220*g - 252 - 2*g**3 + 48*g**2 + 106*g + 1276 - 175*g - 95*g = 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6 - h**3 - 5*h**3 + 4*h**3 wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 4*q + q - 8*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2) + sqrt(12)\/(sqrt(12)\/sqrt(2)) + -2*(-1 + sqrt(2)) + -4 + 1)**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1 + 7 = 0. Suppose -t*m = -m. Let o(i) = -i + m*i - i. Let d(r) = -2*r**2. Give o(d(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 1. Let y(a) = -3*a - 1. Let c(k) = -8*v(k) + 5*y(k). Let z be (-2 - -3 - -4)\/(-1). Calculate c(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1. Let a(l) = -l**2 + 3*l + 10. Let z(i) = a(i) + 2*u(i). Suppose -r + 2*r - 6 = 0. What is z(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 1. Let a(u) = -2*u + 6. Calculate -a(f) - 6*g(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*o - 91 = 368*o. Let k be ((-4)\/(-3)*-1)\/(o + -16). Which is the third biggest value? (a) -5 (b) -1 (c) 2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 9 - 8)*(2 + 1 + 4)*(2*v - 4*v - 15*v)*(-5 + 5 + 4*v) to the form u*v + y + t*v**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/19 + 16*r**2\/19 + 66*r\/19.\nAnswer: -2*r*(r - 11)*(r + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2737 - 10905 + 2736 + 2730 + 30*f**2 + 2699.\nAnswer: 30*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 78*y - 776. Determine w(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14114 (base 5) to base 7\nAnswer: 3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 31*p**2 - 26*p + 8. Let z be s(30). Suppose 3*a + 34 = -z. Round a to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*z**4 + 11*z**3 - 14054*z + 34*z**4 + 12*z**2 + 61*z**4 + 28*z**4 + 26*z**4 wrt z.\nAnswer: 36*z**2 + 66*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698578298 divided by 1?\nAnswer: 698578298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 85*p**2 - 57*p - 2500. What is a(86)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, 0, 7 in decreasing order.\nAnswer: 7, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + -100 + 0)*(-11)\/3?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-32)*(-8)\/(-52).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1569317 - -11?\nAnswer: 1569328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 583*k - 2. Let z(q) = 84*q. Determine d(z(i)).\nAnswer: 48972*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65540 and 1.\nAnswer: 65540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*j - 4*j + 14254, -j = -5*i - 14242. What is the highest common divisor of j and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -52.9. Let l = 22.52 - 0.52. Let j = -21 + l. Sort t, j, 2\/19 in ascending order.\nAnswer: t, 2\/19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 22*b**2 + 111*b**2 + 137*b**2 as l*b**2 + f*b + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 - 11*y + 15. Suppose s + 5*n = -7, -n = 3 - 1. Let l be w(s). Let p = -6 - -7. Solve l*u + u = -p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1 (b) -1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 7*a - 55*a - 6*a - 51*a - 1270, 12 = -a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 259049*r. Let f(s) = -2*s. What is f(b(h))?\nAnswer: -518098*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.99 - 0.01. Let g = 7 + k. Let r = -0.08 + -0.02. What is the nearest to 2\/5 in 1, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51654864 rounded to 4 dps?\nAnswer: -0.5165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 2\/7 (b) 5 (c) 3483\/70 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -373 (c) 5 (d) -0.3 (e) -3 (f) -30\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 123?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134051920.\nAnswer: 2, 5, 31, 457279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129707 - 60*z - 129707.\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7214361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1141538.43 + 62569.3\nAnswer: 1204107.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*n**3 + 6*a**2*n + 196*a**2 - 6*a*n**3 - 8*a + 8191*n**3 + n + 5 wrt n.\nAnswer: -18*a**2*n - 36*a*n + 49146*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82484 (base 10) to base 8.\nAnswer: 241064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(sqrt(425)*2*3)**2 + 3.\nAnswer: 30602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93 + -2.1?\nAnswer: -3.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/120 - 4*h**5\/15 + 2*h**4\/3 - 2*h**3 + 4*h**2. What is the remainder when 3 is divided by z(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 17*i + 4 = z, -3*z + 6 = 3*i. Let g = 10 + 26. Let f = 39 - g. Which is the nearest to 2\/9? (a) i (b) 2\/19 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 364*g**2 + 21258*g - 1058. Give f(73).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(4 + (-11)\/2). Let p be n*1 - (10 - 14). Solve -g - p + 3 = 3*q, -3*g = 3*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1760 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11145851*z**4 - z**3 - 573*z + 96206 wrt z.\nAnswer: 133750212*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0 - 32*o**2 + 0*o**7 + 4\/3*o**4 + 17\/168*o**8 + 0*o**6 + 0*o**5 + 0*o + 0*o**3. Find the second derivative of w(x) wrt x.\nAnswer: 680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14*(-2352)\/448. What is the nearest to 4 in -1\/8, -1, 1\/6, m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4*(sqrt(567) + -3*(sqrt(567) + 0 - sqrt(567))) - ((sqrt(567) - (sqrt(567) + (sqrt(567) - (sqrt(567) + -1))))*-2 + sqrt(567) + 2 + -1)))**2.\nAnswer: 720*sqrt(7) + 14239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/197 + 400\/591. Let o = -1\/581 + -331\/581. Which is the nearest to 0? (a) o (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 15. Let p be (15\/(-6) + 1)*v\/12. Let s be (-5)\/1*2\/p. Solve 0*z - 4 = 5*a - z, s*a + 1 = 4*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 193*l**3 + 3*l**2 + 14*l - 14. What is v(1)?\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1 + 9 - 8 - 11*q**2. Let d(s) = -30*s + 10*s + 11*s + s. Give d(z(w)).\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6628\/17 + 390. Let d(g) = g**3 + 52*g**2 - 167*g - 112. Let p be d(-55). Which is the smallest value? (a) z (b) p (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 - 28*r**3.\nAnswer: -2*r**3*(r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 35 - 44\/11. Let h = m + -30. Let w = -55 + 109\/2. Which is bigger: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -801.93919 rounded to 1 decimal place?\nAnswer: -801.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) - 416\/(-24). Let g be (-2)\/10 + a\/15. Solve -2*q - g = 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-30) + (-2)\/(-2). What is the smallest value in -2, l, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2091, 4195, 6301, 8409?\n\"Answer: s**2 + 2101*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l**2 + 26807*l*v**3 - 42*l*v - 3336772*v**3 with respect to l.\nAnswer: -6*l + 26807*v**3 - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 n when three letters picked without replacement from {j: 2, l: 1, n: 1, z: 2, q: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/3 + 31*v**4\/3 + 379*v**3\/3 + 2285*v**2\/3 + 6800*v\/3 + 8000\/3 = 0.\nAnswer: -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 - 49*n**2 + 54*n - 19. What is b(6)?\nAnswer: -811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -159.72 * 0.1\nAnswer: -15.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.106167088 to 3 decimal places.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7 + -3 + (3 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3583.3 - 3583. Sort -0.1, 1\/234, l in increasing order.\nAnswer: -0.1, 1\/234, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.9 - -3.7. What is the closest to a in -0.4, -4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23405 > -23398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*l + 254*l - 11 = -2*u, 2 = 4*l + u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f. Let z(j) = -7*j**2 + 5. Let s(o) be the third derivative of o**5\/15 - o**3\/2 + 6*o**2. Let n(i) = 5*s(i) + 3*z(i). Give n(k(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 197, -5 in descending order.\nAnswer: 197, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9*(w**6\/w)\/w)\/(w**(-1)*w)**28*((w*w*((w\/(w*w**(-1\/5))*w)\/w)\/w)\/w*w\/((w\/w**2)\/w))\/(w**(-1))**17 assuming w is positive.\nAnswer: w**(166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 180?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**5 + 2*j**5 - 6*j**5)*(-3 - 2 + 6) - 27*j + 37*j - 45*j - j**3 + 2*j**5.\nAnswer: j**5 - j**3 - 35*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18640 times -1.137?\nAnswer: -21193.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 279, 277, 275, 273, 271?\n\"Answer: -2*o + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2533 is divided by 254.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 501935 + 2?\nAnswer: 501937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1 - 3 - 3*d + d. Let f be m(2). Let s be ((-33)\/f)\/(1\/2). Solve -1 = -5*i - s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6396 and 572?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 737.6 and -3?\nAnswer: -2212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 2 - (9 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -254974 rounded to the nearest 1000?\nAnswer: -255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-18 - 3) + 6) - 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -16*v - 3. Let l(h) = 114*h**2 + h - 3. Let a be l(v). Suppose i + 71 = a. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmmmmmmymmmm. What is prob of sequence mm?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-3*p - p + 2*p) + (2 + 9 - 4)*(-3 + 3 - p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 1bd8c63?\nAnswer: -1bd8c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((460\/552)\/(5\/(-9)))\/(10\/(-4))*130?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 16. Let b be v(9). Find the third derivative of 4*j**6 + 189015 - 2*j**b + 11*j + 15*j**4 - 189015 wrt j.\nAnswer: 480*j**3 + 360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 53.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00891981295 to 6 dps.\nAnswer: -0.00892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8127.052ml?\nAnswer: 8.127052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 2772*g + 118190. Let n be s(42). Let i = 2\/93 + 164\/1023. Put i, n, 1\/6 in descending order.\nAnswer: n, i, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1883495.4 months in millennia?\nAnswer: 156.95795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (355\/(-24))\/(-71)*(-16)\/((-320)\/36).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/3 + 64\/(-48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 1. Let w(j) = j**2 - 7*j - 7. Let n(y) = w(y) - 6*z(y). Let h(v) = -7*v**2 + 2*v + 3. Let o = 37 - 36. Calculate o*h(q) + 3*n(q).\nAnswer: -4*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378366 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3223 - -3220. Which is the third smallest value? (a) 2 (b) 150\/13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 83334361267 - 83334362486.99999367. Let v = z + 1220. What is v rounded to 7 dps?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981404789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4)\/h**(8\/9)*(h\/(h\/(h**(-1\/8)*h))*h)\/h**5 assuming h is positive.\nAnswer: h**(71\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.3 or 4\/3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 18*y - 4 + 0.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 4:29 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooiroylciooroo. What is prob of picking 2 o and 1 l?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50026370 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.4, -5, 6\/11, 275, 0, 0.5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52133 + 112016. Let w = 86683 - c. Suppose -7*l + w = -5*l. What is l rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evnee. What is prob of sequence eve?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 + 2. Let w = p + 0. Let s = 247 - 250. Which is the nearest to 2? (a) w (b) -1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**3*k + 3*h**3 + 50*h**2 + h*k - 34*h - 2*k - 9 wrt h.\nAnswer: 18*h*k + 18*h + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15805657 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25353 and 4212?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 2. Suppose 29 - 9 = 5*k. Let n be j(k). Suppose n*w - 12 = w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-4 - (2 + -8))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/19)*(a**(8\/3)*a)\/a assuming a is positive.\nAnswer: a**(143\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68bb - -1a?\nAnswer: 6908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 6*g = -7*g - 29, -g - 24 = -4*q. Suppose 3*u - 2652 = -q*h, 0 = 4*u + 5*h - 1282 - 2259. List the prime factors of u.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/3, -0.1, 2\/15, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*c - 150*c - 15 = -3*g, 2*g - 10 = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5)**(-1\/4)\/((k*k\/(k*k**(-4))*k)\/k)**(-1))**(-47) assuming k is positive.\nAnswer: k**(-705\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -528, -4795, -12796, -24531, -40000, -59203, -82140?\nAnswer: -108811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/12 + 4*d**3\/3 - d**2\/2 + 4*d. Let c be z(-8). Are c and -2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1230*c + 29225 + 3985 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36749.6325700185 + 34515211.0674337815. Let v = -34551964 + a. Let b = 3.3 + v. What is b rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/357)\/((6 - 4)*(2 - 1))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 8:53 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31189 * -0.179.\nAnswer: -5582.831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, -14, -124, 13, 3 in ascending order.\nAnswer: -124, -14, -8, -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/8 - 4)\/(234369\/117186 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 19 + (-66 - -56) - 17?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from ddyyydyyhdydh.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/669 (b) 298 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 14*l**3 - l - 3. Let x(a) = -a**3 - 13*a**2 - 24*a + 16. Let y be x(-3). Let r(w) = 5*w**3 - 1. What is y*t(z) + 7*r(z)?\nAnswer: 7*z**3 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 275933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -18*g - 3. Let p be d(3). Let l = -23 - p. Suppose -m - 2 + 16 = 0. Solve m = 4*j + l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3760716 - 67?\nAnswer: -3761005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-2))*p**0*p)**(-2\/7)*((p**0*p*p)\/p)**16*((p**(-3)\/p*p)\/p)\/p**(-2\/9) assuming p is positive.\nAnswer: p**(716\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 5*t - 5. Let j be y(6). Let i be j\/((90\/4)\/(-5)). Let f be (-1)\/(-3) + 2\/(-3). Is i > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 23 = x, 0*x - 10 = 2*x. Suppose o*j = 2*j + 5. What is the units digit of 1\/(12\/10 - j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-21) + 16\/6. Let r(c) = -c + 1. Let z(y) = -18*y - 3. Let f(l) = u*r(l) - z(l). Calculate the remainder when 39 is divided by f(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3234 - 3160 - (2 - -23)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5164 - 830*f**3 + 5164.\nAnswer: -830*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790478 is divided by 241.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -1910697.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.1999089279032 and -18?\nAnswer: 13.8000910720968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -s - 3. Let i = 6 - 4. What is the units digit of 15\/i + 3\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9292 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, d: 5, i: 1, f: 1, v: 4}. Give prob of picking 2 d.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32261 + 72040. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**2 - 1389*q - 693.\nAnswer: -3*(q + 231)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*w = 682 - 13951 + 949 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246460 = 1431*k - 551*k + 1743*k - 70719 for k.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whe when three letters picked without replacement from hxexahehxhhhxhaahwh.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 2*m**5 + 0*m + 9 - 5\/4*m**4 - 5\/6*m**6 + 0*m**2 + 0*m**3. Factor p(k).\nAnswer: -5*k**3*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmzmtqszmq. Give prob of picking 1 t and 2 z.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -64, -157, -290, -463?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*d - 5 = 2, -2*o = -d + 2. Let x = 127 + -260. Let u = 131 + x. Sort o, 4, u in ascending order.\nAnswer: u, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 36*i**2 - 158*i + 101. Let n be q(4). Suppose 4*x + 6 - 22 = 0. Let p be 5\/(-140) + 2\/7. Which is the closest to p? (a) n (b) x (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163989528 by 54663176.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.7.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -70*p + 63. What is g(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 1. Let u be k(0). What is the common denominator of 58\/7 and (-3)\/((-12)\/56 + u)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2\/4)*1. Suppose o + 0*g - 102 = c*g, 8 = 4*g. Suppose 4*k - 110 = o. 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: Divide 90 by -41191.\nAnswer: -90\/41191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27 - 6\/3) + 55\/(-11). Solve -4*u - 25 = 3*k + 2*k, 4*u - 4*k - o = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) + (-875)\/(-15). Let q be (-3)\/(-3) + 4*-6. Let x = q + f. What is the highest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24857.57 to the nearest 10.\nAnswer: 24860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/1571 + 108447\/12568. Find the common denominator of 74\/231 and h.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295612 and 40502?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/145 and -71\/190?\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-2\/13)*h)\/(h**(-3\/2)*h))\/((h\/h**(-1\/2))\/h**(-2\/17))*h\/(h\/h**1)*(h*h\/(h\/h**4))\/h*(h*h**(1\/2))**(-21\/2) assuming h is positive.\nAnswer: h**(-7975\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195290033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 3*p - 2*p**2. Suppose -4*s = s - 10. Let b(o) = o + 3*o**s - o + o**2. What is j(b(t))?\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19547792 and 11776?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -61, -21, 53, 173, 351, 599, 929, 1353?\n\"Answer: 2*m**3 + 5*m**2 + 11*m - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 212)\/(-11 + 45\/5). Find the second derivative of -z*j**2 - 127*j**2 + 70*j + 222*j**2 - 63*j**2 wrt j.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*f**2 + f**5 + f**4 + 275*f**2 - 3*f**3 - 2*f**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 194, 122, 54, -10, -70?\n\"Answer: 2*s**2 - 78*s + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780171772.\nAnswer: 2, 281, 541, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364057.2 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 917 + 18*i**2 + 86*i - 23 - 19*i**2 - 97. Let g(y) = 4*y**2 - 428*y - 3986. Let q(j) = 6*g(j) + 28*o(j). Factor q(k).\nAnswer: -4*(k + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 2\/3 (c) 3 (d) 0 (e) -2 (f) -22\/381 (g) -10\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 5?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48\/(-320))\/(12\/32). Which is the closest to h? (a) -0.4 (b) 1\/60 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 5*j**5\/4 + 23*j**2 - 33*j - 55. Let x(s) be the first derivative of i(s). What is the derivative of x(o) wrt o?\nAnswer: 75*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 13*t + 14. Let s(r) = -2*r**2 - 25*r + 27. Let m(o) = 7*i(o) - 4*s(o). What are the prime factors of m(10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + v - 6. Suppose -v*x = -6*x. Suppose -3*f - 16 = -2*s, x*f = s - 2*f - 9. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 - -163. Let u = g - 26. Let r = u - 27.7. Which is the third biggest value? (a) r (b) 1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 127*p**2 + 2*p + 2. Let b be u(-1). Suppose b = 2*y - 107. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122 + 127. Suppose -4*v = 2*m - 2*v + 16, 2*v + 40 = -i*m. Are -4 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1188\/7 - 6\/(-21). Calculate the greatest common factor of f and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -118*c + 3201. Give w(27).