diff --git "a/data/dm_maths/full_data_1/1430_11255.jsonl" "b/data/dm_maths/full_data_1/1430_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1430_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the tens digit of 158682174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2659.840456929 - 0.4.\nAnswer: -2660.240456929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4032)\/(-13824))\/(3\/16).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + t + 721 = 0, -2*i - 3*t + 0*t + 499 = 0. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 3, 6, 11, 18?\n\"Answer: f**2 - 2*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16482 + 31785. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156 + -135. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4477646 - 13?\nAnswer: 4477633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 1488*d**3.\nAnswer: 4*d**3*(d - 372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/3)\/((-8)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12))\/((-4)\/96*4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-7)*v*v*v\/((v*v**(1\/3))\/v*v))\/((v*v*v*v*v*v\/(v**(-13\/4)\/v)*v)\/((v\/v**(1\/5))\/v)))**(4\/35) assuming v is positive.\nAnswer: v**(-107\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 10*n + 14. What is o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 809161*c - 465221.\nAnswer: 809161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 289 (b) -1 (c) 24\/5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**0*g*g*g)**(2\/35))**(9\/5) assuming g is positive.\nAnswer: g**(18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1523.84 and 6.\nAnswer: -9143.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 11. Let w be ((1 - -2) + -4)\/1. What is the smallest value in -1\/4, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide -2 - -2 - 156*(1 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 291195*f**2 - 2231164 with respect to f.\nAnswer: 582390*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.12. Let d = -0.18 + h. Which is the third smallest value? (a) -0.1 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 6*o - 6. Let g be s(4). Suppose 0 = 3*m - 2*m + g. Let v = 1 - m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2204 (base 10) to base 7\nAnswer: 6266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 + 34*a - 3. Calculate z(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2749809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-3)\/(-1))\/3. Suppose h*q + 3*q - 47 = -d, 0 = 5*q + 3*d - 77. Find the third derivative of 3*r**5 + 0*r**2 - 7*r**5 - 2*r**2 - q*r**2 wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1476*m**2 + 17*m + 723 wrt m.\nAnswer: -2952*m + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x - 761*x**2 - 5186*x**3 + 3 + 2585*x**3 + 2602*x**3 - 1 to i*x**3 + t*x + u + y*x**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.185980373 rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:06 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.383 - 0.383. What is the third biggest value in -2, q, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153110 + -41?\nAnswer: 153025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*d + 9937, -34*v = -33*v - 5*d - 2009. What are the prime factors of v?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t + 80. Let z be (-9)\/15 + 3172\/(-80). Let q = z + t. Are 0 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (182\/(-39) - -5)\/(1\/123). What is the greatest common factor of m and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*m - 122*m + 4*h - 1 = 0, 0 = -2*m + 7*m + 7*h - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13478 and 2837809?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 573 = -1975. Let h be 4\/c - 10\/65. Put -3, -2\/5, h in ascending order.\nAnswer: -3, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -r + 24394, 5*r - 48*g - 121922 = -51*g. What are the prime factors of r?\nAnswer: 2, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 90 + 117 = -5*n, 5*n + 12 = -r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4425\/8 + 16\/(-128)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 2*u**2 + 16 - 36 to f*u + s + v*u**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/144*-8)\/(6\/264*-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 443276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (20 + -9 + -8 + 19).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-5\/4)*g*g\/(g**11\/g)*g**8\/(g**2*g) assuming g is positive.\nAnswer: g**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 7 = -11*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000573494 to the power of 1\/2, to the nearest integer?\nAnswer: 54777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbmmmmmmbmmmmmmmmmm. What is prob of sequence mbmb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -323 - -2556040?\nAnswer: 2555414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3406165865.\nAnswer: 5, 681233173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 507825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*22 + (-4964)\/(-221)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {o: 3, h: 10}?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -68*x**2 - 48*x + 1280 = 0.\nAnswer: -80\/17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.12, 3, -11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = -5*v - 26, -2*k = 5*v + 35. Suppose 0*w - 2*w = -146. Let i(j) = -64*j + w*j - 3 - 2. Let q(a) = -5*a + 3. What is k*q(y) - 3*i(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -17 (b) -640 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 0. Suppose 3*q - c = 2*c + 27, q - v*c - 19 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 42 = 38. Let d be b - (6 - (-2 - -5)). Let t = 262 - d. Calculate the highest common divisor of 98 and t.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9257784.1 + -2909.\nAnswer: 9254875.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366649 is divided by 991?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 25 = -80. Let l = z + 10. Is l not equal to -6\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-1)*(55\/10)\/(-1). Find the common denominator of 53\/166 and (o\/(-6))\/((-12)\/18).\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 931563.356 to the nearest ten thousand.\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 333286 and -16?\nAnswer: -5332576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.3999998548 + -42.4. What is r rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 136\/(52632\/(-645))*(-2)\/((-6)\/9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.14, 5, 1\/12, 4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-3) + (-5)\/3)\/((-1)\/2)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yskxf. What is prob of picking 1 k, 1 x, and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56*1*(-87)\/(-3045)*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 951*j**2\/4 + 945*j\/2.\nAnswer: 3*j*(j + 2)*(j + 315)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 7*z**2 + 24*z - 21*z. Determine w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208 and 2.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 993, 1005, 1033, 1083, 1161, 1273, 1425, 1623?\n\"Answer: l**3 + 2*l**2 - l + 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - -7) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and 990474.6.\nAnswer: 2179044.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 3, -23, -2\/11, 45?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (3 + 3 + (sqrt(190) - (-4*sqrt(190) - sqrt(190)) - sqrt(190))\/sqrt(10) + -2)**2) + -2.\nAnswer: -2966 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77.023 + -0.023. Which is greater: c or 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4 - (-9)\/(-36))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f**2 - 3027692*f - 756924 = 0.\nAnswer: -1\/4, 189231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23768 = -8*f + 139432. Suppose -1951 + f = 33*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2261, -2207, -2153, -2099, -2045, -1991?\n\"Answer: 54*m - 2315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6292953569 rounded to 2 dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 + 3 - 4 - 4566*a**3 + 4568*a**3 - 3*a**4 + a**2 to the form w*a + g*a**2 + c + h*a**4 + v*a**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {z: 16, x: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 52*n**3 - n**2 - 7*n - 5. Let w be k(-1). Let i be w\/(-9) + ((-21)\/(-9) - 3). Solve 2*f + 7 = -i*d, 0*d + 5 = -5*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -147\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 38575?\nAnswer: -694350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aab - 16?\nAnswer: -ac4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -18*r. Let n(j) = 442*j. Let s(i) = -11*i. Let o(m) = 3*n(m) + 119*s(m). Calculate -6*b(t) - 7*o(t).\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 (base 3) in base 11?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 2910*j - 2907.\nAnswer: -3*(j - 969)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -23*g**2 - 3*g. Let u(m) = 45*m**2 + 6*m + 1. Give 5*q(r) + 2*u(r).\nAnswer: -25*r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 6*a - 2. Let u be k(6). Let w be (u\/4)\/((-3)\/30). Suppose 0 = -w*y + v + 748, -y - 4*v = 3*y - 584. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3123543979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 79, -2\/5, 3\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 2:23 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25053 and 10737?\nAnswer: 75159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/80)\/(2\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.59 - 0.59. Let p = s + -27.4. Let x = -1.6 + p. Which is the second biggest value? (a) x (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**3*r + 11*l**3 + 1597*l**2 - 1740854*l*r + 2*l - 7 wrt r.\nAnswer: -2*l**3 - 1740854*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 - 3*c + 13. What is g(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v**2 - 4 - 9*v**2 + 6 + (-2*v + 5*v - 4*v)*(129 - 8*v - 129) in the form b*v**2 + l*v + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119876?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.169 and 17?\nAnswer: -138.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12360?\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o + 80 = 0. Let x(j) = 5*j**2 - j + 27. Is x(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098058 is divided by 19607?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62*(-7)\/168 + 2\/6.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**3 - 2*j**2 + 3*j + 5. Let u(w) = -4*w**3 - 2*w**2 + 2*w + 4. Suppose 4031*v - 42 = 4045*v. What is v*u(a) + 2*s(a)?\nAnswer: 2*a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-154)\/(-140)) - 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550*h - 20 = 548*h. Solve z + h = -3*p, 2*z + 2*p = -z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29.5 and -3594177889228.\nAnswer: -3594177889257.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h = -37*h - 21 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6148 + 61601\/10. Let b = -163543 - -485407\/3. Let d = -1765 - b. Calculate the common denominator of s and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {p: 2, l: 1, g: 1, b: 1, r: 1, m: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbs when three letters picked without replacement from xbsbsxxxs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*i + 0)*(0*i**2 - i**2 - i**2) + 73*i**3 + 61*i**3 - 22*i**3.\nAnswer: 108*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 539.33013ms in days?\nAnswer: 0.000006242246875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24420 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-54) + (-1845299)\/5319. Does v = -348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*n**4 - 16578*n**3 + 12768*n**2.\nAnswer: 3*n**2*(n - 112)*(49*n - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 - -3.1. Sort v, -2, 4.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 13*y - 9. Let v(h) = -2*h + 13. Let i = 27 + -29. Let o(u) = u - 4. Let r(f) = i*v(f) - 7*o(f). Calculate -2*k(m) - 9*r(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from {v: 1, x: 1, r: 1, l: 2, n: 2, m: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298, 496, 482, 148, -614, -1912?\nAnswer: -3854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s - 286 = -4*k, 9*k + 0*k - 2*s = 30 + 23 - 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 + b**2 - 3*b**2 + (2*b - 3*b - b)*(-2*b + 0*b + b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**2\/3 - 304*s\/3 - 302\/3 = 0.\nAnswer: -151, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaamaaaoaaaaaaanako.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1657.4010189 - 1657.4. Round j to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvcvveeccc. Give prob of sequence ee.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-1))\/((-40)\/40).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**2 + 4156*q + 20863. Determine v(-5).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56011081.\nAnswer: 7, 37, 216259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 81223\/13926 + 2\/2321. Which is the closest to -4? (a) x (b) -2\/13 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 7. Suppose 3*t + o = -16, -4*t + 20*o = 25*o + 36. Let l be i(t). Let n(k) = 3*k + 13. Let y(p) = -p - 6. Give l*n(z) - 7*y(z).\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 67, 51, 25, -11?\n\"Answer: -5*h**2 - h + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let r(t) = 10*t + 25. Let a(z) = -r(z) - 3*x(z). Let o(f) = 200*f + 995. Let h be o(-5). Let k be a(h). Solve -k = -4*q - 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 4*k = 162. Let l be (-36)\/k*2\/4*6. Let z(d) = -d**3 + 5*d**2 + 2*d. Give z(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 + (-17)\/3. Let x = -13 - i. Let k(g) = g**2 + 7*g + 4. Let z be k(x). Let y(a) = -4*a. Let h(u) = -u. What is z*y(o) - 18*h(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16810 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035473146 rounded to 5 decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001153829441 to 6 decimal places.\nAnswer: 0.001154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, 2, 9 in decreasing order.\nAnswer: 9, 2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 6:13 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 56*r - 1282. Give h(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.3, 9.5, 3\/8, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.91603 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270\/(90\/6) + 338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v + 1. Let m = v - -14. Calculate the highest common factor of 75 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/11, 1\/2, -5, 0, 1, -442, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7797.73 + 7759. Let z = -39 - l. Let t = 0.382 + z. What is t rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18040 and -185?\nAnswer: -3337400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16481837.4 - -4105.\nAnswer: -16477732.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 224956249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189855*g + 6*g**2 - 189855*g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/4 - (-1)\/4. Suppose s*g - 5*t + 8 = 32, 7 = -g - 2*t. Let a be (-2 + 48\/15)*(1 + 4). Solve -g = -d - a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320102 and 2378?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*g - 106*g - 406*g - 71*g.\nAnswer: -811*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 944170115 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 675, 5530, 18831, 44802, 87667, 151650, 240975?\n\"Answer: 704*p**3 - p**2 - 70*p + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14637*c + 7322*c + 54 - c**3 - 72 + 7315*c.\nAnswer: -c**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 7) to base 14\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**3 - 104*q**2 - 40471*q + 237929111.\nAnswer: -9*q**2 - 208*q - 40471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3*r + 60, 46*r - 136 = 5*q + 139 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -28576003?\nAnswer: -3\/28576003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8 = -2*y + 53, -3*d = -y + 23. Solve y*b + 12 = 16*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 5*z**2 - 8*z + 4. Let s be i(-6). Let t(u) = u + 48. Let j be t(0). Calculate the highest common factor of s and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 3*a**2 + 14*a - 7. Calculate s(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264935 plus -1495.62?\nAnswer: 263439.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5562515, 5562487, 5562459, 5562431, 5562403?\nAnswer: 5562375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6663, -6667, -6671, -6675?\n\"Answer: -4*o - 6659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492089 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1577819*w - 12622525. Give f(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128938449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/112*(-8)\/(-2). Are y and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -70. Suppose -5*v - p = 0, 2*v + 23 = 2*o - v. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 59\/(1236\/(-138) - -4 - -5). Suppose w = 13*k - 99. What is the greatest common divisor of k and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Suppose j*v - 4 = 2. Solve p = 4*w - v*w + 11, -4 = p + 3*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 9*r**2 + r + 1. Let f be p(-9). Let h = 12 + f. Calculate the greatest common factor of h and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-18\/11)*k**(-11\/6))\/((k**(-5)*k)\/(k\/k**(10\/7))) assuming k is positive.\nAnswer: k**(47\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/451 - -972\/3157. Let i be (2\/(-4))\/((-2)\/12). Let s = -0.11 + -0.29. Which is the nearest to 0? (a) i (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 283773 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 45. Let z(d) = -4 + 5*d**3 + m + 828*d**2 - 826*d**2. What is z(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 16*n**2 - 72*n + 596. What is the remainder when p(13) is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l + 22. Let a be u(-5). Let d be 3 + -2 + -11 - a. Let j(f) = -f**3 - 8*f**2 - 9*f - 7. Let m be j(d). Solve m*n - 12 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 10*d**2 - d**4 + 9*d**2 - 4*d)*(-6 + 3 + 2).\nAnswer: d**4 + d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -3. Let k be 6*(5\/2 + 1). Solve 3*m = u*i + k, -3*m = -3*i + 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -2)*(-1)\/(2 + -1)*-1. Are i and -19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/52 and -181\/12936?\nAnswer: 168168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 smaller than -3589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-93834)\/(-99) - 2\/(-11)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -142, -136, -128, -118, -106, -92?\n\"Answer: y**2 + 3*y - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*c**2*s**4 - 159006*c**2*s**3 - 4*c**2 - 1331139*s**2 wrt s.\nAnswer: -792*c**2*s - 954036*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + -128. Let c(g) = g**2 + 10*g - 6. What is c(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37945198 to the nearest integer?\nAnswer: 6160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4 + 12*d**3 + 8*d**2 - 48*d - 64 = 0?\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, p: 2, l: 7}. Give prob of sequence llp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 10*c - 3. What is x(9)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5162 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*a - 4 + 4*a**2 - 2\/5*a**3 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**5 - 95*a**4\/2 + 2285*a**3\/3 - 4560*a**2 + 11520*a - 1166. Factor c(o).\nAnswer: 5*(o - 16)**2*(o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y)**(-1\/40)\/(y*y**(1\/4))**(-10\/13) assuming y is positive.\nAnswer: y**(539\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 446\/9 - 50. Let y = 115 - 117. Which is greater: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-328)\/(-10) + 0 + 4\/20. Let b be x - -2 - (-6)\/(-2). What is the highest common divisor of 128 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739321587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, y: 5}. What is prob of sequence ynyn?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 263*z**4 - z**3 + z**2 - 4*z - 264*z**4 as b + c*z**2 + f*z + r*z**4 + m*z**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crprprrpcpcrcppcpp. Give prob of sequence prc.\nAnswer: 25\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 62, 67, 72, 77?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(51) - ((sqrt(51) - (5*sqrt(51)*-1 - sqrt(51)) - sqrt(51)) + sqrt(51)))\/(-2*sqrt(192) - sqrt(3)).\nAnswer: 30*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = -15*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1464.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6726598653 + 5079.\nAnswer: 6726603732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 6*n - 34. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1913714 times 33?\nAnswer: -63152562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160.84 + -0.84. Let h = 82 - d. Let z = h - -78.1. Which is bigger: z or -1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 10, -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 2\/3, 1\/3, -0.4, 1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (305838\/(-19605))\/((-1)\/5*2).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1 = x, 3*x - 2*l = 2*x + 2. Suppose -8*i = -x*i - 8. Suppose -i*b + 18 = b. Solve 0 = -3*y + 9 + b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**7\/210 - 13*s**5\/30 - 71*s**3\/3 + 5*s**2 + 5*s. Find the first derivative of k(o) wrt o.\nAnswer: 4*o**3 - 52*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984385 is divided by 330?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w - 4. Let g(h) = -4*h**2 - 11*h + 4. Let u(y) = y**2 + 3*y - 1. Let r be 25 - (4\/(-2) - 1). Suppose 6 = m + r. Give m*u(t) + w*g(t).\nAnswer: 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 61*n**3 - n**2 - 6*n - 12. Let z(h) = 61*h**3 - h**2 - 7*h - 14. What is -7*x(r) + 6*z(r)?\nAnswer: -61*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -56*s**5\/23 + 390*s**4\/23 + 6080*s**3\/23 - 15250*s**2\/23 - 84924*s\/23 - 22880\/23 = 0. Calculate s.\nAnswer: -8, -11\/4, -2\/7, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 2:40 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-894 + 1162 + 1305)*((-3 + 4 - 3)*(4 - 4 + 2*t) - 4*t + 5*t - 3*t + 2*t + t - 2*t).\nAnswer: -7865*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(125) - ((sqrt(125) + -3)*-2)**2) + (-2 + sqrt(125) + -2)**2 + -2)*-1.\nAnswer: -85*sqrt(5) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.7 + 3.7. What is the closest to -3 in 0.2, -2\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 5236033.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61 and -1.22073.\nAnswer: -62.22073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 34 + 15)*(-3 + 6 - 2)*(-d - 2*d**2 + d).\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 11:24 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111856 (base 9) to base 10.\nAnswer: -67038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 5 + 23 = 0. Find the third derivative of 0 - 120*l**z + 1 + 2*l**3 + 32*l**2 + 57*l**4 wrt l.\nAnswer: -1512*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -190.5 - -191.5. Let t(w) = -w**3 - 5*w**2 + 8*w + 7. Let s be t(-6). Put s, a, -4 in ascending order.\nAnswer: s, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 6:41 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 33, 45, 59?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3, k + 2*s = 3*k + 2. Which is the closest to 0? (a) -4\/9 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370680 and 7032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17216 and 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41526536*r**2 - 18*r + 1907838 wrt r.\nAnswer: -83053072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 6*g**2 + 10*g + 9. Let y be a(-6). What is the greatest common factor of 66 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -4?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 3:50 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1039*h - 697 = -1080*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3082, 6316, 9550?\nAnswer: 12784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-30815.\nAnswer: 3081.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(-1\/69))*s*s**(-14))\/(s**14\/(s**(2\/7)\/s)) assuming s is positive.\nAnswer: s**(-13876\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*j**3 - 29*j**4 + 38*j**3 - 190*j**2 - 83*j**2 + 81*j**4 - 50*j**4 wrt j.\nAnswer: 48*j + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200112221 (base 3) in base 6?\nAnswer: -142341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616*n - 1127*n + 523*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(4\/15)*j**(-2) assuming j is positive.\nAnswer: j**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25053 (base 6) to base 4.\nAnswer: -321321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (5 + (14 - 39))) + 39.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1170 is divided by 120?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.6 + -9. Let z(m) = -2*m**3 + 16*m**2 + 10*m - 76. Let s be z(8). What is the nearest to 0.1 in s, 12, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*k + 7*k + 125 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 31. What is k(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2. Let g(v) be the third derivative of v**3\/6 - 3*v**2. Let w(x) be the third derivative of x**5\/60 + x**3 + 5*x**2. What is p*w(h) + 6*g(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**4 - w**4 + 4*w**2 - 3*w**2)*(-3 + 5 - 1) in the form c*w**2 + r + y*w + p*w**3 + z*w**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j. Let i(w) = w**2. Let x(a) = 9*a**2. Let z(h) = 40*i(h) - 5*x(h). What is l(z(p))?\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122743?\nAnswer: 181, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*s - 2472*k - 206 = -2471*k, 3*s - 6 = 3*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*h**2*s**2*u + 640*h**2*s*u - 10*h**2*u + 57*h*s**2 + 24*h*s - h*u - 4*h - 14*u wrt h?\nAnswer: 62*s**2*u + 1280*s*u - 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 344516, 688975, 1033434?\n\"Answer: 344459*g + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*l = -876*l - 13277 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(180)*2.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 496 - 496. Let d(f) be the second derivative of -1\/2*f**5 + 0*f**2 + j + 0*f**3 - 7*f + 1\/2*f**4. Factor d(k).\nAnswer: -2*k**2*(5*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 times -1\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2600 divided by 3\nAnswer: 2600\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1686960 + 67.8719\nAnswer: 1687027.8719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 358263 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 100*m + 61*m + 13 to b + u*m and give u.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 8*l**2 - l - 9. Let d be q(-8). Put -3, -5, d in decreasing order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 712 and 75739?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 865202784107\/633385212302 + -168\/45003923. Let j = n - 39\/31. Calculate the common denominator of 27\/8 and j.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 867 and 5559.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2174*h + 1087*h - 1646*h + 1915*h to the form i + k*h and give k.\nAnswer: 3530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7652722 minutes?\nAnswer: 45.916332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34049090 - 0.47?\nAnswer: 34049089.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2517571 + -13.98228?\nAnswer: -2517584.98228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(60)*5)\/(sqrt(6) - -1*sqrt(24)\/sqrt(4)))\/((sqrt(5000) - -3*(sqrt(5000)*-2 + sqrt(5000))) + sqrt(5000) - sqrt(5000)).\nAnswer: sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -398 (base 15) to base 2\nAnswer: -1100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 9*w**5 - 69*w**4 + 123*w**3 + 9*w**2 - 132*w + 60 = 0.\nAnswer: -1, 2\/3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 163 = 139. Let p(o) = -o**2 + m*o + 8*o - 22*o + 5. Calculate p(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 - (7 - -39 - 110)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Let j = -1 + i. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -7\/24*o**4 + 5\/6*o**3 + 0 + o**2 + 0*o + 1\/60*o**5. Suppose 0 = 4*c + 20, 0 = 3*d + c - 10. Calculate f(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = d + 15, 34*d - 9 = 5*k + 8*d + 24*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 53\/4 of a kilogram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8309 - 2310. List the prime factors of k.\nAnswer: 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -12, -3*h + 95 = -5*v - 4. Let l(a) = a**2 + 17*a - 26. Give l(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.4961 and 33.\nAnswer: 181.3713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 190003.9 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**5*v + 25*u**4*v + u**3*v - u**2 + v - 13 wrt u.\nAnswer: -60*u**2*v + 600*u*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6c (base 13) to base 11\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 7*f**2 + f + 44. Determine a(7).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5))**(-13\/2) assuming b is positive.\nAnswer: b**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 2*x**6\/3 + 13*x**4\/2 + 10*x**3\/3 + 23*x**2\/2 + 3*x - 1453. What is the third derivative of c(f) wrt f?\nAnswer: 240*f**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1 = -2*u, -5*u + 2*g = 4 + 3. Let y = -1 + 1. Let z = -0.5 + 0.1. Which is the second smallest value? (a) u (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(162) + 0 + sqrt(162)))**2.\nAnswer: -36*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*l, 0 = 4*n - n - l - 12. Suppose -50 = -0*z - n*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**(-1\/24)*c**(2\/9)\/c*c\/(c**5\/c) assuming c is positive.\nAnswer: c**(-541\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3422934?\nAnswer: 2, 3, 397, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q + 0*q + 11*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 10*m**2 + 4*m - 20. Let p be v(10). Solve -y = -6*y + p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*w - 2*w + 36, -5*v + w - 24 = 0. Let h(u) = u**3 + 5*u**2 + 4*u + 3. What is the units digit of h(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 + 0)\/(-1) + (-15 - -6*(-513)\/(-162)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 63 = 20*t + 3*q, 0 = 2*q + 2. Let g(c) = -c**3 - c**2 + c + 16. Let m be 2 + -4 + 1 + 1. What is the smallest common multiple of g(m) and t?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -300315 + 12?\nAnswer: -300303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.17500686 to 2 decimal places.\nAnswer: 6.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 3*x**2 - 2*x**2 - 2 + 2 + 2*x**2 - 3 - x**2 + 3 + (-2*x + x + 3*x)*(1 + 2*x - 1) + 2*x**2 - 6*x**2 + 2*x**2 + 3 - 3 - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 583, 549, 515, 481, 447?\n\"Answer: -34*a + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -7.8, -1220\/7, -30 in decreasing order.\nAnswer: 0.03, -7.8, -30, -1220\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06285189889 to three decimal places.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2836 and 52381.30329.\nAnswer: 49545.30329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**3 - w**2 + 6*w + 13. What is p(-3)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (12 + -8 + -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 1. Let h be r(-5). Suppose 3*x - 9 = 2*k - 5*k, 3*x + h*k - 8 = 0. Solve 3*w = -2*c + 3, -4*c + 5 = 3*w - x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*m**3*y**2 - 18*m**3*y + 4*m**3 - 9*m**2*y**2 - 3034*m**2 + 12*m*y**2 + 19*y**2 - y wrt y?\nAnswer: 16*m**3 - 18*m**2 + 24*m + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11655 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.035 in 0.1, -1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 7794085.\nAnswer: 7794063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m - 17 = 0. Is 17 not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzl when three letters picked without replacement from {l: 7, z: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*t**2 - 14096044*t + 14096044*t.\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 189*q**2 + 2459*q + 20. Give r(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11532 is divided by 5614.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2 - -1194 - (-5 - -12) a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1647*a + 30298 - 78289 = 5865*a - 258891 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10376 - -32871. List the prime factors of y.\nAnswer: 5, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5522 and 20624670?\nAnswer: 20624670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 2. Suppose 13 = 3*h + 5*x, -3*h + 6*x = 3*x - 45. Calculate the smallest common multiple of z and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(5\/4))**(1\/39)*(q\/(((q\/(q**(-7)*q))\/q*q)\/q))\/q**(-1\/3) assuming q is positive.\nAnswer: q**(-243\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.17, 4\/3, 0, 5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 19032?\nAnswer: 19032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7010925, -7010835, -7010743, -7010649, -7010553?\nAnswer: -7010455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49457 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/4*3)\/(5\/(-1020)). Let h = 167 - b. Solve h*s = 18*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -989*t**5\/12 - 3*t**4\/8 - 305*t**3\/6 + 2304*t**2. What is the second derivative of p(a) wrt a?\nAnswer: -9890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5117 + 56 - 1958 - 3190)*(-2*l - 2*l + 0*l).\nAnswer: 40836*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/3, -0.00673, 4, -4, -1?\nAnswer: -0.00673","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 2*t**2 - 26*t - 70. Let c be f(-3). Suppose -3*y + c = 2*i, y - 5 = -2*i + 2. Solve -y*s - 81 = -86 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -17. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.03, 3, -0.72, -37\/5.\nAnswer: -37\/5, -0.72, -0.03, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 20.000017. What is r rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1\/3, -45, 9, 34.19 in increasing order.\nAnswer: -45, 1\/3, 1\/2, 9, 34.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 2*q**2 - q - 3. Let j be a(-4). Let x be -1 + (-6)\/(-10) + 187\/55. Suppose -33 - j = -x*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 * -426\nAnswer: -86052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 10:44 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 2*g + 1. Let q(d) = -22*d**2 - 9*d + 7. Calculate 5*k(i) - q(i).\nAnswer: 12*i**2 + 19*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 307 = -4*g. Suppose -5 = 3*z - 5*o - g, 0 = 5*z - o - 189. What is the remainder when z is divided by (0 - (1 + 0))*-13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9012416 + 14459363. Let s = r + -1146947. What is s rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 3*l - 10. Give y(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58611 - 59796 = -15*b. Calculate the remainder when 183 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.05 - 1.96. Let c = 2.08983 - v. Round c to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 20. Suppose -2*l + 2 = 2*n, 2*n + 10 = l - 0*n. What is the lowest common multiple of u and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17764 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1460787, -2921772, -4382757, -5843742, -7304727, -8765712?\n\"Answer: -1460985*b + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15 - 48*p**2 + 48*p**2 + 2*p**3 wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 7*w - 3. Let h be l(3). Let b be (-11)\/(22\/(-4)) + 30\/h. What is the third biggest value in 3, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 times 9\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (218\/14170)\/(2\/(-70))*40\/28?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/2 - 17*a**4\/2 - 111*a**3\/2 - 343*a**2\/2 - 244*a - 120 = 0?\nAnswer: -5, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57295, -55432, -52327, -47980?\nAnswer: -42391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.9 - 0.1. What is the smallest value in -1\/30, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 0)*(-5)\/3. Let c(q) be the second derivative of -q**4\/12 - 2*q**3\/3 + 7*q**2\/2 + 3*q. Let h be c(r). Solve -h*y + 0 = -6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x = 42*x - 154 + 2942 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 - -11.5. Let q = g + -13.60000118. What is q rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3338 + 4685 - 2626)*(-4*s + 2*s + s) to the form a + l*s and give l.\nAnswer: 1279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -0.4, -0.04822 in decreasing order.\nAnswer: 0.11, -0.04822, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245 + 247. Solve 3*k + 13 = 2*v, -4*k = g*v + 15 + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 - 157 = -45*d - 80 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1769148623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 14) to base 13.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, l: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38390 + -1?\nAnswer: -38391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*b - b - 6, 0 = -5*b - x - 30. Suppose -2*d + 14 = -2*s, 5*d + 0*d + 19 = -4*s. Is s != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 - 107 = -v - 2*z, -4*v + 786 = -2*z. Calculate the smallest common multiple of (v\/45)\/((-1)\/(-3)) and (-36)\/(-5) + (-2)\/10.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75194*j**2 - 75146*j**2 + 150367*j**2.\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -45. What is the second smallest value in 4, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4274 - 4083. Put 5, 1, -1, -4, u in descending order.\nAnswer: u, 5, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:57 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 + f. Suppose 0 = -15*k - 15 - 15. Calculate v(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-618)\/824)\/((-1)\/(9 + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1392 and 52766718.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 15) to base 3.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1760*v + 4106*v + 119646 = 0 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2330323585 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a kilometer in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336426519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1980) + (sqrt(1980) - (sqrt(1980) + 2*sqrt(1980)) - sqrt(1980))))\/(sqrt(176)*1*1 + sqrt(176)).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 1. Let c be s(3). Suppose 4*w = -3*j + w + 6, j - 4*w = c. Suppose 0 = -q + 3*m + 12, -8 = -0*m + j*m. What is the closest to q in 0.1, 5, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**5 - 1756*o**4 + 507202*o**3 - 49593056*o**2 + 322896000*o = 0.\nAnswer: 0, 7, 248, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 1:11 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 42*r + 423. Let z be s(-13). Solve -7*p = 236 - z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**33)**39\/(p\/(p\/p**(3\/5))*p)**(-28) assuming p is positive.\nAnswer: p**(6659\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {g: 6, m: 1, s: 1, d: 4, a: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 87?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 7*x**2 + 1. Let w be l(-7). Let f(h) = 13*h - 1. List the prime factors of f(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 t when three letters picked without replacement from xioxitttiixitix?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from mqggg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -237, 1, 5, 6, 10 in increasing order.\nAnswer: -237, 1, 5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/13536 and 73\/3243.\nAnswer: 311328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/66 and -139\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 + 16 = 0. Let y(b) = -2*b**3 + 5*b**2 + 6*b - 9. Let a(h) = h - 1. Let l(p) = n*y(p) - 35*a(p). Factor l(j).\nAnswer: -5*(j - 2)*(j - 1)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.4, -96, 0.06, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.45 - 2848685428.\nAnswer: -2848685466.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 42315651 (base 7) to base 8\nAnswer: 15530521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 197550 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -2*c**3\/3 - 67*c**2\/2 - 33*c. Let w be j(-16). Let m be -2 + w\/3*3. Put -8\/17, 2\/7, m in decreasing order.\nAnswer: 2\/7, -8\/17, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.231 * -0.8\nAnswer: 0.1848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5*(11 - -4). Let z = 5 + o. What is the greatest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1088)*2 + sqrt(153)\/(sqrt(72)\/sqrt(32)) - ((-5 + (1 + (sqrt(833) - (sqrt(833) + sqrt(833) + 0)) - sqrt(833)))**2 + 1).\nAnswer: -3349 - 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3*l + 0*l)*(-l - l + 4*l) + 10*l**2 - 17*l**2 + 18*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 25*d**2 + 482*d + 11323. Calculate o(-26).\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z. Solve z = -3*u + b - 3*b + 3, -4*u - b = -9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -10*s**3 - 26. Let j(i) = 2*i**2. Give a(j(p)).\nAnswer: -120*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (8 + -9 - -14).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 1 w when three letters picked without replacement from {y: 1, l: 1, i: 1, n: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 183389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (10080\/5880)\/((-4)\/(-70))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from {v: 4, d: 1, m: 2, w: 3, u: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/14 and -97\/644.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 60. Suppose -h = -3*k + 2*k. Suppose 0*n + 2*s - 40 = -3*n, k = 3*n - 3*s. Solve -2*p = 4*g + p + 2, g = 5*p - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -46) + 0 + -2 + (-2 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/1288*-14*140\/(-90)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 6*b - 5*p + 278 - 104 = -2*b, 65 = 5*b + 2*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, m: 9}. What is prob of picking 2 p?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2\/33, -67, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 8. Let w be u(7). Suppose 4*i - 2*c = 16, -c + 10 = 4*i - 0. Differentiate -t + 2 - w + 5 - i wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 2*g**2 + 2*g + 44. Is z(0) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvpvplpplpv. What is prob of picking 2 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/2)\/((-6357571)\/(-489041) - 13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4*a + 4*a - 2454*a**2 - 9*a.