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 50*t**4 - 18444*t**3 - 352514*t**2 + 731964*t + 92880 = 0.\nAnswer: -20, -3\/25, 2, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:09 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/5, -8, -1\/13?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*j - 11. Solve 2*g + g - 1 = -2*h, -2*h + 2 = j*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - (-3 + 2) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-4)\/126*952\/(-544)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-6)\/8)\/((-40)\/192*6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 13*q + 3. Let w be k(-10). Let f be 2\/(-4) + (-9)\/w. Sort 4\/3, f, 0.2 in increasing order.\nAnswer: f, 0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 0. Let w be 6 + (r - -2) + -2. Suppose 5*m = k + 7 - 20, 52 = 4*k - m. Solve -2*i - k = -w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61173093.\nAnswer: 3, 29, 703139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*u - 3. Let n(p) be the third derivative of -p**5\/15 + p**4\/8 - p**3\/3 + 8*p**2. Let f(k) = k**2 - k + 1. Give u*n(d) + 6*f(d).\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107766 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 13)\/(16 + -14) + 6\/10.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (-53)\/(-3))*-3. Suppose -44*d = -m*d - 2946. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-156)\/20 + 13 + 1\/(-5). Suppose -9*v - i*j = -4*v - 73400, -2*j + 14683 = v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(-1 + sqrt(12) + 0 + (sqrt(192) - sqrt(192)*1)) - -6*(sqrt(288)*-1)\/sqrt(6))**2.\nAnswer: -180*sqrt(3) + 2711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, v: 1, a: 2, w: 2, z: 5, k: 1}. Give prob of sequence kz.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6281269.56 to the nearest one hundred.\nAnswer: -6281300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 144\/(-20)*(-35)\/2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -569159*h**2*o**3 + 3*h*o**3 + 1701*h*o**2 - 15*o**3 + 2 wrt h.\nAnswer: -1138318*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 2, k: 4, s: 1, q: 2, h: 5}. What is prob of picking 2 a?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -11, 17.\nAnswer: -11, 17, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 9:02 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-483)\/(-9)))\/((-54)\/(-36)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose 21 = t + d*t. Calculate the least common multiple of t and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(720) + 1 + sqrt(720))**2 - (sqrt(320) + ((sqrt(320) + -1 - sqrt(320))*-5)**2).\nAnswer: 280*sqrt(5) + 2891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534\/(-445)*((-222)\/(-27) + -9)\/(4\/12).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901181.\nAnswer: 211, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 34. Let m be f(7). Let s(d) = -d**2 + 10*d - 11. Let w be s(8). Suppose v + w*b - m = 30, -16 = -4*b. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726020 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1124\/9 or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163.0624 litres to millilitres.\nAnswer: 163062.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 2)\/((-9)\/(-24)). Let f = 6 - p. Suppose -2*h + f = -h + 2*z, 48 = 3*h + 3*z. What is the remainder when 35 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -7, 1 in descending order.\nAnswer: 3, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.076 - -1668399.29?\nAnswer: 1668462.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 15*k**3 - 156*k. Let w(x) = -x**3 + 12*x. Give -27*w(t) - 2*y(t).\nAnswer: -3*t**3 - 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/90*78\/(-2145)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 2*u**3 + u**3)*(-4*u**2 - 2*u**2 + u**2) - 5*u**3 + 5*u**3 + u**5 + (-1 + 1 + 3)*(-2*u**5 + 2*u**5 - 2*u**5).\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 8*k**2 - 8*k - 3. Let m be c(-7). What is the highest common divisor of 68 and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*o + 93 = -48, 4*b - 3*o - 279 = 0. Suppose b = -v + 77. What is the lowest common multiple of v and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541721.\nAnswer: 541721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -467\/565 + 3\/113. Let w = 0.15 + -0.05. Which is the third smallest value? (a) w (b) q (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -95, -442, -1019, -1826, -2863, -4130?\n\"Answer: -115*r**2 - 2*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6892458.3ms in hours?\nAnswer: 1.91457175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6\/4*(-11116)\/(-42) + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14723\/25 - 589. Sort -3.1, n, 3 in decreasing order.\nAnswer: 3, n, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**7\/7 + 48*v**6 + 2490*v**3 + 5619. Find the third derivative of r(s) wrt s.\nAnswer: 120*s**3 + 17280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 217\/135 + -11\/27. Factor 2\/5*i**3 - 6\/5*i**2 - 2\/5 + d*i.\nAnswer: 2*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*10\/(-165)*86\/(-172).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - v - 698, -5*u + 496 + 666 = -2*v. Let g = u + -218. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 348\/(-42) - 4\/(-14). What are the prime factors of (-20)\/(-7)*(-28)\/n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3) + 0 + -5.\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + o = -49, -2*o + 1130 = 5*d + 1195 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 + 1 - (-58 + 48). Solve 128*d - 134*d - 24 = r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 220633000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5824 or 2?\nAnswer: -5824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.1 (b) 5\/3 (c) -0.2 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b**2. Let g(h) = -1962 - 173*h - 330*h + 1962 - 5*h. Determine m(g(u)).\nAnswer: 2322576*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 22 = -5*l, -3*l - 1 = -2*r - 17. Suppose 162\/11 - 196\/11*g**3 + 18*g - 124\/11*g**2 - 38\/11*g**l - 2\/11*g**5 = 0. What is g?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 117, 177?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15776, -31605, -47436, -63269, -79104?\n\"Answer: -t**2 - 15826*t + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 8015*s**3 - 9789*s**3 + 25 + 5168*s**3.\nAnswer: -12636*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + 3*((-3 + sqrt(1088))**2 + sqrt(1088)) - ((-4 + -2*sqrt(1088))**2 + sqrt(1088)).\nAnswer: -1077 - 248*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:38 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 1715?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.3 (b) 4.09 (c) 4.6 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -7. Let d = -19.052 + 18.552. Put 3, d, y in decreasing order.\nAnswer: 3, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/15 + (-3)\/(-5). Suppose 5*c - 59 - 1 = l. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u + u)*(36*u - 164*u - 48*u) + 5*u**2 - 6*u**2 - u**2.\nAnswer: -354*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9862421 is divided by 1921?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*p - 26. Suppose -8 = -3*f + 5*w + p, 0 = f - 4*w - 19. List the prime factors of 36 + -2 + (2 - f).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.346903687 rounded to 3 decimal places?\nAnswer: -1.347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 13 - 99. Suppose 4*y - 336 = 609*i - 613*i, -3*y = 2*i - 255. What is the remainder when y is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {r: 3, h: 1, m: 2, w: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**2 - 12 + 4*z**2 + 61 - 20*z**2.\nAnswer: -2*z**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**4\/24 - 19*u**2. Suppose -3*v + 3 = -2*v. Let p(l) = -v*l**2 + 0*l**2 - 5*l**2. What is p(z(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - r + 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -1\/9, 0.81, 0.3, 9, 0.5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5388115 is divided by 166.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -124, -171, -254, -385, -576?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**(2\/51))*s)\/s)\/(s\/(s**(2\/17)*s)*s))**(-2\/17) assuming s is positive.\nAnswer: s**(86\/867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -2\/9*y**3 + 0 + 1\/45*y**6 - 22*y + 0*y**2 - 1\/6*y**4 + 0*y**5. Factor l(v).\nAnswer: 2*v*(v - 2)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**5\/5 - 22308*s**4\/5 + 201012*s**3\/5 - 469148*s**2\/5 + 424512*s\/5 - 134064\/5 = 0.\nAnswer: -5586, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -42*p**2 + 210*p - 227. Give t(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -6*m**5\/5 + 7*m**2 + 1296*m - 136. What is the first derivative of x(d) wrt d?\nAnswer: -24*d**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(4\/15)*i\/(i\/(i**(-6\/19)\/i)*i) assuming i is positive.\nAnswer: i**(-299\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.307 + -33.307. What is the closest to r in -2, 231\/2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288949?\nAnswer: 17, 23, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by 127.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 15 (b) 4 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/781 + 4712\/10153. Suppose 0 = -4*u - 2*v - 0 - 6, u + 3*v = -9. Suppose u = 5*x - m - 10, 4*x - m = 4 + 5. Which is smaller: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o**3 + 2*o**2 - 1. Suppose -19 = 2*m - 8*d + 3*d, -4*d + 17 = -m. Suppose 5*v + m = -2. Give u(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11*b**2 + 3. Let j(y) = -y**2 + y - 3. Calculate -4*j(f) + t(f).\nAnswer: -7*f**2 - 4*f + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4019.0000008126 + -4019. Round q to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**6\/1080 - t**3 - 2. Let f(a) be the third derivative of k(a). Suppose f(b) = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27730 and 128130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6335.539 millennia in years?\nAnswer: 6335539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, h: 2}. Give prob of picking 3 z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -941*k - 975 = -1136*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.552 - 10.62. Sort d, 0, -1\/2 in increasing order.\nAnswer: -1\/2, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10438.\nAnswer: 2, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150544212, 150544210, 150544208, 150544206?\nAnswer: 150544204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 538883234 to the nearest integer?\nAnswer: 23214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 89292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 14129627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -578 + 578.5. What is the smallest value in k, 1, 84?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/90*174\/4. Let f be (-2)\/(-7) + 444\/63. Let n = f + s. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -17 + -2 + -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2 - (3 - 4)). Solve -d + x = -2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2132200 + -11?\nAnswer: 2132123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 36 + (1 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by (-63)\/(-18)*(-3)\/(6\/(-8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967049243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -91, -207, -431, -799, -1347, -2111, -3127?\nAnswer: -4431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2\/(-3)*3\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 51. Let g = r - 13. Is g greater than 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9127\/20 - 2283\/5. Let d = -12.28 + 0.28. Which is the biggest value? (a) -4 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80559\/3230 + 222\/85. Let y = x - -94\/19. Calculate the common denominator of y and -1 + (-202)\/28 - -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - -2*(sqrt(275) - (0 + sqrt(275)) - sqrt(275))) + 1)**2.\nAnswer: -10*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87867097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**4 - 6675*t**3 + 7077*t**2 + 886263*t - 4253886 = 0.\nAnswer: -2226, -13, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99009, 99008, 99007, 99006, 99005, 99004?\nAnswer: 99003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -167056142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f - 5. Let g(a) = 33 - 62 + 32 + 2*a. Determine -10*g(i) - 6*o(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7326648856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - f - o = 17, 0 = -f + o + 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 416.104ug in nanograms?\nAnswer: 416104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3331557953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136593737*r - 30*r**2 - 136593737*r - 36 to the form q*r + y*r**2 + t and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/558 and -27\/682?\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42368 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-2))\/(2\/(-4)). Suppose s*k - 91 = -16. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (11 - (4 - 2) - (-4 - -8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.76311 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 24*b - 20 = 28*b, 0 = 5*y + b + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6800 and 410635?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -17*o**3 + 2*o**2. Let r(t) = -52*t**3 + 6*t**2. Let x(f) = 2*f**3 - 12*f**2 - 146*f - 5. Let b be x(-6). What is b*j(n) - 2*r(n)?\nAnswer: -15*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7119.\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*k - g, 6*k + 3*g + 5 = 8*k. Let l = -8 + 5. Let p(t) = -7*t**3 - 4*t**2 - 3*t - 3. Let j(n) = -n**3 - n**2 - n - 1. Give k*p(h) + l*j(h).\nAnswer: -4*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3102520, 3102526, 3102532, 3102538, 3102544?\nAnswer: 3102550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 take away 1.19?\nAnswer: -140.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 2*sqrt(320))\/(sqrt(32)\/(sqrt(40)\/sqrt(5))).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usuucsuuunuuuugu. Give prob of sequence gn.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/137 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 4, 1\/3, 2\/1217, 0.3, -0.5, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:32 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {n: 4, m: 2, s: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(32)\/sqrt(4)*-6 - ((-1*sqrt(162))\/sqrt(9))\/(sqrt(81)*2).\nAnswer: -71*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + q**2 + 2*q. Let w be h(2). Let f = 44 + -42. Differentiate 3*v**2 + 2 + w - f*v**2 - 5 wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 - (-7 + -3 + 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7175 - -12154. Suppose -y = -0*d + 4*d - 3991, 5*d - 2*y = k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10177666*q + 202878 wrt q?\nAnswer: 10177666","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (8 - 10 - -2 - (3 - 10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. Let p(y) be the third derivative of -1\/180*y**5 + 0*y - 2*y**2 + 0 + 1\/18*y**3 + o*y**4. Factor p(s).\nAnswer: -(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - 3*z**3 + 12*z - 6*z**2 - 15*z to g + q*z**2 + j*z**3 + s*z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 322242.20636156901586 - 0.01856866901586. Let z = -322391.1878 + v. Let d = z + 149. Round d to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 14. Let v be h(10). Suppose 3*s + 3*f = 7*s - 8, 3*f = -3*s + 27. Suppose -s*u = -4*u - v. What is the greatest common divisor of u and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.4 + -11.1. Let s = -1904\/3531 + -2\/321. What is the second biggest value in s, -2\/7, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 12 - 34)*(3 + 0 + 5)*(-6 + 6 - 4*r).\nAnswer: 256*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.17 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26045 is divided by 5206?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 8991\/98812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/13328 and -29\/51.\nAnswer: 39984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 divided by 125?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-23))**(-2\/5))**50 assuming w is positive.\nAnswer: w**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 - -175. Calculate the highest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 11 = -4*y, y = -0*y - 2*r + 1. Let d be 3 - (y - (0 - -8)). Let w(b) = d + 3 + 3 - b. Calculate w(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.375 + -0.025. Let s = -4.5 - 0.5. Which is the biggest value? (a) 4 (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 4972.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 1. Let p(m) = -18*m**2 - 15*m + 3. Suppose -5 = u - 6*u, -2*r = 5*u - 17. Let g(w) = r*y(w) + p(w). Solve g(d) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*1)*-3 - sqrt(136))\/((sqrt(40)*2)\/sqrt(5)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -26, 2, 1\/3 in decreasing order.\nAnswer: 2, 1\/3, 0.2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-1 + 4 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 25*r**2 + 25*r - 17. What is u(24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11680 + 11680.5. What is the closest to -3\/2 in c, 2\/15, -47?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-12) - (4 - 57\/18)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2*k - 2*c, -21089*c + 21086*c + 15 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5576 and 5119465.\nAnswer: 40955720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 290\/3*f**3 + 320*f**2 + 35\/4*f**4 + 160*f - 4. Determine w, given that v(w) = 0.\nAnswer: -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16454720627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68481\/13760 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -5420443023?\nAnswer: 5420443015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2))\/((m*m**(-1\/6))\/m)*(m**(1\/4))**(-32) assuming m is positive.\nAnswer: m**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t - 15*t - 330 = -66*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*a = 3, -3*u + 0*a = -a - 12. Suppose -j - 580 = -3*h, u*j = 3*h - 99 - 489. What is the greatest common factor of 24 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2001 - -1851. Let q = -0.427369 - -150.429029. Let m = q + h. What is m rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148682129 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18637 is divided by 6210.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 196468523279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 1, -25, -49, -71?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3420 by 285.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/4*((-80)\/(-105))\/((-1992)\/(-28)).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 11. Suppose -3*z = -31 - h. What is the remainder when (-764)\/(-7) - (-16)\/(-112) is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + ((sqrt(475)*-1)**2*6 - (-3 + (-2*sqrt(76) - sqrt(76) - sqrt(76)))**2) + 3.\nAnswer: -48*sqrt(19) + 1626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -2402?\nAnswer: -2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + sqrt(20))*-2*-6)**2.\nAnswer: 576*sqrt(5) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 303 - 301. Suppose -3*y = 4*y + v*y. Factor 4\/3*i**4 + 2\/3*i**2 + y*i + 0 + 2*i**3.\nAnswer: 2*i**2*(i + 1)*(2*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*f, 0 = 2*b - 4*b - 3*f. Let d(h) = h**2 + 13*h + 122. List the prime factors of d(b).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5597351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-10)*315\/1071. Factor y*r**2 - 38\/17*r + 18\/17.\nAnswer: 2*(r - 9)*(2*r - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Suppose 2*x - 3*z = 36, 10*x - h*x = z + 77. What is the remainder when 28 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 10*o - 34560 = 0. Suppose -39*w - o = -48*w. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g. Let n(f) = -6*f**2 - f. Determine n(d(m)).\nAnswer: -54*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1948 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l**2. Let g(t) = -t + 313. Calculate k(g(b)).\nAnswer: 9*b**2 - 5634*b + 881721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5424 and 720.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**7\/35 + 11*a**4\/12 + 167*a**3\/3 - a**2 - 122*a. Differentiate j(o) wrt o.\nAnswer: -24*o**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-20)*((-8)\/4 + 5)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(88\/10)*(-36)\/(-9)*(-812)\/70?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klll when four letters picked without replacement from klllllll?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 245 + -245.3. What is the second biggest value in -1.5, 1\/4, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdggljyjjdtd. Give prob of picking 1 g and 1 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 14, r: 4}. What is prob of picking 3 r?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(72)*5 + 2*2*sqrt(72)*-1)*1)**2.\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - 1. Let l be (3 - d\/(-24))\/(6\/(-16)). What is the third smallest value in 5, -0.2, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-27)\/(-18) + -4). Suppose 0 = -7*k + 8*k - 13. Let f be (6\/(-15))\/(k\/5). Which is the third biggest value? (a) f (b) -1 (c) -5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -4*g**3\/3 - 2. Suppose -4 = -7*w + 10. Let d(h) = 14 + 8*h**w - 14 - 11*h**2. Give a(d(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 561*a - 5033. Determine b(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 44616?\nAnswer: 44616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -26*d + 184. Let v be n(7). Solve f + 2 = 4*y + 11, 3*y - v = -f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00184496 to five dps.\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7276 - -1?\nAnswer: 7277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 519 - -604. What is the remainder when n\/12*2 - (-5)\/(-30) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3292 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2373\/63 + 1843\/291.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 394 - 394.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -889, -890, -893, -898, -905, -914?\nAnswer: -925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0 - 29*s + 31*s - 5 as t + r*s and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/15)*b*b*(((b*b**(-2\/5))\/b*b)\/b)\/b)\/((b*b**(-2\/23))\/(b*b**(-1\/4)*b)) assuming b is positive.\nAnswer: b**(1891\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 703 divided by 6\nAnswer: 703\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1567 + -535. Suppose 6*x = 12*x + c. Let o be x\/(-36) + (-2)\/(-9). Solve 3*i = 4*m + 8, o*i - m - 3*m = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t - 5. Let z(u) = 5*u - 4. Let p be (-4)\/6*(-12)\/(-16)*-6. Determine p*z(l) - 2*f(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40\/3? (a) -4 (b) 3 (c) -1 (d) 29\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*n**4 - 100*n**3 + 100*n**3 + (5*n - n**2 - 5*n)*(3*n**2 + 10*n**2 + 0*n**2) to the form w*n**2 + m*n**4 + b*n + x + z*n**3 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 418 in 0.1, -2\/13, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1997, -16120, -54425, -129002, -251941?\nAnswer: -435332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 708591113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:28 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33000 <= 33006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 4*n - 502. Is n a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xuwx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*j + 4. Suppose 35 = j*n - 25. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39792 smaller than -39761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17636806 + -17636810.79999804. Let p = -4.8 - h. What is p rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657420 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3229\/1330 - 17\/133. What is the common denominator of a and 15\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9424*u - 9373*u = 3929 - 1226 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12522 + 21163. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 14*q**2 + 13*q + 13. Let w be j(13). Suppose -3*s + 5*s - w = t, -s = t - 5. Solve 5*y - 31 = -s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1 + -2*(-3 + 1*(sqrt(1008) - (sqrt(1008) + -2*sqrt(1008)))))*3*-1)**2.\nAnswer: -582372 + 24192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 166 and -760773501974?\nAnswer: 760773502140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 2578\nAnswer: -12890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1872)*2 + (sqrt(1872) - 3*(sqrt(1872) - (sqrt(1872) + -1))) + sqrt(1872))**2.\nAnswer: -672*sqrt(13) + 30001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1345607460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/20)\/((-129)\/215)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016463955 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1320 and -181\/42840.\nAnswer: 471240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003338 to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -29920836.8 to the nearest 10000.\nAnswer: -29920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/209 - 24\/(-11). Suppose -4*v + 3*v - w*n = -53, 0 = -v + 5*n + 67. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -795, -2024, -3713, -5892, -8591, -11840, -15669?\nAnswer: -20108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 + 2423 + -26 + 1 + -9 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or 3863631?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.05 (b) 0 (c) -0.47233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 861419 by -56.\nAnswer: -861419\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*6*sqrt(1539)*-3 + sqrt(1539)*3*5 + sqrt(1539) + sqrt(1539) + sqrt(1539)*-2 + 3)**2.\nAnswer: -3780*sqrt(19) + 16967479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 17 + 10*r**2 - 17.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 619, 7590, 26511, 63358, 124107, 214734?\n\"Answer: 996*p**3 - p**2 + 2*p - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 985033, 985022, 984997, 984952, 984881, 984778, 984637, 984452?\nAnswer: 984217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 943939068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 + 55*o**2 + 7*o - 66. Let t be d(-18). Suppose 0 = 2*k - 5*k + 132. Calculate the highest common factor of k and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 divided by -31?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 161688 = -4*c, -15*v + 12*v = 24. List the prime factors of c.\nAnswer: 2, 7, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*v - 14 = v, -12 = 3*n - 3*v. Let u be n\/4 - 85\/(-20). Let l = 250 - 240. What is the highest common factor of u and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3489436*f. Let w(q) = 2*q - 38. Determine w(c(l)).\nAnswer: -6978872*l - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x**3 - 3 - 70*x**3 - 18*x**3 + 3.\nAnswer: -126*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i + 2274. Let w(j) = -3*j + 1515. Calculate -5*f(k) + 8*w(k).\nAnswer: k + 750","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -1203201554?\nAnswer: -1203201554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 198, 199, 200, 201, 202, 203?\n\"Answer: i + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -36*s + 11. Let u(f) = 31*f + 345. Let x be u(-11). Calculate w(x).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56174 - 56179. Let r = -0.1 + 0.2. Let k = -0.1 + r. What is the second smallest value in j, k, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) - 1*sqrt(7))*-6 - (-3 + sqrt(28) - sqrt(7))) + sqrt(84)\/(sqrt(12) - 1*-3*sqrt(12)))**2.\nAnswer: -9*sqrt(7)\/2 + 207\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39099 + 79108. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = s, 4*s + 29 + 35 = 2*v. Suppose v = -38*r + 346. Sort -3, 0, r.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56307 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2448 divided by -155458\nAnswer: -1224\/77729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 - -1.6. Round i to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 4*y - h - 172, -5*y = -3*h - 442. Let b = 94 - y. Is (-5)\/b*-521*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815729981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -q - 9, 4*p + 5*q - 69 = 0. Solve 8*o = p*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56426 is divided by 55297.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8909888 nanometers?\nAnswer: 0.0000000000008909888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + b7b?\nAnswer: b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1030*c**6 + 19*c**2 - 6 wrt c?\nAnswer: -123600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 9 - 7*f**2 - 5.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -3, 5 in decreasing order.\nAnswer: 5, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 0 + sqrt(500) + 0)**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.11 and -54 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -z + f, -263 = 5*z - f + 16. Let l = z + 141. List the prime factors of l.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52280 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116282 and 13462?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55625 (base 8) in base 9?\nAnswer: -35140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + sqrt(325)*2 + -1)**2 + 3.\nAnswer: -30*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185 + 153. Let s = 30.944 + q. Round s to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/5)\/(8\/20). Suppose b*s = 42*s - 120. Sort -2, s, -4 in decreasing order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844 - 0*(-1)\/4.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67569934 and 289.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1116988 divided by -558494.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16594, -16598, -16610, -16636, -16682, -16754, -16858?\n\"Answer: -y**3 + 2*y**2 - 3*y - 16592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -37 + 115. Suppose 4194 = z*m - 24*m. Let s = m + -1220. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*w**4 + 454*w**3 - 454*w**3 + (-2*w**2 - w + w)*(w**2 - 11 + 11).\nAnswer: -38*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -578, -1286, -2274, -3542, -5090?\nAnswer: -6918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -1057*h**6\/30 - h**5\/20 - 1062*h**4 + 6*h - 609. What is the third derivative of b(g) wrt g?\nAnswer: -25368*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1179293044.3 and 0.3.\nAnswer: 1179293044.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 7*w**2 - 20*w - 11. Let v be k(-9). Suppose -c = -v*c + 450000. Round c to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3562\/7 or -509?\nAnswer: -3562\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + l + (-3 + 18 + 0)*(-22 + 13 - 29)*(4*l + 0*l - 3*l).\nAnswer: -569*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(750)\/sqrt(10).\nAnswer: 5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -496509.5709 to the nearest one thousand.\nAnswer: -497000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1191*n + 1120 = 1196*n. Calculate the greatest common factor of n and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 722*l + 11634. Calculate p(-16).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (210\/55 - 4) + (-2322)\/(-66). Calculate the greatest common divisor of r and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019 minus -5572690.2?\nAnswer: 5572690.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 5*m + 4. Let a(j) = -3*j - 4 + 2 + 2*j. Let n be a(3). Give z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61810 - -9761\nAnswer: -52049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14258 - -0.05742. Which is the second smallest value? (a) o (b) 1\/7 (c) -911 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 109*s + 21*s**2 - 109*s)*(-2 + 5*s**2 + 2).\nAnswer: 105*s**4 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -2*x + 0 + 1\/12*x**4 + 0*x**2 + 0*x**3. Let s(b) = -10*b - 49 + 49. Calculate s(f(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 4*u + 8. Let d be n(2). Let c(b) = b**3 - 28*b**2 + 13*b**2 - d*b + 13*b**2. Determine c(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.64 rounded to 1 dp?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apf when three letters picked without replacement from {p: 1, l: 11, g: 5, a: 1, f: 2}.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 347*x - 1239. Is y(7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -579579 divided by -7\nAnswer: 82797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**3 + 4*t**3 - 5*t**3.\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7102 + 851 = -329*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 5. What is c(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266*l**4 + 1044*l**2.\nAnswer: -6384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/22)\/(1\/(-24)). Let t = 5 - d. Let y = 12 + t. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 182*w**5 - 7 - 96*w**5 + 9 - 78*w**2 wrt w?\nAnswer: -16680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*v + 107 = 4*v, q - 37 = 5*v. Suppose 0 = 374*y - 370*y - 416. Suppose 13*n - q = y. Calculate the greatest common factor of 30 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*m**6 - 379*m**5 + 15*m**4 - 17*m**6 + 539*m**2 + 379*m**5 wrt m.\nAnswer: 720*m**3 + 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5851 - -5.\nAnswer: -5846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1)*i)**(-1\/7)\/(i**0\/i)**(-1\/13))**(-32) assuming i is positive.\nAnswer: i**(640\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 - 4*y**3 + 0*y**2)*(-196 + 87 - 86 - 306) as c*y + v + m*y**3 + w*y**2 and give m.\nAnswer: 2004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -10*j + 71, -2855*q + 2850*q = -2*j + 19 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 383798180 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**3 + 2*c**2 - c - 2. Suppose 5*m - 10 = -0*m. Let g be s(m). Suppose g - 14 = h. What is the greatest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 16*g + 4. Let a(p) = -p**2 + 9*p + 8. Let h = -75 - -83. Let y be a(h). Let k be b(y). Solve -2*v - k = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 37 - (3 + -3)\/(-2*(-1)\/(-1)). Calculate the highest common divisor of v and 5513.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 - 69*j**2 + 263*j - 86. Determine f(7).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 87, 181, 311, 477, 679?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 10:02 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-9))**(-31)*((((a*(a**(2\/95)*a)\/a)\/a)\/a)\/a)\/(a**(-1\/5)*a*a) assuming a is positive.\nAnswer: a**(20256\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 15) in base 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**6\/12 - 83*r**5\/12 - 575*r**4\/3 - 1000*r**3 + 43*r**2. Solve h(q) = 0 for q.\nAnswer: -20, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 + -3.91. What is the biggest value in 0.2, 3\/2, q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 611*c**5 - 6*c**4*o + 2*c*o - 5*c + 52*o - 1 wrt c?\nAnswer: 12220*c**3 - 72*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 7. Let a be b(-9). Suppose 0*r - 5*r + a = 0. Suppose -5 = -j - 1. Sort j, r, -1.\nAnswer: -1, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnqaaqnnqqqqqnq. Give prob of sequence anq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6 + 0 + x**2 + 4*x - 7 + 17. Let t be k(-4). Put -9, -2, t, -3 in ascending order.\nAnswer: -9, -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21984, -43813, -65396, -86727, -107800?\nAnswer: -128609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 7. Let y be x(-3). Solve 12 - y = -3*v - 4*p, 4*v = -3*p - 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 315.28 and 4204?\nAnswer: 3888.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/270*(-79560)\/272?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 9. Let h(s) = 5*s - 5. Let o(k) = 2*k - 3. Let t(y) = -4*h(y) + 9*o(y). Let i be t(-5). Calculate the highest common divisor of x and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-27)\/(-5 + 2). Let h(s) = -s**2 + 10*s + 28. Let b be h(j). Solve -f + 6*f - 5 = o, -b*o - 20 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98863\/7 or -14123?\nAnswer: -98863\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(-m - 4 + 4).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121225725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 13*n - 18. What is the lowest common multiple of n and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a centimeter in millimeters?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*d - d, j = 2*d + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2147*a + 2146*a - 4277*a = 368 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a factor of 2329762110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g + 122. Let p be k(-24). Suppose p*i = -6*i + 3656. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 2*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a. Let i(v) = -32*v + 8*v - v. Determine i(t(q)).\nAnswer: -175*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times 0.0109?\nAnswer: -0.3597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 6:50 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + p + 2. Let k(y) be the third derivative of -y**5\/30 + y**4\/12 + y**3\/2 + 21*y**2. Let m = 2 - 4. What is m*k(v) + 3*t(v)?\nAnswer: -2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 24)*(-13 - -17). Calculate the highest common divisor of 240 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 20524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123.5 - -103. Let u = m - -20.49999826. What is u rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/222 and 1\/24?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -9. Let v = 9 - 14. Let d = c + v. Is d smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - h**2 + 4 + 1 + 2*h**4 - 16*h to v*h + x*h**2 + o*h**3 + a + b*h**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-108)\/(-2) - -3) + 3. Suppose 4*l = -3*g + 26 + f, -4*g + 100 = -2*l. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**18)\/g)**(-9\/7))**(9\/2))**(-6\/5) assuming g is positive.\nAnswer: g**(-4374\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (32 - -8) + -67\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 44, 67, 94, 125, 160?\n\"Answer: 2*y**2 + 13*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*-2 + 1)*(11 - 13). Let u(p) be the third derivative of p**6\/120 - p**5\/30 + p**4\/6 - p**3\/2 + p**2. Let q be u(b). Are 5 and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - s + 32 = 3*s, -2*s + 6 = 0. Let i(t) = -t + 3. Let b(k) = 5*k - 8. Let l(r) = 4*r - 7. Let o(d) = 2*b(d) - 3*l(d). Determine w*o(h) + 8*i(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 7. Let k be n(5). Which is smaller: 13\/5 or k?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 - 6*z - 1. Let l be (5\/20)\/((-2)\/(-8)). Let h(q) = -q**3 + q**2 + q. Let p(x) = l*g(x) + 6*h(x). Give p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 - r + 1. Let y(b) = -2*b**2 - 142*b - 280. Let v be y(-69). Let p(t) = t - 1. Give v*p(l) - 4*i(l).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8897023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 883889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8) + 9 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 12. What is the smallest common multiple of 21 and d?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217 by 19.\nAnswer: -217\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -10. Let t(x) be the first derivative of x**6\/360 + x**5\/120 - x**4\/6 + 2*x**3 + 3. Let r(c) be the third derivative of t(c). Give r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 5*v - 26, 3*v - 10 = -2*s + s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*q**3*u**4 + 19*l*q**3*u + 8*l*q**3 wrt u.\nAnswer: -8*l*q**3*u**3 + 19*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 19*n - 53 = -3*w, -5*w + w = 20 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 3*o + 14. Suppose 2 = -m + 7. Let h be c(m). Solve u = -u - h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 + 105. Let v = -47 + 49. Suppose 4*h + 3*b - 43 = 0, v*h = -0*h - 2*b + 20. Calculate the highest common divisor of h and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*b*i**4 + 3*b*i**3 + 216*b*i - 3*i**4 wrt i?\nAnswer: 240*b*i**2 + 18*b*i - 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 3*(3 - 5 - -3). Let i be 2 + 2 - (-3 - 168\/(-27)). Which is the third biggest value? (a) v (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/11 - 186\/(-66). Suppose 0 = k - h - 3. Solve 0*t + k = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*c*p**2*w - c*p*w**2 + p**2*w**2 - 7*p**2 + 2*p*w**2 wrt c?\nAnswer: -32*p**2*w - p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 10:12 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 2*a**2 + a**2 + 4*a.