\nAnswer: -2454*a**2 - 9*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*x + 15848 - 14288 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, g: 11, j: 1}. Give prob of picking 2 o and 2 g.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -4\/3, 52, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113816 smaller than 113792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6835 minus -6?\nAnswer: 3.3165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + h - h - 2*h + 2*h + (2 - h - 2)*(-1 + 1 + 1))*(-25*h + 13*h - 14*h + (-2*h + 4*h + 0*h)*(0 + 1 - 3)) + 0*h**2 - 2*h**2 + 0*h**2.\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 13*a**4\/24 - 127*a**3\/6 - 2003*a**2. Determine y(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**2 - 100330*y - 249903 wrt y?\nAnswer: 2*y - 100330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, z: 5}. What is prob of sequence czz?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 7*b**2 + 4*b. Let w = -11 + 3. What is the units digit of l(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13656 + 13657. Which is the nearest to -1? (a) 0.5 (b) -4\/3 (c) f (d) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a year?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 + 14\/(-3). Let g(r) = -5*r**2 + 5*r - 1. Let h(z) = 12*z**2 - 10*z + 3. Let f(w) = 9*g(w) + 4*h(w). Is 31 a factor of f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 43. Suppose 0 = -2*r + l, 4*r = j - 0 - 3. Let w = j + 33. Calculate the highest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(840\/(-16)))\/(5\/(-125)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2927734 or -8?\nAnswer: 2927734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and (-1 - -3) + 2 - -8?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 107. Give j(-15).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5 + 0*c - 7*c + 16*c. Let x(s) = 13*s - 4. Let f(j) = j. Let t(u) = 5*f(u) - x(u). Determine 6*r(a) + 7*t(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 924936 and 7399488.\nAnswer: 7399488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 139, 212, 285?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let z(y) = 6251*y**2 - 11*y. Calculate c(z(d)).\nAnswer: 12502*d**2 - 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24946.7077 + 24945. What is h rounded to two decimal places?\nAnswer: -1.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*t**3\/7 - 1390*t**2\/7 - 60204*t\/7 + 15138\/7.\nAnswer: -2*(t + 87)**2*(4*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16762, -16984, -17590, -18772, -20722, -23632, -27694?\nAnswer: -33100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**4 + 0 + 4*o**2 - 8*o**4 + 0 - 1 + o as i*o + s*o**2 + a*o**4 + b + n*o**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 23*u**2 - 23*u + 38. What is the smallest common multiple of 5 - -1 - 0\/(-8) and g(22)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1 + 250*m + 14 - 7 in the form a + b*m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - 0) + -1 - (-6 + (13 - -6) + -3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (2 + -1) - (14 + -9)) + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462818543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 693\/11704*(-16)\/3?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -13*z + 40. Suppose 4*s - z - 2 = 0. Differentiate y**3 + 2 + y**3 + y**s - 6*y**3 wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-6)\/((-60)\/(-25))). Suppose 0 = -2*z - 4, 0 = -3*u - 0*u - z - 5. Which is the closest to 0.1? (a) w (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y. Let s(a) be the third derivative of -a**5\/10 - 4*a**2. Give s(z(o)).\nAnswer: -384*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((4\/(-6))\/(-2)). Solve t = -2*y + w*y - 2, 0 = 2*t + y + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551547?\nAnswer: 3, 61283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-168)*4)\/((-1)\/(-6)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 2. Suppose -2*g - 13 = -x - 0*x, 5 = 5*x. Let a be n(g). Put a, 5, 3 in descending order.\nAnswer: 5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2354*c + 15 + 587*c - 15 in the form k + n*c and give n.\nAnswer: -1767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 5258*w**4 + 5120*w**4 + 0*w**3 + (-5 + 3 + 3)*(w**2 - 2*w**4 - w**2) + 3*w**2 - 3*w**2 - w**4.\nAnswer: -141*w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 16 = -68. Let a(z) = -z + 101. Let c(u) = 35*u - 165. Let m be c(5). Let l be a(m). What is the highest common divisor of l and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/272 and ((-138)\/28)\/(26 + -20)?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + a = -25, -3*a - 13 = 3*g - 2*a. Let r be ((-6)\/(-5))\/(g\/(-15)). Suppose d + 252 = 3*h + 4*d, r*h - 4*d - 259 = 0. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 - 2. Let w(i) = 2*i**2 + 3. Let j(f) = -3*k(f) - 2*w(f). Is 9 a factor of j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 55 + 22*v + 47*v - 33 + 189.\nAnswer: 69*v + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 2. Let y be w(0). Suppose 2 + 4 = y*d. Suppose 0*x = -d*x + 15. Solve x*b + 15 = 0, t + 3*b + 17 - 3 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 2. Let p be 3 + 4\/8*j. Is p + (-2)\/((-2)\/145) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s**2 + 3*s**2 + s**2)*(4*s**2 - s**2 + 2*s**2) - 14*s**4 - 51*s**4 + 27*s**4 to the form t*s**2 + r*s**4 + b*s + c*s**3 + g and give r.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -828*v**3 + 60*v + 3.\nAnswer: -4968*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*b + 40, -6*b = p - 2*b - 16. Suppose -2*k + p*k - 9522 = 0. Let w = 2842 - k. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 156? (a) 21\/671 (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 - -2.61. Let q = w - -2.99. Let v = 8.2 + -0.2. Which is the second smallest value? (a) 0.3 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 r when three letters picked without replacement from iikszra?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -2*y**8\/21 - y**5\/30 + y**4\/12 - 31*y**3\/6 + 68*y**2. Find the second derivative of c(x) wrt x.\nAnswer: -640*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/3, -2\/7, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -3) + (-4 - (-6 + 4 + -27))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1, 0, 36, 2, 1.\nAnswer: -27, -1, 0, 1, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 11:23 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f**3 - 345*f**2 + 726*f + 1080 = 0. Calculate f.\nAnswer: -1, 10\/3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3 = 1. What is the units digit of (12\/18)\/(u\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.86 + -12.56. What is the second smallest value in 2, j, 2\/9, -49?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*c + 11 = -0*c, -5*c = 5*b - 20. Solve 3 + b = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x - 38 = -k + 5*k, -3244*x - k = -3242*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45804977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - 3. Suppose -3*j - j + 5*d = -24, g*j - 5*d = 12. Suppose 7*v - 42 = 112. What is the smallest common multiple of v and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75 - (-24 - (4 - -6))) + (-15 - 0).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 8. Let t(j) be the second derivative of j**2\/2 + 2*j + 1079. What is -2*b(h) + 6*t(h)?\nAnswer: -2*h - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 74545731 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 8*l**2 + 4*l. Calculate v(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(-18 - 21)\/13*-18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*n + 3372, 3354 = -0*n + 3*n - 2*c. Let u be n\/14*2\/6. Which is greater: u or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(44\/(-24)) - 2)\/((-3)\/(-2))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2694\/1796*472\/(-12).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 773*a**8\/336 - 13*a**4\/6 + 19*a**3\/6 + 3120*a**2. What is the second derivative of k(h) wrt h?\nAnswer: 15460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2\/8)\/(25\/(1100\/14))\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2 + (-621)\/138.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 16) to base 14\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 34 + 26 = -13*a. Suppose 2*w - l = 3, 3*l - 2*l + 5 = 4*w. Put a, -5, w, 0 in descending order.\nAnswer: w, 0, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 d when four letters picked without replacement from {d: 8, t: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1)\/(119\/476).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 819*o + 195. Let k(r) = -8*r - 1. Give 195*k(v) + x(v).\nAnswer: -741*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1060\/1484)\/((-1)\/14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15648650261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 13 = -2*o - 7, o = -4. What is the remainder when 37 is divided by 1 - y - 5\/(15\/(-18))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28*160\/336)\/((-25)\/30).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -21. Solve 0 = -2*g + 5*j + 16, c = g - 0*j + j + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.021524755 - 0.001\nAnswer: -0.022524755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -189, -346, -577, -888?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 9848 + 1276 = 0. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/64)\/(3\/6). Let s(x) be the first derivative of 9*x**4\/2 + x**2 - x + 4. Calculate s(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 8*g - 27. Determine m(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*w - 162*w - 2716 = -63*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17738863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + 0*f)*(9*f - 9*f - 5*f**2 + (4*f - 4*f + f)*(-4*f + 4*f - 2*f)).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 - 180. Find the common denominator of (-118)\/(-4)*(-24)\/i and 31\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264694 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 897 - 443 - 3*y**2 - 454.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 12*t**2 - 11*t + 5. Is 6 a factor of y(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77 or 2\/143?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 = -3*z, 15*z - 11*z + 20 = -3*o. Let r be (1 - (-7)\/(-4)) + 1. Factor o - r*x**2 + 0*x.\nAnswer: -x**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955742617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + s - 4348 - 3842, 4*m + 4*s - 6568 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7 + 240\/42 + -4*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26970, 53912, 80854, 107796, 134738?\nAnswer: 161680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 - 102. Suppose 23410240 = w*x - 96289760. What is x rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v**(1\/6))\/(v**(-3)\/(v*v**2*v)) assuming v is positive.\nAnswer: v**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 59 = 11. Let k = v - 6. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - 4*(2 + sqrt(275))) + -3 + -1*(sqrt(275)*-1 + 2)**2)*-4.\nAnswer: -20*sqrt(11) + 1160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -19199*j. Let i(d) = -6*d**2. Give n(i(z)).\nAnswer: 115194*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 45. Is 14 a factor of (16\/l + 5)*62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5277 in -4, -8\/29, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 41, 21, 3, -7, -3, 21?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-35)\/(-4))\/5*4. Suppose 4*n = 0, -5*l + 17 - 7 = n. Suppose l*x = d*x. Are x and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*c + 514 - 559, 3*c - b - 20 = 0. Let k = 28 - 8. Solve k - c = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(1*-1*(0 + sqrt(612)) + -4).\nAnswer: -24*sqrt(17) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/43, 8096, 0, -18, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) -3 (c) -17 (d) 3 (e) -1\/5 (f) 0.3 (g) -1554\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**3 - w + 12609 + 0*w - 6242 - 6368 + w.\nAnswer: 26*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -13. Suppose 18 = 3*o + t, -2*t + 6*t - 12 = 0. Let u = y + o. Solve -2*p - 2*v - 3 = 5, u*p + v + 7 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 6*n**2 + 6*n - 2. Let l be r(4). Let j be (-1 + 81)*(-8)\/l. Let s = -145 + 241. Calculate the greatest common divisor of j and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -7, 58, 193, 422, 769, 1258?\nAnswer: 1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 45 = -20*i - 85. Let h(p) = -p + 2*p - 2*p + 3. Give h(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 + l**2 + 1. Let v(h) = -5*h**3 - 5*h**2 + 9*h + 6. Let a(u) = v(u) - 3*w(u). Calculate a(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**3\/3 - 7*i**2 + 31*i - 45. Let x be y(-13). Calculate the greatest common divisor of 154 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6146 + 6184. What is the fourth biggest value in 2, g, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 1. Let g(d) = -1 - 9*d + 2 + 12*d. Let n(v) = 4*g(v) + 5*w(v). Determine n(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/39 in 3, 1\/26, -2, 0.3?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211730962697 + 0*z + z + 211730962696.\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 - 2 = -3*m, -3*m + 8 = 2*p. Let i be (m\/12)\/((-1)\/(-1082)). Suppose 4*g + d = 715, 0 = 2*g + 3*d + 176 - i. List the prime factors of g.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58804 + -0.3\nAnswer: -58804.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380.3711*-2.\nAnswer: 760.7422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1938\/148884)\/(-3 - (-17)\/6) and (-114)\/(-8) + 0 - 1.\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 777 - 642. Let p = r + -141. What is the closest to 0.1 in 0.2, p, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = d - 3*o, 200 = -3*d + 3*o - 88. Let f = -51 - d. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96.4 + 19.6. Let n = y - 115.999933. Round n to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77355 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3459*b**2 + 3 - 3459*b**2 + 7*b + 2*b**3 as u*b + o + n*b**2 + q*b**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1858*k**3 - 12*k**2 - 15*k + 30. Is n(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*h + 59, h - 55 = -3*i - 0*i. Suppose -16 = -5*l - 1. Suppose -i + 2 = -l*k. Calculate the greatest common divisor of k and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 3*l + 4. Suppose 3*i + 4*d + 6 = 0, 3*i + 2 + 7 = -5*d. Let q be x(i). Solve -y + 1 = -2*p, -y - 2*p + 7 = q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91195.\nAnswer: 5, 13, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**5 + 475*x**4 + 5*x**3 - 35*x - 7. Let j(z) = z**5 - z**3 - z**2 + 2*z - 1. Let k(n) = -g(n) - 5*j(n). Find the third derivative of k(s) wrt s.\nAnswer: -240*s**2 - 11400*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*z**4 + 26*z - 26*z + (3 - 3 + 2*z)*(5*z**3 + 0*z**3 - 4*z**3) as y*z**2 + d + f*z**3 + o*z**4 + h*z and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 288 + -15. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1517, -1515, -1509, -1499, -1485?\n\"Answer: 2*r**2 - 4*r - 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 30*d**2 - d + 29. Determine j(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2987 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3533332?\nAnswer: 2, 11, 131, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167619739.\nAnswer: 7, 29, 117959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnp when three letters picked without replacement from {n: 2, p: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27972270 - 1.02.\nAnswer: -27972271.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpwkckakk. Give prob of picking 1 c, 1 w, and 1 a.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 - 8*l + 8. Let s(v) = 80*v**2 - 25*v + 190. Let f(w) = 3*w**2 - w + 7. Let b(u) = 55*f(u) - 2*s(u). What is -8*b(m) + 5*r(m)?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -95, -175, -255, -335, -415, -495?\n\"Answer: -80*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 9. Let m be h(-6). Suppose -m*o - 4 = -o, -3*o = 2*i - 26. Calculate the remainder when 72 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/(-2) - 2\/4. Let z = 24 - n. Let d(h) = 9*h + 5. Is d(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -67*a + 137. Let b be u(2). Let f(q) = q + 8. Let g(n) = -n - 9. Let l(h) = 5*f(h) + 4*g(h). Let k(p) = 3*p - 5*p + 3 - 12. Give b*k(y) + 7*l(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - (-1 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2625 = -5*s + 5*x, 3*s + 4*x + 465 - 2012 = 0. Let i = s + -519. Which is the fourth smallest value? (a) -3 (b) -46 (c) i (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183 + 185. Suppose b*i + 15*l = 12*l + 16, -6 = i - 2*l. Solve a = -a - i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/2728605 and -45\/506.\nAnswer: 5457210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 2. Let j be i(2). Let w = 1 - j. Solve 0 = -2*v + v - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t - 1 + 1)*(3 - 4 + 0) + 3 + t - 3)*(12884 + 225 + 2199 + 11533 - 1033).\nAnswer: 77424*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*p = 9344, 0 = -0*i + 2*i - 5*p + 3724. Let g = i - -5009. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55350 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -294*q**2 - 411*q + 1?\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 17 = 2*j, -744 + 739 = 2*x + 5*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6311?\nAnswer: 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 1.3. Let v be (7\/(-21))\/(2\/(-36)). Let g = v - 4. Which is the closest to 1\/4? (a) g (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17519690676 plus -0.567?\nAnswer: 17519690675.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 6844?\nAnswer: -3\/6844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**6\/165 + 16*t**5\/55 - 179*t**4\/66 + 74*t**3\/11 + 7824*t. Find q, given that d(q) = 0.\nAnswer: -37, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2. Let n(a) = -2*a - 69570. Give n(j(s)).\nAnswer: 2*s**2 - 69570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6517\/2 + -358481\/110. Let f = -9\/11 - i. Is f >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**2\/5 + 392328267*n\/5 - 392328264\/5 = 0.\nAnswer: 1, 130776088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 220670238 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -154, -5\/3, 0.5, 3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 786\/(-655)*(-100)\/(-27) and (-5)\/(-278)*(-2 - -4)?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**2 + 27*j + 189. What is f(-6)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1275449 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 - 4548 = -5*k. List the prime factors of k.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**8\/504 - z**7\/315 + z**6\/90 + z**5\/45 - z**4\/36 - z**3\/9 - 5*z**2. Factor h(s).\nAnswer: -2*(s - 1)**2*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 5*c - c**3 + 19*c + 5*c - 5*c.\nAnswer: -c**3 + 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 - 0.35. Let w be (1 + (-3)\/(-15))\/(-1). Let p = 129\/4 + -32. Which is the nearest to p? (a) s (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 8*u**2 - 7*u + 4. What is the units digit of r(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27031724407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 37209.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(-3 + 1 + sqrt(567) + (sqrt(847)*1 - sqrt(847)))**2 + 1).\nAnswer: -540*sqrt(7) + 8568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.516 - -0.484. What is the closest to -4\/21 in 1, 0, q, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 213*r + 1984. What is the remainder when c(98) is divided by 86?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*k + 44. Suppose 0 = -4*s + 5 + k. What is the common denominator of s\/(-32)*(-82 + 4) and 58\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022 - -212?\nAnswer: 20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*(sqrt(288) + 3*sqrt(288))*-1 + -1*(sqrt(288) + (sqrt(288) - (sqrt(288) + -4)) + 3))**2 + -2.\nAnswer: -576*sqrt(2) + 2654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674385.\nAnswer: 3, 5, 44959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 8, v: 5, w: 4}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 7*l = -8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 1 (c) 1\/381\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(968)*3 - sqrt(968)).\nAnswer: sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96.279167139817 - 37505358.720827260183. Let j = 37505441 + i. Let q = j - -14. Round q to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3533 - -3553. Solve 0 = 12*l - 17*l - i, -8 = 3*d - l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1428\/510)*((-28)\/(-175))\/(-4)\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73915512 and 3359796?\nAnswer: 73915512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from kkkksjs.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*t = 31, 4*k + 11*t = 8*t + 32 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321 + 64*b + 324 - 330 - 315 - 73*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**3 - m**2 + 3*m + 2. Let f be (25 - (11 + 20)) + (-8)\/(-1). Let p(n) = 3*n**3 + 2*n + 2. What is f*g(w) - 3*p(w)?\nAnswer: -w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.03 (c) 9 (d) -13 (e) -9 (f) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:40 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 8}. Give prob of sequence bw.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4 - 78*n - 76*n - 7 + 159*n. Calculate j(10).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.062727 months to centuries.\nAnswer: 0.0100522725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + -12 + 2 - (-117 - -102) - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 + 235*q - 1635. Calculate r(39).\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -1409*d**4\/24 + 61*d**3\/3 - 76*d**2 - 7. Find the first derivative of f(l) wrt l.\nAnswer: -1409","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -90*a - 684 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*c + 95, 0 = -5*c - 0 + 25. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6561274987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: dc180 (base 15) to base 6\nAnswer: 22551550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, 2, -4, 4 in ascending order.\nAnswer: -4, 2, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 20 - 36 + 2*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -27. What is the hundreds digit of s*335\/(-10)*(1 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 + (-51 - -20 - (-2 - -15))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/17180 and -101\/276.\nAnswer: 1185420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 897 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -83? (a) 6 (b) 19 (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/381 < -2.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1187 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 3. Let r be o(3). Let u = 96 + -114. Let w = -16 - u. Solve r*i + 10 = w*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)*o)\/o)\/o*o*o\/(o**(4\/9)*o*o)*o*(o**(-1\/2)\/o)**34*o**(2\/3)*o*o\/(o**6\/o)*((o\/((o*(o*o\/o**(-1))\/o)\/o))\/o)**(-22\/9) assuming o is positive.\nAnswer: o**(-503\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 = -3*i, 7*o - 6*o + 2 = 0. Suppose -439 = -i*r + 5*d - 4*d, 277 = 3*r - 4*d. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000100000000111110100101 + 11?\nAnswer: 100000100000000111110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 20*y + 5. Let p(q) = -79*q - 19. Calculate 9*j(o) + 2*p(o).\nAnswer: 22*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1000011110?\nAnswer: -1000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -102?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 6 - (28 + -7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 61*t**2 + 6*t. Let g(y) = -4698*y**2 - 464*y. Let k(c) = -232*b(c) - 3*g(c). Let r(x) = -8*x**2. Calculate r(k(j)).\nAnswer: -26912*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1576.2 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1328*1.\nAnswer: -1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*o + 98 = -30*o - 19*o. What is the nearest to -0.1 in 1, -5, o, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -163\/6? (a) 0.1 (b) 0 (c) 2 (d) -386 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + (-7 - -7) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + m)*(-8 - 5 - 9) + (-2 - 2 + 1)*(-3*m + m + 4*m).\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6 + ((-108)\/8)\/9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -30?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/1)\/((-2)\/2). Suppose k = 4*r, i = -r - 5*k - 0*k. Solve r = -2*v + 3*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*((-2 + sqrt(176))**2 + (sqrt(99))**2 + 0).\nAnswer: -558 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15006, -29860, -44566, -59124, -73534?\n\"Answer: 74*h**2 - 15076*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 1)*(f - 3*f + 0*f) - 3*f + f + 3*f)*(-1 + 1 - f**3).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234510 by 46902.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 301, 11, -2\/13, -609?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.06 - 0.06. Let v = -6136860.9999988 - -6136865. Let b = v - g. Round b to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10087385 and 386120?\nAnswer: 80699080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*p**2 + 24*p**2 - 4*p**4 - 50*p**2 + 12*p**3.\nAnswer: -4*p**2*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = c - 24, -5*c = -20 + 15. Suppose r + w*r - 48 = 0. Solve 2\/15*z**5 + 32\/15*z + 16\/15*z**r - 32\/15 - 16\/15*z**3 - 2\/15*z**4 = 0 for z.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) -5 (c) 2\/11 (d) 22 (e) 440\/17 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13509, -21730, -29941, -38136, -46309?\nAnswer: -54454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14*z + 1. Suppose 4*s - 20 = 0, -2*j + 7*j - 5*s = -20. Let p be t(j). What is the greatest common factor of 75 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3671 - -4570. Suppose 24*f + 17*f = y. Calculate the remainder when f is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68915204 to the power of 1\/2, to the nearest integer?\nAnswer: 8302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 4)*(-4*l - 3*l + 5*l) - 3*l - l + 3*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 33. What is the smallest common multiple of 20 and v?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5 + 186*d - 44*d + 58*d - 3. Let h(a) = -4*a. Calculate h(j(u)).\nAnswer: -800*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 + 2 + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56173 or 56175?\nAnswer: 56173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 6*t + 15. Let q be x(-8). Let f be (-3 - -1)*(-5 - q). Find the common denominator of -21\/10 and (-6)\/(-5)*(7 + f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 0.12. Let z = v + -0.61. Let x = -0.2 - z. Round x to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-113 - -149) + -13 + 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 - 0.1. Let p = -62457 + 312287\/5. What is the nearest to -0.2 in n, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 0.27, 0, 2, -5 in ascending order.\nAnswer: -5, -0.11, 0, 0.27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4160 = 55*b - 87*b. Is b at most 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*c - 103*c = 8, 22 = 2*x - 2*c. Solve r - 4*r + k = -11, 4*k + 17 = x*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -103430304?\nAnswer: 103430314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0356 at least as big as -1753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103 in -2\/9, 2\/5, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5 + 5 = -f, 4*p = -2*f - 2. Suppose -m - 2201 = -3*q - 447, 0 = 2*q + f*m - 1158. What are the prime factors of q?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-200)*(-30)\/(-4). Let a = 438\/5 - 88. Let q = a + t. Sort q, 1, 1\/4 in descending order.\nAnswer: 1, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5133639 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l + 3. Calculate the remainder when l is divided by 18\/6 + 4\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Suppose 5*c = -10, t = -c - 5 + m. Solve t = 6*j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 + 85 - (1 + -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4795, -4808, -4837, -4888, -4967, -5080, -5233?\n\"Answer: -z**3 - 2*z**2 - 4792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95 + 12 + -25 + (-10 - -6) + -9 + -1.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 155? (a) 1 (b) 23828 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3)*(-738)\/1107)\/(5516\/(-126))?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0*n**2 + 0 + 1\/12*n**4 + 0*n**3 - 16*n. Let t(y) = -2*y**2. What is t(v(b))?\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 10, 4678 in ascending order.\nAnswer: 10, 87, 4678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/5, 2\/3, 8179, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 533941 and 11539?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 102*c**2 + 293*c - 39. Let z be k(-3). Let x = 2.1 - 2. Put x, z, 3, 5 in descending order.\nAnswer: 5, 3, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 4. Let y be s(0). Suppose -4*d + 879 + 717 = y*f, 5*d = 5*f - 2035. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236\/177 - 201237\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -13*s - 13. Let x(g) = -9*g - 9. Determine 5*o(a) - 7*x(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z + 22*z**2 - z**3 - 14 + 5 - 14*z**2. Let p be i(7). What is o in 0 - 1\/3*o - 15*o**p + 22\/3*o**3 - 8*o**4 + 0*o**2 = 0?\nAnswer: -1, -1\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**4\/3 - s**3\/6 - 13*s - 21. Let g be 4\/2 + 0 - 0. Let j be h(g). What is the highest common divisor of 112 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1433412005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*l**2 - l**2 + 1 + 5 as j*l + p + z*l**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6088628, 6088642, 6088670, 6088718, 6088792?\n\"Answer: q**3 + q**2 + 4*q + 6088622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -410?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 k, and 1 p when three letters picked without replacement from {n: 1, s: 1, k: 1, p: 1, a: 1, e: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75541.\nAnswer: 75541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436 + 472 = -12*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3121338 micrograms?\nAnswer: 0.0003121338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 395386538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(20\/14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 62.9999971. What is r rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -443, -2.\nAnswer: -443, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537503413?\nAnswer: 67, 1373, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from earrrrerfrehh. What is prob of picking 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wim when three letters picked without replacement from mmmmmmmmwmmmmi.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u = 460. Suppose -299 - 121 = -28*d. What is the remainder when u is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 4 + (-2 + 5 + 1)*(-5 + 0 - 1))*(w + 1 - 1) to n + s*w and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2439 and -43\/12466.\nAnswer: 112194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 - 8591*j - 583899\/4.\nAnswer: -(j + 17)*(j + 34347)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 552 - -5?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -793.45154*0.5\nAnswer: -396.72577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18489 = 3130*p - 8298 - 28108 + 11075 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1 (c) -20\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (2 + sqrt(200)))*4 + sqrt(50) + sqrt(50)*1*5 + sqrt(3200)*-1)**2.\nAnswer: 160*sqrt(2) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/5 - 16*p - 84\/5.\nAnswer: 4*(p - 21)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3313073 - 13118073. What is r rounded to the nearest 100000?\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 3*n - 7*g - 242490, -2*n + 4*g + 161644 = 0. What is the ten thousands digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222210101 + 1?\nAnswer: 1222210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -61 and -61 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + l - 3*l)*(-l**3 + l**3 + l**3).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 35953*f. Let a(y) = -6*y**2 + 5. Calculate a(k(r)).\nAnswer: -7755709254*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**4\/9 - 1274*r**3\/9 + 3124*r**2\/9 + 1264*r = 0.\nAnswer: -2, 0, 9\/2, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4881 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -35*f**2 + 1. Let x be n(3). Let g = x + 1877\/6. Let k = g - -5\/6. Which is the second biggest value? (a) k (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, 2, -3\/1492939?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -65. Calculate the greatest common factor of p and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 8. Suppose 0 = -7*w + 2*w + 230. Let d be (-2)\/6 - w\/6. Let k(h) = -1. Calculate d*k(c) - z(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 147. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 160 (b) 1\/4 (c) -21\/2 (d) -267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b1 - -1?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59944 and 531?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 24610.\nAnswer: 24610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4 + 28189*c**3 + 5991981*c**2 + 11899391*c + 5935600 = 0.\nAnswer: -209, -1, 28400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 + 26*i - 2944. List the prime factors of w(77).\nAnswer: 3, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/(-20))*(34050\/(-375) - -93)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -62, 0.017, 2, 1\/2?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 12*w**2 - 20*w + 5. Let h be z(10). Let p(v) = -2*v**2 + 3*v - 2. Let q be p(1). Put -6, 3, q, h in descending order.\nAnswer: h, 3, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 1. Let l(w) be the first derivative of 3*w**2\/2 + 1. Let p = -1 - -3. Suppose 0 = -4*u + 5*h - 2 - 2, -2*u - p = 3*h. Determine u*r(n) + l(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160854 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/4)\/(-9*(-3 - 93\/(-36))). Solve 0*u**2 + 0 + 12\/5*u**3 + p*u**5 - 18\/5*u**4 + 0*u = 0 for u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5 - -7) + -1)*2. Solve j + 3 = c, j - t*j + 5*c + 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/26 + -29\/78. Let l be 0*((-2)\/6)\/(-1). Let v be ((-16)\/64)\/((-2)\/(-4)). Which is the closest to v? (a) -0.3 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/2523096 and 123\/116810?\nAnswer: 12615480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 664 and 498?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(1216) + 1)*1.\nAnswer: -8*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**2 - 16*u - 21. Let o(n) = 3*n**2 + 8*n + 11. Let w(v) = -11*o(v) - 6*y(v). Let j(b) = -b**2 + 3*b + 2. What is 11*j(a) - 4*w(a)?\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**(-18)\/(a\/(a\/(a*a*(a\/((a\/a**(2\/3))\/a*a)*a)\/a*a)))**36 assuming a is positive.\nAnswer: a**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 12*t = 4. Let y(u) = -7*u - 3. Calculate the remainder when t*159\/(-9)*(-3)\/2 is divided by y(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41724 (base 12) to base 14.\nAnswer: -23340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 45*d**4 + 388*d**3 + 142*d**2 - 790*d + 320. Let p(m) = -m**3 + m**2 - 15*m. Let b(s) = -2*p(s) + z(s). Factor b(r).\nAnswer: 5*(r + 2)*(r + 8)*(3*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2. Suppose 2*b - 1 = 11. Let t be 9\/b*20\/2. Let s(c) = -4*c**2 + t*c - 15*c. Calculate s(j(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**2 - 2*u**2 + 2*u**2 + (4*u - 5*u + 0*u)*(16*u - 19 + 19).\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3592 and 1268584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 37, -29, 5, -4, 2, 138.\nAnswer: -29, -4, -3, 2, 5, 37, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let l(f) = -369745676*f**2. Calculate w(l(x)).\nAnswer: -369745676*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23718.54ns to minutes.\nAnswer: 0.000000395309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**4 - 16*c**3 + 20*c**2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -251 + 357. Let m = s + -30. Let f = -26 + m. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/95 + (-11)\/(-5). Let g be (-1 + 0 + -6)\/((-1)\/2). What is the greatest common divisor of g and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7093 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 21. Let t be v(9). Let h be (-9)\/t*1*-12. Calculate the remainder when ((-15)\/h - -2)*69 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 155 = 2*o, 2*o + 3*c - 146 = 15. What are the prime factors of o?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -1 - (-3 - -3). Let x be 5 - k*(-3)\/6. Let z be 4*(x + -2) - 2. Solve -2*s - t - 2 - 5 = 0, z*s = 4*t + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 278, -2\/11 in decreasing order.\nAnswer: 278, -2\/15, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 5:08 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1629 * 16943.\nAnswer: -2760.0147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1233538119*r**4 - 32131702*r**2 + 1 wrt r?\nAnswer: 29604914856*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 - 0. Let f be (-4)\/(-14) - o\/56. Solve -f - 5 = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/7746)\/(-11 + (-350)\/(-30)). Let o = 4922\/156211 + q. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48290 in 0.2, -3, 2\/15, 0, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4617 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 9) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/10372 + 316379\/342276. Calculate the common denominator of q and 37\/168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -21*d**2 + 11*d + 23. Let m(j) = 61*j**2 - 32*j - 70. Let q(a) = 6*m(a) + 17*w(a). What is the units digit of q(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 11. Let m(p) = 46*p**2. What is m(s(t))?\nAnswer: 46*t**2 - 1012*t + 5566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**0)))\/k**(-9)*(k\/(k\/(k*k\/(k\/(k\/(k*k**(-15))))*k)))\/(((k**(-13)\/k)\/k)\/k))**18 assuming k is positive.\nAnswer: k**774","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 2. Let f be (1\/1)\/((15 - 9) + -7). What is the closest to f in h, -4, 5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 13, 37, 73?\n\"Answer: 6*t**2 - 6*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10680\/45 + (-2)\/6 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 916 and 1052.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38353, -76804, -115285, -153808, -192385?\nAnswer: -231028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, 150, 340, 616, 984, 1450, 2020, 2700?\n\"Answer: q**3 + 34*q**2 + q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (8 - -4 - 3)) + 7 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31047232 - 31047231.64000134. Let n = k + -0.36. Round n to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59169 + -31857. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-29))\/(10\/20). Let i = d - -53\/174. Let m = i - 2\/3. Which is the second smallest value? (a) -3 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 1. Let h = -49 - -47. Give j(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 + 145. Factor -4\/7 + 32\/7*f**z - 10\/7*f - 18\/7*f**3.\nAnswer: -2*(f - 1)**2*(9*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -709*n**3 - n**4 - 13*n - 3*n - 3*n**2 + 16*n + 652*n**3 to k + o*n**4 + b*n**3 + i*n + w*n**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -832, -831, -830, -829, -828?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 2*z - 3. Let q(k) = k**2 + 13*k + 29. Let h be q(-12). Let d = -13 + h. Calculate i(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71894028?\nAnswer: 2, 3, 5991169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -7\/9*h**4 + 17 + 0*h**2 + 0*h - 8\/27*h**3. Factor x(a).\nAnswer: -4*a**2*(7*a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42217 and 16952?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(735) + (5*-1*sqrt(735) - sqrt(735)))\/(sqrt(15)\/(sqrt(18)\/(sqrt(6)*2))).\nAnswer: 105*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4352253 (base 6) in base 13?\nAnswer: -779ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -8713?\nAnswer: 8714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 + 0*g**2 + 0*g**2 + 8 + g**3 - g**2 to l*g**3 + r + i*g + k*g**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 44 = -4. Let i be (-20)\/y*(2 - 77). Let f = i - 67. What is the remainder when f is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-9)*(-1)\/36.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-7 + -7) - 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a63 + -9?\nAnswer: a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**3\/6 - 7*h**2\/2 + 12*h. Differentiate i(z) with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15681, -12, 2\/3, -1.\nAnswer: -12, -1, 2\/3, 15681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2912*m - 14. Let f(g) = -1456*g + 5. Let y(t) = 5*f(t) + 3*i(t). Is y(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146255507?\nAnswer: 146255507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 646730000 rounded to the nearest one million?\nAnswer: 647000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 0.27261.\nAnswer: 0.77261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(325))*3 + (-5 + (sqrt(325) - (sqrt(325) + -2)) - sqrt(325) - sqrt(325)))*4)**2.\nAnswer: 960*sqrt(13) + 5776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3026, -3144, -3306, -3500, -3714, -3936?\n\"Answer: 2*f**3 - 34*f**2 - 30*f - 2964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2\/544848965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -16) + -22 + -34 + 0 + -3 + -1\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -4. Let j(u) = -u + 3 - 4 + 5 + 0*u. Calculate j(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 7, 658 in increasing order.\nAnswer: 7, 38, 658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183 and 3904.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4548091640 to the nearest integer?\nAnswer: 67440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 + 146. What is the second derivative of -10 + 26*t - 35*t**m - 2 + 18 - 4 wrt t?\nAnswer: -210*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48192366 and 10.