\nAnswer: -a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -11 + -11 + 17 + 17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*w - 1 + 1 + (-4 + 4 - 1)*(12*w - 18*w - 44*w) as v + p*w and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 38*k = 20. Which is the closest to 2\/7? (a) -1 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105136.25 minus -7600052?\nAnswer: 7705188.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/12 + 8*u**3\/3 - 71*u**2. Suppose -b - 2 - 1 = 0. Is 8 a factor of a(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*w - 82. Suppose -11 = -4*n + 13. Let h = -2 + n. Solve -5*y = -2*f - w, 2*y - 3*f - h = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-24))\/((-176)\/174 - -1). Let g = 114 + v. List the prime factors of g.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 5\/3, -263, 79, -5, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9197472*v**2 + 4254799*v + 2 wrt v?\nAnswer: 18394944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-850)\/(-85))\/((-42)\/3)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/15*30\/9. Suppose -4*j + r = 0, t - 6 = -0*t - j. What is the first derivative of -2*n + 5 - t - 2 wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 + -75 - ((-2 - 1) + -7987) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -55. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -873\/11 (b) -0.2 (c) 2\/131 (d) -4 (e) 0 (f) 3 (g) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*o**2 + 2*h**3*o - 70*h**2*o**3 - 1418*h**2*o + 153*h*o**3 + 11*h wrt o?\nAnswer: -2*h**3 - 420*h**2*o + 918*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21922956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -7*t**5\/10 - 25*t**3\/6 + 39*t. What is the second derivative of u(z) wrt z?\nAnswer: -84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50925167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -391, 3, -2, -32, -4, 4.\nAnswer: -391, -32, -5, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1601*j + 9 - 9 - 1601*j - 585*j**3.\nAnswer: -585*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -256039?\nAnswer: -25603a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3020250010 and -15?\nAnswer: 3020249995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + w + 2. Let r be c(2). Let g(x) = x**2 + 3*x - 4. Let f be g(r). Solve 0*t + 4\/9*t**2 - 2\/9*t**3 + f = 0 for t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 9:29 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -2 (b) -1\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -33) + -32 + 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + s = 130, -l + 6*l - 130 = 2*s. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) 1.2 (c) 0.5 (d) 3 (e) 2 (f) 20228\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1152 - 1684. Let c = -403 - y. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) -41 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50382 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/3 + 2*h**4 - 28*h**3\/3 - 40*h**2 + 96*h.\nAnswer: h*(h - 4)*(h - 2)*(h + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 1\/2*p**4 - 4 + 0*p + 1\/2*p**2 + 0*p**3. Find the second derivative of o(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 4*r**2 - 2*r + 8. Let a be z(-4). Let f = a + -14. Solve -f*w + 6 = 0, -w = 3*c - 4*w + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert b4a2 (base 12) to base 16.\nAnswer: 4cfa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -1, 0.7, 3, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -304 and 0.27?\nAnswer: 304.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21\/55 - -2\/11. Let f be (0 - -1)\/((-5)\/15). Put f, r, -4 in descending order.\nAnswer: r, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1955, -2044, -2137, -2234?\nAnswer: -2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 321749005 to the nearest integer?\nAnswer: 17937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -3)*(-10)\/(-1). Suppose g + g = 2. Let h be -3 + 2 - -17*g. What is the greatest common divisor of j and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.5 - -16. Let h = -32.2 - -37. Let t = h + 0.2. Which is the nearest to 0.1? (a) -5 (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0267 - 0.0304. Let l = 9.007 - 9. Let o = b + l. Round o to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + z**2 - z**2)*(0*z**2 + 4*z**2 - 6*z**2)*((3*z - z - 5*z)*(0 + 1 - 2) + 1 + 2*z - 1).\nAnswer: -20*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, x: 1, d: 4, p: 2, e: 6}. What is prob of sequence zezd?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-3 + ((-2 - -5) + -2 - -6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19403651 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 4, e: 8}. What is prob of picking 1 w and 1 e?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1431034 (base 5) to base 16.\nAnswer: 75c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 + 2*x**2 + 0*x**2)*(0 + 4 - 5) + 4*x**2 - 3*x**2 + 4*x**2 + 7*x**2 + 5*x**2 - 3*x**2.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -2649 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, i: 3, k: 2, v: 3}. What is prob of picking 1 i and 1 k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 102, 609, -6 in ascending order.\nAnswer: -6, 1, 102, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/(-15))\/(-20)*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q - q**2 - 8*q + 6*q**3 + 14*q + 1 + 3*q to the form i + f*q**2 + r*q**3 + s*q and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29\/2 + 15. Let t = 0 - 0.4. Let m = -329 + 326. Which is the closest to 1\/3? (a) t (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {x: 3, e: 2, v: 2, m: 2, j: 4}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 512*l + 160752. Give h(-314).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5401 is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 35*j**2 - 6*j + 16. Let p be d(6). Suppose 3*a - 2*c = 761, 3*c - 3 = -5*a + p. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 16) to base 12\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -292, -1107, -2466, -4369, -6816?\n\"Answer: -272*n**2 + n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047723 times 53?\nAnswer: -0.2529319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4066 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(11)*-2 + -2.\nAnswer: -2*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/5 and 71\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*k**3 - 86*k**3 + 170*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2074100266.\nAnswer: 2, 7, 17, 137, 63611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117351 and 7956.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (-58 - -36 - (-10 - -1))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -44*x + 300. List the prime factors of a(-23).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1748894*u = -1748898*u - 4*x + 128, -2*x = -60 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1476005*0.139\nAnswer: 205164.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1734 - -1741. Let d be 7 + -5 - u\/(28\/(-4)). Factor -5\/4*h**d + 0*h + 1\/4*h**4 + 0 + h**2.\nAnswer: h**2*(h - 4)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/1657?\nAnswer: -4\/1657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*t**3*y**2 - 1239*t**3*y - 61884*t**2*y**2 wrt t.\nAnswer: 54*y**2 - 7434*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -932 (base 16) in base 8?\nAnswer: -4462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 423333 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, -2.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 1115 = 510. Suppose -o = 4*o, 3*o + 300 = -5*i. Let s = i + t. Solve 2*y + 4*l = 24, 5*y + 4*l - 16 = s*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, 1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(208)*5 - sqrt(208))*-1 + (4 + sqrt(208))*5 + 1)**2*-2 + -2.\nAnswer: -1770 - 416*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32200)\/30 - 0)*(-6)\/4. Suppose -39*x = -32*x - f. What are the prime factors of x?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 9*i - 4*i. Let v = i + -28. List the prime factors of (-1)\/v*2442\/(-11).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.87 - -41.7. What is f rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*m**2 + 43266*m - 8205480.\nAnswer: -3*(m - 230)*(11*m - 11892)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -164861, -659730, -1484505, -2639180, -4123749, -5938206, -8082545, -10556760?\n\"Answer: b**3 - 164959*b**2 + b + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.969 and 3?\nAnswer: -23.907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111353083 to the nearest integer?\nAnswer: 10552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-240)\/700*(-10)\/4. Which is smaller: c or 9\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496497*3.\nAnswer: 1489491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Find the second derivative of -b**4 - 3*b - b**4 + 5*b + t*b**4 wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16 = -0*t. Solve -g + t = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1316675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 323, 565, 847, 1169, 1531?\nAnswer: 1933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65123 + 3?\nAnswer: -65120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 49*s + 190. What is w(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/2 - 363*v**3\/2 + 723*v**2\/2 - 361*v\/2.\nAnswer: v*(v - 361)*(v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10321 - 32033?\nAnswer: -103020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**3 + i**4 - 17524*i**2 - 123 - 106 + 17525*i**2 - 2*i**4 in the form b*i + y*i**2 + m*i**3 + h + q*i**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -19. Suppose 2*v - 18 = -v. Suppose 3*j + 3*y = -j - 4, 3*j = -3*y - v. What is the smallest common multiple of n and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 76*t + 88. What is the remainder when q(-59) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 + 777*r**3 + 554*r**3 - 45*r**3 + 5*r**2.\nAnswer: 1286*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56ab66 (base 16) in base 3?\nAnswer: 101200120110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1951 and 2\/61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*u**2 - 19*u**2 + 63*u**2 - 36*u**2 as x*u + p + q*u**2 and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/74679 and 56\/672111.\nAnswer: 672111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202121 - -11?\nAnswer: 202132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1584 = 74*c - 185*c + 89*c for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319479.\nAnswer: 3, 109, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(343)*-6.\nAnswer: -84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/((9\/(-4)*88\/(-22))\/9).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 464 + -467.46. Let h = 2.46 + c. Let f = 0.33 + -0.03. What is the second biggest value in 5, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-47)\/(-4) + (-9)\/(-36). Let j = x - 8. What is the lowest common multiple of j and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**1)**(10\/9)*(((g*((g**0*g)\/g)\/g)\/g)\/g)**13)**(3\/10))**50 assuming g is positive.\nAnswer: g**(-1120\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 4*f = -196, -2*o + 419*f + 64 = 423*f. Solve 3*c = c - 3*h + 8, 5*c - 4*h = o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*1*3\/(-9). Suppose -l*j - 2 + 28 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 353?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28141 + -1?\nAnswer: 28140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -1112?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49.73778 and 23.27.\nAnswer: -26.46778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 38 = 70. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 81*b - 172. Determine r(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -94. Let j = z - 41.0000164. Round j to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65017613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34414584 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/4 - (9\/6 + -5). Solve -f*t - 4*u - 4 = -0*t, t = 3*u + 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 188 = -232. What is the smallest value in 14, 1, g, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116260 is divided by 172?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10432.298 rounded to the nearest 100?\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -11\/10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2705115 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1140 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -10 (c) -0.2 (d) -3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 + 1.1. Let x = 2.93 - 1. Let d = x + 0.07. Sort -2, z, d in decreasing order.\nAnswer: d, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 569*n - 26. Let c(j) = -6828*j + 321. What is 2*c(l) + 25*w(l)?\nAnswer: 569*l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -5*a**6\/2 - 4*a**5\/5 + 307*a**2\/2 - 2*a - 3655. Find the second derivative of m(v) wrt v.\nAnswer: -300*v**3 - 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31283909 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1409996533982 - 1.6.\nAnswer: -1.4590003466018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 3*m - 94. Let i(k) = -k**3 - 6*k**2 + 3. Let r be i(-6). Solve m + r = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 14 = -4*b, 0 = -2*b - 0*b + 4. What is the units digit of g - (2 - 4) - -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.6794 - 1.9794. What is the nearest to 0.1 in -0.4, 3460, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 5)\/219*2. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 9 = -13*y + 3, -5*w + 3*y = 54 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**4\/12 - 2*i + 2. Let f(n) be the first derivative of d(n). Let y(z) = -4 + z + 0 + 4. Give f(y(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.43217 hours in microseconds?\nAnswer: 185155812000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 47709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -17303 (b) 3 (c) 2.9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2674 and 10314?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630391 is divided by 33178.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.1449 + 0.1449. Which is the closest to h? (a) 0.2 (b) 0.3 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2537618103 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*i = -d + 34, -4 = -d + i. Suppose g = d*g. Suppose -2*k - 2 + 8 = g. Calculate the remainder when 4 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 18*c. Let d be t(-18). Let p be (-6)\/(-9) + 1\/(-3). Factor -p*r**2 + 1\/3*r**3 - 1\/3*r + 1\/3*r**4 + d.\nAnswer: r*(r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556673730 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((15\/4)\/(-15))\/(10\/(-8)). Let h = -4.07 - -2.67. Which is the third smallest value? (a) j (b) -0.3 (c) h (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0 - 2. Let a = -1 + t. Let m = 1 - -1. Calculate the remainder when m is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*x**2 - 133*x**3 + 7*x**2 + 1 - 5*x**2 wrt x?\nAnswer: -798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. Let o = 3 - 0. Let g = -550 + 546. Which is the nearest to t? (a) o (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 5. Suppose 4*p - 4 = d + p, 4*d - 4*p = 0. Let t be -2 + (53 - 1)\/d. Let o be (-2)\/12 + (-116)\/t. Determine q(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3017, -3027, -3035, -3041, -3045, -3047, -3047?\nAnswer: -3045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 7:43 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*w - 33 = -0*w, 0 = 4*j - w - 101. Let x be j\/(-9) + 2\/(-6). Is 1 - (111\/x + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 0*z + 10. What is the remainder when 21 is divided by ((-22)\/(-4)*z)\/1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-44))\/(((-49)\/42)\/(-7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 13 - -8 - (6 - -1) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {i: 1, m: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*y + 170*y + 179*y - 4 + 4.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 divided by 3216?\nAnswer: 45\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 849. Let q(d) = 61*d**2. What is q(i(p))?\nAnswer: 244*p**2 + 207156*p + 43968861","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1986\/18 - (8\/(-6))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 1 (b) -136 (c) 1\/8 (d) -1\/1052\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnnw when four letters picked without replacement from {n: 5, w: 3, c: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - p + 19. Let w(f) = -3*f**2 - 20. Let m(l) = o(l) + w(l). Let j(b) = b**2 + b + 4. Let h be j(0). Suppose 4*n + h = -4. Determine m(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11333*u - 2. Let v be j(2). Suppose 5*y - 3*f - 279991 = 0, -33345 = -y - 3*f + v. Round y to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.999775 millilitres to litres.\nAnswer: 0.003999775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19211 by -2.\nAnswer: -19211\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t - 22. Let d be r(2). Let j be d\/(-6)*51\/(-6). Which is smaller: j or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(1 + 2)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8 - 61) + 1 + -2 + 2 + 3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3049, -3040, -3017, -2974, -2905?\n\"Answer: h**3 + h**2 - h - 3050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 29*f + 7845 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a38126 + 48?\nAnswer: -1a380bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/303157, -321\/2?\nAnswer: -321\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2971568 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 9) + (1 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 340806118?\nAnswer: 1\/170403059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 24 = n. Let z be -2*(-3)\/(-18) - (-16)\/n. List the prime factors of 78 + -1 - (-5 - (z + -1)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -1313.3486?\nAnswer: -6566.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 363*n + 37026. What is b(-102)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/3 + 366*p**3 - 2728*p**2 - 6756640*p\/3 - 63888000 = 0. Calculate p.\nAnswer: -1100, -44, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -3402\nAnswer: 5\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) 1 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**2. Let r = 210 + -386. Let h = r - -261. Let k(g) = -91*g + 162*g - h*g. Calculate a(k(c)).\nAnswer: -784*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 4741.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18535666?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 3:13 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - d = -293, -2*d - 124 = 3*z + 82. Find the common denominator of (1\/z)\/(3474\/1160 - 3) and 101\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578\/7225*(-42)\/(-4)*((-105)\/6)\/7?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.1 (b) 2\/9 (c) -2 (d) 6\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1)\/(10 - 9). Let w be -1 - 9\/3*h. Put 0, 1, w in ascending order.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 377\/(-195) + 2\/1. Is m smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -116263 or -687?\nAnswer: -687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 = -17. Let w = 23 + y. Suppose 4*c - 14 = w. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365471 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*v - 2*v + 65, -4*a = 5*v - 59. Suppose -8 = 4*k + 3*z, 3*z + 8 = z. Solve 3*j - a = -k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 54064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.471 times 0.063\nAnswer: 0.155673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 179*q - 19124. Calculate o(108).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*7\/((-105)\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**(-1\/32)*(g*g**(-2))**(-2\/121) assuming g is positive.\nAnswer: g**(153\/1936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*r + 7 - 3, -3*r - k + 6 = 0. Suppose -3*a + 4*a - 5*o = r, 0 = 3*a - 5*o - 6. Suppose -27 = -2*b + 13. Solve -a*p - b = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - 101100011011000?\nAnswer: -101100011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/12 + 5*d**3\/6 + 3*d**2\/2 - d. Let b = -5 + 10. Let a be q(b). Solve a*i - 7*i = t + 6, 0 = -5*t + 3*i + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6 + 3 - 1 - 3 - 3*c. Suppose -5*u + 3*b + 29 = 0, -2*b + b + 16 = 2*u. Suppose -u*o + 2*o = -50. Let s(h) = -2*h + 3. Determine o*s(w) - 6*j(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 8*t**5 - 32978*t**4 + 1733916*t**3 - 2124122*t**2 + 423176*t = 0.