\nAnswer: 240961830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -34.793\nAnswer: 2.43551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 equal to -3887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 464, 697, 930, 1163?\nAnswer: 1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) 1 (c) 0 (d) -4 (e) -0.18 (f) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60060 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 317*a**2 + 2*a - 3. Let p be j(-2). What is the greatest common divisor of 194 and p?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 1801, 6382, 15301, 30004, 51937, 82546?\nAnswer: 123277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from sfsg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -410, -264, -2, 382, 894, 1540, 2326?\n\"Answer: j**3 + 52*j**2 - 17*j - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 8*a - 9*a + 2*a**3 as u*a**2 + i*a + q + p*a**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -47*d**6\/120 - d**5\/20 - d**4\/12 - 228*d**2. Find the third derivative of t(s) wrt s.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, r: 9}. What is prob of picking 3 r?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1229*x**2 - 2*x - 7634. Let s(c) = 618*c**2 + c + 3816. Let r(l) = 6*i(l) + 13*s(l). What is the derivative of r(u) wrt u?\nAnswer: 1320*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2\/(-7))*(-120099)\/817.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) 1\/4 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -44*f + 5. Let a(p) = 198*p - 22. Let l be -60 + 73 + (-36)\/(-4). Determine l*c(x) + 5*a(x).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14368 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13 = 3*v, 0 = 2*f + 3*v - v + 58. Let n = -25 - f. What is t in 1\/2*t**4 - 1\/4*t + n - 1\/2*t**2 + 1\/4*t**5 + 0*t**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(8\/9)*z**(-5)*z)\/(z*z\/(z*z**(-7\/6))*z*z\/z**(2\/9)))**37)**(-8\/3) assuming z is positive.\nAnswer: z**(16132\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2cb (base 14) to base 4\nAnswer: -20323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2054862.\nAnswer: 2, 3, 38053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (-13 - (-17 + 7) - -27)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70825, 141848, 212871, 283894?\nAnswer: 354917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -2*z**3\/3 - 4. Let h be 3 - ((-4)\/(-2) - 3). Let g(t) = -t + 6*t - h*t. Give g(s(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 5*t = -12. Let q(u) = -23*u - 102*u**t + 0*u - 44 + 101*u**2. Let x be q(-20). Calculate the highest common factor of x and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**4 - 74*o - 8*o**4 + 1 - 9*o**3 + 77*o to the form q*o**4 + j*o**2 + r*o + z + i*o**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8289 and 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(22)*1)\/sqrt(11) + sqrt(8)\/(sqrt(48)\/sqrt(3)).\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 13*h + 1. Let s be u(0). List the prime factors of (-4704)\/(-7) - (-1)\/s.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 1441*r + 9. Let c(a) = -3*a + 6. Give z(c(b)).\nAnswer: -18*b**2 + 4395*b - 8709","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 127 (c) 0 (d) 0.07803\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16349916 divided by 371589\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309563 is divided by 860?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7840575*0.3\nAnswer: 2352172.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + 60. Suppose 5*o - q = 5*g, 5*g + o = -0*o - 58. What are the prime factors of (-164)\/(-10) - g\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 115207a?\nAnswer: 1152082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 10*o**2 - 2*o + 6. Let y(t) = 1. Let z(q) = v(q) - 6*y(q). What are the prime factors of z(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3157 (base 9) to base 11.\nAnswer: 181a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009060 is divided by 148?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 27 = -58. Let b(t) = -t + 5. Let q be b(5). Suppose w*v - 5*y + 724980 = q, -y = v + 3*v + 580004. What is v rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16 + 0 = 0. Suppose 0 = 4*d + 3*k - 42, -3*d + 19 = -2*k - a. What is the greatest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 18 = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + x = 6, 4*x - 23 = -5*z + 6. Suppose -z*o + 20 = j, -3*o = -j - 2*o - 4. Suppose 2*l - 4 = -12. Which is the nearest to j? (a) 5 (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028066281 to seven dps.\nAnswer: 0.0002807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7880 and 4728.\nAnswer: 23640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r - 11*r + 386406. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -401*z**3\/6 + 2*z**2 + 3*z. Let l be c(-5). Is 2\/(-9) - l\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5376 = -20*x - 4*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjps when four letters picked without replacement from pjmsjpc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152 - -93. Let p = w + 59.1. Let a(n) = n + 2. Let h be a(-3). Which is bigger: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406918180.\nAnswer: 2, 5, 20345909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 7:21 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -386 and -130085873.743.\nAnswer: -130086259.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2)*(9 - 40 - 17)*(46*g**2 - 46*g**2 + 52*g**3).\nAnswer: 9984*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 923451382 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26208)\/(-28080)*(-10)\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2. Let j(y) = -2*y. Suppose 0 = 3*w + 2*q - 18, -3*q + 0*q = -w - 5. Let u(x) = -2*x. Let g(c) = w*j(c) - 3*u(c). Determine d(g(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00082161 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from vob?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 1, j: 1, u: 2, g: 2, p: 1}. Give prob of picking 1 p and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4553 is divided by 289?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140132?\nAnswer: 2, 53, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 842 times -548\nAnswer: -461416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2535094593 - -2535094603.99999999. Let v = x + -11. Round v to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i**3 - i. Let r(a) = -10*a**3 - a**2 - a. Calculate 4*d(y) - 5*r(y).\nAnswer: 10*y**3 + 5*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*h - 40 = -2*z, 4 = h. Suppose 0*u - 2*u + z = 0. Solve u*p = -0*p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -1\/5, 8\/11 in decreasing order.\nAnswer: 8\/11, -1\/8, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1833*h - 89813. Give s(49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 87074124196 + 59.58?\nAnswer: 87074124255.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2821\/8 - (-3)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -33*b + 4. Let z(x) = -x + 1. Give f(r) - 4*z(r).\nAnswer: -29*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxszxxswwxwwsswxsw. Give prob of sequence zwx.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1260946083?\nAnswer: 3, 17, 2693, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96031194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 326443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83989291, 83989290, 83989289, 83989288?\nAnswer: 83989287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -625 + -8681. Round u to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*a - 344 = -2*h, -4*h + 649 = -5*a. Let k = h - 77. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -151683, -299354, -447025?\n\"Answer: -147671*l - 4012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v**3 + 2*v**2 + 2. Let n(x) = 4 + 79 - 2*x**2 + x**2 + 5*x**3 + 82 - 166. Let u(t) = 2*t**2 - t - 1. Let g be u(-2). Give g*n(s) + 4*a(s).\nAnswer: s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) + 6\/(-21). Let h = -4 + 9. Solve h*p + 14 + 1 = r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i**3 + i**2 + 33614*i + 451416 wrt i.\nAnswer: -15*i**2 + 2*i + 33614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45837 + -15748. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + 5198\/(-24). Let i = 7247\/33 + w. Calculate the common denominator of i and (4 - (-146)\/24)\/((-10)\/6).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3475, 6958, 10437, 13912?\nAnswer: 17383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let y(w) = 825*w**2. Let n(p) = -11*p**2. Let u(a) = -5*a**2. Let m(s) = 3*n(s) - 7*u(s). Let k(v) = -275*m(v) + y(v). Determine q(k(g)).\nAnswer: 275*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1628644?\nAnswer: 2, 47, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let p(a) = a**2 - 8*a - 1. Let b be p(8). Let g be l(b). Suppose -j - g = 2*v + 1, 8 = 5*v - 4*j. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*n = 1302070 + 1209790. Round n to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*f)*(-f**4 + 3*f**4 - 4*f**4) + 3*f**2 + 554*f**5 + 294*f**5 - 7*f**2 + 4*f**2.\nAnswer: 844*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/859 - -37705\/109952. Calculate the common denominator of -9\/128 and z.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*a = 2*j - 22, -5*j - 30 = -5*a. Let x = -2 + j. Let n be (-32)\/x - 8\/12. Solve -4*t = t - k, 2*k = -n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -13.1.\nAnswer: 222.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.6888 decades in months?\nAnswer: 89602.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 452410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 15. What is the units digit of 1\/(-3) + (-385)\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-10))\/((-76)\/(-2755)*58)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, l: 2, q: 2}. Give prob of sequence lpp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331, -325, -317, -307, -295, -281, -265?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 - 5*b - 2. Let z be t(-3). Let d(m) be the second derivative of -m**3\/6 - 5*m**2\/2 + 8*m. Determine d(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-7)\/(-308)*11).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2 + 14 = 0. Let b be (-136)\/22 - s\/11. Let y be (9\/54 - 23\/b) + -2. Solve -y*i - 5*m + 9 = -3*i, 4*i = 3*m - 19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1322 - 10bf?\nAnswer: -23e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3558 and 2.\nAnswer: 3558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 42 = -4*p. Let w(j) = 10*j - 1. Let b be w(-1). Let v be (-4)\/p - b\/(-14). What is the smallest value in 1\/2, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2 + 286*i - 2352 = 0. Calculate i.\nAnswer: -294, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 8:46 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 67.\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*w = -20, 7 = -4*w - 5. Let u = -5 + 11. Suppose -n*p + 36 = -u. Let h(a) = -a**2 + 4*a + 6. Determine h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9522862, -9522864, -9522866, -9522868, -9522870?\nAnswer: -9522872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 11:31 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, u: 3, d: 6}. Give prob of sequence un.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1355328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -35, -45, -55, -65?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.158293341 to 5 dps.\nAnswer: -0.15829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237265.\nAnswer: 5, 7, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 1. Let z be 4*(74\/8 - r). Suppose 4*d + d + p - z = 0, -4*d = 4*p - 36. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.002 - 3.002. Let l = -2 + 2. Let d = -0.4 - l. Which is the nearest to 0? (a) d (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 3*r + 3. Let b = 19 - 22. What is the units digit of j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*j + 1245008, 4*u + 3*j = 137051 + 858943. What is u rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.609875 micrograms in kilograms?\nAnswer: 0.000000009609875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4053 - -4106. Solve -w*l + 57*l + 2*i - 18 = 0, -5*l = -5*i - 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2980766 divided by -137\nAnswer: -2980766\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/305 + -616\/915. Let d(b) = b**3 + 6*b**2 + 5*b. Let v be d(-5). Suppose 2*o = -v*o + 4. What is the second biggest value in j, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - 73. Let g(h) = -h**3 + 5*h - 2. Give g(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 171*j**3 - j**2 + j. Let f be p(1). Let u = -1\/55 + 2368\/165. Calculate the common denominator of 12\/30 - f\/(-30) and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - 3.99. Let q = v - -3. Which is the nearest to -1? (a) 4\/5 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 8*f - 4. Let v be i(8). Let m be v\/(-16) + (-1)\/4. Let q be (-1)\/((-6)\/m) - 0. What is the third smallest value in 0.4, 1\/5, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 271703 + -179976. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-582)\/150 - -4)\/((-9)\/(-10))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**4 + l**3 + 2*l - 1. Let y(u) = -364*u**4 - 5*u**3 - 10*u - 481. Let z(o) = -10*d(o) - 2*y(o). Differentiate z(k) wrt k.\nAnswer: 2992*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2143163 is divided by 2376?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(195\/50)*(-6)\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*d = -19, 0 = r + 97*d - 95*d + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3082975 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = 3*m - 57, 3*m - 4*k = 75. Suppose -5*z = -4*j - m, -4 - 5 = j - 2*z. Let t(h) = 10*h**3 - 1. Calculate t(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*6\/(-24) - 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2598007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8 - 1.9. Which is the nearest to m? (a) 5 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n - 7 = l, -l + 29 = -3*n. Is (-3)\/(n\/(-382))*(-6)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 + (35 - 88) - -137\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00078242 rounded to 5 decimal places?\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4606 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -264 + 280 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 1. Let q be o(-1). Suppose g + 16 = 2*j, 3*j - g + 18 = 44. Let s = j - 5. Solve -h + q*h = s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 0.0525?\nAnswer: 0.0525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g + 10*g + 2940. What are the prime factors of ((-66)\/(-5))\/((-4)\/g)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40542568 rounded to the nearest 100000?\nAnswer: 40500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**5*w + 54432*r**3*w**3 - 2*r*w**3 - 1096*r*w + 4*r - 13*w**3 wrt r.\nAnswer: 120*r**3*w + 326592*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4174*h + 4413*h - 4570 - 2600 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.8 - -6. Let u = -0.1 - v. What is the third smallest value in 0.4, u, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1675\/306 - -4\/153. Suppose -4*f - 2*b - b + 43 = 0, -3*f + 41 = 4*b. Is f greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1698717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12533*j**3 + j**2 - 234080 wrt j?\nAnswer: 37599*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by (9 - (8 - (-48)\/(-12))) + 141.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 11 + -15 + 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m. Let l(v) = -885855*v. Let a(d) = -821*d. Let r(n) = 3236*a(n) - 3*l(n). Determine r(u(t)).\nAnswer: 2427*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 638 = 1918. What is the hundreds digit of (-3)\/(3\/y) + (-17)\/(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -72\/13, 5\/4, 5, 1\/41 in descending order.\nAnswer: 5, 5\/4, 1\/41, -1\/3, -72\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-45)*33)\/(4\/(-6)). Suppose -1292 = -r*n - 6*n. What is the remainder when n is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683 = -u - 2*k - 586, -4*k - 3815 = 3*u. Which is greater: u or -1278?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178434363 and 34867?\nAnswer: 4981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 48788?\nAnswer: 3\/48788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28.071 + -0.071. Let s = c - 41. Let o = 16 + s. Sort 0.3, -0.2, o.\nAnswer: -0.2, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 4\/7 (c) 0 (d) 9850\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -938 - 894. What is the common denominator of -76\/3 and k\/170 - 8\/(-20)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424251 (base 9) in base 12?\nAnswer: 10210a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 375338 at most as big as 375323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/223804313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, y: 1, o: 2, h: 4}. What is prob of picking 2 c and 2 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5470 and 830?\nAnswer: 454010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1341954114903893*r - 1341954114903893*r + 11*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13439602 and -8.\nAnswer: -1.07516816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144319 is divided by 2176.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*j + 1, s - 6 = -3*s - 2*j. Let a be (s + -2 + -1)\/1. What are the prime factors of (-183)\/(-15) - a\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*(1*sqrt(260) + sqrt(260) - sqrt(260) - sqrt(260)) + sqrt(260))\/(sqrt(110)\/(1*sqrt(11))))\/(3*(sqrt(450)\/sqrt(5))\/sqrt(5)).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 11:23 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -128187, -128178, -128157, -128118, -128055, -127962?\n\"Answer: i**3 + 2*i - 128190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/30 + 2*b**5\/15 + 6*b**2. Find the third derivative of r(w) wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 4*h**2 + 6*h**2)*(-4*h**2 + h**2 + 2 + 0*h**2).\nAnswer: 3*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 + 9)*(-3 + 1 - 1)*(5*t**4 - t**4 - 3*t**4) to n*t**3 + a*t**2 + f*t**4 + p + y*t and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32817, -65601, -98373, -131127, -163857, -196557, -229221?\nAnswer: -261843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12*c**2. Let k(b) = -5*b + 6. Let s(u) = -16*u + 20. Let m(d) = 10*k(d) - 3*s(d). Determine i(m(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 13*o + 15. Solve -3 = -2*w + o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, 0, -2, -16, 40?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (39822\/(-4) - 1)*(-39 - (45 + -82))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o**2 + 11*o. Let u(d) be the second derivative of -d**3\/6 + 7940*d. Calculate x(u(y)).\nAnswer: 17*y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19136 + 19002. Which is smaller: -75 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2389048569?\nAnswer: 3, 2557, 103813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -v - 14, 2*j - 70*v + 6 = -69*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1138 = 3*f, -8*u - 290 = -9*u - 2*f. What is the highest common divisor of u and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, k: 7, p: 6, q: 1, g: 2}. Give prob of sequence rkkp.\nAnswer: 21\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (8 - 7)) + (11 - 9) + 12\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(10\/(-6) + 1). Let x = 2\/17 + 9\/68. Which is the nearest to -1? (a) -2\/5 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -31375038.\nAnswer: -2\/15687519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2054*m = -2125*m - 781 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - q**2 - 16*q**2 - 10*q**2.\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600797 divided by -1.\nAnswer: -600797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3, 5\/224 in descending order.\nAnswer: 13, 5\/224, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**5 + 3*p**4 + 31*p**3\/3 + 3*p**2 - 8*p + 332. Factor y(x).\nAnswer: -(x - 4)*(x + 1)**2*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*q + 5*r, -22337 = 3*q + r - 22344 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -396500 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026746449 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from allaaallalal. Give prob of picking 2 l.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 371 - 371. Suppose 4*o + 2*d = 6*d - 36, -o + 3*d - 7 = p. Which is the nearest to o? (a) 1\/3 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 6224*d = 6219*d - 2, 4*n + 29 = d for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 3 + 2*l - 8*l + 3*l. List the prime factors of f(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/179, -53\/23, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3 - 5 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 188.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807*w + 802*w = -2*o - 884, 2*w + 4*o = 344. Suppose u = 3*u - 88. What is the greatest common factor of w and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*o + 5*o + 55 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.096, 1\/8, -9, -96 in increasing order.\nAnswer: -96, -9, 0.096, 1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31680317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58236748756 - 58236748756 - 43*k.\nAnswer: -43*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c**3 + c - 1. Suppose 5*r + s - 23 + 16 = 0, 0 = 4*r + s - 6. Determine u(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t - 2*t - 8*t - t to r + p*t and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 4 + -26 + -29 + 3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.9 - 5.9. Is a <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*m - 82*m = -9. Is m < -16\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 3. Let t be m(-7). Suppose -t*i + 14*i = 72. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 100*1*(1 + 1). Suppose -j = -3*j + v. Let p(z) = 7*z**3 - 946*z**2 + 133*z + 291. Calculate the remainder when j is divided by p(135).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65520\/54080)\/((-15)\/20).\nAnswer: -21\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 49*a**2 + 25*a + 1482. What is q(-49)?\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Let f(q) = q**2 - 5*q + 3. Let o be f(m). Suppose o*j + 5*c = 50, -58 = -5*j + c - 3*c. What is the remainder when 29 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 321104424?\nAnswer: 321104434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-12)\/(-13) - 7198\/9516?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-5))\/(2\/(-4)). Suppose -g = w - 5*g + 13, -g + 7 = -k*w. Put 6, w, 3 in descending order.\nAnswer: 6, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 26. What is the second biggest value in -1\/3, r, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3745 - -3746. Which is smaller: s or 0.084?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 - 10\/42. Let x(o) = -5*o**2 + 6*o - 9. Let g be x(3). Let l be (-8)\/g + (-4)\/18. Sort -1\/4, l, r in ascending order.\nAnswer: r, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6589 - -4589. Round z to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1323 (base 5) to base 14.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1700552 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59625891 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 889, 1772, 2651, 3526, 4397?\n\"Answer: -2*w**2 + 889*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -0.1, 8, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 44\/15, 4, -1, 91, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 - 68*(-4)\/24. Let b = 0.3 + -0.5. What is the closest to -0.05 in b, -5, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55227 is divided by 285.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20*2\/(-25))\/(2\/(-95)). Let b = 80 + f. Solve -i - i - 4*k = 22, -23 = 3*i + b*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 99. Let v = 124 + r. Let q = 227.999839 - v. What is q rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**3\/6 + 13*w - 17. Let s(y) be the first derivative of h(y). Let j(x) = -77*x. Determine j(s(r)).\nAnswer: -77*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 - 2*o + 3. Let z = 33 + -34. Let w(x) = x**2. Calculate z*s(p) - 6*w(p).\nAnswer: -p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4563?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43.8 - -44. Let u = 3.1 + -3. Let q = u - 0.1. Is q smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 1230435*s.\nAnswer: -5*s*(s + 246087)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 5*f**2 - 1719*f + 13776. What is k(8)?\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19767 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-238)*((-5040)\/195)\/8?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 2*w**2 - 2*w**2 - 2*w**2 + 3*w**2 + w**2 + (-w**2 - 4 + 4)*(-1 + 3 - 3) + 2*w**2 + 5*w**2 - 3*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p - 36*p + 13*p - 893*p**3 - 853*p**3 + 1801*p**3.\nAnswer: 55*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 98072121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2876, 5752, 8628, 11504?\n\"Answer: 2876*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011000110101100001 (base 2) to base 11.\nAnswer: 55731a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s = 35*s + 75. Let w = s + 17. What is the remainder when w is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -37 - (1 + 0 - 1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 1)*(-220*l + 60 - 60).\nAnswer: 1100*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1272 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**5\/5 + 15984*d**4\/5 + 16164*d**3\/5 - 943566*d**2\/5 + 1774719*d\/5 - 863298\/5 = 0.\nAnswer: -9, 1, 6, 5329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 - 4 - 91*a - 99*a + a**3 - 2 in the form h*a**2 + f + k*a + q*a**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(1008) - sqrt(1008)*3))**2 + -4)*-3.\nAnswer: -12132 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b + f, 4*b - 2*f + 2 = -0. Suppose 2*u = 2*q + 28, -q - u = q + 22. List the prime factors of (b*q)\/(-10 + 8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1)\/6*-33. Suppose 6*l = q*l - 560. Let i be 7\/2*320\/l. Solve 9 = -v - 2*m, v = -4*m - i - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 + 478. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -2\/9 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36633 and 22.\nAnswer: 805926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178618.\nAnswer: 2, 11, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + g**3 + 52*g**3 + 10*g**3 - 11*g**2 - 2*g**3.\nAnswer: 61*g**3 - 11*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229 - 135. Let v be (5\/(-10))\/((-1)\/g). Let w = -3998 - -4233. What is the highest common factor of w and v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13*h**2 - 18. Let m(y) = 23*y**2 + 37. Determine 9*c(g) + 4*m(g).\nAnswer: -25*g**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 382\/7 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60081853.\nAnswer: 13, 89, 51929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.36 + 0.36. Let g = -3.02 + 0.02. Which is the smallest value? (a) 0.1 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/(9\/12). Let m(p) be the first derivative of -2*p**3 - p**2\/2 + 4*p - 18. Let n(w) = w**2 - 1. What is g*m(b) + 10*n(b)?\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.3, -2\/3, -0.5 in decreasing order.\nAnswer: -0.3, -0.5, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-20)*1 - (-2187)\/(-9228). Let i = -68321\/9228 - o. Calculate the common denominator of i and 65\/166.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2 - 2 + (h + h - 3*h)*(2*h + 0 + 0) - 3*h**2 + 3*h**2 - 2*h**2 + 3*h**2 - 3*h**2 - h**2)*(227 - 46*h - 227).\nAnswer: 322*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2. Let h(c) = -64 + 17*c**2 + 64. Give h(d(b)).\nAnswer: 153*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**4\/5 - 465411*d**3\/5 + 16753569*d**2\/5 - 32110909*d\/5 + 3164550 = 0.\nAnswer: 1, 34, 465375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*m + 39811 = -361*m + 55*m for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -60, -42, -4, -5, 3 in ascending order.\nAnswer: -60, -42, -5, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 + 51*l - 92. Calculate s(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*sqrt(44)\/(sqrt(16)*3))**2*-2 + -1.\nAnswer: 269\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10451946.\nAnswer: 2, 3, 977, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 6*m - 5. Let b be k(9). Let j = -15 + b. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6426 and 702?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30446394 and 1914.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.188, 1125, 5\/3, 182?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -f9 (base 16) to base 4\nAnswer: -3321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/7 - 6\/(-21). Let g(s) = -2*s**2. Suppose -z - 4*a = -10 + 27, -13 = 4*z + 5*a. Let j(t) = -t**2 - t**2 - 3*t**2. Give m*g(r) + z*j(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3451 - 3450. What is the remainder when 217 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -129 (b) 1\/6 (c) 0.13 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 88\/33*(-18)\/(-4). Let s(d) = 10*d + 5*d - r*d + 10*d. Let y(t) = 2*t**2. Determine s(y(i)).\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.627 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 658.46 - 654. Let p = -44.54 + 45. Let u = d - p. Which is the nearest to -0.1? (a) u (b) 4\/7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5834216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168, -10, -3, 4, 0, -9, 3 in ascending order.\nAnswer: -10, -9, -3, 0, 3, 4, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 967011313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.020851 + -0.0284.\nAnswer: 0.992451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*v**2 + 21*v + 1234*v**5 - 29*v - 39*v**2 wrt v?\nAnswer: 74040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + v**2 + 2*v + 4. Let c be s(3). Let n = c - 146. Does 8 divide (-2140)\/n - 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.04 + 0.04. Which is greater: q or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3062290.3 to the nearest ten thousand.\nAnswer: -3060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 85*k + 397. Let q be t(5). Let f(s) be the second derivative of 0 - 1\/2*s**3 - s**2 + 1\/12*s**4 - 4*s. What is f(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 6*t + 5*t - 3*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-2)\/(-8))\/(10\/20).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5697 + 5697. Solve -3*g + 9 = -3*d - p, g + 3*d = -17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**4\/12 - 342*v**2 - v. Let d(f) be the first derivative of 133*f**3\/3 - 2. Determine s(d(q)).\nAnswer: -266*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-230)*230\/100.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from gtxttttttttgtt?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1720241913 to the nearest integer?\nAnswer: 41476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 1 + 2 - d**2. Suppose -39*i = -54*i + 75. Let p(j) = 4*j**2 + j - 7. Calculate i*l(w) + 2*p(w).\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13174, 13172, 13170, 13168, 13166?\n\"Answer: -2*s + 13176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at least as big as 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60239624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*j**2*s**2 - 3*j**2 - j*s + 1464*j - 2*s**2 + 2*s wrt s.\nAnswer: -80*j**2*s - j - 4*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 6 + 2 - -1. Let y be 2 - (n - 1)\/(-6). Which is the closest to 2? (a) y (b) 6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 10:20 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 63\/(-90)*(-4)\/21. Which is the closest to 0? (a) -5 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14771, 58870, 132371, 235274?\n\"Answer: 14701*b**2 - 4*b + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110*11\/66*2\/6*(-216)\/(-24).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/(-150)*(18\/3)\/(-6)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 9:53 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(4\/32). What is the closest to 5\/2 in u, 1\/2, -10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126357 (base 10) to base 5\nAnswer: 13020412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -75, -64, -37, 12, 89?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 14, 37, 146 in decreasing order.\nAnswer: 146, 37, 14, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f = 4*r, 2*f - r = 0. Suppose 31 = 2*q + 29. Let w be 14 - 13 - q\/(3\/9). Sort -3, f, w, 2.\nAnswer: -3, w, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-11 + 41 + -7)) + 36\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) + 4\/3. Let q = 35 + -35. What is the second smallest value in -0.5, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3860 divided by 965?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 11744880?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 8933*z**2 + 17879*z**2 - 8942*z**2 - 61.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 5*a - 72. Solve 5 = 11*f - a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - c - 1. Let w(a) = 5*a - 57. Suppose -89 = -6*b - 23. Let s be w(b). Determine z(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {w: 6, j: 12}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8271371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15 = -2*f. Let z be 10 - (10 + -1) - -33. Let u be z + 1 + (-16 - (-16 + 0)). What is the highest common factor of f and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141339028?\nAnswer: 2, 35334757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 374383471 by 4.\nAnswer: 374383471\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -141+226.689088839\nAnswer: 85.689088839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 1550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v**3 - 97*v**3 + v**4 + 3*v**4 = 0 for v.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 11*g**2 + 2*g - 7. Let b(j) = 10*j**2 + 3*j - 6. Let i(m) = 2*b(m) - 3*p(m). What is the first derivative of i(n) wrt n?\nAnswer: -26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185 - 132. Suppose -143 - i = -2*q. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107514 less than 107420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = 4*r. Let d be (8\/6)\/r*-3. Suppose -i + 4*i = d*l + 36, 0 = 5*i - 2*l - 64. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 389, 629?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from zblhi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 1)*(-1 - 16 + 2)*(-2*v + 0*v + 3*v + 4*v + 2*v - 2*v + (v + 0*v - 4*v)*(0 + 2 - 1) + 6*v + v - v + 1 - v - 1) to the form m + h*v and give h.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 68, -44, 0 in descending order.\nAnswer: 68, 1, 0, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18657 times 0.3?\nAnswer: 5597.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2\/5 - 103314*k\/5 - 889481883\/5 = 0.\nAnswer: -17219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10562 and 80?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 29*g**3 + 11*g**2. Let u(b) = -15*b**3 - 6*b**2. Determine 6*c(r) + 11*u(r).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 53*h + 27271 = -51*h, -2*h - 4 = 0. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*l + b - 5, 4*l + b - 11 = 0. Suppose 7 + 0 = d + x, 9 = l*d - 3*x. Solve -2 = d*n + 5*s + 13, 2*s + 3 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43430458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 5890.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 16*c**2 + 12*c - 3. Let m be x(9). Let f = m - 5547\/4. Calculate the common denominator of 69\/2 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -458*l**2 + 354 - 355 + 74*l**2 in the form v*l + n*l**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1862 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a factor of 85698984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 1, o: 2}. What is prob of picking 1 v and 1 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 7913579.\nAnswer: 23740737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*m = -1376, 17*l - 12*l + 2*m = 1727. What is the lowest common multiple of 10 and l?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175*d**2 - 379*d**2 + 839*d**2 - 5659*d**3 + 692*d**2 + 910*d**2 wrt d?\nAnswer: -33954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 - -225. Suppose -172*k + 167*k - 3*w + 1482 = 0, 5*w = 10*k - 2975. Calculate the greatest common divisor of k and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -0.2 (b) -3 (c) 33 (d) -5 (e) 4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 12.3 (b) 0.1 (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/5 > -12287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w + 3. Let o be p(0). Solve c - 12 = -o*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 7. Let h be k(7). Suppose u - 5*j - 20 = h, -6*u - 2*j = -u - 19. What are the prime factors of 37\/u + (-4)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*u = -62*u - 40923. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.45033ug in kilograms?\nAnswer: 0.00000003545033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3031692.66 to the nearest ten thousand.\nAnswer: -3030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-112)\/40 + 4\/5. Let h(q) = 18*q. Let a be h(r). What is the units digit of 30\/(-4)*120\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10732561 (base 9) in base 10?\nAnswer: 5217913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 1 - 3. Suppose -5*b = 2*v - 25, 0*b = -2*b - y*v + 10. Solve b*d + 2 = 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t**3 + 2*t**2 + 39*t. Let p(k) = 17*k**3 + 4*k**2 + 86*k - 2. Give -13*m(j) + 6*p(j).\nAnswer: -2*j**3 - 2*j**2 + 9*j - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-8)*-12*(0 + -12). Let j = f + -67. Solve -x + j*x = 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -4)\/((-2)\/(-2)). Suppose m = -3*x + 3*h - 7*h + 2, 20 = -5*h. Calculate the smallest common multiple of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 = 5*w + v, 3*v - 10 = w. Calculate the remainder when 2\/(-13) + w + (-834)\/(-13) is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*j = -142676 - 157272. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 6*t - 5. Let x be v(4). Suppose 4*y = 6*y - 4*g - 22, -5*y + 5*g = -x. Suppose 5*k = -y*h + 20 + 92, -32 = -2*k + 2*h. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 12. Suppose -3*h - 3 = -2*c + c, 2*c - l = -5*h. Let k be h - (1 - 2 - -1). Solve k*a - a = -2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 4*f**2 + 11*f - 5. Let g be z(-6). Let c(m) = 3 - 3 - 6*m + 1. What is c(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -25118*c + 326573. Calculate k(13).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1363, 1361, 1357, 1351, 1343?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 263662 (base 7) to base 13\nAnswer: 19630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 11. Let n be g(-5). Let d be (-15 - n)*(-4)\/((-4)\/(-2)). Let k be 92\/16 - ((-7)\/(-4) - d). Solve 0*f + 3*f - k = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 13*d + 19. Determine s(14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*c - 884, 4*y + 2*c - 692 = 1028. Suppose -4*a + y + 696 = 0. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/80*10\/26?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 18*q**3 + 2*q**2 - 1. Suppose -3*t - 2*t = h - 137, -125 = -h - t. Let z = -123 + h. Calculate g(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 3 = 12*q. Suppose -3*c + 0*c = q*c. Sort -26, c, -3 in ascending order.\nAnswer: -26, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/27)\/((5320\/30)\/14)*-2.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 5, e: 1, w: 8}. Give prob of sequence we.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*t + 74, -2*f - f + 149 = -2*t. Let z = f - 94. Does 11 divide (-16)\/(-4) + -7 - z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 2:57 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(sqrt(78) + sqrt(78) + (sqrt(78) + sqrt(78)*-1 + sqrt(78) - sqrt(78)) - sqrt(78)))\/((sqrt(6) - (5*sqrt(24) - sqrt(6))) + sqrt(6)).\nAnswer: -4 + 5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 483017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.573 + 16.4\nAnswer: 15.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dppbdadahp. Give prob of sequence baa.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -2561894.\nAnswer: -5\/1280947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 4 (c) -4 (d) -0.8 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, e: 1, r: 3, h: 1, p: 1}. Give prob of picking 1 h and 1 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -4, 4, 20 in decreasing order.\nAnswer: 20, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 93 = -3*m, -3*r + 27 = -2*m - 44. Suppose 8*o + r = 5. Which is the closest to 1? (a) 4\/7 (b) 23 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2946\/505 at least -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1028 = 2*h - 188*r, 1523*h + 93 = 1525*h - r for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2263013 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 180 + -15. Let p = w + 172. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 10:55 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8251a2 (base 14) to base 2\nAnswer: -10000110000101000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*k = -53*k - 6594048. Is k a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-2) + -1)\/1. Suppose 4*m + 0*m - 356 = i. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033400432 (base 5) in base 13?\nAnswer: 6089a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpp when three letters picked without replacement from ppppqppppppppqqpqpp.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24751411 to the nearest integer?\nAnswer: 4975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 926 - 726. Calculate the greatest common divisor of 800 and d.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6. Suppose l = -5*o - 0*o - 30. Let s = 5 + o. Which is the nearest to 0.1? (a) s (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 563, 915, 1339, 1835, 2403?\nAnswer: 3043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**7)\/w**11)**(2\/21))**(1\/2) assuming w is positive.\nAnswer: w**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 8*s. Let p be j(8). Suppose p = 4*t - 2*a - 40, -t - 26 = -3*t + 4*a. Calculate the smallest common multiple of t and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*p + 45*p - 11 = -54*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvjjvnvpmnnnvnjnnnp. What is prob of sequence pjn?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**2 + 2*g**2 + 2*g**2)*(28*g**2 + 37*g**2 - 22*g**2)*(-3 + 5 - 4) to the form i*g + s*g**3 + p*g**4 + x + h*g**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-28))\/((-5588)\/889)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 23 + 131 = 0. Let x be (-63)\/d*(35 - -1). Does 13 divide (x\/(-12))\/(5\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.07 (c) 0.8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 371304.5 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - c. Let r(a) = 12*a**2 + a. Let h(t) = -t**3 + 26*t + 41. Let w be h(-2). Calculate w*d(x) - 3*r(x).\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**42\/(n*n**(-1\/6)*n\/(n**(2\/21)\/n)))**37 assuming n is positive.\nAnswer: n**(6031\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*i**3 - 6*i**3 + 21*i**2 - 5*i**3.\nAnswer: 21*i**3 + 21*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -11a27?\nAnswer: -11a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/3)*f**17 assuming f is positive.\nAnswer: f**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16961654 to the power of 1\/2, to the nearest integer?\nAnswer: 4118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**6\/360 + r**5\/60 + r**4\/6 - 2*r**3 - 5. Let a(k) be the third derivative of q(k). What is a(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = -10*b + 11*b, 5*b + 2*p = 20. Suppose -3 = 5*g - 63. Let i = 7 - 7. Solve b*m = -i*m + g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 11:24 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 3*x + 132 = 324, 6*s - 45*x = -47*x - 80 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*f + 33. Let r = 35 + -24. Calculate the highest common factor of f and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1018, 1007, 988, 961, 926, 883?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**4 + i**3 + i**2 + 1. Let y(p) = 10*p**5 + 6*p**4 + 82*p**3 - 479*p**2 + 6. Let s(d) = 6*q(d) - y(d). What is the third derivative of s(l) wrt l?\nAnswer: -600*l**2 - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.31253 centimeters to kilometers.\nAnswer: 0.0008431253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 x when four letters picked without replacement from xaxxaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/1008909 and -155\/40764.\nAnswer: 4035636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 19. Suppose v = -3*l + 21. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {k: 17, b: 2}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 689 = 4*d, 3*h + 5*d - 757 = -63. Let o = h + -218. Solve -7*l + 8*l - o = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119 + 51 - 21*b + 58 to the form d*b + r and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-18065)\/(-2) + 9\/(-1 - -37)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -229955 divided by 37?\nAnswer: -6215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 164458.6.\nAnswer: 65783.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*d + 410. Let u = d - 33. What is the remainder when u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9479816002 - 9479653356.00047. Let g = a + -162633. Let n = -13 + g. What is n rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3436982.796 to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q\/(q**4\/q)))\/q))**(-6)\/(q**17\/(q*q**(-10))) assuming q is positive.\nAnswer: q**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115\/4 or -20\/67?\nAnswer: 115\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*y = -11, -4*c = c + 4*y + 9. Let b(k) = -3*k + 2. Let o(p) = -6*p + 4. Let m(w) = 2*w**2 - 13*w - 12. Let t be m(-1). Calculate c*b(u) + t*o(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*k - 53. Let q = -15 - -26. Calculate the remainder when k is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -146*o**4 - 725*o**3 - 851*o**2 + 30*o.\nAnswer: -o*(o + 2)*(o + 3)*(146*o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-38)\/(-10) + -3)*15. Let r = -73 - -76. Suppose -r*q + 648 = j. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387 - 90 = -73*u - 593 - 789 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 372857272 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 101651603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.13 (b) 0.3 (c) -1\/5 (d) 3 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r = -18*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2098*h**3 + 2169*h**3 - 19844 + 18659 with respect to h.\nAnswer: 12801*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**3 - 2*v**2 + 14*v + 11. Let u be y(-5). Calculate the greatest common factor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -700b (base 12) to base 6.\nAnswer: -132015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -278763.5 - 549?\nAnswer: -279312.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 386403\/27 + (-16)\/72 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4 - 2 - 3 + 20*b**2 + 2*b - 3*b**2. What is the lowest common multiple of 14 and p(1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -49216\nAnswer: 295296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -690380 to the nearest one thousand.\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 3*k**4 - 2*k**4 + (0*k**3 - 3*k**3 + 5*k**3)*(-2 - k + 2) - k**4 + 2*k**4 + 0*k**4.\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 13*l**2 + 3679*l - 26261. Determine n(7).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7888 and 12240.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38334947*f**2 - 38335082*f**2 + 2*f + 0*f.\nAnswer: -135*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 24446144*p + 24446144*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 2*v + 82. List the prime factors of z(0).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {g: 8, a: 3, j: 5}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 5:16 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71 - 2*q**2 + 1014*q + 0*q**2 + 2 + 69 to the form z*q + h*q**2 + o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86847 is divided by 274.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*v - 2 = 4*g, v + 1 = 3*g. Let x(z) = 13*z + 1. What is the tens digit of x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*r - 85 = -128*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 42*k**2 + k + 68. Let l be j(42). Suppose x - l = 3*n, 0*n = -4*n - 16. What is the remainder when x is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -92231 and 454752.8?\nAnswer: 546983.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 32*s - 37*s = -25, 0 = -a + 5*s - 25. Suppose 3*k - n - 3 = 4, -2 = 2*n. Solve a*r - k*r = 2*v, 2*v = -r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - -655231?\nAnswer: 655205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 - 2*n - 6. Let c = 10 + 2. Let y = -9 + c. List the prime factors of m(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = 85. Let t(j) = 5*j**3 - 2*j**2 - 3*j + 3. Let x be t(2). Let z = x - p. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 66, 64, 62, 60?\n\"Answer: -2*i + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5 - 17. Let u(w) = -w - 2. Let d be u(-4). Suppose -d*r - 7 = -17. Solve -b = -s*g - 3*b + r, 2*g - b - 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 + -12.23. Let p = -66 + x. Which is smaller: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3220 = 408. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(143) - (sqrt(143) - (sqrt(143)*3 + sqrt(143)))) - -1*3*sqrt(143))\/(sqrt(11)*-2*5 - sqrt(275)*-3))**2.\nAnswer: 5733\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 + 6*h - 6. Let l(v) = -v**2 - v + 1. Let c(y) = i(y) + 6*l(y). Let s(k) = -4*k. Determine c(s(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 5, f: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 - 70 - 24 - 239)*(-6 + 6 - k - 3*k**3).\nAnswer: 1197*k**3 + 399*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.11 * 0.035.\nAnswer: -0.10885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -4*y. Let n be 14\/4 + (y - (-25)\/10). What is the second derivative of d**2 - 4*d - 6*d + n*d + 2*d**2 wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 1. Let f(i) = 1. Calculate -f(m) + 2*u(m).\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2 = -5*u. Suppose 4*g = u*x + 98, -3*x = -2*g + 37 + 22. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 3) + 7\/((-28)\/(-712)). Let t = o - 119. What is the highest common factor of t and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286225176.\nAnswer: 2, 3, 61, 193, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-4) + (-4050)\/(-36)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-75)\/50 + 63797\/(-2). What is f rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 14325?\nAnswer: -14323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, w: 6, u: 5, h: 2, s: 2, i: 1}. Give prob of picking 1 g and 1 s.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9162816 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*j - 97*h**2 - 2*h*j**2 + 82*h*j with respect to j.\nAnswer: h**2 - 4*h*j + 82*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-231)\/(-6435)*3270 - 117.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*f - 0*f. Suppose -f = -7*a + 11. Calculate the least common multiple of a and 131.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79109 rounded to three decimal places?\nAnswer: 0.791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271501.02 rounded to the nearest 1000?\nAnswer: 2272000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 186605268, 186605269, 186605270, 186605271?\n\"Answer: a + 186605267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 6:42 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.72 times -219.878?\nAnswer: -817.94616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 7026, -5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*u**3 + 210*u**2 - 315*u + 50 = 0 for u.\nAnswer: -5, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 - 12*v - v**2 + 9*v**2 as l*v + c + k*v**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34642, -69455, -104438, -139585, -174890?\nAnswer: -210347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 10110101010?\nAnswer: -10110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -6, -4, 6 in ascending order.\nAnswer: -6, -4, 2\/19, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18227 (base 9) in base 4?\nAnswer: -3010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5204 (base 10) to base 11\nAnswer: 3a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 13264*m**2 - 185987*m + 1261410.\nAnswer: (m - 13278)*(m - 5)*(m + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:01 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 16 + 47. Solve -6*b - c - 3 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73278 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12.6 (b) 3 (c) -0.038 (d) 1\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3 + 362*m**2 - 721*m + 360 = 0.\nAnswer: 1, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2873 + 2872.997177. Round v to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.278 + -0.278. Which is the nearest to o? (a) -1\/3 (b) 1\/6 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 25*s + 503. What is a(-17)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 54\/10 + (-15)\/(-25). Let u be 2\/t + (-52)\/(-60). Factor -4\/5*m**2 + 0*m - 14\/5*m**5 + 24\/5*m**4 - u*m**3 + 0.\nAnswer: -2*m**2*(m - 1)**2*(7*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-22)*(-16)\/(-8))\/13\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 84. Let c be u(-16). Let j(g) = g**2 + 4*g - 4. What is j(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/30*(-20)\/24. What is the second biggest value in -2, 32, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-32)\/4)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 30*d - 30*d + (4 - 4 + d)*(d - 3 + 3) - 3*d**2 + d**2 - 3*d**2 + (-3*d + 0*d + 4*d)*(8*d - 5*d + 3*d) - 3*d**2 + 3*d**2 + 4*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0 - -23)\/(-2). Let z = 21 + x. Suppose l - 6 - z = 0. What is the lowest common multiple of l and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1345*n. Let z(a) = 907*a**2 + a. Determine z(o(i)).\nAnswer: 1640785675*i**2 + 1345*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -3 - 0)*-1. Suppose 2*r = w*r - 118. Let o(f) = 3*f**3 - 56*f**2 - 18*f - 4. Calculate the remainder when r is divided by o(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 21*k - 31. Suppose 4*n + 28 = m + 10, -4*m + n = -12. Suppose a + m*q = 14, 5*a - 4*q - 8 - 6 = 0. Is y(a) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 201?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 7*l + 10. Calculate the greatest common factor of l and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from vdweq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, -0.4, 0.09, 845 in decreasing order.\nAnswer: 845, 0.3, 0.09, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 4*o**3 + 17 - 16*o**2 + 2*o**2 - 6*o**3. What are the prime factors of x(-9)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2408 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 7*o + 2. Let r be i(-6). Suppose 5*a - 2*p = 28, -4*a + 16 = a + p. Let z = a - r. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/6, 765 in increasing order.\nAnswer: -1, 1\/6, 765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(1012\/(-77))*37\/(-75). Let y be (12\/9)\/(50\/(-4)). Let j = y - f. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282971?\nAnswer: 2282971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 122 + 74. Let t = -88 + 92. Let k(l) = -l**2 + 9*l - 6. Let j be k(t). What is the highest common factor of f and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.9 + -9. Let p = 0.1 - g. What is the closest to 1\/4 in -2, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -1\/8 (c) -4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1997*l**2 - 1997*l**2 + 123*l**4)*(-3 + 17 + 57) in the form a*l**4 + h*l**3 + j + v*l**2 + x*l and give a.\nAnswer: 8733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 20. Let q be k(16). Let o(f) = f**2 - 2*f + 2. Calculate the remainder when q\/7 - -207*(-1)\/(-7) is divided by o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44891647, 179566584, 404024813, 718266334, 1122291147, 1616099252, 2199690649?\nAnswer: 2873065338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1386, -3753, -17712, -44901, -89730, -156609, -249948, -374157?\nAnswer: -533646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let r = x - -16. Calculate the remainder when r is divided by (5\/(-15))\/(2\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*q + 2*q**3 - 140*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2. Suppose -3*h = -t + 3*t - 18, -3*h + 12 = 0. Let b(u) be the second derivative of t*u - 1\/3*u**3 + 0*u**2 + 0. Determine y(b(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -93\/13 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 - 1832*n\/7 + 14528\/7.\nAnswer: 2*(n - 908)*(n - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3713\/5 - 740. Is d smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2021 + -2014. Solve 49 = -d*r + 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v + 3 - 4 - 2 + 4*v**2 + 0*v. Let f(z) = -3 + 7 - z**2 - 5*z - 4*z**2. Determine -3*f(o) - 4*h(o).\nAnswer: -o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.6 or -163\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 7*f**2 + 4. Let a be q(-7). Find the second derivative of -2*w + 13*w**a - 4*w**4 - 4*w**4 - 3*w wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqnqvnvmvmrqmvviv. Give prob of picking 1 q, 1 n, 1 v, and 1 r.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0608935968 to 5 dps.\nAnswer: -0.06089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 13518*b - 4 + 17 + 45395*b. Let h be y(12). Let t = h + 603031. Round t to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 8 = -2*g. Let s = 8 + g. Solve -s*u + 6*u = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.02 - -3.02. Which is greater: q or -27.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * -0.0451.\nAnswer: -0.06314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -0.4 (b) -8 (c) 46 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/36*9 + -2. Suppose b = -548*m + 543*m + 10. Solve 0 = -m*p - 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 33 + 17 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - -0.04. Let u(r) = 123*r + 1473. Let w be u(-12). Let d be (-3)\/3*6\/42. Which is the closest to o? (a) 0 (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 15*k**2 - 40*k - 266. Let x be d(-35). Are 19510 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4*z*(z**(1\/5)*z)\/z*z**(-12)*z*z**(-5\/3) assuming z is positive.\nAnswer: z**(-112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.39 - -0.03. Let u = p + 21.58. Let v = -25 + u. Which is the smallest value? (a) v (b) 7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 - -0.1. Put w, -2\/3, -4 in decreasing order.\nAnswer: w, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65053460?\nAnswer: 2, 5, 487, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 8:53 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2869 - 2551 + 7289 - 3033)*((-2*p + 2 - 2)*(-1 + 3 + 0) + 7 + 2*p - 7).\nAnswer: 2328*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z + 8. Solve -5*w - 4 = -w - 5*x, 3*w = z*x - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(24\/48*(-2)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 137277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f - 15. Determine u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - m - 7, -r + 0*r = -2*m - 5. Sort -1, 4, r in ascending order.\nAnswer: -1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 60, -2, 4, -1, -42 in descending order.\nAnswer: 60, 4, 2, -1, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92594 is divided by 753?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 - -0.45. Let i be (-1 - 0)\/(-1)*0. Which is the nearest to i? (a) r (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*z + 66 = 0, -w + 9*z - 33 = 13*z. Which is the closest to -3? (a) w (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1232 + 320?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 688137917 to the power of 1\/2, to the nearest integer?\nAnswer: 26232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18498 - 9771. Let s = 3884 + q. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 221220121?\nAnswer: 221220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*h + 43 + 5 = 0, 0 = -3*g + 5*h + 40. Let f(w) = 3*w - 60. Let x be f(g). Which is the smallest value? (a) 2\/3 (b) x (c) 4 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + y**5 - 3*y**5 - 1 + (0 + 3 - 4)*(2*y**5 + y**5 - y**5) - 4*y**5 + y**5 + 2*y**5.\nAnswer: -5*y**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -906 from -1.8.\nAnswer: 904.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2179 + 2179.0007375. Round q to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spszksspj. Give prob of sequence pj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**5\/3 - 16*v**4\/3 - 4*v**3.\nAnswer: -4*v**3*(v + 1)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -g, 2*n - 39134 = -g + 3*g. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f + 7. Let s = -11 + 19. Let q be y(s). Suppose -2*a + 3*z = -q, 3*z - 61 = a - 3*a. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*v - 5*f, 2*v + 3*f - 8*f + 23 = 0. Calculate the greatest common factor of v and 413.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13243 is divided by 602?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/1846 and -167\/126?\nAnswer: 116298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 1. Let u(g) = 4*g**3 + 6*g**2 - 5*g - 7. Let k(q) = 5*a(q) - u(q). Let b be k(5). Calculate the highest common factor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from qknnttqtkttkq?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Let u(d) = -5 + 2*d + 5 - 4 + 2*d. Calculate u(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -221*k**4\/24 + 53*k**3\/3 - 2*k**2 + 56*k. What is the derivative of h(s) wrt s?\nAnswer: -221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2 + 95308*j = 0. Calculate j.\nAnswer: -23827, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*a - 2852 + 5503 = -5413 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 406, 810, 1214?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 368 + 325 - 693.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 0*v**2 + 1 + 3*v**3 - 2*v**3 - 4*v**2. What is t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l + 7 = 3*h, 13 = 3*h + 2*l. Suppose -h*q + 10 = -17. What is the remainder when q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9. Suppose 2*q - z = 4*q + u, 2*q = -4*z + 4. Let p(b) = -b**3 - 5*b**2 - 5*b - 1. What is p(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l - 12 = -2*g, 12 = 3*g - 3*l. Find the second derivative of -s + 0*s + 0*s**g - 3*s**5 - s wrt s.\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 5, 16429.\nAnswer: -145, 5, 16429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {j: 3, f: 3, i: 4, c: 4, q: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = z + 3*z. Suppose -10 = -4*k + z. Let c = 177 + -176. Solve -c = 2*p + 2*w + 7, p + k = w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-21))\/((-2)\/(-7)). Let r(f) = f**3 + 6*f**2 + 2. Let t be r(-6). Let s(b) = 0 - 2*b - t + 5. Determine s(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3748582537809\/10472 + 715924865\/2. Let r = -3\/1496 - i. Calculate the common denominator of 4\/10 - 488\/70 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 2\/15, -1\/4, -3, -42?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z = -12. Suppose 92 = -12*q + 14*q. Calculate the remainder when q is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 + 103*r + 78. Let k be z(-25). Let -30*h - 15\/2*h**k + 18 - 69\/2*h**2 = 0. Calculate h.\nAnswer: -3, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (18\/27)\/((-2)\/(-108))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126272 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/3 + 30\/25. What is the smallest value in 0, -0.8, r?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488243267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246090*v + 51815*v + 2212*v.\nAnswer: 300117*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5994 + 706 = 396*a - 162*a + 1498 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1062 divided by -40167.\nAnswer: -118\/4463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*b, 0 = 2*c + 24*b - 22*b + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -856*f - 78760. What is w(-92)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/768 and 151\/272736?\nAnswer: 2181888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 < 590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f + -e0?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 10*w + 3. Let o(v) = 2*v**2 - 11*v - 2. Let i(r) = -4*b(r) - 3*o(r). Let t be i(-4). Let m = t + 25. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3560733 divided by 62469\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**1)\/k)**(1\/5)*(k*(k\/(k**(-4)\/k))\/k*k)\/k*k\/k**(-2))\/(k**4\/k**(-2\/15)*(k\/(k\/(k*k**(-1)))*k)**(-27)) assuming k is positive.\nAnswer: k**(481\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1190 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 9:33 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000641110802 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -71*k**3 + 3*k**2 + 2*k. What is the units digit of o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5296167 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83253\/14 - -5950. Calculate the common denominator of r and -31\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3629274 divided by 3629274.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -10. Let y = -1.2 + -26.6. Let w = y + -13.2. Is t > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(-6)*i))\/(i**(-4)*i))\/(i*(i\/(i*(i*i*((i**(-8)\/i)\/i*i)\/i)\/i))\/i*i*i**(-1)) assuming i is positive.\nAnswer: i**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 6*d - 4. Let a be i(3). Suppose a*v + 3*z = 105, v + 2*v - 4*z - 63 = 0. Suppose 2*r - 82 = 2*j, r - j - v = -4*j. Is r a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 680\/52 - -2 - (-75)\/(-975). Solve 4261 = f*s + 4306 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/36*-3)\/(5*(-35)\/(-100))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42615, -85232, -127849, -170466?\nAnswer: -213083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 117*i - 122. Determine t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 14*c**5\/11 - 176*c**4 + 6606*c**3 - 435536*c**2\/11 + 118552*c\/11 = 0?\nAnswer: 0, 2\/7, 7, 58, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003 less than -7\/297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 3. Let h(f) = 31*f + 17. Determine -h(r) - 6*x(r).\nAnswer: -37*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406*-11.\nAnswer: -4466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/12 and -32\/57351.\nAnswer: 229404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -156, -0.48 in increasing order.\nAnswer: -156, -0.48, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0+117\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4986289*n**2\/6 - 4466*n\/3 + 2\/3 = 0. Calculate n.\nAnswer: 2\/2233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282987938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 294\/28 - (-2)\/4. Let p(b) = -a*b + 5*b - 3 + 3*b. Let z be p(-7). What is the greatest common factor of 54 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12312 - 3243. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f - f + 5*f + (3 + f - 3)*(4 + 2 - 4) - 1657 + 639*f - 1262*f + 625*f)*(f**2 - 3*f**2 + 4*f**2) to d*f**2 + l + t*f**3 + x*f and give d.\nAnswer: -3314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -12. Suppose -2*v - 3*o + 75 = 0, v + k*o + 13 = 63. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 227760 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000321092777 rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 335*k**2. Let a(u) = 299145 + 4*u - 299145. Give t(a(w)).\nAnswer: 5360*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2750992, 2750995, 2750998?\nAnswer: 2751001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + 5*h + 2*h**2 + 5 - h**2 - 2 + 2 + (0*h + 5*h - 3*h)*(-2*h - h + h) + 0 + 0 + h**2 as x*h**2 + z*h + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*f - 0*f + 16, 4*v - 14 = 2*f. Suppose -f*g - 35 = u - 160, 3*u - 345 = -3*g. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/165034 and -133\/1818.\nAnswer: 1485306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kokkkkok. Give prob of picking 3 k.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385671.\nAnswer: 3, 11, 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -3411465148598\nAnswer: -3411465148597.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**4\/24 - 5*v**3\/3 + 2*v**2. Let h be a(8). Let n(o) = o**3 + 2*o**2 + 2. What is the units digit of n(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a millennium in years?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168*50*(-19)\/1425?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21488.\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r**(4\/7))\/(r\/(r*r**(5\/4)\/r*r))**1 assuming r is positive.\nAnswer: r**(-117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 5) in base 7?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197274 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: Which is the third biggest value? (a) -3 (b) 147 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 607895 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 600542?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4 + (4 + 1 - 4)*(6 - 1 - 3))*(1 - 4 + 1)*(-2*f + f + 2*f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 16617580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*n + 208*n - 86*n + 24 to t*n + x and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 16577 - 16196 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7316 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 4*q + q - 90 = 0. Suppose -5*u = -0*m + m, -q = -m + u. Factor 21*t - m*t - 3*t**3 - 4 + t**3.\nAnswer: -2*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -384*t - 3041. Determine n(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10\/11 - 19\/33. Let b = 2 - 1. Let r = 0.29879 - -4.70121. What is the closest to r in f, 0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -461.06 + 461. What is the second biggest value in 0.16, x, 2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*z**5 - 11*z**4 + 2333*z**2 wrt z?\nAnswer: 1320*z**2 - 264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6086 rounded to 1 dp?\nAnswer: 25.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 11) in base 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*100263\nAnswer: 20052.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:53 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*m + 1179 = 188*m. Let t = m + 397. Solve j = -t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3715 and 2\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**3 + 0*g**3)*(-10 - 260*g**2 + 106*g**2 + 125*g**2).\nAnswer: 58*g**5 + 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**4\/24 + 1180*o**2. Let v(y) = -4. Give v(w) - x(w).\nAnswer: -w - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (7 + -19 + 63 + -28)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51 - 36 + 97 - 11*k wrt k?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 193484 + -193479. Factor -4\/3*y + a*y**3 + 0 - 11\/3*y**2.\nAnswer: y*(y - 1)*(15*y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344141.3 rounded to the nearest one thousand?\nAnswer: -344000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 7:10 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 19 = -x. Suppose -3*z + w = z - x, -6 = -2*z + 4*w. Suppose -11 = -5*a + 3*y + 12, z*y + 9 = a. What is the closest to 1 in -4\/3, 1\/9, a?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - (-1)\/(4\/116). Find v such that 16*v - 8*v**5 + 6 - 6*v**4 + 21*v**3 - 15*v**3 + t*v**2 + 5*v + 5*v**5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36522, 22, 2, 3\/29, -2, -3\/5 in ascending order.\nAnswer: -2, -3\/5, 3\/29, 2, 22, 36522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -95*o**3\/6 - 161*o**2 - 280*o - 2. What is the first derivative of g(a) wrt a?\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrrrrrrsrrrsssrrrr.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h*h**(2\/7)\/h)\/h)**31\/(h**(-9)*h*h*h\/(h**(1\/6)*h*h)))**(-20) assuming h is positive.\nAnswer: h**(-20170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, a: 6}. What is prob of sequence aa?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 354454049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 1. Let t(f) = 5*f**2 + 5*f - 3. Let g(z) = z**3 + z**2 + 1. Let y(n) = g(n) + t(n). Let o be y(-5). List the prime factors of s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1233556 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) + 15\/9. Suppose 0*s = k*s. Suppose y + y = -5*z - 9, s = 2*y + z - 3. Solve y*l - 9 = 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 58 (b) 0.3 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -335 - -305. Let t = -395\/13 - q. Is 0 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/15, -8.8, 4, 12, 0.512 in increasing order.\nAnswer: -8.8, -2\/15, 0.5, 0.512, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 0 + 6\/7*r**5 - 2\/7*r**2 + 2\/7*r**4 - 6\/7*r**3 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72205765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x + 2*x - x)*(-1 + 1 - 1) + x + 0*x - 3*x - 4*x + x + 5*x + (-1 + 1 + 2)*(3*x + x - 6*x) - 2*x - 1 + 1)*(-x**4 + 0*x**4 + 0*x**4).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.2 + -22.2. What is the closest to -0.1 in a, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80690684 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 100010011001000110 (base 2) to base 11\nAnswer: 96924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42084 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15351 + 152. What are the prime factors of r?\nAnswer: 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.55 + -1.5. Let l = 3.05 - m. Which is the third biggest value? (a) l (b) -1\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 34*v**3 + v**2 - 21*v - 23. Give m(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004174 rounded to seven dps?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 405189559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 3:10 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1 (b) 17 (c) 3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27, -17, -61?\n\"Answer: -44*a + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 19 = -1. Let w(f) be the second derivative of -f**3\/3 + 3*f**2 + 2*f. What is w(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*u + 2*z - 4*z, 3*z = 15. Suppose 3*g + 4*p = -0*p + 13, -u = -4*g - 5*p. What are the prime factors of 10\/(g + (-9)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -673771 - -127.4727.\nAnswer: -673643.5273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-70)\/245 - 16\/(-7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 32 = 52 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -1\/120*a**6 - 5\/24*a**4 + 0*a + 7*a**2 - 1\/3*a**3 + 0 + 1\/10*a**5. Calculate z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002760186 rounded to 6 dps?\nAnswer: 0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.386571 to 3 decimal places.\nAnswer: -2.387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*a, -9*a - 51 = -4*d - 45 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -50 (b) 2\/19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20540789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 2.7, 1625, -1\/27, 0.4 in descending order.\nAnswer: 1625, 2.7, 0.4, -1\/27, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 27 - -8) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 18 + -3 + (17 - (-23 - -24)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-18)*156774\/7685?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 7. Let h be i(11). Differentiate 11*y - 2 + 0 + h + 4 wrt y.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + (-120)\/25)*(-5)\/(-2). Calculate the common denominator of -75\/28 and (1005\/15)\/(32\/l).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0227 - 0.0207718. Round g to five decimal places.\nAnswer: 0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -576584341 - 316.2732.\nAnswer: -576584657.2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*((sqrt(1539) + 3*sqrt(1539) - sqrt(1539)) + 3 - sqrt(1539) - sqrt(1539)))**2 + (-1 + sqrt(1539)*-1)**2 + (-1*(-2 + sqrt(1539)))**2.\nAnswer: -126*sqrt(19) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 746215864 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 416 - 417.6. What is the nearest to 1 in -1\/2, c, -2\/21, -2\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*x - 605 = -78*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1044 is divided by 863?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10518\/18 + 3\/18. Let t = -560 + m. Calculate the common denominator of (-62)\/40 - (0 + -2) and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13631000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -103, -464, -1081, -1954, -3083, -4468, -6109?\n\"Answer: -128*f**2 + 23*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1584) + -1).\nAnswer: -5 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -14139 and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 47 = 21. Suppose -3*p + j = 2. Solve 3*a = -m + 6, -2*a + p = 3*m - 6*a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbbbbbblbbbbbbbbbbbb. Give prob of picking 3 b.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.003 + -6.803. Let m = k + 6.8000321. Round m to 6 decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13448\/7 - 1154*u**4 - 66674\/7*u**2 + 168134\/7*u**3 - 80032\/7*u + 14*u**5 = 0. What is u?\nAnswer: -2\/7, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 52*x**4 - 99*x**2 - 5*x. Let l(i) = -3901*i**4 + 7426*i**2 + 376*i. Let n(t) = -376*b(t) - 5*l(t). What is the third derivative of n(v) wrt v?\nAnswer: -1128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 11:20 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.945914l to millilitres.\nAnswer: 5945.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 3*m**6 + 3*m**5\/5 + 8*m**3\/3 - 11*m**2\/2 + 21*m + 3373. Find the second derivative of n(a) wrt a.\nAnswer: 360*a**3 + 36*a**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(45\/8)*3\/(-4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -946 - -554. Let z = 14493 + -13914. Let n = y + z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - i**4 + 2*i + 0*i**2 - i**2 - 7 to y + v*i + q*i**4 + o*i**2 + c*i**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b - 1. Let z(s) = -4*s + 1. Let u(f) = -3*r(f) - 4*z(f). Let c be (6\/(-9))\/(((-16)\/12)\/(-2)). Let x(g) = -8*g + 5. Give c*x(w) - 5*u(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 4. Suppose 0 = 2*k + 3 - 17. Determine i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66268 and -3.\nAnswer: 198804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -2.76.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 3. Let z = -6 + 7. Put -1, z, u in increasing order.\nAnswer: u, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9780*o - 1154018. What is d(118)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 386.4407 to 0 decimal places.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 7 = 4*g - 16*c, 0 = -2*g + 4*c + 16. Let b(h) = -40*h - 77. Let k be b(g). Solve k*j + 107 = 101 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18514 + 53505. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -143432033?\nAnswer: -143432033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -525603 (base 9) to base 15\nAnswer: -628d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from rrrrnrrrrrrrrnnrrr.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51604690 and 6290?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a - 4. Give x(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:29 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -375, -3173, -10761, -25533, -49883, -86205, -136893, -204341?\n\"Answer: -399*i**3 - i**2 - 2*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -33. Suppose -q*p + 12*p - 16 = 0. Solve 0 = v + 3*u + 5, -5*u + p*u - 1 = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from hjhpaaaaaphjajp?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014348054107 to six decimal places.\nAnswer: 0.014348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 65 = -2*f, 3*s = -3*f + 6*f + 30. Suppose s*d + 2772 = 24*d. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 2:33 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-3*o**3 + 0*o**3 + o**3)*(-28 + 28 + 4*o).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-12) + ((-8462)\/(-24) - 45\/135). Solve -593 = -30*i - o for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -1\/28 (b) 1.6 (c) -3 (d) -0.02 (e) 1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2598775, -5197526, -7796277?\nAnswer: -10395028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 - 8 = 0. Suppose -2*j + j = 5*m + 21, 3*m = w*j - 9. Let s(t) = t**2 + 2*t. Determine s(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -2*c - 2*t, 7*c + 3*t - 112 = 6*c. Calculate the greatest common factor of 70 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 70 = 50*p. Let g = -9 - -21. Suppose -2*w - g = -6*w. Solve 6*t - p*t = w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1198295 divided by -511.\nAnswer: -2345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.11 and -358.\nAnswer: -358.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/57 + (-39200)\/(-140980)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 10:53 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 84848*x - 254542. Determine t(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j + 3. Let x be s(8). Suppose -4*f = -f - x. Let r = f + 24. What is the remainder when r is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29907089 a multiple of 1039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 139 - 251 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 8*m - 45. What is i(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-60))\/((-1)\/4). Sort -3, o, -1\/2 in descending order.\nAnswer: -1\/2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6015, 6251, 6659, 7227, 7943, 8795, 9771?\nAnswer: 10859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 9*k**2 + 5*k + 39. Let u be t(-9). Let r be (u - (-91)\/14)\/((-3)\/(-576)). Calculate the greatest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39380 and 16110.\nAnswer: 354420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*o - 536693*o**2 + 1073382*o**2 - 536690*o**2.\nAnswer: -o**2 + 40*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1)\/(-5*(-6)\/855). Find the common denominator of -53\/6 and (4\/(-48))\/((-6)\/v).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/97 + 249\/679. Which is the nearest to 2? (a) f (b) -1 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*p**3*s**3*u - 160883*p**3*u**2 + 2*p**2*s**3*u**2 + 5*p**2*s**3*u + 64*p**2*s**2*u**2 + 272*p*s**3*u**2 + p*s*u**2 wrt p?\nAnswer: -66*s**3*u - 965298*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -20*y + 93. Give o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 8, 1 = -s + c - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*h + 929 = -5*p, 0 = -h - 3*p + 291. What is h rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57111 and 34894821.\nAnswer: 34894821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -173 (b) 1.7 (c) -0.01926\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + sqrt(500) + sqrt(500) - (sqrt(500) + -5 + -4)) + 0 + 5 + 1)**2*2.\nAnswer: 600*sqrt(5) + 1450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1503*i + 52*i**4 - 1503*i + (2*i**2 - 2*i**2 - i**3)*(i + 9*i - 37*i) to the form u + d*i + r*i**2 + n*i**3 + j*i**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 116. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4946.9 + -5527. Let o = h + 580. Which is the closest to o? (a) -4 (b) 1\/4 (c) -1\/2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/120 + q**5\/15 - q**4\/24 + 2*q**3\/3 - 5*q**2. Calculate g(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 26*k - 24*k - 20, -3*k + 26 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10199712 and 2715.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 22 = 5*p, 23 = v - p + 5*p. Suppose -c + v*c = 8. Suppose -c*s = -4*j - 12, -j + 4*s + 13 = -2*j. What is the third smallest value in 1\/7, -1\/3, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**2 + 3*t. Give m(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)*z*z\/z**2*z)\/(z**(-2\/7))**(-8)*(z**(2\/3))**41*(z\/(z\/((z*(z\/(z*z*z**(4\/9)*z*z*z))\/z*z)\/z)))\/z*z*z\/(z**(-6)\/z) assuming z is positive.\nAnswer: z**(20641\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 2*j**2 - 5*j**2)*(3*j + 0*j - 2*j) - 95*j + 95*j - 53*j**3.\nAnswer: -56*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -5, -95, -11, -35, -7 in descending order.\nAnswer: 8, -1, -5, -7, -11, -35, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -105. Put -4, 1, -1, s in descending order.