\nAnswer: 0, 1\/4, 1, 52, 4069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x + 44. Let p be a(-6). Does 24 divide p\/(-6)*990\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 8*s**2 - 8*s - 8. Let h be k(9). Let m be (-1 - -1) + 1 + h. Solve -2*y - 4 + m = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317237128?\nAnswer: 2, 13, 239, 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**34)**(-1\/18) assuming f is positive.\nAnswer: f**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -4*w + 5*d, -4*d - 2*d - 59 - 77 = -10*w + 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {n: 7, i: 3, y: 4, k: 5}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4023 + -276.8957.\nAnswer: -278.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**3 + 6*b - 6. Let k(h) = -5*h**3 - h**2 - 6*h + 6. Let i(d) = -3*k(d) - 4*w(d). Let x(j) = 6*j**3 + 7*j**2 - 13*j + 13. Give 13*i(t) - 6*x(t).\nAnswer: 3*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1436086.\nAnswer: 2, 718043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooooooohooo.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.68035 - -40.8. Let l = -0.12 + r. Round l to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.27 - -0.03. Let a = 0.234 + m. Let h = 28.194 - a. What is h rounded to 0 decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/7488 and -169\/180.\nAnswer: 37440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(5\/7)*g*g))\/(g\/g**(-1\/6)))**(9\/5) assuming g is positive.\nAnswer: g**(-489\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 3:28 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -71674250 divided by 25\nAnswer: -2866970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1863\/(-8602) + (9 - (-3230)\/(-374)).\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78841 greater than -1\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 803 and 287036?\nAnswer: 3157396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 2\/11, 9, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/9*(5 + -3). Let m be (-357)\/(-42) + 0 + (0 - -5) + -12. Suppose h + 1 = 0, 5*h = 4*o - 3 - 6. Which is the closest to o? (a) -2 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150502210 (base 6) in base 2?\nAnswer: -1011111001011001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1. Let t be 98\/(-35) - (-4)\/5. Let j be (-6 + -5)\/(t\/4). Let d(f) = 2*f + 11. Let c(g) = j*h(g) + 2*d(g). Let o(v) = 4*v**2. What is o(c(m))?\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 + -2. Let z = -157 + 222. Let g = z + -587\/9. Which is the second biggest value? (a) o (b) 0.06 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 + 1106*p**4 - 13076*p**3 + 49892*p**2 - 64970*p + 27050 = 0. Calculate p.\nAnswer: 1, 5, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7834.091 micrograms to grams.\nAnswer: 0.007834091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 147?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -189 (base 13) to base 14.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*l + 68 = 0, -4*a + 5*l = -2*a - 68. What is the highest common factor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 15. Calculate n(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(70)*-4 - sqrt(70))*2)\/((sqrt(10) + (sqrt(360) - 1*sqrt(360)))*-2)*-1.\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(24)\/sqrt(2)) + 3.\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17340 = -8*v + 1036. Suppose 34*n - v - 22489 = 0. Calculate the greatest common factor of n and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 + 40*u**2 - 25*u + 2. List the prime factors of n(-17).\nAnswer: 2, 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*t - 11583 = 219*t + 124*t + 316*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*f - d + 12315 = -87*f, f + 5*d - 2463 = 0. What are the prime factors of f?\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 4:26 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f**2 + 32 - 37 + 8*f**2.\nAnswer: -18*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6200292 tonnes?\nAnswer: 620029200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3599347186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 2:47 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 - -52. Let l = 70 + v. Suppose 3*d = -d + l. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*t - 5*h + 153, 184 = 4*t + 3*h. Suppose -394*g = -390*g - 32. What is the remainder when t is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6655248 and 0.01.\nAnswer: -6655247.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1974 + -1906. Sort 1, x, 4.\nAnswer: 1, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171286966?\nAnswer: 2, 31, 307, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14816734.\nAnswer: 2, 7408367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 9*l + 2. Let y be w(6). Let v be y\/9 + 2\/(-9). Solve -z = v*r - 5*z + 4, -5*z - 2 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Let w(o) = -o**3 - 11*o**2 + 11*o - 7. Calculate the remainder when w(-12) is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 + 5*v - 28)*(16 + 19 + 1 - 13) to the form q + l*v and give l.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41101501 + 3?\nAnswer: 41101504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 250, 0.4, 38, -0.2?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335464 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-1))\/(1\/2). Let u = -12 + 9. Which is the smallest value? (a) 1\/3 (b) u (c) s (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -41256 (base 13) in base 4?\nAnswer: -130201302","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39760 and 639.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119b (base 15) to base 14.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -4f32f0f?\nAnswer: 4f32f14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12028029 - -1982729. Round p to the nearest one hundred thousand.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 v when four letters picked without replacement from {v: 6, a: 2, r: 1, u: 4}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*i + 76 + 62 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)*p)\/(p*p\/(p*p**5*p)))**(-31)*(p**2*p**2)\/(p*p**6*p\/p**(-2\/13)) assuming p is positive.\nAnswer: p**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 i, and 1 a when four letters picked without replacement from iiihtithhtatihhthtt?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h + 5. Let l(a) = 3*a + 2. Let j(o) = -2*g(o) + 7*l(o). What are the prime factors of j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 - a**4 + 4*a**3)*(29 + 36 - 9) + (-2*a**3 - 4 + 4)*(-6*a + 0*a + 7*a).\nAnswer: -58*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**5\/20 + 2*n**4\/3 + 2*n**3 - 6*n**2 - n. Calculate the remainder when g(9) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*y + 4*f, -y + 0*y + 4*f + 11 = 0. Suppose 5 = 4*z - y. Solve 0*s - z = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -8. Solve k + 5*j = -24, 0*k - k = t*j + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + -29.01. Let h = 30 + l. Which is the biggest value? (a) -0.5 (b) h (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1318*c + 193734. Give h(147).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3876353 + 0\nAnswer: 3876353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(7)) + (-2*sqrt(7)*-3)**2.\nAnswer: 3*sqrt(7) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*sqrt(204))\/sqrt(12).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1757, 1752, 1733, 1694, 1629?\nAnswer: 1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -87. Calculate the remainder when n + -1 + -2 + -3 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 = -3*p - 28*p. Let f be (-356 + 2)\/(78\/(-208)). Calculate the greatest common factor of f and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 938 - 638. What is k rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -7*u + 1554. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 13 - (-1 + 2)*6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548 - 310 + 2312 - 482 - 489 - p**3 - 483.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h**2 + 3. Let d(x) = -6*x**3 - 6*x**2 + 16. Suppose 4*s + 3*r = -11, -5*s - 5*r + r = 14. Give s*d(m) + 11*v(m).\nAnswer: m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + -3 + 1 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w. Let r(g) = 9*g**2. Let j(d) = -8*d**2 + d. Let n(s) = 4*j(s) + 3*r(s). Let y(i) = 2*m(i) + n(i). Suppose y(z) = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 17*g**6\/120 - g**4\/12 + g**3\/6 + 4*g**2. Is 7 a factor of h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 89, 248, 475, 764?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-7)\/((-28)\/(-8)). Suppose -2*i + 5*m = -4, 8 = 4*i - q*m - 0*m. Suppose i*a - 13 = 13. What is the highest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174880*d = 174927*d + 1363 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/8)\/(d**(-5)\/d))\/(d**0\/(d*d\/(d**(-1\/7)*d))) assuming d is positive.\nAnswer: d**(421\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7*m + 3*y = -222, 212 = -3*m - 5*y. Let g = -48 - m. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -863 plus -3.69?\nAnswer: -866.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369181999 to the power of 1\/3, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42841847 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -419 (base 10) to base 9\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4116550 and 0.4?\nAnswer: 1646620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 52*u - 96.\nAnswer: -2*(u + 2)*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(10\/(-3) - 0). Let x be (-8)\/(-15) + 5\/(-25). Which is the third biggest value? (a) -4 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6 = -2*i + 2, -5 = -3*t + i. Solve 2*c + 2*a = -12, 4*c = c + t*a - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 7*w - 4. Let f be k(6). Suppose -3*m + 15 = 3*c - c, -m - 2*c + 9 = 0. Solve f*a**3 - 5*a**3 + m*a - a + a**2 = 0 for a.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(3 + (0 + sqrt(112) - sqrt(7)) + 0) + 4).\nAnswer: -72*sqrt(7) - 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Let s(m) be the third derivative of -5*m**5\/2 + m**3\/6 - 3097*m**2. Determine x(s(h)).\nAnswer: -22500*h**4 + 300*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -516*r**3 - 55*r**2 - 3*r.\nAnswer: -3096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84.2 and 0.3.\nAnswer: -25.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 214 and 61632?\nAnswer: 61632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -8 + 2\/7*d**3 + 2\/7*d**2 + 0*d**4 + 0*d - 2\/35*d**5. Factor z(a).\nAnswer: -2*a*(a - 2)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 33*l**2 + 32*l + 3. Let x be i(-32). What is the first derivative of 0*c**x - c**3 + 47 + 3*c + 19*c**3 wrt c?\nAnswer: 54*c**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 4*u. Let w be (-2)\/(-7) + 52\/14. Let n(t) = 0*t**2 - 11*t**2 + 32*t - 4*t**2 - 53*t. What is w*n(p) - 21*l(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*i = -0*j + 84, -3*i = 4*j - 196. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 45378?\nAnswer: 499158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 45*n**2 - 309*n - 9541. Calculate m(-43).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**9\/p)))**(-41)\/(p**(-2\/17)\/p*p*p\/(p*p*p**(-7\/6))) assuming p is positive.\nAnswer: p**(-33461\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5004 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.46 - 483.898?\nAnswer: -766.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44219973 divided by 9.\nAnswer: 14739991\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/(w**(3\/7)*w)*w)\/w)\/(w\/((w\/(w*w**(-1\/6)))\/w)))**(-2\/5))**(-2\/13) assuming w is positive.\nAnswer: w**(-106\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 2888*m + 14340.\nAnswer: 4*(m - 717)*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:58 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.066 - -0.366. Let p be -1*(-8)\/(-18) + (-800)\/(-180). Sort -39, 6\/11, j, p.\nAnswer: -39, j, 6\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/2274654 and -89\/204?\nAnswer: 77338236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 22*l + 14 = -24*l, 2*l + 11 = m. Calculate the remainder when 171 is divided by 49 + (m - 4) + -1 + -2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(27) - sqrt(54)\/sqrt(2))*-2)\/(sqrt(36)*6) + (3*(1 + sqrt(192)) - sqrt(192))))**2.\nAnswer: 864*sqrt(3) + 6993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 104537*f - 106810*f.\nAnswer: -2273*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2744 and 25\/19.\nAnswer: 52136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -13) + -20 + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1376172 and 160020?\nAnswer: 6880860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1409200 - -1410044.553. Let f = v - 845. Round f to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2735 is divided by 340?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/7 - 312*f**3\/7 + 11852*f**2\/7 + 24648*f\/7 + 12482\/7.\nAnswer: 2*(f - 79)**2*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (-8)\/4)*(3 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4483.774 + 4480. Let q = o + 0.074. Let u = q + 3.7112. What is u rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -16, 13, 54, 107, 172?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*f + 23, -14*j - 4*f = -10*j + 4. Suppose 7*l + 36 = 3*l. Put l, -3, j in decreasing order.\nAnswer: j, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3201120300 - 10?\nAnswer: 3201120230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (0 - 10) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1.64, 1, 1\/4 in descending order.\nAnswer: 1.64, 1, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -5. What is the nearest to 0 in y, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 11. Let b = 22.8 - a. Let v = b + -0.868. What is v rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.1. Let u = -200.5 + 165. Let f = -36 - u. Sort f, -0.18, g in ascending order.\nAnswer: f, -0.18, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 49467 = 35*v - 32*v, 2*h - 82473 = -5*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9488 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: Suppose 8*c - 15 = 3*c. Suppose 5*x + 290 = 4*f, c*f - 228 = x - 5. Let y = -33 + f. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from {p: 2, h: 4, n: 1, r: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-231)\/15)\/11 + (-704)\/(-560)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108322 is divided by 3853?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 2, e: 5, y: 1}. What is prob of sequence cc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/20*((-8700)\/75)\/(-58)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-2*(4 + -3)). Determine g, given that 12*g + 52*g**2 + 20*g**3 + 6*g - 5 - 2*g - x = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8, -3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 8*o. Let m be r(-5). Let f = -9 + m. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 796741\/7 + -114458. Let m = -637 - h. Find k, given that -m*k + 6\/7*k**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -143, -333, -609, -977, -1443, -2013, -2693?\nAnswer: -3489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 18 - 0. Suppose -o*n - 50 = -2*w - 8*n, 52 = 2*w + 4*n. Suppose 0 = -14*s + 17*s - w. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**4\/4 + 966*l**3 + 2099601*l**2\/2 - 13627. Factor t(d).\nAnswer: d*(d + 1449)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.273 - -8.273. Let q = -0.2 - -1.2. Put q, -5, p in ascending order.\nAnswer: -5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363216*k**3 - k + 726486*k**3 - 363256*k**3.\nAnswer: 14*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:54 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -v - 61, -6407*f - 7*v - 407 = -6408*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*k**2 + 177*j**2 + j*k**2 + 445*j wrt j.\nAnswer: 4*k**2 + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 304*i*v*y - 2706*i*v + 3*i*y + i + 5*v*y + 2098*y - 14245 wrt y?\nAnswer: 304*i*v + 3*i + 5*v + 2098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23262, -3, -17, 3 in increasing order.\nAnswer: -17, -3, 3, 23262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6)*825\/(-10). What is the greatest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1296459*t + 1553560.\nAnswer: 1296459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 681 + -603. Solve -g*r + 13 = -91*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*x - 3*q - 0*q, -5*x = -3*q - 22. Suppose -3*y + 62438 = 5*k, 5*k + 0*y = -x*y + 62430. Round k to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 - 69. Let v = -70 - n. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-15) - 1754\/(-10). Let k = -103 + s. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99.39 - -99.49. What is the nearest to -0.2 in 4, -102, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -304 - -303. Let q be (-1)\/(d\/4) + (-34)\/8. Sort 10, 0.2, -1\/3, q in ascending order.\nAnswer: -1\/3, q, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n + 120. Let g(w) = 5*w + 40. Let p(m) = 11*g(m) - 4*k(m). Let q be p(15). Solve -5*d - 2*v - 3*v = -30, 0 = -q*d - 4*v + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -7*p**8\/4 - p**4\/12 - 143*p**3\/3 - 241*p**2. What is the second derivative of s(n) wrt n?\nAnswer: -11760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-5)*-1 + 0 + -3. Is 7085\/19 - ((-485)\/95 - m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35939492100 rounded to the nearest 1000000?\nAnswer: -35939000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13613 - -7282. What is q rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.132, 97.28, 0.2 in decreasing order.\nAnswer: 97.28, 0.2, -0.132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -48. Let a(v) = -2*v - 20. Let x be a(-11). Suppose -6*g + x*g = -84. Calculate the remainder when f is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123 and 7?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22364.\nAnswer: 2, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 374007 times 21?\nAnswer: 7854147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**2\/2 - 8*g - 5. Let h = 2 + -9. Let k be s(h). Round k to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4198, 16671, 37412, 66421, 103698?\nAnswer: 149243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6228 is divided by 156.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108 - (32\/(-2))\/(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 2. Let i(b) = -b - 1. Let z(y) = 8*y + 3. Let l(o) = -4*i(o) - z(o). Let c(u) = 6*f(u) + 5*l(u). Calculate c(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -0.1. Let j = 785\/7106 - -3\/418. Let u = 4.0411 - 0.0411. What is the biggest value in u, j, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -1 + 1 + (sqrt(704) + 1 - (sqrt(77)\/(2*sqrt(7)))**2) + 4)*-2.\nAnswer: -22*sqrt(11) - 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 4:34 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 14. Suppose -5*m - 77 + 52 = 0. What is the closest to i in m, -2, 1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 246? (a) 0.3 (b) 14 (c) -0.368 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 149*r + 1201. Calculate o(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201951, -201929, -201907, -201885?\nAnswer: -201863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2250 and 2490.\nAnswer: 186750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93442 != 1\/2726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1) + 480\/(-96). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -715\/7 - -102. Let a = -0.6 - -0.9. Sort g, a, 1 in descending order.\nAnswer: 1, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -15*r - g + 150, 3*g = -r + 150. What is the greatest common divisor of r and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 6, -26, -28, 892?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 28 = 5. Let o(v) = 7*v - 6. Let q(w) = -20*w + 17. Determine y*o(f) - 4*q(f).\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/5200 and 69\/191776.\nAnswer: 4794400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**3*t**3 + 3*p**3 - 145667*p**2*t**3 - 5889691*p*t wrt t.\nAnswer: 18*p**3*t - 874002*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 72, 120, 188, 282, 408, 572, 780?\nAnswer: 1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -3175, -105, -3 in descending order.\nAnswer: 6, -3, -4, -105, -3175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 7}. What is prob of picking 2 b and 1 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -6 - 1\/60*n**5 + 1\/24*n**4 + 1\/6*n**3 + 3*n**2 + 0*n. Determine o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 564 + -331. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c = -392. Let r = c - -156. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-4))**(-1\/33)*(i**1*i)**(1\/37))**22)**43 assuming i is positive.\nAnswer: i**(18404\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00365562233 to four decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-12) - ((16 - 11) + (-1801868)\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/2209 - -9089\/558877. Are i and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -697762, -697772, -697788, -697810?\nAnswer: -697838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 134*c + 1581. What is i(-52)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1764)\/42*3\/18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l + 10*l - 4*l + 0*l - 5*l + 2*l + (0*l + 0*l - 2*l)*(-2 + 1 + 3) - 27 - 5*l + 27.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 394*l**2\/3 + 21613*l\/3 + 41642\/3.\nAnswer: -(l - 443)*(l + 2)*(l + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1998 divided by -2.\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o*o*o**(-46)\/o*o))))\/o)\/(o**45\/o)*o**(-2\/9)*o\/((o*o\/o**(-2\/61))\/o) assuming o is positive.\nAnswer: o**(-140\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2*v)*(2 - 1 - 2) + (-3 + 0 + 2)*(-2*v - 2*v + 3*v) - v + 3*v - v + 465 + 58*v - 465 to d*v + f and give d.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2028708 divided by 436?\nAnswer: 4653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -179.466 - -179. Let x = 0.166 + m. Let y be (-2)\/(15 - (2 + -4)). Put y, x, -3, 3 in decreasing order.\nAnswer: 3, y, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280900 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)*(l*l**(-25)\/l)\/l)**(-7) assuming l is positive.\nAnswer: l**(924\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 15) to base 4\nAnswer: -3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 641 = -83. Let a = x - -940. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 16*n**2 + 9. Let f(y) = 5*y**2 - 2*y + 1. What is -2*f(h) + q(h)?\nAnswer: 6*h**2 + 4*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 2*d + 8)*(-4*d + 3*d + 2*d + (-d - 2*d + 5*d)*(3 + 3 - 5) + (15*d - 13*d - 4*d)*(-2 + 1 + 0)).\nAnswer: -10*d**2 + 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.6. Which is smaller: j or 3\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5)**(-7)*c\/(c*c**(-2\/73)\/c*c*c)*c**(-6\/13) assuming c is positive.\nAnswer: c**(-34576\/949)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*k + 5*r, 0 = -7*k + 2*k - 5*r + 65. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15082594?\nAnswer: 2, 43, 83, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -15 + 11*k + 5\/4*k**4 - 11\/2*k**2 + 5\/3*k**3. Let r(o) = -2*o**3 - 2*o**2 + 4*o - 4. Give 4*i(m) + 11*r(m).\nAnswer: -2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*p + 14, 6*o - o + 10 = 0. Suppose 469 = 4*v - 3*n + 449, -4*n - 35 = 3*v. Sort 1, v, p in descending order.\nAnswer: p, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -496858 (base 10) to base 5.\nAnswer: -111344413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -6\/7, -4, -6, -2\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23126185\/117 + 197661. Let b = g + -14\/13. Factor -2\/9 + 4\/9*u - b*u**2.\nAnswer: -2*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 453\/1*(73 - (-15042)\/(-207))*-1\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34\/5 + -36\/5. Let g = -15981 - -15966. Which is the biggest value? (a) -2\/3 (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -156.184477.\nAnswer: -158.184477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2646168567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 5 - 5 + (4*z - 3*z + 0*z)*(-10 + 24 + 24) - 1 - 2*z + 1.\nAnswer: 37*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 9:37 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.08 + -0.08. Let s = 225.9 + -226.3. What is the fourth smallest value in u, s, 0.4, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 374865\nAnswer: 2998920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-16)\/12 - -19. Solve y - 6*y = -d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 76 - 76)*(-5 + 1 - 6) - 7*i + 4 - 4 + (-2*i - i + 5*i)*(-1 - 3 - 1) - 4*i - 2*i + 4*i to b*i + l and give b.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**3 - u**2 + 1. Let s be -1 + (-6)\/6 + 0. Determine a(s).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 125? (a) -5 (b) 3272\/17 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 6 + 56 + 22. Does 19 divide v(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 14 = n, -n - 20 = 5*w - 6. Let i be (-3)\/21 - 504002\/n - 0. Suppose 3*m + i = -2*m. Round m to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 9*a - 3*a**3 + a**3 + 3*a**3 + 2. Let n be x(3). Suppose c - n*k = -0*c + 2, -5*c - 3*k = -66. What is the least common multiple of 1 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -802 + 812.06. Let l = z - 10. Let x = l + -0.060045. What is x rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435555.\nAnswer: 3, 5, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2386294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25109 - 4786*v**2 - 25098 + 4791*v**2.\nAnswer: 5*v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*s + 3*s - 2 = 7*s, 4*y - 5*s - 8 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 158*j - 161*j + 80 = -55, 0 = -31*f - 2*j - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/769 or -1285?\nAnswer: -26\/769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 10:27 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -189522.\nAnswer: -1137132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 39*m**3 - 3234*m**2 - 241*m - 663. What is d(83)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:11 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 10:51 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 2146392.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**3 - g**2. Determine x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/70 + -317\/140. Suppose -3 = 2*u - 11. Which is the third smallest value? (a) u (b) 2\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1234? (a) 40 (b) 3\/7 (c) -0.189 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 2*p + 3*p + 4*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-5 - (6 + -4)) - (-783 - -753).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 36*t**3 + 7*t**2 + 132*t + 11. Let c(s) = -18*s**3 - 3*s**2 - 66*s - 5. Let m(r) = -9*c(r) - 4*h(r). Find the second derivative of m(w) wrt w.\nAnswer: 108*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 7*l**2 + 7*l + 19. Let j be f(5). Solve j*y - 3 = p, -5*p + 3*y + 31 = 6*y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2775528 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3291287604.\nAnswer: 2, 3, 11, 29, 78163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 3797158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v + 7. Let k(f) = -3*f - 6. Let j(m) = 7*k(m) + 6*r(m). Let s(i) be the third derivative of i**4\/24 - 2*i**2. Calculate j(s(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 72 = -4*x, -2*x = -3*o + x + 108. Suppose 5*a - o = -2*d + 7, 5*a - 40 = -5*d. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295 divided by -59.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1142032 - -10.364.\nAnswer: -1142021.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7448 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 4, -0.6, -8, -4\/11, -25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/4 + 2319*p\/2 + 18616 = 0. What is p?\nAnswer: -16, 4654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13879\/82986 - 8\/13831. Let d = 3497\/5 + -697. What is the second biggest value in d, -3\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 2, c: 1, x: 1}. What is prob of sequence xc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvmyeyez. Give prob of sequence hye.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -1, 19, -0.4, -0.3 in increasing order.\nAnswer: -1, -0.4, -0.3, 0.6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhhhhhxhxtxh. Give prob of sequence zx.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111490681751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((7 - 7) + 6 + -8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.1, 5\/3, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*l**2*m**3 - 3*l**2*m - m**3 + 96*m wrt l.\nAnswer: -92*l*m**3 - 6*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - h + 17 = 0, 4*i - 43 = 3*h - 16 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -0.3. Let x be (16\/(-1460))\/(8\/(-100)). Let r = x + 139\/584. Which is the nearest to 2? (a) 1 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25362*f - 25317*f - 225 = 0. Suppose -2*a - a + 201 = 0. What is the smallest common multiple of f and a?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1931*d - 1576. Let f(s) = -9652*s - 7882. Let v(l) = 2*f(l) - 11*j(l). Differentiate v(h) wrt h.\nAnswer: 1937","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448) - (sqrt(448) + (sqrt(448) - sqrt(448)*-1))) + 5)*-3*4)**2.\nAnswer: -23040*sqrt(7) + 261648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(1 + 1)\/(-2). Suppose -4*c + 81 = -3*f, r*c + 3*f - 27 = 4*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -221, 0, -149.2 in descending order.\nAnswer: 0, -149.2, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 849194441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1263.99 - -1.\nAnswer: -1262.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 4*w - 2. Let f = -9 - w. Is 12 equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (134\/4)\/(2\/(-2)) and -43\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -286 + 1438\/5. Find p such that -4\/5*p**4 + 4\/5*p**3 - 2\/5*p - 2\/5*p**5 - 4\/5 + z*p**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76 - 4*l**3 + 2*l**3 + 3*l**3 + 3*l + 139 - 2*l**2 + 0*l**3 as t*l + z*l**2 + c + o*l**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 176, -223, -622?\n\"Answer: -399*h + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azgqrgz. Give prob of picking 1 g and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 289*j - 299*j + 230. Let f(r) = -5*r**2 + 14*r**2 + 23*r - j*r. Let g(w) = -14*w. What is g(f(i))?\nAnswer: -126*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17*(-4)\/816)\/(15\/(-40)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5261.671 centuries in decades?\nAnswer: 52616.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 7:14 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119.97995 - -120. Let g = -288.981 + 289. Let r = g - h. Round r to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*j - 7*j + 4*j + (0 + 1 - 2 + (-5 - 2 + 5)*(-4 + 4 + 1) + 3 - 2 - 2 + 1 - 2 + 4)*(j + 4 - 4).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and -55 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -621, -923, -1243, -1587, -1961, -2371, -2823?\nAnswer: -3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1054945088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 40645809.6 to the nearest one hundred thousand.\nAnswer: 40600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3232 is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -2, -15, -14 in ascending order.\nAnswer: -15, -14, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c - 4. Let n(r) = -11*r - 8. Give 7*m(z) - 4*n(z).\nAnswer: 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17876683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-5))\/(6\/(-20)). Let i be j\/(-36) - 16\/(-9). Let x(s) = 3*s**i + 3*s - 2*s - 2*s**2. Calculate x(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.04 (b) -4 (c) 5 (d) -941.2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwrw when four letters picked without replacement from {w: 12, u: 2, r: 3}.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*u*x**2 + 2*h*u*x + 2*h*u + 5788*h*x**2 + 3379*h + u - 2 with respect to x.\nAnswer: 4*h*u*x + 2*h*u + 11576*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6005\/4 + -1501. Which is the closest to s? (a) 0.4 (b) 33 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9720.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3073 - 1027 - 1022 - 1024 - 5*a**3 + 2*a + 0*a**3.\nAnswer: -5*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)\/(k**(3\/8)*k*k)*(k\/(k*k**(3\/5)*k*k*k))\/k**0*((k**(-4)\/k)\/k**8)\/(k**(2\/5))**(8\/9) assuming k is positive.\nAnswer: k**(-7679\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -341 - -338. Let o = -16 - -49\/3. Let k = 7 + -7. What is the biggest value in h, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 10112 (base 3) to base 6\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 755*s**4 + 2109 + 435*s**4 + 761*s**4 - 9401 + 1225*s**4 wrt s?\nAnswer: 12704*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/140)\/((-1)\/(-8)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/15, -0.3, 0.4, 2\/17 in increasing order.\nAnswer: -0.3, 2\/17, 4\/15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + (43 - 45) - -3?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 3\/8*q**2 + 1\/120*q**6 + 0 - 5\/12*q**3 - 3\/40*q**5 + 12*q + 1\/4*q**4. Find c, given that n(c) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11213230 (base 4) to base 11\nAnswer: -16328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a hour in seconds?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m - 35. Let a be r(-5). Suppose 0 = 3*t + 18 - a. Let c be (-245)\/t - 1 - (-4)\/24. Solve -3*x + 3*y + c = 2*x, -3*y - 20 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2025767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*y = 147*y + 2*x + 372, 0 = 5*y + 4*x - 478. Calculate the greatest common factor of 1739 and y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59275, -117330, -175385, -233440, -291495?\nAnswer: -349550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1615 - 1720.3. Which is bigger: 0.1 or f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*i**5 - 8*i**5 + 23*i**5 + (-7*i**2 + 2*i**2 - i**2 + (3*i - 5*i + 3*i)*(0 + 0 + i))*(2*i**3 - i**3 - 3*i**3) - 30 + 4*i**5 + 30.\nAnswer: -15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 8*b + 20. Calculate the remainder when 159 is divided by u(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**3\/3 + 5*c**2\/2 + 4*c - 1. Let i = -34 + 39. Let u be f(i). Solve 2*w + u + 0 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2 + 0*h + 0)*(4*h**2 + 2*h**3 - 4*h**2 - 5*h**3 - h**3 + 4*h**3 + (h - 2*h - h)*(h**2 + 0*h**2 + h**2) - 3*h**2 + 3*h**2 + 3*h**3).\nAnswer: -h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let x(p) = -15*p + 20*p**2 + 14*p + p. What is x(f(y))?\nAnswer: 80*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 3 = -8. Suppose 0 = 2*t + q - 5, 2*q + 2*q = 12. Put 4, 2, t, g in decreasing order.\nAnswer: 4, 2, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 82.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, -1, 103, -256 in descending order.\nAnswer: 103, 11, 3, -1, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**3\/3 + 11*t**2\/2 - 76*t + 2504. Determine p(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 373310 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 168884143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 241043?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 158, 371, 678, 1085, 1598, 2223, 2966?\nAnswer: 3833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 0 + 17*i**2 + 0*i**3 + 7\/15*i**5 + 1\/12*i**6 + 0*i**4 + 0*i. Find the third derivative of m(v) wrt v.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -723, 2\/239, -242 in descending order.\nAnswer: 2\/239, 0, -242, -723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*i**2 - 6 - 3*i - 7 - 11 - 4 wrt i?\nAnswer: -10*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43, 18, -31, -110, -225, -382, -587?\n\"Answer: -y**3 - 6*y**2 + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - 1*(-1*sqrt(200) - sqrt(200)))\/sqrt(8))\/(6*(sqrt(20) - sqrt(320))).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37911, 1\/201, -2\/7, -3 in ascending order.\nAnswer: -37911, -3, -2\/7, 1\/201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 2*i**2 + 3*i**2)*(i + i + 2*i)*(-i - 7*i + 2*i).\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19039 and 2196437?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -7. Let p be (6\/9)\/(l\/6). Sort 1, -5, p in decreasing order.\nAnswer: 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (sqrt(720) + (sqrt(720) + -1)*4 - sqrt(720))**2 - -2*(sqrt(720) + ((1 + sqrt(720) + -2)**2 - sqrt(720)))) + -4.\nAnswer: -2592*sqrt(5) + 77858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 14. Let m be o(8). Let k = -5 - m. Solve -2*n - 2 = -v, 2*v + 1 = -2*n - k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6533912 and -143.\nAnswer: -6534055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**3 + 13*o**3 - 10*o**3 + (-142*o**2 - 150*o**2 + 284*o**2)*(o - 3*o + 4*o).\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = -99. Suppose -46*l = 157 - 702 - 283. Calculate the lowest common multiple of l and h.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 2*q**2 + 4. Let o be f(-3). Does 2 divide 48\/10 - 1\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 27 = -8. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-89)\/(-30) - 3)\/((-12)\/110) and -45\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-106)\/(-4 + (2 - -1)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - 0.46. Suppose 113*m + 152 = 378. Let o = 0 + -0.1. Which is the closest to o? (a) m (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -8, -2, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 1\/2*s**3 - 3\/10*s**5 + 5 + 0*s**4 + 0*s + 3\/8*s**2 - 1\/8*s**6. Factor u(o).\nAnswer: -3*o*(o - 1)*(o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/3? (a) 4 (b) 0.2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -53*f + 0 + 3\/80*f**5 - 1\/40*f**6 + 1\/16*f**4 + 0*f**3 - 1\/56*f**7 + 0*f**2. Factor x(v).\nAnswer: -3*v**2*(v - 1)*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 25\/2*m**4 - 31 + 0*m + 0*m**2 + 74\/3*m**3. Find the third derivative of k(n) wrt n.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 447768 and 486.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 650 divide 11119153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.48 + 15.48. What is the third biggest value in r, 1\/20, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**3\/7 + 2325*f**2\/7 + 14381*f\/7 + 3450\/7 = 0.\nAnswer: -575, -6, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78684*i**2 - 223085*i**2 - 27698*i**2 - 109103*i**2.\nAnswer: -281202*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 4*s + 16, -17 = -t - 2*s - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 3*u**2 + u + 3. Let v be x(-3). Suppose 0 = 4*s - 2*o - 2, 2*s - 2*o + v*o = 0. Suppose -l - s = -6. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-8 - 11) - 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 3*l. Let k be o(4). Suppose a + k = 2*p + 5*a, -5*p = 2*a - 26. Suppose -3*v = 3, -b + 4*v - 9 = -14. Solve b = -m - p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, 1\/8, 2\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-1056)*4\/(-1))\/((-6)\/(-3)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-280)*-6*5. Sort -5, -3, p in ascending order.\nAnswer: -5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.56 + 0.44. Let z(v) = -v + 4. Let b be z(3). What is the nearest to b in -4\/5, 5, o?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 14977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3. Let s = i + 4. Suppose -a - t + 19 = -0*t, 0 = s*a + 3*t - 103. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47221*j**2 - 248575*j.\nAnswer: 94442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152391700.\nAnswer: 2, 5, 1523917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7905 divide 1458759231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 10 - 21 = 2*u, -j - 4*u - 73 = 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 5. Let m be p(-5). Let h(j) = j**2 - 30. Let b be h(0). Let d be 18\/m*b\/(-9). What is the greatest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/5*40\/(-16). Let h(k) = k + t*k - k + 0*k. Let d(g) = 3*g**2. Calculate d(h(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 15. What is the closest to -3 in 0.2, y, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 176, -5550 in decreasing order.\nAnswer: 176, 3, -5550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 384359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*o - 2*g, 0 = -201*g + 202*g - 6. Let u(p) be the second derivative of -3\/40*p**5 + o - 9*p + 1\/4*p**4 - 3\/2*p**2 + 1\/4*p**3. Factor u(y).\nAnswer: -3*(y - 2)*(y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Solve -5*q + 21 = -c*w + w, 4*w = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 6, p: 1, r: 1}. Give prob of sequence rp.