\nAnswer: s, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aawp when four letters picked without replacement from {g: 2, w: 1, a: 2, p: 2, f: 1, r: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 19 (b) -4\/5 (c) 505\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -110*n + 145. Let f(d) = -22*d + 29. Let y(w) = -11*f(w) + 2*o(w). Find the first derivative of y(u) wrt u.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 0*z**4 + 0*z**4 + z**4)*(2*z - 2*z + 4*z).\nAnswer: 4*z**5 + 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 - -179. What is the greatest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/25)*q**(3\/8)\/q)**(-3\/16)*(q**(-9)*q)\/(q*(q\/q**(2\/3))\/q*q)*(q\/((q\/q**0)\/q))\/(q\/q**(1\/10)*q) assuming q is positive.\nAnswer: q**(-99059\/9600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 438893.4 years in centuries?\nAnswer: 4388.934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -274*l*z**2 + 767551*l*z + 9*z**5 wrt z?\nAnswer: -548*l + 180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 - 373 = -15*i. What is the highest common divisor of 799 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 1:09 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.02 + 0.9. Let r = 12 + -12.62. Let o = w - r. Which is the smallest value? (a) 1 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-4)\/10))\/(5\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 6. Let r be g(-5). Suppose -5*c = 3*d + r, -8 = -3*d + 4*c + 6. Factor -1 + 0*p**d - 1\/2*p**3 + 3\/2*p.\nAnswer: -(p - 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 67 - 136 = -75 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18882 (base 9) to base 5.\nAnswer: -404430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 120281, 120346, 120505, 120806, 121297?\n\"Answer: 8*d**3 - d**2 + 12*d + 120262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 6427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.511 (b) -3 (c) -2 (d) 10.8 (e) -5 (f) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2439 and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540406 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d - 44. Let t be (-2)\/(-8) + d\/(-8). Find the first derivative of -1 + 5*q**3 - q**3 - 2*q**t wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65773015.\nAnswer: 5, 7, 11, 29, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 212 - 343. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163, -286, -319, -214, 77, 602, 1409?\n\"Answer: 8*o**3 - 3*o**2 - 170*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2. Let k(z) be the second derivative of z**4\/3 - 14*z**3\/3 - 2169*z. Calculate 3*b(r) + k(r).\nAnswer: r**2 - 28*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 94*y**2 - 6*y. Let j(v) = 1505*v**2 - 98*v. Determine 6*j(a) - 98*l(a).\nAnswer: -182*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/3 + 10\/(-5). Suppose -y*z + 44 = -20. Determine q, given that 16 + q**2 - q - z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2 + 2 - k. Let o = -9 + 9. Suppose o = -3*d - 4*n + 19, 3*n = 2*n + 4. Let b(r) = -r**2 + 4*r. Give d*b(x) + 3*m(x).\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1147 + 980 = 0. Let w = -295 + o. What is the smallest common multiple of w and 22?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*p**3 - 49 - 526*p**3 + 49 + 1077*p**3.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2488.1 in 0.7, -0.2, -4, 1\/4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -502*r + 4*b - b + 359 + 1189, -4*r + 68 = -4*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**2 - 12*o**2 - 5*o**2 + 0*o**2 + 0*o**2 - o**2 + 0*o**2 - o**2 + 2*o**2 + (-3*o - 1 + 1)*(0*o + 2*o - 5*o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 215.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*a*l + 27*a*q - a + 597*l*q with respect to a.\nAnswer: -17*l + 27*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -234 + 3508\/15. Let t = 1 - 0.5. Let q be (-2)\/(-9) - 2\/9. Which is the closest to q? (a) w (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*o - 1, -2*h + 2 = -3*o + o. Let t be (-4 - h) + 4\/2*6. Is 20 a factor of ((-200)\/(-6))\/(3\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 4*v**2 + 10*v + 4. Let w be f(6). Which is bigger: w or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.401 - -0.099. Let h be 0 - 0 - 2\/8. What is the smallest value in v, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 6 - 4)*(-10*o + 9*o - 11*o).\nAnswer: -180*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*((-4*(sqrt(176) + 1))**2 + sqrt(176) + 4 + sqrt(176) + (sqrt(176)*-2)**2).\nAnswer: 1360*sqrt(11) + 35400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 3445?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*b - 107*b = -24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - a = 1, 5*k = 2*a + 2*a - 5. Suppose -5 = w + 4*w. Let u be (2 + w)\/k + 1. Solve 4*h + 14 - 6 = u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 29, 47, 63?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfssfksksxfskslsxxx. What is prob of sequence xfs?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**5 + 2*a**3\/3 - 8. What is the third derivative of l(x) wrt x?\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3055248 and 30.\nAnswer: 15276240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27799 (base 12) to base 9\nAnswer: 83020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = k + 13. Let w be ((348\/32 + -11)*6)\/(1\/4). Let z = w + k. Calculate the remainder when 108 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168 - 173. Put 11, f, 9, 1, -3 in decreasing order.\nAnswer: 11, 9, 1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8b (base 14) to base 2\nAnswer: 1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(5\/(-10)*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/(-18) - 2\/12. Suppose 3*t = 5*r - 69, n*t = 5*r - 2*r - 41. Is 10*-6*(-2)\/r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 442*z**2 + 3 + 404*z**2 - 1 + z - z + 2*z**2 + (z - 1 + 1)*(0*z - 3*z + 4*z) + z**2 - z**2 + z**2.\nAnswer: -34*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*n + 5*p - 0, 0 = 4*n + 3*p - 23. Let y = -1 - -4. Suppose n*l - 6*l = -y. Are l and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*f + 9 - 9)*(12 + 11 - 5 - 1).\nAnswer: -612*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**5\/20 + 31*o**4\/24 + 7*o**3\/6 + 25*o**2. Let w(q) = -q**2 + 10*q + 2. Let k(c) = 7*w(c) - 2*y(c). Solve k(n) = 0 for n.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2742 + 2732 = -5*y, 0 = -2*y + 2*w + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -69, 11, 5, 0 in ascending order.\nAnswer: -69, -2, -1, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.054 from -23.\nAnswer: -23.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450*6 - (-12)\/288*0?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 + m + 22. Suppose -31 = -25*a + 10 + 9. Calculate the least common multiple of a and s(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14465.34 to the nearest 100.\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 1725.\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/45 - 1432\/(-60). What is the greatest common divisor of y and 1096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzmm. Give prob of picking 3 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 1 - 14560933\/100. Let j = -145605 - d. Let x = j + -112\/25. Calculate the common denominator of -91\/6 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 - -67. Let f = h - -22. Let m(i) = 6*i**3 - 2*i**2 - i - 5. Let w(x) = 1 + 1 + x**3 - 4 + 1. Give f*w(c) + m(c).\nAnswer: c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 384*b - 371*b - 130 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let p = -2 + 1. Let j(t) = -6*t. Let n(r) = p*j(r) - 8*o(r). Let x(c) = 3*c**2. Determine n(x(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2909.884 rounded to the nearest 10?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhhhvh. What is prob of sequence hhh?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/12577?\nAnswer: -3\/12577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 12*i**2 + 14*i - 1. Let o be r(-9). Calculate the common denominator of -7\/6 and 2\/(o\/(-117)) + (0 - -1).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 7*l**4\/6 - l**3\/6 - 17*l**2\/2 - 32*l. Let a(u) = -u**3 - 16*u**2 - 15*u - 6. Let z be a(-15). Is g(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 6:48 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2316483051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -146001\/4640 + 929\/29. What is the common denominator of -71\/70 and l?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**2 - 7*p + 1. Suppose -h - 12 = -c, 12 = 2*h + 2*h. Suppose -9*n = -c*n - 18. What is the units digit of b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/27)\/(147\/6678))\/((-18)\/(-63))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56948 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 65426060 to the nearest 1000000.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*l*m*n**3 + 16646714*l*m*n**2 - l*m*n - 1363749*l*n**3 - m*n**3 + m*n**2 wrt n?\nAnswer: -564*l*m - 8182494*l - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*k - 140*k + 6*k - 83*k - 102*k - 55*k.\nAnswer: -325*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**4\/12 - h**3\/3 + 32*h**2 - 5*h. Let u be k(0). What is the highest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77600*s - 25734*s - 25738*s - 26124*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 6*p - 4. Let n be s(-7). Let d be ((-3 - -1) + 5)*(-4)\/(-7 + 3). Solve v + v = -d*z, n*v = -9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.09 to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34365, -68763, -103161, -137559?\n\"Answer: -34398*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1149170069 and 758?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrkxrrkkkxr. What is prob of picking 2 x and 1 r?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 29011*h**2\/4 + 209492707*h\/4 - 13313435247\/4.\nAnswer: (h - 63)*(h + 14537)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 6*s - 6. Suppose 5 = c, 9*x + 5*c - 7 = 6*x. Determine p(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 9, -41, 2\/19, 5\/3?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooiioooiiiiiioiooo. Give prob of picking 2 o.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/22*18)\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5840695?\nAnswer: 5, 7, 19, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*v - 510 = -317*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/6 - -5)\/(4\/(-40)*55)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 4*o - 4. What is f(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 0*g**3 - 2*g**3 - 500*g - 154*g - 696*g**2 - 522*g + 698*g**2 as f + j*g**4 + u*g + d*g**2 + m*g**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 23*b = -27*b + 72*b - 25*b + 345, 0 = -7*g + 5*b - 515 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00217005 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 5. Suppose -4*x = -k - 18. Suppose -a = -x*a + 85. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1887.71 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-94)\/564)\/((-1)\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.46 + -52.04. Let q = -40.6 - h. Let g = -0.22 - q. Round g to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 187432852 to the power of 1\/3, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8283, -31819, -71063, -126015?\nAnswer: -196675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1962.6 - -1963. Which is the third biggest value? (a) -0.2 (b) -63 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 14 = 3*o, -5*o - 2*d = 2*d - 30. Factor 7*k**2 + 10*k**3 - 3*k**o + 0*k**2.\nAnswer: 2*k**2*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3140 + 72. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8415)\/10 + 2 + 20\/(-8). Let r = c + 1187. List the prime factors of r.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44821 - -21227.\nAnswer: -23594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73? (a) 5 (b) 1\/4 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34*167\/14195*(25\/(-24))\/(-5).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50475?\nAnswer: 3, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184*s**2 - s + 66?\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7094805 and 11805.\nAnswer: 7094805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4\/5 - 248*k**3\/5 + 4084*k**2\/5 - 1488*k + 720.\nAnswer: 4*(k - 30)**2*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -93*o**2 + 2. Let n(v) be the first derivative of v**2\/2 - 116. What is n(r(d))?\nAnswer: -93*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 205 (b) -1\/3 (c) 5 (d) -5 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 1189\/232)*-8. Let u(p) = -4*p**2 - 5*p + 6. Let b(n) = -n**2 - n + 1. Let t(o) = 5*b(o) - u(o). Let f(h) = 3*h**2 - 3. Give a*f(m) + 4*t(m).\nAnswer: -m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 2, -0.2, -1, -2, 85?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15743 - 15673. Solve w = 12*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, y: 1}. Give prob of picking 1 y and 2 o.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - 40. Let d be o(14). Find the third derivative of 14537*v**2 + 2*v**5 + 0*v**5 - 14547*v**2 - d*v**3 - v**5 - 2*v wrt v.\nAnswer: 60*v**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 117, 115, 113?\n\"Answer: -2*n + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1310*y**2 + 1789*y.\nAnswer: 2620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -3*c + 110, 140 = -29312*c + 29316*c + 2*o for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3106.9764ms?\nAnswer: 0.000863049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2)**(-1\/24) assuming z is positive.\nAnswer: z**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1123 + -736. Calculate the remainder when k is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7948176 months in decades?\nAnswer: 0.00662348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - m + m)*(-2805*m - 8391*m + 1477*m - 4775*m - 5471*m).\nAnswer: 39930*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times 508\nAnswer: 40.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 1\/3 (c) 0.1 (d) 0.145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, 2\/23, -1 in ascending order.\nAnswer: -5, -1, 2\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-11 + 0 + (4 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19035 = -640*x + 805 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**3\/7 + 340*d**2 + 1024*d + 4784\/7 = 0.\nAnswer: -2, -1, 598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3317668 to the power of 1\/2, to the nearest integer?\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 29. Let x = 21 + u. Let h = -1 - 0. Which is bigger: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310510 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2866 and 123.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -13*d + 11. Give b(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -11. Suppose g = p + p - 8. Suppose -p*c + 10 = c. Solve -2*f - f - 2*h = 17, 2*h = 2*f - c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*k - 5*z + 14, -4*z = -k - 1. Let g(c) = -c**3 - 31*c**2 - 28*c + 60. Let o be g(-30). Solve k*p - 15 = o, 5*p = -0*t - t + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 76244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01099526187 to five dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1, 150 in descending order.\nAnswer: 150, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let n(i) = 2*i**2 - 3*i - 4. Give -6*f(w) + n(w).\nAnswer: 2*w**2 - 9*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.207*178.399.\nAnswer: -36.928593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-15))\/((-9)\/570) - -2. Let n = p + -77. Let u(l) = 6*l**2. Give u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490789?\nAnswer: 1490789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqr when three letters picked without replacement from qrvvqsvqqqv?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8419098.\nAnswer: 2, 3, 61, 23003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/6 - (-1945)\/120*4. Suppose f - 3*c - g = 49, -2*c = 3*f - 386. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13359 and 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = a - 15 - 3, 5*b = -3*a + 34. Calculate the remainder when a is divided by ((-2 - -3) + 3)*6\/24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-1)\/(-9) - 3420\/(-81). Let n be (y\/10)\/(-7) - 2\/5. Which is greater: -3\/17 or n?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1311952746 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/23)\/(1\/2*3*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**3\/3 - 5*m**2\/2 + 3*m. Let l be q(-4). List the prime factors of l - 2 - 3\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950 at most 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6741 (base 14) to base 15\nAnswer: 547d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16476, 32043, 47610, 63177, 78744?\n\"Answer: 15567*s + 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (6 - (5 + (0 - -2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -21\/5 (b) -2\/275 (c) 1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 30*c**2 - 144*c + 152.\nAnswer: 2*(c - 2)**2*(c + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0 - 1\/12*h**4 - 1\/6*h**3 + 0*h - 2*h**2. Let j be m(3). Is -6 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 5*(-2 + 3). Let t(a) = -a**2 - 6*a + 8. List the prime factors of t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3)\/2)*26520\/(-4160).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(2\/21)*y**20*y\/((y\/((y**(-12)*y)\/y))\/y)*y assuming y is positive.\nAnswer: y**(206\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.64 - -34.64. Are 4 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966979 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + -12)\/((-2)\/6). Let c(i) = i**2 + i - 5. Let d(w) = 5*w. Let a be d(-1). Let f be c(a). What is the highest common divisor of f and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 7 = -2*l + 5*t, 14 = 3*l + 2*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -26.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 49*j - 47. Let m be k(50). Put m, 5, 1, -5, 9 in decreasing order.\nAnswer: 9, 5, m, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9215 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3820 + -3740. Let u(s) = 3*s**2 - s + 2. Let q(f) = -f + 1. Let i(a) = -2*q(a) + u(a). Let x be i(5). Is h != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 8*v**2 - 4*v - 13. Let x be k(7). Solve 2*w = -0*w - x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*a**2 + 271*a**2 - 531*a**2 + 122*a**3.\nAnswer: 122*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4608)\/(-5632)*(22\/(-6))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8859.95 hours in seconds?\nAnswer: 31895820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 547568 and 2899177.\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j - 4*p = 17, 0 = -4*j + 2*p + 96. Suppose -11*k**2 - j*k - 11*k**2 - 7*k + 20*k**2 - 128 = 0. What is k?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62889893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*(-5 + -2*(2 + (3*sqrt(684) + sqrt(684))**2)).\nAnswer: -262764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = 6*d. Suppose 81 = 3*x + 4*a, -d*x + 5*a = 10*a - 81. Is x at least as big as 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6082645 is divided by 1379.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -1\/2*u**2 - 3\/2*u**3 + 1 - 1\/2*u**4 + 3\/2*u = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1429 - -1436. Let u(t) = -t**2 - 3*t + 12. What is u(w)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2122112 (base 5) to base 11.\nAnswer: 24a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 5*d - 1\/30*d**4 + 1\/75*d**6 - 2\/15*d**3 + 1\/25*d**5 + 0*d**2 + 0. Factor r(i).\nAnswer: 2*i*(i - 1)*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/7 (b) -0.4 (c) 2\/5 (d) 1 (e) 25\/39 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -33*y**2 + 32*y - 19. Let u = -2 - -23. Let d be z(u). Round d to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*h - 153, 3*h - 45 = 2*h - 5*l. Let n(p) = 44*p**2 + 2*p + 1. Let k be n(-1). Let x = k - 32. Calculate the remainder when h is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1687814652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118*10.5802.\nAnswer: 1248.4636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.275 and -227?\nAnswer: 62.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 26) + 15 + -66 + 0 + 1.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 447 and 31809265.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -87*q**3 + 256*q**3 - 88*q**3 - 82*q**3. Give a(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/(-21) + (-656)\/(-126) and 23\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by 5\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**2. Let p(m) = 2*m. Determine s(p(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6331 and 12636?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 7 = 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2185834nm in meters?\nAnswer: 0.0000000002185834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 159 + -151. Suppose -7*g + 9*g = 3*z + 8, 5*z - q = -2*g. Suppose 2*v - 3*c = 4*v - 19, 4*v + 4*c = 28. Put v, z, 1 in descending order.\nAnswer: v, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16870, 33759, 50676, 67627, 84618, 101655?\n\"Answer: s**3 + 8*s**2 + 16858*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27374, -27401, -27428, -27455?\n\"Answer: -27*w - 27347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-8 + 430880\/53864) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 952 and 2.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209032?\nAnswer: 2, 17, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3 = 3*i + 34, -2*k = -5*i - 5. Solve -6*h - 2*o = -2*h + k, -2*h + 25 = -5*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201293 by 2.\nAnswer: -201293\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -936 - -940. Suppose 2*b - 6 = b. Let s be (4\/b - -1)*3. Solve s*a - 30 = 5*k, -v*k + 0*a + 12 = 5*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 1)*(2*u + 3 - 3)*(u - 76 + 76 - 17*u**2) as c*u**3 + z + y*u + l*u**2 and give c.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r - 9. Let n be ((-6)\/3)\/(-3 - -1). Let m(f) = -f**2 + n + 1 + 0 + f. What is m(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.86 - 6.96. What is the closest to j in -1\/5, 0.14, -3\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 10 + (16 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/831 and 2\/6207.\nAnswer: 1719339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 476311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189 - -238. Is 49 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46446954247 + -46446958731.00000016. Let x = b - -4484.1. Let h = x + -0.1. What is h rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.682091 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - -26. Let u = j - 48. Suppose -174 = -u*g + 398. What are the prime factors of g?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 1\/2*a**3 + 47\/120*a**6 + 0*a**4 - 32*a**2 + 2 + 0*a - 7\/30*a**5. What is the third derivative of l(i) wrt i?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + 4 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*q - 12 = 0, -3*s + 0*q + 22 = -2*q. Let z be (4 + 2)*3\/s. Suppose z = t - 3*n - 5, n = t - 4. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 7*q + 16. Suppose 564 = c + 3*c + q*k, -k - 278 = -2*c. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 1. Let z(b) = b - 4. Let m be z(6). Let w(r) = 3*r - 1. Let a(i) = m*v(i) - w(i). List the prime factors of a(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/13)*a**(-2\/3) assuming a is positive.\nAnswer: a**(-20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 4 (b) -1349 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2057\/(-66) + 54\/9. Let r = -293\/12 - c. Suppose 0 - r*n**4 + 0*n + 9\/4*n**2 - 3\/2*n**3 = 0. What is n?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d - 17 - 5 - 2*d - 6*d. Determine z(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3772 + -3768. Let w(z) = 3*z**2 - 3*z. Let n(u) = -u**2 + u. What is s*w(b) + 11*n(b)?\nAnswer: b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - z**2 + 3*z + 9. Let h be w(-3). Let t = -16 + h. What is the least common multiple of (-3)\/(-2)*40\/3 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53958997 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (35\/(-14))\/(2\/(-4)). Suppose 2*u = s*o - 32 - 38, u = 3*o - 41. Is (18\/o)\/((-2)\/(-36)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*p**3*x**2 - 2*p**3 + 7*p*x + 2*x**2 wrt x?\nAnswer: -164*p**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/37, 2\/9, -0.2?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 2*h + 2. Let q(m) = -m - 1. Suppose 4 = 4*s - 0*s + i, -3*s = 4*i - 3. Give s*j(a) + 2*q(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*j - 2*j**3 - 128*j + 0*j**3 + 24*j to m*j + v + y*j**3 + p*j**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 97 + 40?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -2\/7, -2, 0.4, 22, -380?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-10) + 14\/35. Find the first derivative of 4*v + 0*v - 4*v + s + v**2 wrt v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0762 - -62677?\nAnswer: 62677.0762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28281060 and 4713510.\nAnswer: 28281060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7777 divided by -1.\nAnswer: 7777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2758*c + 27885 = 7751 - 12962. What is the remainder when (-2)\/8 + 106\/8 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**3 + 11*c**2 - 14*c - 44. What are the prime factors of d(10)?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40505763?\nAnswer: 3, 13501921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (0 - -1) - -2. Let w = 1444 - 26117\/18. Calculate the common denominator of k\/(-18 - 2\/1) and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3 + 0 + 24 - j - 3. Suppose 0*h - 28 = -2*h. Let x be n(h). Calculate the greatest common factor of 90 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 7*v**2 + 2*v**2 + 6*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 3592716?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -10. Let c(u) = -12 - 11 - 13*u**2 + u**3 + a*u + 10. Is c(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532*l**2 - 135*l**2 + 164*l**2 + 201*l**2 + 201*l**2.\nAnswer: 963*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 23. Determine y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(143)*3)\/sqrt(11) + -3.\nAnswer: -6 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385, 742, 1069, 1366?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4733, 1, -18.5?\nAnswer: -18.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28750215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 8454514\nAnswer: 3\/8454514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:44 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032145 rounded to five dps?\nAnswer: -0.00321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -707 = -19*f + 1003. Calculate the remainder when f is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 410*m**2 - 6091 + 6091 + 61*m**2 as o*m**2 + c + f*m and give o.\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*i = -5*q + 83, -i = -4*q + 56. What is the highest common factor of 195 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5234431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-297)*-3*-1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 6*q + 8. Give p(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/25)\/(-1) + (-205744)\/2154300?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 10. Let y be c(5). Let f be 1\/(1 + 0 + y). Are f and 2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212 and 259923024?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = 5*b + 8, 2*m = -2*b - 28. Let n be 135\/18*m\/6. Let r = n + 22. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -22) + 29 + (0 - -4) + 8\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 19 - (-3 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13499*m**3*r - 245*m**3 + 20*m**2*r + 3*m*r - 13430*m - 1750 wrt m.\nAnswer: -80994*m*r - 1470*m + 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:43 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g = p - 2, 3*p = -5*g + 6. Let l(h) = h - 9*h - p*h - 10. Let k(q) = 7*q + 7. Determine -7*k(c) - 5*l(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - m**2 - 5*m)*(9 - 3*m - 9) - 1 + 1 - 4*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2129, 2133, 2159, 2219, 2325?\nAnswer: 2489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.0469.\nAnswer: -0.00938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 5*d - 3*p, d = 3*d - 3*p - 116. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-24)\/(-36)*(-4)\/(-56)*-1. Put -7\/8, u, -21.2, 0, 0.2 in decreasing order.\nAnswer: 0.2, u, 0, -7\/8, -21.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1329 = 4*k + 2709, k - 6071 = -3*y. Let t = y - 102. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 0. Let s(j) be the third derivative of j**6\/30 - j**4\/24 + j**3\/3 - 65*j**2. Let n be s(1). Sort -2, 4, n, i in descending order.\nAnswer: n, 4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/(-14)*37065\/(-63540).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 26*x + 70. Let w = 17 - -6. Let v be b(w). Solve -2*d - 17 = 3*f, -4*f = f - 4*d - v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12942396 to 4 decimal places.\nAnswer: 0.1294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -953 - f + 953.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 711 in -0.3, 0, 77.052?\nAnswer: 77.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33.8 - 38.8. What is the nearest to 0 in d, 0.4, -6\/19, -1?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42126)\/4284 + (26\/(-12) - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 1. Let u(y) = 2*y + 3. Let c = -57 + 83. Let r = -27 + c. Let l(f) = f + 1. What is j*l(h) + r*u(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/12)\/(8\/(-7088)). Let u = a - -147. What is the nearest to -1\/5 in -3, 1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -576 - -578. Solve 4*u + 14 = a*y, -y - 2*y - 11 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -283878*q**4 - q**3 - 2*q + 29788031 wrt q?\nAnswer: -1135512*q**3 - 3*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, -89, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4\/7, -1, 2, 7\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/259, 0.0057, -2?\nAnswer: 3\/259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Suppose -4*b = z - 2*b - 2, 2*z - g = -b. Suppose 3*m - 73 = -5*q, -6*q + q + 42 = z*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -0.12, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -845?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 700*t**2*w**3 + 205462*t**2*w*x + t**2*w + 16*t**2*x - 2911*t*w**2*x - w**3*x wrt w?\nAnswer: 4200*t**2*w - 5822*t*x - 6*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6861?\nAnswer: 3, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2130\/60 + 1\/2. Suppose -7*g + f = 29. What is the nearest to g in 7\/6, -0.1, 0.3?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 10*x - o, -13414 = -5*x + 7*o - 13404 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 + 2*l**2 - 1 - l**2 + 4*l**3. Suppose 5*d + 12 = 2*h + 2, 4*h + 3*d = -6. Calculate y(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2667 by -889.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.261?\nAnswer: 0.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -1 - 8) + 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from aaaaqfaaaaacaacq.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 7, 4, -3, -14?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142)\/71*-41 + -21?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 5, p: 3, v: 2, j: 1}. What is prob of sequence vp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -17, -32, -63, -116, -197, -312?\n\"Answer: -t**3 + t**2 - t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3b7 (base 16) to base 3\nAnswer: 1022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -19822919*b**2 + 70742*b - 389081. Let n(d) = -5044*d**2 + 18*d - 99. What is 9*a(v) - 35371*n(v)?\nAnswer: 5053*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -158*f - 1100. Calculate l(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7899 - -7899. Solve v = 28*y + 18 + 66 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 6*v - 25)*(-2*v**3 - 10 + 10 - v**4).\nAnswer: 6*v**5 + 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmv when three letters picked without replacement from mvwpd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5891 take away 230.04?\nAnswer: -229.4509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 336?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 0.02, -0.5, -2\/3, -84\/17?\nAnswer: -84\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/168354936 and 151\/126266202.\nAnswer: 505064808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -680*r + 731. List the prime factors of d(-7).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -191?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/3042408 and 113\/3803010.\nAnswer: 15212040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58.5 - -59. Put -0.2, -1\/3, i, 1 in descending order.\nAnswer: 1, i, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4767 * 60.\nAnswer: 286020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521456, 521417, 521380, 521345, 521312?\nAnswer: 521281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**10)**(4\/11)*(y**(-1\/12))**(-18\/11))**(-3\/2) assuming y is positive.\nAnswer: y**(-249\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -13*i**2 + 1135*i + 14. Calculate the remainder when x(87) is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7717.315ml?\nAnswer: 7.717315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*t = 4*t + 48, -5*t + 6 = 2*q. Calculate the remainder when (-2)\/(-1) + -3 + q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1020569298 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) -0.03303115 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 141\/17?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {q: 1, j: 2, k: 1, f: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*d**3*v**5 - d**3 + 6690*d*v + d + 645*v**6 + 2*v**2 wrt v.\nAnswer: 1140*d**3*v**2 + 77400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 398 + -397. Let g be (13 + -22 - -11) + (v - 0). Let x = -10 + 15. Solve 0 = -2*i + x*i + g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/3 - 234*i. Let m(g) be the second derivative of 0*g**2 + 0 + 3*g + 1\/12*g**4 + 0*g**3. Calculate m(u(y)).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 4 - 4 = -92*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 1. Let s be 3\/(-6)*(1 - -1). Let g(h) = -4*h. Determine s*g(a) + b(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2817 and 12719381?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/42 + 285\/7. Suppose 3*k = -3*h - 2*k + 50, 3*h - d = 4*k. What is the remainder when h is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6409038 and 3198?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 1. Let z(y) = -3*y - 6. Give -5*b(l) - z(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 38*k**2 + 108*k - 2. Let p be c(3). Let l(r) = 67*r - 5. Let f(g) = 100*g - 7. Determine p*l(o) - 5*f(o).\nAnswer: -31*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1598\/143 - 128\/11. Sort m, 5, -0.1, -2\/3 in decreasing order.\nAnswer: 5, -0.1, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*n = -n + 27, -n - 19 = -5*w. Suppose 11 = w*q - 1. Suppose q = 3*y - 2*y. Calculate the smallest common multiple of 6 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 992, 7076, 23566, 55658, 108548, 187432?\n\"Answer: 866*n**3 + 7*n**2 + n + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/13 + 22370*g**2\/13 + 4184536*g\/13 - 8458536\/13 = 0. What is g?\nAnswer: -186, 2, 11369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 22*t**2 - 22*t + 22. Let m(l) = l**2 + l - 1. Calculate -2*i(y) - 44*m(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 36*p. Let k(y) = 64197*y**2. Calculate z(k(r)).\nAnswer: 2311092*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7446*d + 7528*d = 14838*d + 4216 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*c - 126 = t, 10117*t + 42 = 10122*t - c for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (0 - 1) - (193 + -292 + 100)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 m when four letters picked without replacement from {z: 8, j: 5, m: 5}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1133 divided by -2.\nAnswer: 1133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211273, 422568, 633863?\nAnswer: 845158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9924613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxxmmm. What is prob of sequence xxxk?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 16049?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5621, -5736, -5851, -5966?\n\"Answer: -115*r - 5506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(28)\/sqrt(4) + -3*(sqrt(7) + -3 + sqrt(7)))**2*1.\nAnswer: -40*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 - c**3 + c + 0*c**2 + 4*c**2 + 38*c + 2*c**2. Let j be z(13). Solve 2*h - 2*u = j, -3*h + 3 = -4*u + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.04 and 0.542.\nAnswer: 1.10568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 r when three letters picked without replacement from xxjxjxrj.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 + 93*h + 1257. Is 149 a factor of g(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - -0.1. Let o = -1 - u. Let l be -3*1\/18*(-12)\/9. Which is the closest to o? (a) 1\/3 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/4 - 4\/(-4). Solve 0 = -0*i + 2*i + 3*j + 25, -n*j = 2*i + 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -17, 0, 2\/19, -0.2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(2 - (2 - (-304)\/12)). Which is greater: -75 or u?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t = 40*t - 268*t - 7855735 + 7858305 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -85.1794 and -2.\nAnswer: 170.3588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) + -1*sqrt(95)*-1))\/(sqrt(35)\/(sqrt(28)\/sqrt(4))) - (sqrt(399)\/sqrt(63))\/(5*sqrt(3)*-2).\nAnswer: -29*sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.8 + -5.6. Which is the smallest value? (a) 2 (b) q (c) -2\/15 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(343) - (1 + (sqrt(343)*2 - sqrt(343)))) + (sqrt(28) - sqrt(7))*3*6)**2.\nAnswer: -36*sqrt(7) + 2265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 96?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4\/4 + 19*u**3\/3 - 8*u**2 + 12*u + 15. What are the prime factors of b(18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -60\/151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) 0.2 (b) 2 (c) 1138 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 r when four letters picked without replacement from {u: 6, k: 6, n: 1, g: 1, r: 1, x: 3}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 3*q**2 - 4*q**2 - 3. Let n(u) = -u**2 - 1. Let y(z) = -z**3 + 2*z**2 + 4*z - 2. Let g be y(3). Suppose -i = 1 + g. What is i*d(l) + 6*n(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-107)\/3 + 4\/(-12). Calculate the common denominator of ((-3)\/10)\/(o\/210) and 3\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244244180 + 122122087 - 44*y**2 + 122122093.\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -374, -683, -992, -1301, -1610?\n\"Answer: -309*h - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/208*72*2?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -32. Let u = -23 + g. Which is the second smallest value? (a) u (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 1\/12*b**4 - 1\/42*b**7 + 0*b**6 + 0 + 0*b**2 + 0*b**3 + 0*b**5 + 5*b. Find the third derivative of r(y) wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5 - 3 + 1 + s. Let w be k(-8). Let l = 17\/5 - 3. Which is the nearest to -1? (a) w (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27358? (a) 0.1 (b) -22\/17 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-395)\/(-22) - 12065\/(-4826) - 20\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + 0 + -2*(sqrt(1800) + 0) + 2*-1*sqrt(1800))**2 + -1.\nAnswer: -1200*sqrt(2) + 28826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 0*p**2 - 28*p + 3*p + 0*p to v + c*p**2 + j*p and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 84557585 and -1125.\nAnswer: 84556460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105841, 3, 60 in descending order.\nAnswer: 105841, 60, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9072 is divided by 3019.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 52.3 and -16282930004.\nAnswer: -16282929951.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*q + 4, -6*q + 6 = -3*q. Suppose -3*a + n*o = -3274, 7*o - 3*o = 4. List the prime factors of a.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-4)*(-40)\/(-30). Solve m + 5*d + 9 = 28, -3*m = 2*d - w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7391, 29562, 66511, 118238, 184743?\n\"Answer: 7389*v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*(6\/(-4) - -2). Let j(b) = b**2 + 4*b - 1. Let d be j(x). Suppose -k = -2*f + 51, 0*f - 105 = -d*f - k. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34363897 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 5*k**3\/3 + 35*k**2\/2 + 24*k. Let y be r(4). Is 75 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33ba + 37?\nAnswer: -3383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-104)\/(-3) - 0)\/(14 + (-59015)\/4218)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*f**2 + 11*f**2 + 24*f + 6*f.\nAnswer: 58*f**2 + 30*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 + 3*j**4 - 3*j**4)*(35 + 53 + 11 - 22).\nAnswer: -154*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4.8, 4 in descending order.\nAnswer: 5, 4.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5035456007.\nAnswer: 5035456007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9202*n**3*y + 5*n**2*y - 2*n*y + 19*n + 4*y wrt n.\nAnswer: 55212*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -239, -681, -1337, -2207?\nAnswer: -3291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 2. Let g(d) = 2*d**5 + 5*d**3 - 3*d - 5. Let k(j) = j**5 + 4*j**3 - 3*j - 4. Let u(y) = i*k(y) - 4*g(y). Find the second derivative of u(n) wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 80\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37481 and 829647?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -8. Let f(w) be the second derivative of -w**4\/12 + w**3 - 5*w**2\/2 + 8*w. What is f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-33)\/(o*o*o**(-7)*o*o*o*o**(2\/7)) assuming o is positive.\nAnswer: o**(243\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h. Let c(v) = -5*v. Let p(u) = 6*c(u) - 7*x(u). Let d(m) = 2*m**2. Determine d(p(k)).\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 805\/70 + (-2)\/(-4). Solve -2*p = p + a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2\/3 - 129365680*w\/3 = 0.