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 38428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(6\/11)\/(m**6*m)*m**(-1\/6)*m\/(m\/(((m**6\/m)\/m)\/m)) assuming m is positive.\nAnswer: m**(-239\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369, -346, -307, -252, -181?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 1, 5, -945, -1 in ascending order.\nAnswer: -945, -3, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (2 - (1 - 2))) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:56 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u - 16. Let j be g(6). Suppose 28 = 7*f - j. Solve 4*p = 2*n - 22, 0 = -2*p - f*n + n - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.799 - -0.201. Which is the third smallest value? (a) 1 (b) 0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(833) + 1 + sqrt(68) - (5*sqrt(85)*-1)\/sqrt(5)).\nAnswer: -2 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r. Suppose 130 + 206 = 42*n. What is the remainder when n is divided by p(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, l: 2}. Give prob of sequence xllx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 + -1.7?\nAnswer: -99.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(192) - sqrt(12) - sqrt(12)))\/(((sqrt(12)\/sqrt(4) - sqrt(3))*6 + sqrt(3) - sqrt(3)) + sqrt(3)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/12299657021 - 100894086951595\/2511171775349486. Let x = f - 1\/2759. Calculate the common denominator of x and 5 + ((-810)\/84)\/5.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -122?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 4*t + 1. Let l = -6 - -14. Let m(k) = -5*k**2 + 12*k + 4. Let h(s) = l*z(s) - 3*m(s). Find j such that h(j) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1983 = 3*s + r, -1322 = -2*s - 5*r. Calculate the remainder when s is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3, -1\/62, -1.73, -14, 3, 1, -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -50*v - 21. Let a(t) = 19*t + 10. Let h(p) = -7*a(p) - 3*r(p). What is h(3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.69005um?\nAnswer: 0.00000000969005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 s when three letters picked without replacement from xghhghgggxghsyhs.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9978*y**2 - 2153*y.\nAnswer: 19956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006492635 rounded to six decimal places?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q - 5*n = 1311, 2*q + 4*n = 1302. List the prime factors of q.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 2 - 4 + 2*i)*(3 - 3 + i**2) to k*i + c*i**3 + h*i**2 + z and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 371618.\nAnswer: -371598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 114*k + 110*k = 54, 15*k - 78 = 2*q + 19*k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -8. Let g(p) be the second derivative of p**4\/12 + p**3 - 3*p**2 + 2*p. Let k be g(-7). Put k, f, 5 in decreasing order.\nAnswer: 5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.333 and -0.09.\nAnswer: -0.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1842*q + 3686*q - 1848*q + 8 = -4*u, -125*u = -3*q - 238 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-20) + (-267129)\/(-178134). Let i = a - 2871217\/21316702. Find the common denominator of i and -61\/16.\nAnswer: 5744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 3:39 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/20*-2*(-36)\/54.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j**(-10\/7)*j))\/j*j**(-19)*j assuming j is positive.\nAnswer: j**(-109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 251515*j**2*q**4 + 29357*j**2 wrt q?\nAnswer: 1006060*j**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/1008 and 59\/672.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 37 + 1. What is the greatest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 44, 19, 3 in decreasing order.\nAnswer: 44, 19, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 9 = -5*y - 4, 2*g = 0. Which is the fourth smallest value? (a) 4 (b) 0 (c) y (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, x: 7}. Give prob of picking 2 x.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -447*i**2\/11 + 437*i\/11 + 10\/11 = 0.\nAnswer: -10\/447, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3863, 3913, 3963, 4013, 4063, 4113?\nAnswer: 4163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 279.147 or -0.24?\nAnswer: 279.147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 times 20?\nAnswer: -820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*j - 16. Suppose -2*a = j*a + 3*m - 97, 0 = a - m - 21. Calculate the remainder when 79 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5519872?\nAnswer: 2, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65, 77, 101, 143, 209, 305, 437, 611?\n\"Answer: p**3 + 5*p + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (1 + 0 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 3*j + j)*(4 + 3 - 5 + (1 + 0 + 1)*(-1 + 1 - 1) - 1 + 8 + 0) to z*j + x and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -1747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 216*b**2 - 2 - 224*b**2 + 4*b**3 + 1 + 2*b**4 as r*b + g*b**2 + m*b**3 + l*b**4 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 43*a - 405. What is b(28)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -9. Let p(s) = -2*s**3 - 5*s**2 - 5*s - 2. Let a be p(h). Let v = a + -21. Calculate the highest common factor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 9*z + 12. Let p be u(-10). Suppose p*y = -3*y + 20. Suppose 5*c = -2*r - 18, -4*c + y*r - 5*r - 15 = 0. Let l(d) = -d - 5. Give l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-3)\/(-6)). Let z = s - -4. Solve z*b + 5 = -7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 29*s - 1. Let z(h) be the second derivative of -h**5\/20 - 2*h**4\/3 - 7*h**3\/6 + h**2\/2 - 2*h. Let g be z(-7). Does 12 divide r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1600, 1599, 1598, 1597?\n\"Answer: -d + 1601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -14 - -12 - (-20359 - -4).\nAnswer: 20353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 62\/7*x**2 + 34\/7*x**3 + 12\/7 + 46\/7*x + 6\/7*x**4 = 0.\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341458.\nAnswer: 2, 670729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from onowowowwwnoooonn?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i + 25 = -40*i. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38300.\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2.22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 1 (c) -2 (d) 3\/22 (e) 1\/3 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2892847 milligrams to kilograms.\nAnswer: 0.0000002892847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221 - -223. Suppose -1377 = r*v - 19*v. What is the remainder when v is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**5\/3 - 212*x**4\/3 - 2572*x**3\/3 + 3188*x**2\/3 + 1848*x = 0.\nAnswer: -11, -1, 0, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + (80 - -21 - 92).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/6)\/(2\/(-4)). Suppose y*o - 4*w - 18 = -w, -5*o + 12 = 3*w. Suppose 6 = -d + o*d. Solve 0*v - 3*v - 21 = -d*j, -2*v = 5*j - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r + 2. Let n be i(-1). Suppose 2*j - n = -1. Let a be j\/(-6) - 4\/24. Is -0.05 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/14*12\/(720\/(-42))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 5*y**2 + 2*y - 7. Let b be z(5). Suppose 0 = -2*d + 7 - b. Suppose 0 = -d*x + 16 - 4. What is the greatest common divisor of x and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 102684 = -28*w - 4*v, 0 = -5*w - 2*v + 128404. What is the highest common divisor of 74 and w?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-1 + -6)*(-25 - -18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002716 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112 a factor of 352609594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155525?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 87977 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + sqrt(75) + 3)*-1 + (sqrt(48)\/sqrt(4) - (sqrt(363)*2)**2)).\nAnswer: 12*sqrt(3) + 5816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1396576 - 5762646. What is y rounded to the nearest 100000?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + n**2 + 5*n + 64. Let b(o) = -o**2 + o + 1. Let g(j) = -5*b(j) + t(j). What is the derivative of g(l) wrt l?\nAnswer: -6*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11207778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1260*m - 3*m**2 - 4*m**2 - 1251*m)*(0*m + 0*m + m) + m**3 - 1 + 1 as c*m**2 + w + u*m**3 + j*m and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68\/117 - -5347\/1872. Let s = 1013\/304 - l. Let t(c) = -c**2 + 4*c - 4. Let w be t(3). Do w and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/10)\/((-31)\/(-372))*(80\/36)\/(-4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 39*o - 212. Give t(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.39 (b) 2\/11 (c) -2\/7 (d) 5 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 11. Let t(h) = -2*h - 30. Let s be t(-15). Solve c = x + 3*u, x + s = u + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34221)\/2142 - -16)\/((-5)\/(-4)).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1059*d = 1032*d + 192*d - 230211 + 74967 for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 377\/2 + -187. What is the nearest to 16 in u, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107759351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/2)*d*d*(d**(-1\/16)\/d)\/d)\/(d**(-14)\/(d*d**(-1\/9))) assuming d is positive.\nAnswer: d**(2351\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -586, -532, -366, -34, 518, 1344, 2498, 4034?\n\"Answer: 9*d**3 + 2*d**2 - 15*d - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 5, -573476, -4.\nAnswer: -573476, -4, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63.03 - -62.63. Which is the nearest to 1\/3? (a) -1\/2 (b) p (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 14. Let f = -91 + 49. Let l be 4\/b*f\/(-4). Calculate the highest common divisor of l and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419.56ms in seconds?\nAnswer: 2.41956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k - 3*k + 2*k. Let s(a) = -56*a - 14. Let n(d) = d - 1. Let i(o) = -31*o - 45. Let p be i(-1). Let u(z) = p*n(z) + s(z). Determine t(u(v)).\nAnswer: -140*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 19552166300 to the nearest 1000000.\nAnswer: 19552000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*z**2 - 35*z**2 - 35*z**2 to the form o*z + c*z**2 + j and give c.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11 = -4. Let t(n) = n**2 + 14. Let k be t(w). Calculate the highest common factor of 21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1673000 + -285400.\nAnswer: 1387600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80*x - 293 + 149 + 144 + (-2 + 1 + 2)*(-3*x + 2*x + 0*x).\nAnswer: 79*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbnbnmnmmononntbt. What is prob of picking 1 n and 2 m?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**3 + 2*g - 2*g)*(2 - 2 - 2*g) - g + g + g**4 + (11 + 0 - 6)*(0*g**4 + 0*g**4 + 2*g**4) to the form s + f*g**4 + h*g**2 + k*g**3 + u*g and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 584239*h - 128 - 584189*h - 16 + (3 + 3 - 4)*(4*h - 4*h + 2*h) + 2*h + 4*h - 4*h + 4*h - h - 4*h.\nAnswer: 55*h - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -18*l - 1. Let p be n(-2). Let u be (-24)\/(-14) - (-10)\/p. What is the second derivative of -b**2 - 4*b + 2*b + 0*b**u wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/112 and 141\/140.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862191 is divided by 1071.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981038 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42770 - 27511. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -c - 131 + 116 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-3))\/((-10)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o**2 - 3*o - 11. Suppose -3*l + 2 = -4*x + 16, 4*x - 10 = l. Let n be p(l). Let f(r) = -21*r**3 - r**2. What is f(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 4:13 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 17. Suppose -r - 3 = -4*d. Suppose m = -3*l + 8, d = -4*m + 4*l + l. Calculate the remainder when 4 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 315.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + 23*n**3 + 0*n**2 - 2*n + 10*n**3 + 4963*n**4 - 4962*n**4 as t + o*n**4 + d*n + k*n**3 + x*n**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 6 = 15*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 plus -2403?\nAnswer: -2403.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 24*o - 167. Let j be f(-17). Solve -918 = -j*u - 933 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2262706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 487*q - 488*q - 38 = 0, 5*q + 22 = -3*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*1\/1*-1. Let x be (-536770)\/11152*(-2)\/l. Let c = x - -2\/697. What is the common denominator of c and 43\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1519 - -5.1359. Let o = 0.146 + -0.13. Let u = o + n. Which is the closest to 1? (a) -5 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 - 2. Let h = 0.5 + w. What is the second smallest value in 1, 0.1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017162981 to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -33, 4\/63, -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 977*i**3 - i**2 + 176 - 984*i**3 - 348 + 170 + 1152*i to the form l + w*i + k*i**3 + g*i**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - i = -10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 44*t**2 + 24*t - 124. Is y(8) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*m + 2400 = -91*m + 18*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.4 + -7.5. Is 11 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1945*(-2)\/(-5) - 5 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -112961.246 to the nearest one thousand.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16638?\nAnswer: 2, 3, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4531141?\nAnswer: -5\/4531141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 40, 51, 60, 67, 72, 75?\n\"Answer: -v**2 + 14*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 0, -2\/13, -8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 213183, 426357, 639533, 852711, 1065891, 1279073, 1492257?\n\"Answer: f**2 + 213171*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*4\/840*-4.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 17*h - 35. Let k be v(16). Let n = k + 25. Let a(u) = u**3 - 3*u**2 - 6*u - 8. List the prime factors of a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8128391mg to grams.\nAnswer: 0.0008128391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7654861.\nAnswer: 31, 246931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1495*v**3 - 2*v**2 + 5*v - 25. Let t(g) = -4486*g**3 - 6*g**2 + 16*g - 80. What is 16*j(i) - 5*t(i)?\nAnswer: -1490*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-8 - (-36 - -6)) + 39?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -520171 - -964159. Suppose -v = v - p. Suppose 3*x + 3*k + v = 0, -3*x + 10*k - 5*k - 222010 = 0. What is x rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 7608*o**2 + 84172*o.\nAnswer: -4*o*(o - 1913)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*o**2\/2 - 133614174*o + 411754 = 0 for o.\nAnswer: 2\/649, 411754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 10*i + 68. Calculate the lowest common multiple of 936 and j(4).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 40*x**2. Let g be a(40). Which is bigger: 2\/505 or g?\nAnswer: 2\/505","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003655 to seven dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 61 = 281. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1305 = -43*q - 19*q - 121 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 8. Let u = 2 + m. Suppose -15 = -u*q, l = -l - 2*q + 190. What is the greatest common factor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*m + 13, 11*m - 5 = 10*m + i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9332 plus -0.12?\nAnswer: -2.0532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 159. Let s = y + -93. Find the common denominator of 29\/18 and s\/(-36)*(-78)\/(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9806532 and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 16*j**2 + 23*j - 24. Let y be t(-14). Suppose -u - 3575 = -2*i - y, 0 = 3*u + 15. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - f + 73 = 0, 2*v = -5*f + 2*f - 47. Which is greater: -20 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1200 and 5886640.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -33 - 4\/(-3)*(-6)\/(-4). Let o = g - -34. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i + 12. Let q(l) = 7*l**3 - l**2 - 9*l - 8. Let m(x) = -11*x**3 + 2*x**2 + 14*x + 12. Let s(p) = 5*m(p) + 8*q(p). Determine s(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 15653 = 913. Calculate the highest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7*g - 2*r - 476 = 0, -364 = 3*g - 2*r. Calculate the remainder when 129 is divided by (-422)\/(-8) + g\/(-96).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**2 + 2121*k - 8438. What is v(4)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(49) + -2*sqrt(3136))\/(3*sqrt(7)*-1)*2.\nAnswer: 2 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -167*o**3 - 303. Let k(w) = 168*w**3 + 301. Let r(q) = -3*k(q) - 4*x(q). Differentiate r(h) with respect to h.\nAnswer: 492*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70556629*p - 1338470?\nAnswer: -70556629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 3*q**2 - 3*q - 2. Let y be v(-2). Let k(l) = -l**3 + 3*l**2 - 3*l - 5. Let w be k(6). Let t = -915\/7 - w. Is y <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000036375341 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 128*g - 53 = 132*g, 5*j + 27 = -2*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -7*p + 14 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 l, and 1 f when three letters picked without replacement from {n: 2, f: 1, l: 2, x: 1, d: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -28990000 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -q, 3*q = 3*u - 0*u - 57. Let c = 52 + -15. Let x = c - u. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*45\/(1485\/(-44)) - (0 - 11).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7271279 by 1.\nAnswer: -7271279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -74510, -74590, -74670, -74750, -74830?\n\"Answer: -80*n - 74430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - k - 4. Let c be y(0). Let g(l) = 10*l**2 - 5 - 13*l - 5*l + 21*l - 8*l**2. Give g(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 114*w - 55. Let g be d(-5). Let m = -162 - g. List the prime factors of m.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-141433)\/12888 - 14\/63. Let s = i - 32\/179. What is the common denominator of s and (10\/125)\/((-4)\/(-5))*27?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*n - 173*j**2*y + 29*j + n + 2*y wrt j.\nAnswer: 2*n - 346*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0.02, -1\/5, -22\/5, 1\/6, -3, -1?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4180390156.\nAnswer: 2, 1045097539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 120 = 5*k. Let p be (-6)\/k - (-15)\/20. Which is the smallest value? (a) -4 (b) p (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39414 and 39?\nAnswer: 512382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -155125 - -220142?\nAnswer: 21013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 + -fac00f?\nAnswer: -fabfe7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*q**2 - 231*q - 64*q**2 + 231*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*m - n, 190*m = 189*m + 4*n + 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*i. Suppose i*v + 315 = 9*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 28. What is the least common multiple of h(18) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750 = 75*t, 3*b - 2*t + 30 = 5*b - t + 4*t - 22 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 4, -12\/53, -55\/16?\nAnswer: -12\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 6:25 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -10026 + 10018, -h = 4*m + 16 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Which is the nearest to -0.1? (a) z (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i + 120. Let w be u(0). Suppose -19*x + 25*x = w. Calculate the remainder when (-6116)\/(-77) + 6\/(-14) is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13010 (base 4) to base 16.