\nAnswer: -64682840, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -4*d + 19, -8220*d + 8215*d = -i - 31 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*((1 + -2*sqrt(3))*-3 + -3).\nAnswer: -36*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12523216561 + -0.4.\nAnswer: 12523216560.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 + 11*n**2 - 17*n + 11. Let o(s) = -s**3 + 4*s**2 - 6*s + 4. Let t be -22*((-1)\/(-2) + -1). Determine t*o(d) - 4*u(d).\nAnswer: -3*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -330, -544, -852, -1284?\nAnswer: -1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 6902 in ascending order.\nAnswer: -3, 3, 6902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 - 36*b + 18. Let u(o) = o**2 + 8*o - 4. Let c(s) = -2*d(s) - 9*u(s). Let v(i) = 195*i**2. Give c(v(x)).\nAnswer: -38025*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1 = -4*y + 3, -l = 2*y - 14. Let q = -11 - -2. Let a = -7 - q. Solve -l*i - 9 = f, -f - a = i + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**6\/330 + 7*o**5\/220 + 3*o**4\/22 + 10*o**3\/33 + 4*o**2\/11 + 151*o. Factor v(j).\nAnswer: (j + 1)*(j + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -450 (base 6) to base 9\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 12. Let f = -2 + 4. Calculate the remainder when 4 is divided by (-1 - 5)*f\/r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11387 and 1?\nAnswer: 11387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (2 - (0 + 1)). Let p = -132 - -136. Solve -o*u = -p*u - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (182634\/152195)\/(18\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 30, -2, 7, 8, -1 in decreasing order.\nAnswer: 30, 8, 7, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-177)\/118 + (-58)\/(-28).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukckhekmmmccckk. Give prob of sequence cmh.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 187 = -133. Let x = -34 - t. Suppose 12*z - 9*z = 45. What is the greatest common factor of z and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002121222021 - -11?\nAnswer: -1002121222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2361 - 4092 = 206*s + 17031 for s.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g. Let q(m) = -58*m**2. Determine d(q(i)).\nAnswer: -116*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1791*u**2. Let t(j) = -896*j**2. Calculate 6*h(n) - 14*t(n).\nAnswer: 1798*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 702669240205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56484 divided by -18828.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*w + 456*w - 296*w = 45056 for w.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - v + 4. Let j be y(-3). Let f be j - (-2 + (1 - 3)). Suppose f*k - 5 - 5 = 0. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/7*(0 + -1). Let k = 2.42 - -104.58. Let u = k + -107.1. Which is smaller: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 1. Let k be t(2). Suppose -k*p = 2*i + 16, -5*p = -p - 2*i + 12. Let n(d) = -6*d - 8. What is the tens digit of n(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 35 = -z. Suppose -4*o + 16 + 60 = 0. Calculate the remainder when o is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/30)\/((-10)\/(-100)). Let m be (-3)\/24*6*-1. What is the smallest value in u, 1\/6, m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - b - 1369 = -1355, -2*f - 2 = 5*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q + 109*q = 17280. Calculate the greatest common divisor of q and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11630 from 606.\nAnswer: 12236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f. Let j be (-1 - -6 - 14\/3)*-18. Let b(k) = -1. Let t(s) = 10*s + 6. Let z(x) = j*b(x) - t(x). Give m(z(v)).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*q - 1. Let i be 21\/(-84) - q\/(-8). Which is the smallest value? (a) i (b) -0.9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.7270823 rounded to three dps?\nAnswer: 68.727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(-3770)*-52*25\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152 + 165. Let u(b) = -b**2 + 16*b - 39. Let i be u(q). Solve -4*n + 5*x + 11 = 0, i = -n - 3*n - 3*x - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5122*j**2*t - 238398301*j**2 - 13093*j*t with respect to t.\nAnswer: 5122*j**2 - 13093*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365738*v**3 + 167972*v**3 + 197782*v**3.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 - 0.05. Let o = z - 0.1585. Round o to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/(-84)*((-25)\/(250\/(-90)) + 9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1656)\/3*(-586)\/4688?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mggw when four letters picked without replacement from {g: 3, w: 2, m: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -37. Let a = q - 34.4. Round a to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 2, -3, 5 in ascending order.\nAnswer: -3, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -81717 greater than or equal to -81717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 - 8*x**3 - 5*x**2 + 84*x = 0. What is x?\nAnswer: -3, 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/32120 and -109\/108822560.\nAnswer: 108822560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 984?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -24. Let d(u) be the third derivative of u**5\/15 + u**4\/12 - u**3\/6 - 2*u**2. What are the prime factors of d(i)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - f + 1. Let u(c) = 2*c**3 - 5*c**2 - 5*c + 5. Let h(y) = -5*r(y) + u(y). Suppose h(n) = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 1844363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwvwcwccwc. Give prob of picking 2 c and 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -45 + (8 + 16 - -9)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/5 + 422012*u**2\/5 + 2532126*u\/5 + 3798216\/5 = 0.\nAnswer: -3, 211012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1110*d**3 + 16*d**2 - 8*d + 2. Let f be r(7). What is f rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/s*s*s)\/s**4*(((s*s**1*s)\/s)\/s)**30 assuming s is positive.\nAnswer: s**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104531013 (base 6) in base 15?\nAnswer: 27aa73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hoppjopjphjojpphppo. What is prob of picking 1 h, 1 j, and 2 o?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 17*b**3 - 103*b**2 + 8*b - 10. Calculate the least common multiple of 6771 and z(6).\nAnswer: 13542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-209 - (-21 - -10) - -20)\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 1, p: 2, k: 1, l: 4}. Give prob of sequence llk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 266833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8) + 20 + -21)\/(450\/120).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8131717.6077 + -2284\nAnswer: -8134001.6077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3288, 3290, 3292, 3294, 3296, 3298?\n\"Answer: 2*w + 3286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, p: 3}. Give prob of picking 1 p and 3 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3936 + -23705\/6. Suppose 2*y = -2*a - 16730, 4*a = -0*a - y - 33448. Let u = a + 83687\/10. What is the common denominator of u and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 374, -0.2, 8508 in increasing order.\nAnswer: -0.2, 374, 8508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**6\/180 + 7*h**3\/6 - 7*h**2. Let g(p) be the first derivative of k(p). Let z(n) = 5*n. What is g(z(v))?\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9 - 9 + 3*c**3 - 49721402*c + 49721401*c. Let f(v) = -v**3 - 6*v**2 + v. Let n(s) = -s**2. Let w(q) = -f(q) + 6*n(q). Determine -2*a(b) + 5*w(b).\nAnswer: -b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 11 = -5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 - 19*s**3 + 11*s**3 + 15*s**3 wrt s?\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -196, -269, -394, -571?\n\"Answer: -26*w**2 + 5*w - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0940438 months to centuries.\nAnswer: 0.0017450365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 28, -42, 4 in descending order.\nAnswer: 28, 26, 4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(1*1\/8). Suppose -2*r + 3*r + 70 = 5*g, -4*g - 5*r + 85 = 0. Suppose -g - 1 = -2*l. What is the highest common factor of l and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.064175, 1\/4, -3, -0.4 in descending order.\nAnswer: 1\/4, 0.064175, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 95*s**2 + 2241*s - 204. Determine m(-36).\nAnswer: -4416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i**2*x**2 - 1402*i**2*x*z**2 - 50*i**2 + 13*i*x**2*z**2 + 3*i*x**2 - 17*i*z**2 - 62 wrt i.\nAnswer: 12*x**2 - 2804*x*z**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-108)\/32 + 5 + -2. Let n = 0.017 - 0.317. What is the second smallest value in n, d, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - 19. Let x = a - -58. Solve x = 4*u - 2 + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -811 - 811 + 2438 - 816 + 916*d.\nAnswer: 916*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*n + 5*r - 29, 3*n - 5*r = -14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + (1 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 - -1.1. Let h = -4 + 5. Let s = h - 2. What is the nearest to -2 in x, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9408 - 1) + -4 - -4. Let c = 112811\/12 - u. Find the common denominator of -70\/33 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -1.15, 0.15, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w + 25. Let d be n(5). Solve 0 = -4*u + 4*p + 16, d = 3*u + p + 2*p + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7006*y + 7020*y - 378 = 0 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 4*k. Let s(b) = 386896*b. What is g(s(c))?\nAnswer: 149688514816*c**2 - 1547584*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 1527\/107?\nAnswer: 1527\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121834 is divided by 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1755*r**2*w**2 - 3*r**2 - w**2 - 29*w + 52 wrt r?\nAnswer: -3510*r*w**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43506, 87011, 130516, 174021, 217526?\nAnswer: 261031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*y + 2*j - 244, 5*y + 5*j = 620. Calculate the highest common divisor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*r + 50*r. Solve r = 6*f - 7*f + i + 3, i - 6 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 - (-220)\/14. Suppose 8 = 2*u - h. Solve -2*m + 3*m - 2*x + 4 = 0, 4*m - 4*x = -u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -256823\/5 + 51509. Factor 76\/5*n + 2\/5*n**2 + j.\nAnswer: 2*(n + 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqr when three letters picked without replacement from {o: 2, u: 6, r: 1, i: 5, q: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77792 and 75140?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199178184*f**4 - 238374173*f wrt f.\nAnswer: -2390138208*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869*h - 62815 = 2948*h - 255*h + 90351 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.61 - -3.81. Let i be (-1 + 3)*(-3)\/(-18). Which is the closest to -1\/2? (a) u (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 4*g**7\/105 + 4*g**3\/3 + g**2\/2 - 3. Let f(z) be the second derivative of r(z). Differentiate f(s) with respect to s.\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illxg. Give prob of sequence gix.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**4 + 19*v**3 - 8*v**2 - 31*v - 1. Let d(n) = -n**2 + n + 2*n**3 + 9*n**3 + 2*n**3 + 1 - 14*n**3. Let m(h) = -d(h) - w(h). Factor m(q).\nAnswer: 3*q*(q - 5)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775147 is divided by 387352.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 - 3*w + 13. Let p(a) = -4*a**3 - 7*a + 25. Calculate -5*n(i) + 2*p(i).\nAnswer: 2*i**3 + i - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*u + 504*u + 3 + 887*u - 1.\nAnswer: 1051*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 0 - 5 - 3*n - 2*n - 1. Suppose -2*j + 25 = 3*j. Let w(f) = -4*f - 5. Let p(q) = j*a(q) - 6*w(q). Let v(u) = -3*u. Determine v(p(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-211)\/633)\/(2\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16877, 67279, 151203, 268649, 419617, 604107?\n\"Answer: 16761*s**2 + 119*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 10*m + 17. Determine a(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*412\/6. Let n = 204 + j. Suppose -3*i + u = -i - 64, -3*i + 4*u + n = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4982 - -4986. Suppose -2*m - 1 = g - 2, -2*g + 5*m = -2. Which is the closest to g? (a) s (b) 2\/5 (c) 3 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23509?\nAnswer: 23509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*c + 4*m, c - 2*m = -m. Let s = 42 - 26. Suppose -s - c = -3*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n - 2*n**4 - 2 + 2002*n**2 - 2001*n**2 + 5*n**3 - 2*n**3 to the form m*n**4 + u*n + h*n**2 + x + w*n**3 and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = 2*u + 5*u - 73 + 53, -3*p + 53 = -4*u - 17 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 20. What is l(16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4539 = 10*r - 1511. Calculate the remainder when r is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -38. Let y(o) = -o**3 + 13*o**2 + o - 8. What is the lowest common multiple of y(r) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*h - 43 = -18, -70 = -5*s + 4*h. Does 3 divide (s\/15)\/(2\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 56. Let p = d + -40. Let x be 1*(1 + p)\/2. Let r(l) = 2*l + 9. Determine r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601760 a multiple of 1256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**3\/s)**(-15\/8)\/(s**(-4)*s\/((s*(s*s*((s\/(s\/s**(-1\/6)))\/s)\/s*s)\/s)\/s)) assuming s is positive.\nAnswer: s**(-67\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -381 and -380 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22333 + -10331431?\nAnswer: -10304043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130580 by 20.\nAnswer: -6529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(704) + 1 + sqrt(704) + 0 - -1*(sqrt(704) + (sqrt(704) + -2 + 4 - sqrt(704))))**2*5*-5.\nAnswer: -158625 - 3600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -230*k**2 - 20395*k + 6675 = 0. Calculate k.\nAnswer: -89, 15\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 338, 336, 334, 332?\n\"Answer: -2*y + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*i - 654 = 33*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/4 - 4*o**3\/3 - 5*o**2\/2 + 6*o - 17826. Let g = -9 + 8. Let x be 1 - 1\/g*3. What is z(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*z - 4*z - 100 = 0, 4*y - 218 = -2*z. Suppose -3*u = -2*u. Suppose w - 7 - 11 = u. What is the remainder when y is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhnyyh. What is prob of sequence nh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.24453 + 3.212. Let n = -0.35 - -0.317. Let t = n - i. What is t rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2976.781 and 157523.\nAnswer: 160499.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7889294 by -563521.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -8110000 to the nearest 100000.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 291346 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.1. Let l be (3 - -1) + 17 + -10. Let i = 56\/5 - l. Sort g, i, 2\/3 in increasing order.\nAnswer: g, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-107)\/((-1086050)\/348))\/((-42)\/10 - (-20 + 16))?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + 13*y - 2. Let k be 18\/(-10)*65\/(-39). Is r(k) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2))**(-1\/39)\/(h**(-1\/5)\/(h\/h**(-6))))**(-37))**(-16\/5) assuming h is positive.\nAnswer: h**(837088\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 750*f**2 - 29*f + 457. Is w(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 695.9 - 664. Let n = g - 32. Is -1.1 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 1:01 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eej when three letters picked without replacement from {j: 4, q: 3, e: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15285 > 14616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 6*m**2 - 4*m - 32. Let k be x(-6). Let t be (6\/30)\/(0 - 4\/k). Factor -t*w**2 - 6\/5*w + 8\/5.\nAnswer: -2*(w - 1)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 1 (b) -2\/5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t + 1. Let a be b(1). Suppose a*p - 7 = 5. Is 3 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 4*y**2 + 4*y**2)*(y - 5*y + 3*y) + (0 - 3*y + 0)*(0*y + 0*y - 5*y**2) + 4*y**3 - 3*y**3 + y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*y = 56 - 8, -3*t - 3*y + 12 = 0. Let b be t*2 - (1 + -5 + 1). Differentiate 2*d - 4*d + 2*d - b*d**3 - 7 wrt d.\nAnswer: -57*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/5, -0.1, 3\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 2935*q + 34500.\nAnswer: 5*(q + 12)*(q + 575)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -l + 3, -4*l = -10*k + 5*k + 22. Suppose 0 = 7*c + 4*c. Factor 0*a + 0*a**3 + 0*a**k - 1\/2*a**4 + c.\nAnswer: -a**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -8 (c) -0.5 (d) 4\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 0*l - 16\/105*l**7 + 0*l**4 + 11 + 7\/30*l**6 + 0*l**5 + 1\/84*l**8 - 6*l**2 + 0*l**3. Suppose j(k) = 0. Calculate k.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -155. Let p = -77 - y. Let k = 37 - 2. Calculate the greatest common divisor of k and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Suppose 0 = 3*k - 3*b - 24, -l*k + 0*b = b - 22. What is the third derivative of d**4 + k*d**3 + 6*d**2 - 3*d**4 - 5*d**3 wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*h + 27, 0 = -0*r - 3*r - 3*h - 9 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13880009*s**4 - s**3 - 5*s**2 - 32577373*s - 5 wrt s.\nAnswer: 166560108*s**2 - 6*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*y - 35 = 7*y, i - 13 = 2*y. Suppose 2 = -i*k + 26. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (360\/42)\/(3\/21) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2. Let z(a) = -2*a**3 + 6*a**2 - 2*a + 1. Give -6*x(v) + z(v).\nAnswer: -2*v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 + -0.59. Suppose 2*f + 516 = 2*j, 0*j - 3*f + 270 = j. Let x = j - 259. Which is the closest to -2\/9? (a) 1\/7 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, d: 6}. Give prob of picking 2 r.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 - 8*v**3 - 11*v**3)*(-2*v - 4 + 1 + 2 + (5 - 2 - 2)*(-42*v - 35*v + 51*v) + 2*v + 3*v - 3*v).\nAnswer: 364*v**4 + 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(6)*-1 + sqrt(2430)\/sqrt(10) + (sqrt(36)\/(sqrt(24)\/sqrt(4)))\/(-5*sqrt(8)\/sqrt(4)))**2.\nAnswer: 4563\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/12880 and 37\/654948?\nAnswer: 13098960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -375 - -851. Suppose -v = 5*p - 1391. Suppose q + 63 = p. Round q to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/42849798 and 97\/6.\nAnswer: 42849798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)\/((((r*r**1)\/r)\/r*r)\/r*r))\/(r**(-1\/14)*r*r*r**(5\/7)) assuming r is positive.\nAnswer: r**(-73\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.372*-1\nAnswer: -2.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m - 2. Let o be t(-5). Suppose -823 + 3811 = o*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvvvvvb. What is prob of picking 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.05193 times 2\nAnswer: 0.10386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 16013*l - 32035. Give f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4 - 0. Let h be 6\/(((-12)\/(-64))\/1). Suppose -z*n = 2*n - h. Solve 0 = 5*k + 12 + n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**26\/p*p)**32 assuming p is positive.\nAnswer: p**832","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490552285?\nAnswer: 5, 98110457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 9:42 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 3*s - 2*h, 0 = -6*h + h. Let f be (s\/(-2))\/(3\/150). Let l(o) = -f - 5*o + 675. Let g(d) = d**2. Give l(g(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.061 - 3.839. Let m = 4 + t. Which is the third smallest value? (a) -3 (b) 2\/13 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and (8\/(-7))\/((-1)\/14 + 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-2)\/4*2. Let g = 11 + -12. Which is bigger: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380080?\nAnswer: 2, 5, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (10847\/(-132) - 2). Let m = 37\/44 + l. Let t = 84 + m. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**5\/20 - j**4\/12 - j**3\/3 - 3*j**2 - j. Let u be q(3). Suppose -u + 2 = -4*y. Solve y = -d - 0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86415 and 8400.\nAnswer: 6913200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 0, -15, 4, 5, 21 in ascending order.\nAnswer: -15, 0, 3, 4, 5, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and (-170)\/119 + 3744\/63?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iywuiw. Give prob of sequence ywiw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 8*i - 4. Let u(h) = 3*h**2 + 2. Suppose -3*d = -3*y - 3, -2*d + 2*y = d. Let x be u(d). Let o be 12\/(-42) - (-46)\/x. Determine a(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*w - 17313, 0 = -5*c + 11*c + 2*w - 34610. What are the prime factors of c?\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Suppose -3*z - z = -5*p - 5, 0 = x*p + z - 14. Let d = 29 + -24. Solve 11 - d = p*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1856 - 1.3.\nAnswer: -1.1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1946*l**5 + 1958*l**5 - 3958*l**5 + (0*l + 0*l - l**3)*(2*l**2 - 4*l**2 + 3*l**2) - 2*l**5 - 1 + 1 - 3*l - l**5 + 3*l.\nAnswer: -58*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075302?\nAnswer: 2, 3, 19913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 u when three letters picked without replacement from zuuuzuuu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 30, -2.1, -0.216, 4?\nAnswer: -0.216","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 5:32 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*s + 247*s = 2*d + 2, 4*s = -4*d. What is the closest to -33 in 0, s, 6\/5, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.59502 milliseconds in seconds?\nAnswer: 0.00559502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p. Let k(c) = 11*c + 1. Let z(r) = -6*d(r) - k(r). Let q = -33 + -169. Let w = 203 + q. Determine z(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2891860 + -6418140. Round x to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580008127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 - 40*a - 108. What is g(-18)?\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((8\/60)\/((-2)\/10))\/((-36)\/(-54)). Let a(x) = x. Let j(r) = -r**3 + 2*r**2 + 2*r + 1. Let s be j(-1). Let w(g) = -g - 1 + 4*g - s*g. Give l*a(i) - w(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 115. Suppose -o*u + 26*u = -608. Let k = -36 + u. Calculate the greatest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-3)*(-2)\/(-4). Let k be (-9 + 8)\/(u\/8). What is the first derivative of -7*n**k + 4*n**4 + 5 + 7*n**4 wrt n?\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.63 + 2.67. Let f = o - 3. What is the third biggest value in f, -0.02, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -4*n, 2*n + 572*w - 571*w = 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -20. Sort s, -2\/11, -3, -0.3 in ascending order.\nAnswer: s, -3, -0.3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/2 - 12943*l\/2 + 19410 = 0.\nAnswer: 3, 12940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*m + 15 = -60*m + o + 16, 0 = -5*o - 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6532 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -121102 (base 6) in base 16?\nAnswer: -297e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 + 649*j**2 - 941*j - 9034. Determine i(323).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*i + 49. Let g = -7 + i. What is the third derivative of -m**g + 2*m**3 + 2*m**2 - 5*m**3 wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 28. What is the nearest to 5 in -1, a, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.7359 + -19.48. Let w = -26.74 + 27. Let u = w - o. Round u to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.16918 - 0.03082. What is the second smallest value in -5, 2\/7, -6, 2\/13, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 31*f - 7. Let l = 267 + -273. Let h be d(l). Let q(c) = 253*c**2 - c - 1. Let v be q(-1). Calculate the highest common factor of h and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(3864\/140 - 27).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6953117 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/360 - x**4\/12 + 2*x**2. Let g(s) be the second derivative of l(s). Let j(q) = 2*q**2. Give j(g(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 27, 3, 4, 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6480827 to the power of 1\/2, to the nearest integer?\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 345 + -192. Suppose 2*o = -2*f + f + t, -4*o = f - 303. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 4 + (2 - 4 + 3)*(1 + 2 - 1))*(-2 + 0 + 0)*(4 + 1 - 6)*(-26*z - 41*z + 5*z)*(3 + 1 - 2) to the form u + g*z and give g.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(52)*-1)\/sqrt(4))**2 + 3 + -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/17682662 equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 25*a**2 + 202*a + 475. Calculate r(-19).\nAnswer: 1330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-1 + -2)**2 + (1*(sqrt(5) + -2*sqrt(5)) - sqrt(5)) + 1*sqrt(5)*1 - (5*sqrt(45)*1)\/(3*sqrt(18)\/sqrt(2))*-4.\nAnswer: 149*sqrt(5)\/3 + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 - 7*k**2 - 10*k. Let j be u(-4). Calculate the highest common factor of 23 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16 - 22*j**2 - 19*j**4 + 42*j**4 - 21*j**4 + 36*j.\nAnswer: 2*(j - 2)*(j - 1)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2 = -630*b + 632*b, 0 = -2*q + 4*b + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(20\/5))\/((-23)\/((-115)\/30))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43246.81 weeks in minutes?\nAnswer: 435927844.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*-0.8\nAnswer: -0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122\/3 - -41. Let a(q) be the first derivative of 1 + 0*q + 0*q**2 + s*q**3. Let p(m) = 3*m**2. Calculate p(a(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13508220, 13508222, 13508224, 13508226?\nAnswer: 13508228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - -45 - (-2 - ((-2 - -10) + -3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 0)*8\/16. Let n = i + 8. Let s(d) = -d**2 + 9*d + 8. Is s(n) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v + 1. Let a(k) = k**3 + 12*k**2 - 15*k - 18. Let x be a(-13). Let u = 23 - x. Let d be 5\/u*(-2 - (-1 + -4)). What is y(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l**6*l)\/l)*l**(-8)\/l*(l*l**(4\/7))\/(l*l**5*l*l) assuming l is positive.\nAnswer: l**(-143\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 + 10*f**3 - 20*f**2 - 40*f.\nAnswer: 5*f*(f - 2)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 + 17*g + 20. Let l be i(-13). Suppose -6*p = -1870 - l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - (7 + -22) - ((-4 - 8) + (4 - 0))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -947, -955, -965, -977?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2*z**(-14\/9) assuming z is positive.\nAnswer: z**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k - k + 2*k)*(-2 + 2 + 2*k) + (-k - k + 0*k)*(0*k + 3*k - k) + (-5 + 4 + 0)*(3*k**2 - 4*k**2 + 3*k**2) + 4 - k**2 - 4 + 70*k**2 + 46*k**2 - 63*k**2.\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**5 - 4645*w**4 + 118535*w**3 - 682235*w**2 - 118530*w + 686880 = 0.\nAnswer: -954, -1, 1, 9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1215 or -1225?\nAnswer: -1215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/((-9)\/((-2673)\/22))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/15 + 43\/60. Let f = 81 - 487\/6. Suppose 2*t + 10 = -4*i + 5*t, 0 = 5*i + 4*t - 3. Which is the closest to i? (a) -2 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 + 338. Let c = n + -4. What are the prime factors of c?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.44577nm in micrometers?\nAnswer: 0.09544577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 0, -4*r + 2*r + 70 = -o. Let g(w) = 17*w**3 + w**2. Calculate the remainder when r is divided by g(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26730 (base 11) to base 5\nAnswer: 2210043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -14. Solve l = 3*c - 5 - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.100015497 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/252 and 109\/2772.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -0.9. Which is the nearest to -2? (a) -2\/13 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(2 - 2*i - 2) - i + 4*i - 2*i - 17*i - 20*i + i.\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 8*p - 7. Let k = 363 + -371. Calculate l(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g = 0. Let y = 2 - -1. Factor g*l**y + 5*l**3 - 5*l**3 + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*p = 25*p + 136653 + 46123. Is p a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560957648 to the power of 1\/2, to the nearest integer?\nAnswer: 59674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111101010101100010 (base 2) in base 9?\nAnswer: -3380165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*m + 83208, -4*j + 9776 = 2*m - 31826. What are the prime factors of m?\nAnswer: 71, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmhh when four letters picked without replacement from ffammfmhfhfhmffffm?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 362847168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b501a5 (base 12) to base 4.\nAnswer: 320121220031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -342*w**2 - 305 + 79*w**3 - 591*w**2 - 2182*w - 179 - 87*w**3 - 53*w**2.\nAnswer: -2*(w + 2)*(w + 121)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(7200)*-2 + -2)**2 + 3 - (sqrt(7200) + 1 + -5 + -3)).\nAnswer: -115256 - 1680*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a - x + 1, -2*a + 5*x = -4. Let i(f) = 0 - a + 2 - 2*f. Let c(v) = 2*v**2. Give i(c(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*v - 21, -2*v - 18 = -b - 25. Let p(r) = r**2 + 4*r + 6. Give p(b).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(19)*-4 + sqrt(19) + 1)**2 + 3)*-6.\nAnswer: -5610 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0248 + 0.5248. Which is the closest to 4? (a) 0.1 (b) w (c) 0 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*y**5 + 11686*y**2 + 5076916*y?\nAnswer: 400*y**3 + 23372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 656 and 59368.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158164 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1637070.273 - -1637918. Let z = -853.2 + x. Let o = 0.863 + z. What is o rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = -3*v - 95. Let f = 132 + v. What is the remainder when 22 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 - 45*o - 10. What is r(12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6044 + -12085\/2. Suppose 0 = -0*m + m + x - 2, 0 = -m + 2*x + 11. Suppose 0 + 3\/2*n**2 + 0*n**3 + 3\/4*n - 3\/4*n**m - f*n**4 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 490, 3910, 9608, 17584?\nAnswer: 27838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20.08621 and -0.454.\nAnswer: 19.63221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -1\/20*r**5 + 0*r + 0*r**4 + 18*r**2 + 0*r**3 + 0. Let k(a) = -9*a**2. Calculate k(y(g)).\nAnswer: -81*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 + 68*b**2 + 26. Give t(34).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*o, 0 = -0*j + j + 5*o + 2. Let n(g) be the second derivative of g**5\/20 + g**4\/12 + g**3\/2 + g**2 - g. Is n(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529481931 a multiple of 3707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105800816.\nAnswer: 2, 11, 19, 29, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39652445\/51519 + 4\/17173. Is t > 770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 253\/104494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = 4*i. Let a be 185\/i - 5\/10. Let v = a + 151. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**4 - p**4 - 2*p + 5 + 4*p**4 + 0 to the form r*p**2 + j + q*p**4 + l*p**3 + i*p and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l + 75*l = 141. What are the prime factors of l?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*a**2*k**3 - 3487*a**2*k**2 - 1746532*a**2 wrt k.\nAnswer: -69*a**2*k**2 - 6974*a**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*((-15)\/(-9) - 2). Let a be (-4 + -1)*(b - 2). Let h = -30 + 105. Calculate the greatest common factor of a and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20554331 + 3?\nAnswer: 20554334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731*q + 779*q = 672 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 + 24*g + 11. Determine d(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/9 - 380*q**2\/9 + 2342*q\/9 - 1960\/9 = 0. What is q?\nAnswer: -196, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-2 + (-8)\/(-6)). Let j(y) = -y**2 - 25*y + 138. Let m be j(5). Put -4, v, m in ascending order.\nAnswer: m, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 287*d = 290*d - 7, 5*d - 17 = -c. Let a(w) = -2*w + 2. Let u be a(-4). Solve 5*l - u = c*n, -4*l + 5*n - 9 = -0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 38, 4, 5, 28 in ascending order.\nAnswer: 0, 4, 5, 28, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3 and -9\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdxm when four letters picked without replacement from vovxvzmxdvzzmmv.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 - 22*d + 2. Let z be h(5). Solve u - g + 5 = -0*u, -u = -5*g + z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59 or 58?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 8:39 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/((-3)\/(-4)*(-248)\/(-992))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 69344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/((-267840)\/150))\/(((-30)\/(-75))\/(6\/5)).\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 147 = 7*f. What is the fourth smallest value in 0.2, 2\/5, 2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-29) - (-1774)\/(-25723).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*m. Solve -w = -m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 p when four letters picked without replacement from upprzrjpjprp?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 12*h**2 - 22*h**2 - 29*h**2.\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*y + 2 = -u, -3*y + 3 = -4*u. What is the second smallest value in -4, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n - f = -57*n - 21, -2*f - 18 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12e4b5 (base 15) to base 7.\nAnswer: 10503662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f = 0. Suppose f = 3*j - 4*j + 4. Suppose 2*w = 3*g - 5, 0 = 7*g - 2*g + 3*w - 2. Solve 0 = -j*v - 5 + g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*u + 77, -3*u - 2*r = -6 - 51. Suppose u*p = 12*p + 15. Factor 2\/7*o**p + 0 + 2\/7*o - 4\/7*o**2.\nAnswer: 2*o*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.95 + 0.05. Which is the nearest to i? (a) -2\/3 (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -98*m**2 - m + 1. Let o(f) = -85*f - 1. What is o(l(v))?\nAnswer: 8330*v**2 + 85*v - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 3 + 0*y**2 - 6095*y**4 - 6103*y**4 + 12200*y**4 - 3*y**3 + 3*y as d*y**2 + q*y**4 + t + w*y**3 + r*y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -1354\/41, -4, 5, 3\/209?\nAnswer: 3\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 + 597712*h\/9 + 44657454368\/9.\nAnswer: 2*(h + 149428)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1621691 and 56314.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*5703.3\nAnswer: -1140.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10190831?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 + -73.29. Let l = -0.11 + h. Let o = -0.1 + 0.2. Which is the nearest to o? (a) l (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.04 + 0.04. Suppose 0 = -4*s + 2*z + 30, 3*s + 0*z = 4*z + 35. Let i = 0.3 + -1.3. Which is the closest to j? (a) i (b) -0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45370.33l?\nAnswer: 45370330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f = -4*h + 20*f + 116, 3*f = 0. Calculate the remainder when 147 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309e0 (base 16) to base 6.\nAnswer: 4133532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*z - 96*z - 9 - 54*z**2 + 175*z.\nAnswer: -54*z**2 - z - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 29445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + -83 + -2 + -14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/38)\/(-2)*268\/(-402). Put -0.5, -4, u, 17 in descending order.\nAnswer: 17, u, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -76*p - 606. Let o be j(-8). Let z(g) be the third derivative of 0*g + 2*g**2 + 1\/24*g**4 - 1\/6*g**3 + 0. Let q(k) = -k + 3. Determine o*z(m) + q(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**3 - 3*x**2. What is s(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8475 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Suppose -c*l - l + 135 = 0. Let t = 145 - 136. Calculate the greatest common divisor of l and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 192\/65843?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 26*h = 3264. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*x + 6*x - 9*x - 4*w, -4*w - 8 = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7) + -1395*189\/158760?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**3\/3 - k**2\/2 - 4. Let h(z) = -z**3 - 5*z**2 + 7*z. Suppose 2*n = -n + 15. Give n*p(v) + h(v).\nAnswer: -v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -74446182970 and -51.\nAnswer: -74446183021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -0.03, -16\/203, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/87416 and -79\/12488?\nAnswer: 87416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 96*g**2 + 499*g + 331. Determine m(42).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*((-25790 - 0) + -1 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 8) to base 6.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 7:37 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1616*m = -81407 - 98551 + 31286 for m.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 12*o + 12. Let n be t(5). Let q(s) = 2*s**3 + 2*s - 1. Determine q(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -17*r**2 - 16*r - 9. Let s(i) = 4*i**2 + 4*i + 2. Determine 9*s(c) + 2*u(c).\nAnswer: 2*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 63 = -3*v. Let y be 76\/18 + 14\/v. Solve -4 = -2*u + y*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y\/y**(1\/35))\/y*(y\/y**(-12))\/y)**(-38) assuming y is positive.\nAnswer: y**(-18582\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 4*h)*(-4*h**2 + 23864*h + 115 - 23864*h).\nAnswer: -12*h**3 + 345*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -82*i**2 - 88*i + 405. Calculate v(7).\nAnswer: -4229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/15)\/((-10)\/30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4621.369 litres in millilitres?\nAnswer: 4621369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41845629?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 1 + 2)*((-2 - 1 + 2)*(4 + 2*j - 4) - 7*j + 7 + 0*j - 9) - 2*j - 2*j + j.\nAnswer: 78*j + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooxx when four letters picked without replacement from ooooxooooxooooooooo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -561836*a**6 - 3*a**5 - 10*a**3 + 38*a**2 + 2*a - 2101025 wrt a?\nAnswer: -67420320*a**3 - 180*a**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 48. Let l = -3 - u. Solve 0 = 3*m - 4*c + 4, l*c + 0*c = -m + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 10 = 5*c - 11, 0 = -c + 4*d + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*f + 34*f - 66 + 32*f to the form x + y*f and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2456 minus -958403.089?\nAnswer: 958403.3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -122a (base 14) in base 5?\nAnswer: -100144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4887 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(0 + 0 + 447*s + 12209*s + 3521*s).\nAnswer: -16177*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 615.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -522 - -520. Let h be 0 - (-3)\/9 - 3\/9. Sort k, -1, h, -5 in descending order.\nAnswer: h, -1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t - 103. Let h(n) = -17*n - 204. Calculate -5*f(u) + 3*h(u).\nAnswer: -16*u - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315 + 69. Let o be 3\/(9\/j) - -2. Let g = o + 135. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43583b4 - -1?\nAnswer: -43583b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 5*u**2 - 3*u + 7. List the prime factors of o(-7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 11.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364726638.\nAnswer: 2, 3, 349, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 357*l + 24149. Give v(268).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -11*z - 124. Let k(r) = r**3 + 8*r**2 + 12*r + 23. Let i be k(-7). Let t be n(i). Solve -u + 36 = t*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/16 + 2\/(-8). Suppose x = 3*r - 5*r + 10. Suppose 17 + 71 = 4*v - r*f, -4*v + 2*f = -100. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -o + 501, 3*z - 7*z + 3*o = -987. What is the remainder when z is divided by 38?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (1 + 11 + (-45 - -60)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 7*a**2 - 2*a + (a + 2*a - a)*(-4*a + 4*a + 2*a) - 2 + 1 + 2*a**2 + 0 as m*a + h*a**2 + v and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1536, -1472, -1370, -1230, -1052, -836, -582?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/37, 0.3, -1.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (-5 - (4025\/(-2) + 7)). Let q = -1989 + s. Solve 15*m - q*m**3 + 3\/2*m**4 + 21\/2*m**2 - 12 + 3\/2*m**5 = 0 for m.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 8:32 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 4*t + 3. Let f be u(0). Solve 4*p + 3*a = 12, -f*a + 3 = p + 2*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 2, -2*t + 4 = -2*s. Suppose -12 = -t*q + 48. Calculate the remainder when 28 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 21 = v. Suppose 0 = -2*j + 3 + v. Suppose 0 = m - 4*m - 4*h + 21, m = -2*h + j. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/10 and 73\/2380.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-10))\/(f**(13\/3)*f))**(-9))**(-4))**(-3\/5) assuming f is positive.\nAnswer: f**(-612\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53838833*f**2*g**4 + 252*f**2*g**2 + 43837*f**2 - 2*f*g**5 + 2*f*g**2 wrt g.\nAnswer: 1292131992*f**2*g - 120*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 4.7. Let l = -2 - j. Let u = l - -2. What is the biggest value in 1\/2, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2350 is divided by 79?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a microgram in nanograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = 195 - 204 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 750 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563535 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69158 + -2?\nAnswer: -6915a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 5*w**2 - 3*w**2 - 14*w**2.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1896041 divided by 1896041.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-3 + 10)\/(-21). Which is the nearest to 0? (a) -0.1 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -10*m + m. Solve -m = -0*d + 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9763749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 756164711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/5 - (-50)\/18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.05, -5, -0.8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyffyhtjtyfnfy. What is prob of sequence hfnj?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 0*q + 1\/2*q**2 + 1. Let c(o) be the second derivative of o**4\/3 - 88*o. Calculate w(c(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 41*g + 14*g + 46*g.\nAnswer: 19*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 10021698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/134, -54, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 328648.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 7:41 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 5358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4*o - 2*o)*(-4*o + 3*o + 2*o + (-1 - 4 + 4)*(-3*o + 5*o + 0*o) - o + 3*o - 4*o - 4*o - 2*o + 5*o - 3 - 2*o + 3 - 3*o - 2*o + 4*o).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*h**2 + 36*h**2 - 12*h**2 + (-1 + 1 - 2*h)*(2*h + 3 - 3).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(98\/(-2744)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.32, 0.021, 1, -7 in ascending order.\nAnswer: -7, -2.32, 0.021, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + (-7)\/(-42))*0 + 2395.\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 77 + 0*b + 7\/3*b**3 + 0*b**2. Let g(u) = 2*u**2. Determine g(s(v)).\nAnswer: 98*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (5 - (16 + 16) - -12).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukkukgkkkuuaukgkukku. What is prob of sequence aku?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**3 + 7*g**3 - 5*g**3)*(3 + 4 + 57) as a*g**2 + c*g + f*g**3 + u and give f.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - 69. Solve 27 = p*s + 2*b, 3*b = b + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/24 + 2\/(16\/(-22)). Let g be 15 + (0 - 0)\/f. Solve 5*n - g = 0, -n - n + 10 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12474 divided by -6237?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.3, 2\/7, 192.\nAnswer: 2\/7, 0.3, 1\/2, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 80012 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let g(i) = 4*i**2 - 3*i. Determine g(a(p)).\nAnswer: 4*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1473970, -1473971, -1473972, -1473973, -1473974?\n\"Answer: -z - 1473969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*d**5*j**3 + 100*d**2*j**3 + 109*d*j + j**3 + 30*j**2 wrt d?\nAnswer: 660*d**3*j**3 + 200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 618962, 618961, 618960?\nAnswer: 618959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 23 + 33. Let t(r) = -r + 64. Calculate the least common multiple of t(s) and 22.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 + -37?\nAnswer: -5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4497.046 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from oooddodoodoooddd?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 47 = -6*f. Suppose -19 = c + 4*o + 3, 2*c + 4*o + 28 = 0. Is f less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s**2 + 3*s**2 + s**3)*(176 + 181 - 74) to d*s + j*s**3 + m + z*s**2 and give j.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) 1\/7 (b) -50 (c) 0 (d) 1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -3*m**6\/10 - 2*m**2 - 6*m. What is the first derivative of d(k) wrt k?\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (17\/(-9))\/(6\/(-3)) and ((-30)\/4)\/((-270)\/130).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 52 = 6*n. What is the remainder when -5*(-23 + 15) - (-4 - -19) is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 12*t = -8. Let f = t + 5. Suppose 0 = -5*p - 0*w + 3*w + 14, 0 = -3*p + f*w + 6. Solve q - 2 = -4*q + 4*v, -2*v + p = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poo when three letters picked without replacement from {f: 1, x: 2, o: 2, p: 1, v: 1, j: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 - 2 + 147*k - 138*k + 3*k**2.\nAnswer: 3*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 47. Suppose 0 = 4*p - 20, -9 + 64 = g*j - 2*p. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -1 (c) 5 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 116530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 - 82*r - 35 + 59 + 18*r - 9*r - 20*r + (-2 - 1 + 2)*(r + 2 - 2).\nAnswer: -94*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*x + 2, -k + 2*x = 2*k + 6. Let i be (k\/3)\/((-4)\/42). Suppose -3*u - 2*u = -2*q - i, 11 = 5*q - 3*u. Solve -q*o + 13 = -3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2 + 247266052*j + 15285125117916676 = 0. Calculate j.\nAnswer: -123633026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24 - 4*y**4 - y + 9*y - y**4 - 9 - 5 + 2*y**5 wrt y?\nAnswer: 40*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 - (3 - (-1 + 8))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44673172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5855 is divided by 234?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*(-132)\/(-1320)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1131 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*x - 2*x = 298, 3*k = -3*x + 273. Suppose -j = -5*j - k. Let c be ((-16)\/6)\/(16\/j). Put 0, c, -1 in ascending order.\nAnswer: -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/24 + ((-121)\/2 - 2)*(-39)\/45.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -177, -1, -9, -4, 6, -6 in increasing order.\nAnswer: -177, -9, -6, -4, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11918\/(-1003) - (-9 - 3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {i: 2, b: 1, o: 2, x: 1, d: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -4 (c) -5 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, -4, 5 in descending order.\nAnswer: 18, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 2*c + 28. Let y be v(6). Suppose y*n = 52 - 0. Suppose n*a - 12*a - 61000 = 0. Round a to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -12*y**2 - 17*y - 12. Is x(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -1101?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-88) + (2 + -4)\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/9*(1 - 4). Let j(g) = -2*g + 11. Let o be j(0). Sort p, o, -4 in ascending order.\nAnswer: -4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*v**2 + 251*v - 251*v + (1 - 1 - v)*(0 + 0 + v) + (-6*v + 3*v + v)*(-61 + 61 - 12*v).\nAnswer: -41*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = -75. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 0*f**3 - 1 - f**3 + 6*f**2 + 10. Suppose -5 + 29 = 4*r. Calculate h(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89554 - -626875\/7. Let q = -0.1 - -0.3. Which is the nearest to 0.1? (a) q (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6) - 37\/(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 0, 8*i = 3*i - 5*a + 295. What are the prime factors of i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 10*q + 11*q = -3*r + 5*r + 38, -2*q + 32*r - 92 = 2*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*h - 3*x + 7*x, 22 = 2*h - 4*x. What is the remainder when (4 + -2)*-2 - -56 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 111821 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(2\/3))*k*k*k**(1\/2)*k)\/(k\/(k*k**(-2)))**48 assuming k is positive.\nAnswer: k**(-545\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192288\/43 or -4473?\nAnswer: -4473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -22*b + 1. Let k(x) = 1022*x - 2. Calculate -k(a) - 3*v(a).\nAnswer: -956*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.1873 + 0.1873. Which is the nearest to -1\/4? (a) 0.1 (b) 0 (c) 1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u**(3\/4)*u)\/u*u*u)**47\/((((u\/u**15*u)\/u)\/u)\/(u\/(u*u**20)*u)) assuming u is positive.\nAnswer: u**(877\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1.57 (b) 2\/3 (c) -12 (d) -0.14 (e) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 4:54 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 156 + -155.9. Which is the smallest value? (a) p (b) 2 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 533827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1579473.22 rounded to the nearest 1000?\nAnswer: -1579000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a**3 - a**2 - a. Let t be g(-1). Let l be ((-26)\/t + -3)*-5. Solve 5*h = l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29c (base 13) to base 7.\nAnswer: -1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 12:55 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 4:56 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, -2787 in descending order.\nAnswer: 5, 3, -3, -2787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z**(5\/4)*z))\/z*z*z*z)\/(z\/(((z\/(z\/z**(3\/7)*z))\/z)\/z))*(z**(-23)\/z)**(6\/5) assuming z is positive.\nAnswer: z**(-4287\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 12:30 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - 3*y**2 - y + 2. Let p(a) = 13 + a**3 - a**3 + 10 + 2*a + 6*a**2 - 4*a**3 - 28. Determine -5*m(u) - 2*p(u).\nAnswer: -2*u**3 + 3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 14*b + 12 = -3*i, 5*b = i + 4. Solve 99*w - 94*w - 30 = b for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*m**3 + 8*m**2.\nAnswer: -4*m**2*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 750 = -12*m + 16*m, 4*d = -2*m + 1020. Calculate the remainder when d is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1449, 5, 2\/17.\nAnswer: -2\/1449, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**4 - 4*j**4 + 5*j**4)*(-7*j + 129*j + 21*j)*((6 - 2 - 3)*(-1 + 3 - 3) + 1 - 6 + 3 + (3 - 1 - 4)*(-3 + 7 - 2)) + 6*j**5 + 4*j**5 - j**5.\nAnswer: 3012*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 4*j + 30 = -k, -5*k - 6 = j. Let y(q) = q + 7. Let f be y(j). Differentiate 3*w**3 + f - 2*w**4 - 3*w**3 wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cogooowccorcocrg. What is prob of sequence goo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/3)*(s\/(s\/s**(-4\/7)))\/s)\/((s**(-2\/5)*s)\/s)**(-20)*(((s\/(s**(-1\/2)*s))\/s)**(7\/5))**(2\/79) assuming s is positive.\nAnswer: s**(-76777\/8295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -300\/13739?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2033 - -131a?\nAnswer: -b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Let x = -4 - -3. Let i = r + x. What is the third smallest value in -4, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, 0.2, 668, -0.2, 1\/8, -7?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 24*x**2 + 26*x - 25. Let r be c(25). Let j(p) = -p**3 + 7*p + 481. Is j(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 380775 = w, -28*s - 8*w + 1142347 = -25*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/8, 0, 0.4, 1\/51?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104010 - 24?\nAnswer: 103431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -105*z**3 - 3*z**2 - 2*z - 4. Let q be s(-2). Suppose 4*h + 5*u - 11625 = q, -h = -5*u - 3132. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - 10*j)*(-2 + 4 - 1 + (1 - 1 + 2)*(5 - 8 - 8))*(-4 - 10 + 0).\nAnswer: -2940*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34636)\/(-12298) + 7 + -10. Let s = k + 1\/559. Let f = -74 + 226\/3. Which is the third smallest value? (a) f (b) 20 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 19. Let a = -17 - k. Suppose 0 = 4*h - 6 + 2. Sort a, -0.5, h in descending order.\nAnswer: h, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 2 (b) -1\/6 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -100113740 and 0.8?\nAnswer: 100113740.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**4)**(-4\/15) assuming g is positive.\nAnswer: g**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 8*d - 5. Let z be x(3). Let j be (-15)\/z*((-20)\/6)\/(-5). Calculate the common denominator of -45\/8 and 3 + (j - (-165)\/(-18)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8888 at most 13169\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40332447 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200 + 0?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -42311?\nAnswer: -42312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.234872 and -144.\nAnswer: -33.821568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9383, -9381, -9379?\n\"Answer: 2*c - 9385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 99*t**3 - 2394*t**2 + 3100*t + 15000.\nAnswer: -(t - 3)*(t + 2)*(t + 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/176*(-160)\/(-28)*(-4)\/(-10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 19068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*g + 3*n + 105, 246 = 5*g - 2*n. Let b = g - 25. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 14\/21*57\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooofffooooo. What is prob of sequence of?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128340 and 168948?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 32*a**2 - 221*a + 22. Let c be k(7). Suppose 5*o = -2*n + 162, 5*n - 5*o - 354 = n. What is the highest common divisor of c and n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 52 + 32*l - 8*l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (15\/3 - 7). Suppose l*y + 2 = -2*u - 2*u, 10 = -2*y. Solve -5*r = -g - 11, -u*r - 6*g - 1 = -g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 286 = -113. What is the remainder when (-306)\/(-8) + 15\/20 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 16 + 8)*(5*r - 3*r - 6*r)*(2*r**3 + 3*r**3 - 4*r**3).\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1882 divided by 286.\nAnswer: 941\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1071\/11932 + 9\/314. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g**2 + 5*g**3 - 13*g**2 + 39*g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xccn when four letters picked without replacement from {c: 6, n: 2, j: 1, x: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 + 105 + 67 - 2*r)*(22 - 6 + 6) to c + i*r and give c.\nAnswer: 3102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**3 - 8*d**2 - 2*d - 4. Let m be h(-4). Let q = 348 - m. Suppose 4*r - q = -8*p + 4*p, 0 = p. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -16*g - 6. Let p be o(5). Let k = 162 + p. What is the remainder when k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629860305?\nAnswer: 3, 5, 113, 227, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 374*d - 195*d - 182*d - 615 as s + k*d and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -196391 or 13\/11?\nAnswer: -196391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -390 - -653. Let v = 111 + l. Is v a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4+7\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -83 + 563. Suppose -4*t - s = -0*t + 4*p, -4*p = -5*t - 177. Which is smaller: -34 or t?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.29 (c) -0.4 (d) -2.6 (e) 6 (f) -5 (g) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 6*z. Let l(n) = n. Calculate l(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3152 (base 6) to base 10.\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let a = z + 0. Let w be (-2 + (-5)\/(-2))*0. Solve 2*b = a*j, 6*b - b = w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -20*n - 17. Let b(j) = -7*j - 6. Let u(o) = 17*b(o) - 6*s(o). Suppose 11*x - 132 = 88. Let q(f) = 28*f. Give x*u(c) - q(c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92*v**3 + 1728*v**2 - 12852*v + 20520.\nAnswer: 4*(v - 3)**2*(23*v + 570)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**2 - 31*i + 156. Give g(10).\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -0.3 (c) 6368\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5458, -5465, -5474, -5485, -5498, -5513, -5530?\n\"Answer: -c**2 - 4*c - 5453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*u - 3233, -6*i + 3*i = -u + 800. Let d = -4019\/5 + u. Factor 14\/5*o - 6*o**2 + d*o**3 - 8\/5*o**4 - 2\/5.\nAnswer: -2*(o - 1)**3*(4*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/63 and -89\/630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = r, 3*r + 9 + 9 = 3*q. Factor 30\/13*z + 2\/13*z**3 - 14\/13*z**q - 18\/13.\nAnswer: 2*(z - 3)**2*(z - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98745 is divided by 172?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1274.057089+37\nAnswer: 1311.057089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 9) to base 12.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412881283 is divided by 72119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {f: 2, l: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -27*g + 179. Determine i(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**7)\/((i*i\/(i*i**(2\/11)\/i))\/i))**(1\/9) assuming i is positive.\nAnswer: i**(79\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 84*n**2 + 49*n - 49. Let d(b) = 7*b**2 + 4*b - 4. Let t(g) = 49*d(g) - 4*i(g). Let w(c) = 8*c**2. Determine -4*t(f) + 3*w(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 17 (b) 0.1 (c) 10 (d) 0.5 (e) 0.26 (f) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -743, -2550, -6145, -12152, -21195, -33898, -50885?\nAnswer: -72780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (8 - 6))\/(-3). What is the second smallest value in -0.1, -3, -0.12, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31233 - 11?\nAnswer: -31310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 12*j**2 + 13*j + 11. Let u be (13\/4)\/(21\/12 - 12\/6). Determine c(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 5*z**2 - 4*z + 3. Let d be q(3). Let x = d + 26. Let v be x + (2 + 0 - -1). Solve -v*m + t + 4 = 0, t + 16 = -3*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 15*f - 3*f + (1 + 1 + 0)*(-2*f + 0 + 0))*(-2*f**2 - f**2 + 4*f**2) + (2*f - f + f)*(0 + 0 - 2*f**2) + 0*f**3 + 0*f**3 - 4*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 236*d - 569. Does 13 divide w(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*v*w**2 - 42*v*w + 126784128*v + 1791*w**2 wrt w.\nAnswer: 16*v*w - 42*v + 3582*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**(3\/5)\/r)\/r)\/r)\/r)\/r)**(3\/11)*(r\/(r**(-3)\/r))\/(r\/((r*r**2)\/r)) assuming r is positive.\nAnswer: r**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dc - 8?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -14*x**3\/3 - x**2\/2 - x - 1. Let w be m(-3). What is w rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 7:46 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16602 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-288)\/(-45)*(-10)\/(-4). Let a = -16 + q. Solve -2*c - 6 = -0*c, 3*k + c + 6 = a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1491*l**2*m**2 - 5911*l**2*m - 2*l**2 - 416*l*m**3 + 14*l*m - m wrt m?\nAnswer: -2982*l**2 - 2496*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26375 - 0.16275. What is the smallest value in -18\/5, 2, s?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*k = 4 - 20, -2*r = -3*k - 12. Let y(b) be the second derivative of 10*b + 2\/3*b**3 + r + 7\/2*b**2. Differentiate y(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 16 = 3*t - 2*c, 4*t + 5*c - 15 = 0. Sort 2, 4, t in decreasing order.\nAnswer: t, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31669309.\nAnswer: 7, 61, 74167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-28)*(-12)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.230942 and -0.2.\nAnswer: 0.030942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1608002232.\nAnswer: 2, 3, 67000093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 5*i + 78. Calculate l(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/3332)\/((-12)\/14)*9*48\/(-540)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/36*24\/2. Suppose 3*f + 4*j + 1 = 2*j, f = -5*j - 9. Let a = h + f. Calculate the remainder when 23 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1226*y = -572*y - 22890 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2431\/3 smaller than -811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -1)\/11 + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.9, 0.26, -2\/5, 205?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -232786*n**5 + 4083*n + 26 wrt n.\nAnswer: -4655720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 5. Let o(b) = 7*b + 14. Determine -11*m(g) + 4*o(g).\nAnswer: 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 10:55 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-20)\/(-24) - 15782\/12. Let r = w + 2430. Suppose 7*n - r = 2*n. Is 42 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313851?\nAnswer: 3, 233, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2589, 1, 334, 77, 2 in descending order.\nAnswer: 2589, 334, 77, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/1 - 33*(-2)\/6. Let w(x) = -x - 1. Let q(j) = 2*j**3 - 2*j**2 - 3*j + 4. What is n*w(s) + q(s)?\nAnswer: 2*s**3 - 2*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*m**3 + 5 + 44*m**3 - 2 - 2*m**2 in the form k + o*m**3 + b*m**2 + q*m and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 0.3, -2\/29, -67, 1\/4.\nAnswer: -67, -2\/29, 0.22, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.29 and 3.812.\nAnswer: -1.10548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 + 892*n + 9328 = 0 for n.\nAnswer: -212, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69449*d*r**2 - d*r + 4*d + 521791*r**2 wrt d?\nAnswer: -69449*r**2 - r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-464)\/203)\/(-2*45\/(-70))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 826079.9 litres in millilitres?\nAnswer: 826079900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, c: 2, k: 1}. What is prob of picking 1 k and 1 m?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 2, k: 1, p: 2, n: 1, x: 1}. Give prob of sequence ux.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1908286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (16 + (13 - (10 + 24))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 222.3 - 248. Let q = 25.4 + s. Let i = 8 + -5. Sort 3\/4, 2\/9, q, i.\nAnswer: q, 2\/9, 3\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:20 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 0*x + 10, -5*z + 31 = 3*x. Suppose z - 20 = -5*k. Solve 0*o - 2*h - 23 = -3*o, -4*o + k*h + 32 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*l**3 + 18*l**3 - l**4 - 702*l**2 + 700*l**2 - 38 as p*l + c*l**2 + d*l**3 + o*l**4 + q and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(30\/(-20))*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -328, -1294, -2198, -3040, -3820, -4538, -5194?\n\"Answer: 31*j**2 - 1059*j + 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149888 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -545*v**3 + v - 2400.\nAnswer: -1635*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27028 + 29528. What is the highest common divisor of 1100 and n?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t**2 - 384*t - 2. Let r(m) = -4*m**2 + 192*m + 1. Give 13*r(v) + 6*z(v).\nAnswer: 2*v**2 + 192*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 118046 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, 1, 4, 17908, 5 in descending order.\nAnswer: 17908, 117, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20301 - -1101?\nAnswer: 22002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26721 by 223.\nAnswer: 26721\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 20 = -11. Let g(t) = t. Calculate g(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(832) + sqrt(832) + sqrt(832)*-2 + sqrt(832) + 5 - (-2 + (-1 + sqrt(832))*-3 + sqrt(832)))**2*-5.\nAnswer: -37485 - 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140244\/(-3472))\/377 + 1842\/(-56).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2175 is divided by 105?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**4\/4 - v**3\/3 + 129*v**2 + 527*v - 3724. Differentiate o(c) with respect to c.\nAnswer: 3*c**2 - 2*c + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.34*0.0074\nAnswer: -0.009916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7*r**3 - 24\/7 - 2\/7*r**2 + 20\/7*r = 0. What is r?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 13*o**2 - 141*o + 141. What is d(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13280.24 decades in millennia?\nAnswer: 132.8024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110\/379 + 30553\/135303. Let v = x - 17209\/714. Let z = -1600\/123 + -27\/41. What is the common denominator of z and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/53500 and -61\/4000?\nAnswer: 428000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4))**15\/((k**(3\/4)\/k)\/(k*k*k**4)))\/((k*k\/(((k**(-1)*k)\/k)\/k))**(-13)\/(k**(-3)\/k**(6\/7))) assuming k is positive.\nAnswer: k**(709\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.3 and 25.\nAnswer: 31.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*b + 145, 7*b = 2*b - k + 165. Let w = b - 32. Solve -2*j = w*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 145b5 - 5?\nAnswer: 145b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 5480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1859528 and 139128?\nAnswer: 172936104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1.5 (b) 0.04 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11009)\/763 + 3\/7)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 8*g - 9*g + g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*40\/(-64)*-104 + (6 - 0). What is the highest common divisor of 931 and s?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 21*x - 4. Let r be a(22). Suppose r*i - 5769 = 9*i. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**2 - 8*p. Let i be j(2). Suppose -i*c = -146 + 130. Solve 9 = v - c*z, 2*v + 1 = -z - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/16 and -77\/4308?\nAnswer: 17232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 673966183\/2945 + -228851. What is the common denominator of -9\/38 and c?\nAnswer: 5890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18409 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**3 + 0*f**3 + 2*f**3)*(4*f + f - 2*f + (4*f + 0*f - 2*f)*(5 - 2 - 1))*(6 + 5 - 3) in the form o*f**4 + s*f + k*f**3 + l*f**2 + g and give o.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165041*l = -164978*l + 2205 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -207618 rounded to the nearest 1000?\nAnswer: -208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - (-2 + -22)) + 4 + -7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137277 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6259000 rounded to the nearest one hundred thousand?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/5, 6, 3, -198, -2 in descending order.\nAnswer: 6, 3, 2, 2\/5, -2, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by 21864.\nAnswer: 85\/21864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 - 824*z**2\/3 + 39115*z\/3 + 449236.\nAnswer: (z - 771)*(z - 76)*(z + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1323098\/9392*28\/322.\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 2160.\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1862 - -2039. Calculate the remainder when 378 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) + sqrt(2160) + sqrt(2160)*-2 - sqrt(2160) - 2*sqrt(2940))\/((sqrt(96)*-3)\/sqrt(8)*-4).\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let b(v) = 49*v**2 + 25. Calculate x(b(s)).\nAnswer: 49*s**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by (-5254)\/(-518) - 12\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -104\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 892*k**2 + 70*k + 237. Let l be n(-4). What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 = 4*d - 417. Suppose 42 = 2*h - d. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**3 - 33163*f**2 + 10867*f**2 + 11152*f**2 + 11144*f**2 - 15*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3. Let n(f) = f**3 - 7*f**2 + 8*f - 6. Let u be n(6). Let b(w) = w**2 - 8*w + 9. Let v be b(u). Sort v, 1, a in descending order.\nAnswer: 1, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shhhshhhhhhhhhhhhh. What is prob of sequence shs?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -22. Let x = o - 32. Which is the third biggest value? (a) x (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -15, -13, -9?\n\"Answer: t**2 - 3*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 2*i**2 - 4*i - 1. Let a be x(-3). Let q be (8\/30)\/((-210)\/(-525)). Determine j so that -j**a - 1\/6*j**4 - 1\/6 + q*j**3 + 2\/3*j = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302163 is divided by 714.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3*(2\/(-2) - 1). Let z = 6 + -6.1. Let o = -0.1 - -0.5. What is the nearest to z in 3, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3858888, 3858891, 3858896, 3858903, 3858912, 3858923?\n\"Answer: r**2 + 3858887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-4*f + f + 4*f) - f - 2*f + 4*f - 3 - 2 + 2 + 2*f.\nAnswer: 4*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbeebbexbxxtebeexb. Give prob of picking 3 x.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z. Let h(w) = -31*w**2. Let x(o) = -435*o**2. Let a(u) = -29*h(u) + 2*x(u). Determine a(l(b)).\nAnswer: 116*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155 + -38 - (-306 + 508).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b60 (base 13) to base 9.\nAnswer: -28681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.938 + -0.062. Let q = -474 + 518.28. Let c = p + q. What is c rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30395637 + 3?\nAnswer: 3039563a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -3, -8, 4, 9, 2 in descending order.\nAnswer: 47, 9, 4, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*y - y. What is the units digit of 2\/(y\/(-1))*13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*i + 120*i = -8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42571*z + 11714*z - 26541*z + 37377*z.\nAnswer: 65121*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, s: 4, q: 1}. Give prob of sequence zs.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 37 (b) 102 (c) -1 (d) -0.13 (e) -4 (f) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*n + u + 6, 0 = 3*n + 4*u - 26. Suppose t = n*t - 14. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*q - 51 + 151 - 100.\nAnswer: 451*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10926 by -6.\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(sqrt(49)\/(1*sqrt(7)) + sqrt(7) - -1*sqrt(112))*4.\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 25. Suppose -409 = -a*y + 482. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -13\/99312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8773325 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 26 = 3*x, -23617074*x = -23617078*x + 6*s + 12 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -595 (base 10) to base 2\nAnswer: -1001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 4. What is the remainder when -1*(-35 - (0 - 0)) is divided by u(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gogrkkerkk. What is prob of picking 2 g, 1 o, and 1 k?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -12303?\nAnswer: -12311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 230. Suppose -6*c = -2*c - 5*i - 212, -5*i = -5*c + 260. Calculate the greatest common factor of c and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.57 - 0.5126. Let k = p + -20.0574. What is the second biggest value in -5, -3\/8, k, 5\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + (-18 - ((9 - -4) + -11)) + 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25326 + 25329. Solve -3\/5*o + 2\/5*o**f + 3\/5*o**4 - 1\/5 - 2\/5*o**2 + 1\/5*o**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.04451743 rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/325 - (-100427249)\/325 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 41\/5, -2\/5, 104, 5, -4.6, -0.5?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 87*h**3 - 454*h**2 + 61*h + 10. Determine d(5).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 865859 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 127959 = 3*x, -4*x + 136356 = z - 34273. List the prime factors of x.\nAnswer: 2, 7, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/293 and 56\/9.\nAnswer: 2637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 1134 = 2*k. What is the highest common factor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2*b + 7 + 6 - 18.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1000110010100110000 (base 2) to base 10\nAnswer: -288048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164675 is divided by 36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2. Let n be (2 + -17)*(g - 343\/(-385)). Factor -14\/11*f + 2\/11*f**4 + n*f**2 + 4\/11 - 10\/11*f**3.\nAnswer: 2*(f - 2)*(f - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**2 + 2*v**2 + 4*v**2)*(-44 + 22 - 8) as b*v**2 + j + z*v and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1367994 or 15?\nAnswer: 1367994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 2 + -2 + 2. Let b(r) = -r**2 + 14. What are the prime factors of b(l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/14*(-70)\/(-20).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -655 + 1158 + 152*f**4 + 197*f**4 - 671 wrt f.\nAnswer: 1396*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/54 less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2026955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {d: 1, t: 1, w: 1, o: 1, g: 6, c: 6}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/83, -3\/2, -0.1, -3?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 881*o + 2100 = 1021*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.3 + 23. Let v be 57\/12 + (-1)\/(-4). What is the second smallest value in r, v, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**(1\/5)*x)\/x)\/(x\/x**(1\/5))*(x\/(x*x**(1\/4))*x)**(-38)*((x**(-1\/4))**(6\/17))**(-30) assuming x is positive.\nAnswer: x**(-3987\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31450384.\nAnswer: 2, 7, 23, 29, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104650 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Let h be -4*(-3 - 0)\/6. Let s = -1.2 + 1. What is the nearest to q in h, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18 + 1.18. Let b = 0.1 - 0.1. Let j = b - 0.1. Which is smaller: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 8 = 3*l + 3*s, 2*l - 20 = -4*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*z + 12 = 0, -322 + 314 = -3*y - 2*z. Solve -4*n - 13 + 1 = y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 76*q - 81*q. Let o = 16 - 13. Calculate the smallest common multiple of o and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*s - 3. Let h = -0.41 + 0.51. Let j = 3 + 1. Which is the nearest to h? (a) s (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/7*40\/180?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {x: 3, y: 4, m: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101*c**3*f**5 + 2*c**3*f**4 - 9*c**3 + 17*f**2 + 1 wrt f?\nAnswer: -6060*c**3*f**2 + 48*c**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/3)*v*v**(2\/33) assuming v is positive.\nAnswer: v**(79\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -0.3 (b) 189 (c) -5 (d) -43 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y. Let m be (-2 - -1) + 1*2. Let z(v) = -2*v - 3. Let w be z(1). Let i(s) = -7*s**3 + 7*s + 1. Give m*i(j) + w*b(j).\nAnswer: -2*j**3 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 7:14 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -1\/7, -1\/11, 22 in descending order.\nAnswer: 55, 22, -1\/11, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 2, 57, 1 in descending order.\nAnswer: 57, 2, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*k - 24. Calculate the remainder when (-1)\/((-216)\/(-220) - 1) is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2203672 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.031 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.536 (b) 0.2 (c) -0.2 (d) 4\/9 (e) -2 (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*f + 514 - 1034 + 520.\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 7*v**2 - 4 + 4 to the form z + n*v**2 + a*v and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 + 155. Is t a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bb7 (base 16) in base 15?\nAnswer: d4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -569\/78 + 97\/13. Let r be 9\/22*(-4)\/3. Which is the nearest to i? (a) -0.5 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13032139 to the power of 1\/2, to the nearest integer?\nAnswer: 3610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/((-3)\/78). Let y(t) = -t**3 - 12*t**2 + 4*t + 27. Calculate the smallest common multiple of y(g) and 3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*w, -2*v + 3*v = 3*w. Suppose -7*o - 2 + 23 = w. Suppose -o*b + 85 = 5*y - 220, 0 = 2*b. Round y to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (0 - 0)) + -1 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6.3 (b) -2871 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/135)\/((-58)\/145)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k. Let n be (-1)\/(111\/(-54) - -2). Let v = -13 + n. Let d(y) = v*y - 5*y + 0*y + 6*y**2. Determine i(d(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(39)\/sqrt(3) - ((sqrt(13) + -2)*1)**2.\nAnswer: -14 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2. Let i(p) be the second derivative of 0 + 34*p + 0*p**2 + 1\/12*p**4 + 0*p**3. Determine i(v(b)).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3528, -3531, -3534, -3537, -3540?\nAnswer: -3543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*c = -3, -c = 714*v - 719*v - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 20651421*q**2 - 5*q + q.\nAnswer: 20651421*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 - 4)*(-351*n - 531*n + 1535*n).\nAnswer: 2612*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -991 - -1080. Let a(j) = 47*j**2 - j + 2. Let l be a(2). Let z = l - p. Does 37 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -29 - 4\/3*g**3 + 1\/2*g**4 + 1\/2*g**2 - g. What is p(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 127 - (16 - 43 - -16). What is the highest common divisor of 437 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 42.92097*-24\nAnswer: -1030.10328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500363421.\nAnswer: 3, 2003, 83269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3839669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 11*c**2 + 11*c. Suppose 6*k = 3*k - 33. Let h(a) be the first derivative of a**4\/4 + 2*a**3 + 3*a**2 + 34. Give k*h(t) + 6*d(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 616 = -8*p. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 7:34 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 93325 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 6*s + 6. Let t(h) = 2*h**2 + 12*h - 13. Let v = 78 - 43. Let a be 84\/v + (-2)\/5. Let u(w) = a*t(w) + 5*q(w). Give u(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w + 0*w)*((-30 + 0 + 3)*(0 + 4 + 10)*(-1 + 4 - 1) + 1 + 5 - 3).\nAnswer: -1506*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 3*j + 4. Let p(z) = 3*z**2 + 7*z - 9. Let v(t) = 3*t - 42. Suppose 17 = d + 2*s, 3*d = -s + 48 + 3. Let i be v(d). Give i*f(n) + 4*p(n).\nAnswer: 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {u: 4, z: 1, v: 3, m: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 929456?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 4, f: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44899 and -0.11?\nAnswer: 44899.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - n + 2)*(-340*n + 1659 - 1659) in the form u*n**2 + a*n + g and give u.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31553896 and 592?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 less than -0.15?\nAnswer: -111.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 3, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1772.\nAnswer: 8860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 a factor of 33154303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c*d**3*i + 1460*c*d**3 + 4333*c*d**2*i - c*d**2 + 2*c*i wrt i.\nAnswer: -3*c*d**3 + 4333*c*d**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2445 + 2463. Which is smaller: 22 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*i - 113*i + 9 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:25 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Suppose u = 5*a - 2*u - 18500006, 0 = -b*u - 6. What is a rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9)*q*q**(3\/5)*q)**40)**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 11*l**2 + l - 11. Let m be a(11). Solve 0 = t + 1 - m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z + 2*n = 48, -16 = -z - 2*n. Calculate the remainder when 31 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1028779, 8230004, 27776123, 65839582, 128592827, 222208304, 352858459?\n\"Answer: 1028741*o**3 + o**2 + 35*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1\/2*6. Let z(c) = 97*c - 482. Let y be z(5). Let q be (-39)\/12 + (p - 4) + y. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06472 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 938083*a\/3 + 17824660.\nAnswer: -(a - 57)*(a + 938140)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -239331.\nAnswer: 2\/79777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/33162 and -41\/87.\nAnswer: 961698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 74a20 (base 11) to base 9\nAnswer: 175518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -9*y - 57. Let g be (6\/10 - -2) + y\/(-25). Suppose 0 = g*t + 16 - 31. Solve 4*c - 2*i - 16 = 0, t*c - 3*i + 8*i = 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 246, 247?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*-5 - sqrt(1539)) + 3)**2 + (-1 + sqrt(1539))*1 + 3.\nAnswer: -315*sqrt(19) + 55415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 82 = 12*r. What is the remainder when (-6)\/75 - (-11862)\/150 is divided by r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-164)\/(-8) + -5 + 1\/(-2). Let z = 20 - i. Solve 2*y = z*d - 11, 4*d - 2*y - 4 = 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g = 33*g - 4*b + 68, -6*b + 25*b - 26 = g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1142 + -1136.93. Let u = h - 0.07. What is the nearest to 0.1 in -1, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 0. Let d = 1 - l. Let a = 9 - 8.5. Sort d, 1, a.\nAnswer: d, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 14923.431?