\nAnswer: 1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -972483, -1944969, -2917455, -3889941, -4862427?\nAnswer: -5834913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 12. Let i be x(-6). Suppose -3*m - 3*j + 27 = 0, i = -2*m - 3*j + 15 + 8. Suppose m*u + 2*u = 24. Solve 4*l - u = 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 + 10*l - 3. Let k be o(-9). Suppose -414 - k = -3*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 1148*d - 1121*d to g + p*d and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + sqrt(120)\/sqrt(6)*5 - sqrt(50)\/(-1*sqrt(10)*-4).\nAnswer: 47*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2360, 4, -5 in descending order.\nAnswer: 4, -5, -2360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.5, 1\/16, -5, 5?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1166, 4, -14 in descending order.\nAnswer: 1166, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 23*r = -27. Suppose -2*v - r - 5 = w, v + 7 = -4*w. Let t be ((-4)\/3)\/(v\/42). Solve -m + 3*m + 3*q = 7, 5*m - t = 2*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14100 is divided by 2276?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13*o**2. Let g(d) be the first derivative of d**3 - 67. What is u(g(f))?\nAnswer: 117*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 28 = -4*w, 13 = -2*q - q - w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 221*s**2 + 399*s - 134. What is v(-2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730989824.\nAnswer: 2, 2855429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.52 - 33.239. Let j = r + 1.719000951. Round j to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 20*j - 8832 = 0. Let c = 397 - j. Solve -3*w - 9 = -r, c = 2*w - w + 5*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 799622559\/2701370 + -44106\/149. Calculate the common denominator of g and -75\/2.\nAnswer: 18130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 295.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29\/9 + (-10)\/45. Suppose 436 = s*p - 5*w, 3*w + 47 = 2*p - 245. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**7\/315 - l**6\/75 - l**5\/50 - l**4\/90 - 48*l - 207. Let a(y) be the first derivative of d(y). Factor a(z).\nAnswer: -2*z**2*(z + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873520 to the power of 1\/2, to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*2 + -5 + sqrt(98))*6 - (sqrt(98) + 0 + sqrt(98) + 2 + -1).\nAnswer: -31 + 112*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47478 - 47478.1. Put 0, -29\/3, -4, i in ascending order.\nAnswer: -29\/3, -4, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 20*z**2 - 18*z + 6. Let h be b(-19). Let f(c) = c**2 + 6. Let p(u) = -2*u**2 - 13. Give h*f(t) - 6*p(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**3 - 2*n**2 + 4*n. Let w be v(-3). Suppose 0 = -4*b + 4*m + 100, -4*m - w = -5*b - 5. What is the highest common factor of 45 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 280.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-76)\/8 - (-5400)\/80 is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 1516787.8963?\nAnswer: -1516784.8963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38346439 to the nearest integer?\nAnswer: 6192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmljllmkauml. What is prob of sequence jm?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.02 (b) 2\/7 (c) -2 (d) -0.06566 (e) -5 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/7 + 851*a - 215748\/7 = 0. What is a?\nAnswer: -5993, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 743437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 0 - -18 - 32*(-24)\/(-192).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11401 (base 7) to base 10.\nAnswer: 2941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45946644 and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.293 - 0.55. Let o = -0.197 - v. Let b = -1\/156 + 317\/780. Does o = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 27. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + -3. Let a be (-1 + 0)\/(10\/x). Solve 15 = -a*d - d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*g + 22*g = -19*g - 63 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*g + 14, 19 = m - 0*m + 4*g. Is m greater than or equal to 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59470120261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -10. Let q = 18 + x. Solve 5*s - s + v = -9, -q*v + 2 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28759\/35425 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - 40 - (0 + 8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -309 - -309. Suppose -3*r + 3*q + 7 = 34, -4*q = -r - 21. Let a be (-2)\/r + 52\/(-180). Put a, l, -1 in decreasing order.\nAnswer: a, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/55)\/((-723)\/2651)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5386 is divided by 494?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2*42\/56?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.660679 micrograms to tonnes.\nAnswer: 0.000000000002660679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.543 and -0.1476.\nAnswer: -0.6906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.6. Let a = 0.1333 - -0.0667. Let b be 1\/(6\/22)*1. What is the nearest to 0 in b, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/209*(-2)\/22*(-231)\/168*4.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*o - 1. Let d be (6 - o) + -2*2. Solve p - d = -2*h, -h - p = -2*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from zzhkmme.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 24*q. Let i(l) = -6047*l**2 + 1. Calculate i(d(n)).\nAnswer: -3483072*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.1374.\nAnswer: -0.1374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*n - 3*n + 10, -2*a - 4*n - 10 = 0. Let l(s) = 3 + 11*s + a*s - s. What is the units digit of l(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1388*z + 569. Let l(r) = -2088*r + 853. Let i(u) = -5*l(u) + 7*t(u). What is the first derivative of i(w) wrt w?\nAnswer: 724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3 + 11. Let r be -1 - (2 + 6\/(-2)). Determine u so that -1\/5 + 2\/5*u**3 - 2\/5*u + 1\/5*u**d + r*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 30*k - 288. Let u be s(24). Calculate the highest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3598606 to the nearest integer?\nAnswer: 1897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 * 43\nAnswer: 12.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/6936 and -143\/24.\nAnswer: 6936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d*d**(4\/5)))\/d)\/((d*d**5)\/d))**(3\/17))**(2\/7) assuming d is positive.\nAnswer: d**(-234\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201346 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 5*a - 5*v, -2*a - 2*v + 126 - 32 = 0. Let f be 0\/(-1) - (-1 - 67). Let b = f - a. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564 = -5*b - 7*b. Calculate the remainder when b is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*(-4 + (-187048)\/(-12)). Round l to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 p, and 1 w when three letters picked without replacement from ekcpwcp.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 91, -5, 1\/60, 0, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273881, -273867, -273827, -273749, -273621?\nAnswer: -273431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1046, 1065, 1084, 1103, 1122?\n\"Answer: 19*u + 1027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c = -i - 23, 3*c - 4*i - 27 = 0. Suppose s + 3*z - c = 5*z, -40 = -5*s - 5*z. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 0. Suppose -5*k = -3*x - 247499985, -2*k + 3*k + 3*x - 49500015 = z. Round k to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 - m**2 + 14*m**2 - 3 + 3 - 3*m**2 + (2*m**2 + 4*m**2 - 5*m**2)*(-5 + 3 + 0).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152014?\nAnswer: 2, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 198*h - 201*h - 1002, -2*h = 4*d - 762. What is the greatest common divisor of 6513 and d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*sqrt(24)\/sqrt(3))\/sqrt(4))**2 - (sqrt(144)\/sqrt(2) - sqrt(162)\/sqrt(9)).\nAnswer: -3*sqrt(2) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 161*x**4 - 260885*x**2 + 93750163 wrt x?\nAnswer: 644*x**3 - 521770*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4 + 0 = 0, -2*h = -2*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -9*o. Let c(l) be the first derivative of o*l - 1\/3*l**2 + 1 - 1\/3*l**3. Let c(t) = 0. Calculate t.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/3 (c) -389454\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/5 - 2\/5. Which is the second biggest value? (a) i (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*d + 5*m, -11*d + 12*d + 3*m + 17 = 0. What is the fourth smallest value in 0, -2\/157, d, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 7311*t - 65880.\nAnswer: (t - 7320)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 19. Let v(t) = -697*t**3 + 1. Let k be v(u). Find the common denominator of 2 and k\/(-154) - 2\/7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.1868 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*m - 6, 3320*j = 3317*j + 5*m + 62. Let z = -3 - -7. Which is the biggest value? (a) z (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 4:50 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3*s - 1 = 6, 2*o + 2 = -2*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15770\/27 + -584. Let v(y) be the first derivative of 2\/9*y**2 + 0*y + 2 + j*y**3. Factor v(x).\nAnswer: 2*x*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1850, -3706, -5566, -7430?\n\"Answer: -2*j**2 - 1850*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Let u(m) be the second derivative of 205*m**4\/12 - m**3\/3 - 345*m. Determine u(f(y)).\nAnswer: 205*y**4 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 2*l**2 + l + 1. Let y be m(2). Suppose -3*z - 2*s + s = -13, 0 = -y*z - 2*s + 11. What are the prime factors of (1 - z*6)\/(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -590 - -588. Let r be (-1 - 8)*h\/6. Solve 4*i - 3*i + r = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/21 - 583656*b**2\/7 - 250138*b\/3.\nAnswer: -2*b*(b + 1)*(b + 875483)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3702.3807978 + -3698.5808. Let c = 3.8 - r. What is c rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*x + 5 - 37, -4*x - 12 = 3*c. Let g be 92\/(-22) - x - 4\/(-22). What is the units digit of (g - -262) + -2 - (0 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 3?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 169 - 71. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 40 = 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-22) - (-2)\/4. Suppose j + 16 = v*j. What is the greatest common divisor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*t + 894 - 109 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 29*s - 123. What is y(6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4596 a factor of 3976964760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25197383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*m + 456 + 1647 + 968. Solve -24*j + 133 - m = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 315, 617, 919?\n\"Answer: 302*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-702))\/(2\/(-12))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -9027.\nAnswer: -1\/9027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**7\/210 - 1739*r**6\/60 - 607*r**5\/20 + 644*r**2. Find the third derivative of j(o) wrt o.\nAnswer: 24*o - 20868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-12)*3\/2. Let v(a) = 0*a**2 + 0*a**2 + 2*a**n. Let m(o) = o**2. What is -5*m(f) + 3*v(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -544031 - 104?\nAnswer: -544135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 8 = -12. Let n be 8\/2 + (c - -2). Suppose 3*x - 18 = -3*x. Solve n*o - o = x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*p + 1467, 2*d + 980 = p + 2*p. Is (-1)\/(2\/(d*2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -138. Suppose 2*h + q = 549. Let a = 36 + h. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 7*f + 9. Let w be d(7). Let x = -3 + w. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 182\/2*(-10656)\/(-1008).\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(17) + 4 - (sqrt(153) - -2*sqrt(153)).\nAnswer: -4*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-24 - -16) - -5) + -16\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 + 339 = -11*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.120379 days?\nAnswer: 615200745600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*y - 87*y + 310*y - 24138 = -121*y for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43, 45, 47, 49?\n\"Answer: 2*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -153\/94495 or -1?\nAnswer: -153\/94495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:51 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*t - 118, -4*n + 2*t + 508 = -54. List the prime factors of n.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 3\/4 (c) -1\/5 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19825 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 2, 0.17, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663 divided by -1663?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 129752 = 3*w. Is ((-1)\/(-2))\/(0 + (-7)\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 0*u + 2*u + 1. Let v(r) = -43 + 9 + 21 + 11 + 6 - 4*r. Calculate -v(s) + 6*z(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-10) - (69\/(-138))\/((-5)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12358171*b**4 + 62505081?\nAnswer: -49432684*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8868 - -0.1132. Which is the third biggest value? (a) j (b) -2\/9 (c) -928\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373890787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 2*w**6\/15 + 7*w**5\/20 + 3*w**4\/4 - 16*w. Find the third derivative of x(z) wrt z.\nAnswer: 96*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -24*(2 - 1)\/(-3). What is the remainder when 15 is divided by (-2)\/x + 51\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/24 and 145\/138.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2 and 87\/208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 a factor of 115995327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 6) to base 16.\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of (104\/(-4))\/((3\/2316)\/((-2)\/2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100021031 (base 4) in base 15?\nAnswer: -148d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -8. Suppose 26*b = r*b - 12. What is the third derivative of 3*s**2 + 0*s**2 + 0*s**b - 9*s**2 + 4*s**3 wrt s?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2742151.\nAnswer: 17, 161303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 2*t - 25. Let i be v(-6). What is the remainder when 1\/((-126)\/21 + (-295)\/i) is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**6\/40 + g**5\/30 + g**3 + 11*g**2\/2 - 10*g. Let q(o) be the first derivative of l(o). Is q(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/7 - 46*n**2 + 1262*n\/7 - 942\/7 = 0. Calculate n.\nAnswer: 1, 3, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17934 divided by -6?\nAnswer: 2989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5242 - 2?\nAnswer: -5244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 56*i - 25*i + 39 = 26*i, 11*g + 5*g - 10*i - 42 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113.4 - -657.6. Let n = 881 - k. Which is bigger: n or -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1928 and 129658?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {i: 3, m: 3, s: 2, e: 3, t: 5, d: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1103013303 - 10?\nAnswer: -1103013313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1621582 + 2?\nAnswer: -1621580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -985414 less than 0.108824?\nAnswer: 985414.108824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2 - 2 - 8 + 13. Let r(o) = 3*o**2 + 1 - 4*o**2 + 1. Calculate -2*a(n) + r(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 4:05 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -524304 (base 7) to base 11.\nAnswer: -61986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxiod. What is prob of sequence io?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80988 is divided by 724?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*14*1\/(-16). Which is the biggest value? (a) 4\/7 (b) -1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-3) + 2 - (-7)\/21. Put -5, u, 2, -4 in decreasing order.\nAnswer: u, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 20\/(-2 + 6) - -2. Let w(t) = 4*t**2 + t - 7. Let k be w(r). What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 31. Let c = t - -53. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r. Let z(o) = -1. Let t(x) = x - 11. Let u(g) = -2*t(g) + 22*z(g). Determine u(l(s)).\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(-3*n + n + 4*n) + n + 0 + 0 + (2 - 6 + 5)*(-1 + 13*n - 7 + 9).\nAnswer: 16*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163482*k**2 + 62427*k + 2.\nAnswer: 326964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1822 + 3575\/2. Let u = h + 34. Which is the second smallest value? (a) -3 (b) -3\/5 (c) u (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 13*g**2 - 34*g + 22. Let v be r(-9). Solve 0 = x + 4*s - 0 + 6, v*x - 5*s + 3 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)\/(h*h*h**(-1\/4)*h)*h**(-1\/4)\/(h*h\/(h*h*((h**(-1\/2)\/h)\/h*h)\/h)) assuming h is positive.\nAnswer: h**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -20*c - 193. Give l(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 340 and 108840.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20*(-1)\/(-26)*(-351)\/54\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + 4\/(-2) - 1. Suppose 3*u = m, 3*u + 56 = 4*d + u. Solve -3*h + 3*q = -d, 5*h + 4*q - 1 = -3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 418*a**5 + 3737*a**4 - 2*a**2 + 29487346*a wrt a?\nAnswer: 8360*a**3 + 44844*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 346*u**2 + 26*u + 5. What are the prime factors of r(3)?\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 1536.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6) - ((-555)\/666)\/(1\/6)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0739684 years?\nAnswer: 0.00739684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m + 5. Let a(w) = -13*w - 9. Let b(n) = 3*n + 2. Let o(u) = -4*a(u) - 18*b(u). Determine o(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -30, -5, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 14) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 4*u - 6. Let l(v) = v - 4. Let i be l(4). Suppose i = 2*w - 0*w - 6. Suppose -30 = 2*n + n - w*f, -n - f = 0. What is p(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4 (c) 0.5 (d) -10 (e) -337774\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 435, 2, 0.3, -1\/4, -0.02 in increasing order.\nAnswer: -3, -1\/4, -0.02, 0.3, 2, 435","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**7\/2 + 8*j**3\/3 - 25*j + 27. Let y(q) be the first derivative of g(q). What is the second derivative of y(m) wrt m?\nAnswer: 420*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 230\/7 - 9\/(-63). Suppose -u*j = -31*j + 8. Let y(m) be the second derivative of m**3\/6 - m**2\/2 + m. Determine y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12226, -22820, -33406, -43984, -54554, -65116?\nAnswer: -75670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*(-8)\/12. Let q(a) = 22*a**3 - a. Is q(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iig when three letters picked without replacement from cgcccciiiggg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 31*t - 1911. Let a be x(31). Solve -32 = -4*h - 3*l, 18*l = -h + 22*l - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 395542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -219335? (a) -95 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006948389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2*o**2 - o**2 + (41 - 41 + 20*o)*(o + 2*o - 2*o).\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -761 or -758?\nAnswer: -761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 9*z**2 - z - 17. Let t be k(13). Let j = 1236 + t. What is the common denominator of j\/24*4\/10 and 95\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12664 + -12665.07. Which is the biggest value? (a) 5 (b) -1.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2732 - -2754. Calculate the remainder when 820 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 2*i - 3. Let t = -2 - 2. Let w be z(t). Suppose 0*h + w*h = 15. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010 - 111?\nAnswer: -100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}