\nAnswer: 14923.431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/50 and 27\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 103 = 5*i + 22, 4*w + 42 = -i. Let n = i - -38. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 0.8. Let f = n - -2.2. Which is the biggest value? (a) -3 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28871 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 10*j - 65 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 498.9405 + -499. Let f = -0.3275 + v. What is f rounded to 2 dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000248664 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 574, 1146, 1718, 2290, 2862?\n\"Answer: 572*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5120 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*m - 8 = -m, 5*m = 2*r - 4. Suppose r*u + 4*o = 12, -2*o - o = 3*u - 27. What is the greatest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -23*p + 7083. What are the prime factors of p?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3055165.\nAnswer: 5, 611033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 122954 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4 - 0. Factor 0*n**i + n**2 + 2*n**2 - n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -7*v**2\/2 + 33*v - 15. Is s(-21) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 8*f + 5. What is v(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1\/184858 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 80, 102, 124, 146?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p + 4. Let u be o(-1). Let w = 3\/442 - 9297\/2210. Is w < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2672589483 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -23, -1, 41, 109, 209, 347, 529?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 d when four letters picked without replacement from eegbxexggdggbxgb.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4951812ng to tonnes.\nAnswer: 0.0000000000000004951812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252445 is divided by 314.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100721 is divided by 4657.\nAnswer: 2924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + 2*(-4 + (sqrt(243) - (1*sqrt(243) + -3)) - -2*(sqrt(243) + (sqrt(243) - ((sqrt(243) - (-1 + sqrt(243)*-2)) + sqrt(243)))))))**2.\nAnswer: 1008*sqrt(3) + 15601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 59110944?\nAnswer: 1\/29555472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28421, -1, -2, 132 in increasing order.\nAnswer: -28421, -2, -1, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -5. Suppose 3*h - 3*z = f*h - 19, 0 = -2*h + 3*z + 5. Solve 0 = 3*k + 1 - h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -35. Suppose u + 2*u - 5*s = p, -20 = 5*s. What is the least common multiple of u and 12*1*(-2)\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 5 + 3*o**3 - o**3 in the form s*o**3 + u*o + g*o**2 + p and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-14)\/28)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-105))\/((-1)\/((-7)\/6*4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/144*24\/(-56)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34632\/(-90576)*-6*4\/(-104).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:42 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utuuutuuutuuuum. Give prob of sequence ttt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8463?\nAnswer: 3, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -0*y + 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2030421 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 98942, 99002, 99112, 99278, 99506, 99802, 100172, 100622?\n\"Answer: r**3 + 19*r**2 - 4*r + 98926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*s - 1673 + 214 = -9*s + 194 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**3 - 5*k**3 - 13*k**3)*(0 + 2 - 1)*(12 - 50 + 26) in the form o*k**2 + z + g*k + l*k**3 and give l.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*x - 117*x + 70. Suppose -3*r + x + 1 = 0. Solve 0 = 5*q + 15, q = -r*f - 2*q - 29 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-61)\/(8540\/(-240)))\/(15\/(-140))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 16*l**2. Let i(v) = 32*v**2 + 23*v**2 - 61*v**2. What is x(i(b))?\nAnswer: 576*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-18)\/10)\/(46\/(-1380)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8384 - 8384 - 27*f**2. Let z(k) = 11*k. Determine w(z(b)).\nAnswer: -3267*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8151 and 61417044.\nAnswer: 675587484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*v - 9775994, -2*v + 7444190 = -3*b - 2331792. What is v rounded to the nearest one hundred thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -12, -2, -28, 0, -76, 3 in descending order.\nAnswer: 3, 2, 0, -2, -12, -28, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 2*w - 10. Let n be ((-2)\/(-5))\/(16\/10). What is the nearest to w in -0.4, n, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50599368 rounded to 4 dps?\nAnswer: -0.506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 24. Solve -2*p + 1 = -t - 4*p, a*t + 4 = -4*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 - -84.4. Sort -5, 1.8, 2, q.\nAnswer: -5, q, 1.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/2)\/((q*q*q\/(q\/(q**(1\/5)\/q*q)))\/q)*q**(-6)*q*q**(5\/7) assuming q is positive.\nAnswer: q**(-349\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 36. Let n = -4324\/6477 - -2\/2159. What is the closest to n in g, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1366\/105 + 502\/35. Let a(s) be the first derivative of -12*s - g*s**3 + 14 + 0*s**2. What is the first derivative of a(f) wrt f?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.477253 tonnes to milligrams.\nAnswer: 477253000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -114 (c) -30 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26 and -315330?\nAnswer: 315356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + o = -1 + 3, 5*o = 0. Let a(s) = -18*s**3 + s**2 - s - 1. What are the prime factors of a(d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddxo when four letters picked without replacement from xoodoxxddxo.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 401.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**3 + 3*p**2 + 2*p + 3. Let l be y(-2). Calculate the least common multiple of 10 and (l\/52)\/((-2)\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*r**3 - 3*r**2 + 3*r - 19?\nAnswer: -216*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 567\/12*(113 - 21)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 - 50 - (-48)\/5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 3*r - r)*(67 - 67 + 3*r**4 + 2*r**3).\nAnswer: 9*r**5 + 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 45 + 75)*(-3*v + 2*v + 2*v)*(3*v - v - 4*v).\nAnswer: -186*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -5169778?\nAnswer: -2067911.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1594?\nAnswer: -1\/1594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 241661180 to the nearest 100000.\nAnswer: 241700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -26 + 5. Solve l*j + 0*j + 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22179 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 = -6. Suppose 2*l + h*l + 20 = -5*j, 0 = l + 5*j. List the prime factors of ((-4)\/10)\/(1\/l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 609406 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 1. Let z be f(4). Suppose 0 = 3*y + z*l - 171, -32 - 281 = -5*y + l. Round y to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.9 - -4.78. Let t = -2683\/12276 - 5\/1364. Put t, -0.06, p in decreasing order.\nAnswer: -0.06, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.02 - -0.02. Let x = 12 + i. Which is the closest to x? (a) -1 (b) -2\/17 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 - -247\/3. Let v = -24301\/12 + 7783\/4. Do v and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11101100 (base 2) to base 14\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -5 (c) 0.25 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -81.8. Let d = 0.088 + -14.788. Let y = d + b. Round y to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2641*v = 3282*v - 5769 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -595, -2361, -5297, -9397, -14655, -21065, -28621?\n\"Answer: u**3 - 591*u**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmo when three letters picked without replacement from {o: 1, k: 1, d: 1, q: 1, m: 1, l: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**5*f - 3*b**4*f**3 - 2*b**4 + b**2*f - 112*b*f**3 wrt b?\nAnswer: 60*b**2*f - 72*b*f**3 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 470*m + 280. Determine z(-1).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 5*f**2 - 5*f + 4. Let c be v(4). Suppose c = -3*q + 4*d + 22, -2*d = -2*q + 7*q - 54. Solve m + 2 = -b + q, -2*b - m = -11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 3*g**2 + 2*g - 1. Let k be p(4). Suppose 4*m - 16 = 0, -92 = 4*y - m + 128. Let x = k - y. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 64 = -0*m. Let q be m\/9 - (0 + -2). Let s = -9 - -7. Sort q, 0, s in descending order.\nAnswer: q, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 5:14 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/49, -2, -4?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, f: 1, a: 1, s: 4}. Give prob of sequence oao.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10100110111 (base 2) to base 5\nAnswer: -20320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 15. Suppose 6*k - 2*k = -28. Let n be g(k). Find the third derivative of 6 - 2*s**4 - 9*s**2 + 3*s**2 - n wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 - 114. Let a be z\/(-16) - ((0 - -1) + -2). Let i be 0*(a + 5 + -3). Solve -l + 1 = q, -4*l + 5*q + 3 - 17 = i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l. Let p(f) be the second derivative of -109*f**4\/6 + 2810*f. Give p(o(u)).\nAnswer: -1962*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 92. Let b = 136 + o. Calculate the highest common factor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*d + 26235 = 847*d - 27*d - 6385 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -5. Suppose 0 = u - 2*u + 31. What is the remainder when u is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459750433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 17*b**4\/6 - b**3\/3 + 65*b**2\/2 + 3*b - 1. Find the second derivative of y(c) wrt c.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*w = 0, 0*v - v - 4*w - 3 = 0. Suppose -v*z - 29 = 5*q - 129, -2*z + 2*q + 48 = 0. Solve -2*o + 4*o + z = -5*g, -11 = 3*o + 2*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 159*h - 4740. Give f(-38).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1354675 and 336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2644*c + 69619. Determine j(26).\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294829 + p - 5*p - 285189.\nAnswer: -4*p + 9640","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -352 + (-4 - (-14 + 4)). Suppose 9*d - 7*d + 96 = 0. Let m = d - j. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/8))**(2\/141) assuming m is positive.\nAnswer: m**(1\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 8 + 1. Suppose -3*b + 0 = -21. What is the remainder when b is divided by (i\/(-6))\/(2\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - w**2 - w - 1. Let l(i) = i**2 + i + 1. Suppose 100 = 4*z - 4*f, -4*z + 4*f = 2*f - 90. Suppose 10*a - 10 = z. Give a*b(s) + 3*l(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3. Let o(a) = 4. Let l(r) = -5*o(r) - 7*s(r). Let g(y) = -y - 1. Let f(u) = g(u) + l(u). Let c(t) = -5*t. Give c(h) - f(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*(2*sqrt(153) + sqrt(153)) - 6*2*sqrt(153))\/(2*(1*sqrt(441) + sqrt(441))).\nAnswer: 15*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12346 + 19853. Let q = -7506.5999 + s. Let g = q + -0.4. Round g to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -32755.\nAnswer: -2292.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, c: 6, m: 2, l: 1, e: 5, u: 1}. What is prob of picking 4 c?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1300 - 1297. Solve -2*v + 4*u = -4, -7 - 18 = 4*v + t*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, w: 3, q: 1, a: 1}. Give prob of picking 4 b.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/307? (a) 5\/2 (b) 3 (c) 169 (d) 6.7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 52\/4) + 4. Let u(k) = 2 + 2*k - 5*k + 2*k. Let q(j) = j - 2. Determine b*q(y) - 5*u(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 3. Let h(p) = p**3 - 4*p**2 + 2*p - 4. Is 4 a factor of h(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5635599 + -2.38.\nAnswer: 5635596.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 10*q = 1341 - 1377, -7*m + 4*q + 95 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by 635831.\nAnswer: 25\/90833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*n + 332410 - 38490 = 33*n. Calculate the highest common divisor of 66 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -99*t - 12442. Give y(-136).\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1384, -2, -107 in ascending order.\nAnswer: -1384, -107, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -15*h**3 - 9*h**2 + 9*h - 36. Let i(o) = o**2 - o + 4. Calculate -c(d) - 9*i(d).\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 u, and 1 r when four letters picked without replacement from {r: 5, t: 1, q: 5, u: 5}.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/2 of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1513.9 - 1315. Let g = x + -199. Is g >= -2\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*n + 16, 0 = 4*k + 4*n - 4 - 12. Suppose -2*i + 2 = -k*i. What are the prime factors of -4 - -52 - (-2 - i)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179 - -179. Suppose -8*g + 56 + 24 = p. What is the smallest common multiple of 90 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + a - 2. Let m be f(-2). Suppose 7*u = -2 + 30. Solve u*s - m = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -521815*x + 628385 with respect to x.\nAnswer: -521815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11286 divided by 1254.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = -4*g + 2*h, 0*g + 2*h = 3*g - 324. What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130*y**6 + 470*y**5 + 6*y**3 - 79217*y**2 + 20*y wrt y.\nAnswer: 15600*y**3 + 28200*y**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -229*z - 10535. Let n be h(-46). Is -1\/18122 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or 29\/4?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -810119820 rounded to the nearest one million?\nAnswer: -810000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119330947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:40 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107645 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2. Let y(a) = 11*a - 6. Let z(m) = -5*m - 2. Let w(u) = -5*u - 3. Let j(k) = 5*w(k) - 6*z(k). Let f(b) = 13*j(b) - 6*y(b). Give f(v(d)).\nAnswer: d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzffnkkzfzz. Give prob of sequence zknk.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 177, 183, 193, 207, 225, 247?\n\"Answer: 2*z**2 + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.252, 14\/87, 50?\nAnswer: 14\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -6. Let i be (-18)\/(-6) - (b - 1). Suppose -i*t + 6*t = 3, 5*t - 135 = -5*j. Calculate the greatest common divisor of j and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 156*x - 160*x - 88 = 0, p - 42 = x. Solve -8*j = -0 + p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 568, 2095, 5054, 9919, 17164?\nAnswer: 27263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)*m*m*m**6*(m*m**(-2\/15)*m)\/(m**(2\/3)*m))**(2\/27) assuming m is positive.\nAnswer: m**(14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31297 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23\/61 - -8\/183. Let d = -0.4 - -0.42. Let i = d - 3.02. What is the nearest to x in 4, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from oopiiihhononinohosp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 165 - 1556?\nAnswer: -1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*o + 20, 7*o = 2*o + 25. Suppose -l*z + 208 = -122. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*l - 3*l + 3*u, 0 = 5*l - 5*u - 95. Suppose -2*t - l = -3*t. Let f = -13 + t. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 11*t**3 + 11*t**3 + (2*t - 2*t - t**5)*(-2 + 4 - 4) + 2 + 2*t + 4*t**5 - 2*t.\nAnswer: 8*t**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**5*m - 3*h**2*m + 2*h*m + 114*m wrt h.\nAnswer: -60*h**3*m - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 355443 and 161565?\nAnswer: 1777215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 80685770 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -w. Suppose w = 5*p - 7 - 13. Solve -3*u = 4*x + 14, 5*u + 10 = -p*x - 0*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22001 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*(h**(1\/6)*h)\/h)\/(h**(-1\/4)*h))**15 assuming h is positive.\nAnswer: h**(145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctu when three letters picked without replacement from quddbct?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, i: 12}. Give prob of sequence iiii.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169 - -239. Let s = j + -23. Does 47 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6*12\/16)\/(378\/924)?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3392*t - 20338. Let i be s(6). Solve 0 = 4*j + 2*h + i, 10*j - 20 = 11*j - 5*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4680)\/10530)\/((-2)\/9). Factor -25\/3*q - 5\/3*q**5 - 25\/3*q**4 - 5\/3 - 50\/3*q**3 - 50\/3*q**t.\nAnswer: -5*(q + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, h: 1, z: 5, v: 5}. What is prob of sequence vv?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 46050426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c (base 13) to base 6.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = -4*q, 3 = -5*o + q + 4. Suppose o = 6*z - 11*z + 10. Solve -3*n + z = -r, 0 = 2*r - 0*n - 3*n - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 8*n = -106. Suppose 4*h = -4, -4*a + h - n = -h. Let c = a + 39. Which is bigger: 13 or c?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*j**2*r**3 + 3*j**2*r + j*r**2 - 7*r wrt r.\nAnswer: -324*j**2*r + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12762 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0323 + 0.4753. Let n = -0.043 + v. Let r be (3\/2)\/3*2. Which is the closest to -0.1? (a) r (b) -7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.145 (b) -4 (c) -0.01 (d) 0 (e) 1 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-2 + (1 - 1)). Let k be -1 - ((-44)\/18 + 1) - 112\/576. What is the smallest value in k, -0.4, 0.1, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.1 - 1.1. Which is the nearest to 0.1? (a) -5 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, -91, -186, -317?\n\"Answer: -18*q**2 - 5*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -571347.37999928 - -571349.38. Let t = -0.9 - -2.9. Let l = t - b. Round l to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = 5. Suppose -2*l + f*l - 6 = 0. Suppose 2*t + l*t - 24 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 2819503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g + 2. Let w(i) = i**2 + 7*i + 6. Let k be w(-7). Suppose -2*z = -6 - 2. Let o(s) = z - 4*s + 13*s - k*s + 12*s. Calculate 13*h(q) - 6*o(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21707?\nAnswer: 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l - 3*l)*(2 + 3 - 4 + (1 - 1 - 2)*(1 + 2 - 5) + 5 + 2 - 1).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2410 divided by -6\nAnswer: 1205\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 3803 + 3804 + 3803 - 11410.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/9205 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 - 3*846\/432\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2060 divide 2127212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 221, -0.08, -2.781?\nAnswer: -2.781","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 + 16028*n + 399450 = 0. Calculate n.\nAnswer: -7989, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + (-1*sqrt(72) + -3 - (sqrt(2) - (-1 + sqrt(2)))*5*-4))**2.\nAnswer: -240*sqrt(2) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/20 + 8\/5. Suppose -2001048 = -m*p + 15598952. Round p to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202 + 110. Let k = d + 92.3. Let g be ((-2)\/10)\/(2\/(-4)). Does k = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5454 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(8)\/sqrt(4) - (5*sqrt(2) + -4)) + sqrt(10)\/(sqrt(50)\/sqrt(10)) + -1*(sqrt(2)*-2 - sqrt(2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*z = -236*z - 13 + 37 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 59, 0, 5 in descending order.\nAnswer: 59, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -2 - sqrt(147))**2*4*3 - (1 + sqrt(24)\/(sqrt(8) + 1*(-1*sqrt(8) + sqrt(8)))).\nAnswer: -sqrt(3) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12663 - -13177. Calculate the greatest common factor of 8 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -1\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 9:21 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/15 and -94\/1906369485.\nAnswer: 1906369485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/11 - 34\/66. What is the closest to i in -2\/11, -2, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1145, -0.3, -1, -2\/11, 2 in decreasing order.\nAnswer: 1145, 2, -2\/11, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 h when four letters picked without replacement from hrhjrhjhjrrhr?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1 + 6 - 3 - o. Determine k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 43818, 0.1?\nAnswer: 43818","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2106459, 4212916, 6319369, 8425818, 10532263, 12638704?\nAnswer: 14745141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 42. Let b be m(21). Let h = b - -7. What is the least common multiple of h and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1576)\/176 + ((-288)\/(-8))\/4.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - b + 40. Let d be i(0). Let h be (10\/d)\/((-1)\/(-92)). Suppose -3*z - 5*g = -3 - 17, -5*z = -2*g - h. Solve 0*w - w + z = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 6*m - 10*m)*(3 - 1 + 2)*(-11*m + 11*m - 11*m**4).\nAnswer: 264*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, p: 16}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06066 rounded to 3 decimal places?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44418108?\nAnswer: 2, 3, 7, 75541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 3*h**4 + 3 + h - 24*h**4 + 20*h**4 - 2*h to the form a*h**2 + m*h + l*h**4 + b*h**3 + s and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 0, -k + 10*k + 2*z + 9 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (6 - 0) + -1. Let w = m + -11. Let a be (-9)\/w + 54\/3. Solve -1 + a = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 2*u**2 - u + 9. Let r be b(-3). Find the third derivative of -3 + r - 32*q**2 + 20*q**2 + 20*q**4 wrt q.\nAnswer: 480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -11. Suppose -2*x = -0*x - 2*b - 50, -5*b = 25. Calculate the remainder when x is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11895 and 651?\nAnswer: 2581215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3\/9 - 304558*y**2 - 156524805008*y\/3 + 234787892768\/9 = 0.\nAnswer: -342628, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*n = 0, -3*d + 4 = 3*n - 4*n. Solve -w + d = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -95*9*(-8)\/360. What is the greatest common divisor of 6498 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7141075834?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/18 + 1720\/60. Let m be (-9)\/6*(-1 + -57). Calculate the greatest common factor of l and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*h - 54 - 26 = 0, -2*h = 0. Let i(q) = -3*q - 7. What is the remainder when y is divided by i(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 9 + (164\/(-12) - -6). What is the biggest value in 235, 2, r?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*3*(sqrt(76) + 1) - (3*(1 + sqrt(76)) + sqrt(76) + -3 + sqrt(76) + -1*sqrt(76) + sqrt(76))**2)*-6.\nAnswer: -216*sqrt(19) + 11292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m = -74 - 51. Sort m, 8, 2, -12 in ascending order.\nAnswer: -12, 2, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 + 4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-26) + 102020\/(-26). What are the prime factors of 1\/3 - i\/54?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*l + 18196 = -183*l - 214 for l.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 643 - 336. Let m = v - 5217\/17. Is m less than or equal to -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 237 = 2*v - 0*q, 0 = 3*v + 5*q - 338. What is the highest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*b**2 - 77159882*b\/5 - 183714\/5 = 0 for b.\nAnswer: -91857, -1\/420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5. Let y(g) = -g + 11. Let n(o) = -5*d(o) + 2*y(o). Let a be n(-4). Put a, -2\/5, 0 in ascending order.\nAnswer: -2\/5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12846730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + 1 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.8 (b) -601 (c) -2\/9 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 3 in descending order.\nAnswer: 12, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 916550942 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -79049047?\nAnswer: 79049046.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*n + 8*n + 15402. Let s = n - -456. Sort 2, 5, s, -2 in descending order.\nAnswer: 5, s, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**4\/4 + 2*l**3\/3 - l**2 - 25*l + 1882. Let z(m) = 2*m**3 - 5*m**2 + 5*m + 51. Determine -5*q(h) - 2*z(h).\nAnswer: h**3 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28164809.\nAnswer: 28164809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (-205)\/65 - 1. Sort 2\/5, c, 0.3 in increasing order.\nAnswer: c, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 6*l**2 - l - 14. Let g be q(8). Is 13 a factor of (-16)\/(g\/(-34) - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 10222192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((3*sqrt(156))\/sqrt(12))**2 + 1).\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 3*m**2 + 3*m**2)*(m - 4 + m**2 + 4).\nAnswer: m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2045 - 11?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 236.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2587, 2525, 2463?\nAnswer: 2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:42 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.31 - -0.03. Let h = -1.28 - o. Which is bigger: h or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 2 - 5*v**2 - 9*v**2 + 15*v**2. Determine s(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 330722?\nAnswer: 330722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q + 10. Let f be ((-1)\/(-1))\/(5\/45). Suppose -3*m + 24 = -f. Let b(d) = -1 - 1 - 2*d + 0. Determine m*b(l) + 2*v(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/7 + 1 + 30\/189.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1331)*3)**2 + 4)*-3.\nAnswer: -143760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -3, 4\/41, -1, -0.3?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*q**2 + 29*q**2 - 264*q**2 as o + t*q + i*q**2 and give i.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0.652?\nAnswer: -5.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 16*q**2 + 17*q + 34. Let u(v) = -2*v**2 - 2*v - 4. Let z(s) = 6*a(s) + 51*u(s). Let n(j) = -2*j**2. Calculate n(z(g)).\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 3 = 3*h. Let l = h - -1. Let s = -1635 + 1637. Solve c - s*a = -c - l, 3*c + 3*a - 18 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136 - (137 + (-14120)\/14200)\nAnswer: -2\/355","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from {m: 1, l: 3, g: 1, h: 5, z: 3, q: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, v: 5}. What is prob of picking 3 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (38\/(-4) - -12)*16\/10. Calculate the greatest common divisor of w and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 71. Let d(k) = 15*k + 223. What is the remainder when d(-8) is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -19 - -3) + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4720534 years in decades?\nAnswer: 0.04720534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1778902.\nAnswer: 2, 179, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(128) - sqrt(128)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55219 is divided by 13804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/60 + 10*b**2. Let t(a) = 25*a**2. Determine u(t(d)).\nAnswer: -625*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 60 + 132 = m, 5*x - 940 = -m. What is the highest common divisor of 68 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(1\/5)*s**(-1\/3)\/s*s*s**6*s assuming s is positive.\nAnswer: s**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -492*m**3 - 24*m**2 + 2874. Let b(d) = -328*d**3 - 15*d**2 + 1916. Let z(q) = 8*b(q) - 5*n(q). What is the derivative of z(v) wrt v?\nAnswer: -492*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*m = 242787, 0 = 2*i - 17*m + 13*m - 242832. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (10 - (-13 - -25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -377, 10 in increasing order.\nAnswer: -377, -6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51921 and 10179?\nAnswer: 19574217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4327*h + 4192*h - 318*h**3 + 6*h**3 wrt h.\nAnswer: -1872*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*o**5 - 10 - o**2 + 11 + 8*o + 15*o**5 wrt o.\nAnswer: -200*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 685.14 + 0.4.\nAnswer: 685.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73114024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-5.7.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 769 - 747. Let -2 + 25\/2*p**2 + k*p**3 - 4*p + 15\/2*p**4 = 0. What is p?\nAnswer: -2, -1, -1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 11*v**2 + 1 - 2.\nAnswer: 13*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/250*(-10)\/38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -13. Let o = -2379 - -2478. Calculate the greatest common divisor of o and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007157405 to 6 dps.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -64, 2\/19, -0.039945?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7487594.\nAnswer: 2, 3743797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, 4, -3\/22, 63.4?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1. Let m(c) = 42 + 36 - 83 - 4*c. Give m(h) - 6*t(h).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 544 by 4.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (204\/170)\/((-6)\/(-20)). Solve 4 = 5*r + 3*v, 0*r = 2*r - c*v + 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 2*m**2 - 4 + m**3 + 0*m**2 - 4*m**4 as h*m + d*m**2 + a*m**4 + l*m**3 + v and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-2\/27)*g*g*g))**48*g**(-4\/5)*g**(-11)\/g assuming g is positive.\nAnswer: g**(-4736\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 5)*2*2\/10. Let j(w) = 73*w + 3*w**2 + 18 - d*w**2 - 56*w. Let y be j(-16). Which is greater: y or 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 32. Let u = 13.000045 - n. What is u rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*b = 78*b + 45730. What is the closest to b in 0.28, -0.5, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10791787057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 200330 >= 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (-26 - (-35 - -11)). Solve 16*u = 20*u + 5*k - 21, -m = -4*u - 2*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-69))\/(35\/84*248\/155).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 361 from 1.7730962.\nAnswer: -359.2269038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85774.6798 - 85928.67980106. Let f = d + 154. What is f rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.8. Let m = 25 - 22. Which is the third biggest value? (a) u (b) -2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 35*t - 39 = -38*t, -3*a - 5*t = -33 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 31\nAnswer: 38\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 n, 1 i, and 1 c when four letters picked without replacement from {l: 3, i: 1, f: 6, c: 1, z: 2, n: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**5\/3 - 20*g**4\/3 + 8*g**3 + 16*g**2\/3 - 32*g\/3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 5*r + 0*r - 3*r + r + 4*r + (0*r + 5*r - 4*r)*(1 - 5 + 6) - r + 3*r - 3*r + 0*r - 2*r + 0*r + 13 - 13 - 15*r - 4*r + 3*r + 2*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 4*h + 1472 - 1470 - 3*h**2 to the form d*h + j*h**2 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1806 * -29.437\nAnswer: -53163.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.9528 - -0.0372. Let l = -0.01 - f. Let v = l - -5.4. Round v to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f + 1. Suppose 92 = -v + 90. What is r(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2192*w**4*y**3 - 6*w**4*y - 2*w**2*y**3 - 4*w*y**3 - 38*w*y + 1 wrt w?\nAnswer: 52608*w*y**3 - 144*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, m: 5}. What is prob of sequence ttt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708059099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 6:13 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((sqrt(102)*-2 + sqrt(102))*-6 - sqrt(102)) + -1*(sqrt(102) - sqrt(102)*-1) + sqrt(102))\/(-6*sqrt(54) + sqrt(6) + -3*sqrt(150)))**2 + 0.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*p)*(27101 + 1095*p - 27101)*(-3*p + p - 6*p**3 - 3*p**3).\nAnswer: 19710*p**5 + 4380*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and 3.17373?\nAnswer: 69.82206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 10. What is q(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -329 + 340.26. Let v = h - 11. Let d = v - 0.16. Which is bigger: 2\/5 or d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1687 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (3\/3 + -34). Suppose 3*l + 4*i - 84 + w = 0, 2*i - 49 = -3*l. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 (base 7) in base 3?\nAnswer: 22212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -55. Let t be -2*(f\/(-3) + 2\/(-6)). Solve -t = -2*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(468) + (1*sqrt(468))**2)*-4.\nAnswer: 72*sqrt(13) + 5616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 22 + 113. Suppose 0 - x = -5*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 832. What is the remainder when o is divided by 13 - 9\/(-9)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**3\/3 - 6*j + 8. What is the tens digit of f(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16874962339 rounded to six dps?\nAnswer: 0.16875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -6*t + 3*t - 45, -5*u + 54 = 2*t. Calculate the remainder when ((-18)\/(-12))\/(1\/u) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1036*l**5 + 534*l**2.\nAnswer: -62160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(684) + -1) + -4 - -3*(sqrt(1539)*2 - sqrt(1539))*4*1)**2.\nAnswer: 1344*sqrt(19) + 134128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51, -109, -193, -315, -487, -721, -1029, -1423?\n\"Answer: -2*s**3 - s**2 - 41*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 - -0.65. Which is the nearest to -2\/3? (a) z (b) -11 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 109*a**2 - 426*a - 1726. Let l be p(-4). Calculate the greatest common divisor of l and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**3 - 9*f**2 - 9*f. Let a(c) = 4*c**3 + 4*c**2 + 4*c. Let b(k) = -5*a(k) - 3*q(k). List the prime factors of b(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -17*c + 1000. Give l(58).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, e: 7, s: 4}. What is prob of sequence mee?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -11*y**7\/210 + y**4\/12 + 4*y**2 + 6. Let u(a) be the second derivative of i(a). What is the second derivative of u(z) wrt z?\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847386 (base 9) to base 15.\nAnswer: 9e540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/42 and -139\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 24*t = s - 44, 5*t = -5*s + 210. Solve -16*l - 125 = -s*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 5*b + 1\/3*b**2 + 2\/27*b**3 - 1\/54*b**4 + 0. Factor g(w).\nAnswer: -2*(w - 3)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 12 = -8*x. Let f(q) = -q**3 + q**2 - q + 2. Let h be f(0). What is the units digit of 3*(1 - h\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -758302, -758306, -758312, -758320, -758330?\n\"Answer: -z**2 - z - 758300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188 and 235.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 + 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.8 and -17880?\nAnswer: 17881.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*4\/(-6)*447795\/186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 34.3. What is the second biggest value in w, 34, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12984645 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 6*r**2 + r - 10. Let d be q(5). Calculate the smallest common multiple of 2 and (d\/(-14))\/((-2)\/28).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 + (1 - -1) - (318 - 315)) + 13 + 11.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*g - 43 = 2*g, 2*g = 2. Let v = -551 + 552. Calculate the highest common factor of y and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.088644 rounded to three dps?\nAnswer: -2.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5722699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - z + 28, -4*x = -0*x + 4*z + 8. Which is the smallest value? (a) 2 (b) 10 (c) x (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - -6bcb25?\nAnswer: 6bcb33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 1a5?\nAnswer: -1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1278 - -533. Let p = 745.0413 + l. What is p rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7 and -339883.\nAnswer: -339882.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 8*y**3 - 4*y**3 - 2*y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7532\/5 or -1506?\nAnswer: -7532\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.5, -3\/8, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971821331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 86 = -2. Let g be (u\/(-3) - -2) + 2. Let y = 32 + g. What is the greatest common factor of y and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3202 is divided by 55.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1) + -9 + (-3 - -2). Round d to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3\/5 + 2589*y**2\/5 + 115005*y + 1408875 = 0.\nAnswer: -425, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447214919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12145 and -23.\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 23*c**3 + 13*c**2 + c - 6. Give o(-2).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 93. Suppose -5*y + 110 = -4*l, -5*y - l = -3*y - w. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 14*t**2 - 9*t + 22. Let a be f(13). Let p(h) = -11 - a*h + 20*h + 28*h + 25*h. Let y = 15 - 20. What is p(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48438, 96879, 145320, 193761?\nAnswer: 242202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 72, 181, 350, 585, 892, 1277, 1746, 2305?\n\"Answer: r**3 + 24*r**2 + 30*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(68) + -2)**2 + 4 + -4*(sqrt(1088) + 1 + -3)*1.\nAnswer: 64*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2447073.\nAnswer: 3, 271897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39, 57, 85, 129, 195, 289, 417?\n\"Answer: d**3 - d**2 + 14*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -109, -282, -577, -1024, -1653, -2494, -3577?\nAnswer: -4932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -10*c**2 + 6*c + 6. Suppose -9*u - 10 = -1. Let g(p) = p**2 - p - 1. Give u*w(r) - 6*g(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 6*l**2 + 19*l - 135. Give n(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -1960 + 5936*l + 6\/5*l**3 - 842\/5*l**2 = 0.\nAnswer: 1\/3, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 - m + 11. Let n(f) = -44*f**2 - f + 120. Let y(i) = -41*i**2 - i + 112. Let d(v) = 14*n(v) - 15*y(v). Determine -2*d(l) - r(l).\nAnswer: -l**2 - l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -50\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -196 + 195. What is the second smallest value in 1\/4, l, -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168347?\nAnswer: 168347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 123*o + 74*o + 3*o**2 + 49*o + 7807 - 2764 = 0?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/4)\/((-22797)\/3798 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 433*y + 4 + 423*y - 854*y. Calculate o(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 210 = 150. Suppose 0 = 3*a + 5*a - r. Suppose a*p = -5*d + 675, 3*d = 3*p - 2*d - 365. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-30)*205\/(-123)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2101?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -337 + 348. Which is bigger: 9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 2*k + 3*k + 1)*(2 + 94 - 30) + 13 - 13 + 6*k.\nAnswer: -60*k + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/((-1554)\/28))\/(7 - 1 - 1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (-1 + -3)\/(-1). Suppose j + m*j - 3 = 0, -o - 4*j = -10. Let g be ((-1)\/o)\/((-11)\/(-88)). Solve -b = 4*u + 7, -g*b + 2*u + 3*u = -35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 52287000*c. Let x(y) = -2*y**2. Determine w(x(s)).\nAnswer: -104574000*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/3024 and -43\/10.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4\/4 - 4*r**3\/3 + 11*r**2\/2 - 5*r - 3740. Give p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775.3418 centuries to millennia.\nAnswer: 77.53418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6473.12 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - p**4 - 2*p**4)*(-39*p + 66 - 65 - 17*p).\nAnswer: 224*p**5 - 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:32 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 + 6 - (6 - 3) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122681, -122752, -122835, -122936, -123061, -123216, -123407?\nAnswer: -123640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-2)\/(4\/(-26)). Suppose 9*r - 2*r = -182. Let l be (45 - -10)*r\/(-10). Calculate the highest common divisor of l and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024*o + 476*o + 349*o = 2786 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -1. Solve 0 = g - 4*g + p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 12*m - 5*s + 430261, -2*s = 4*m - 860498. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11825.887777 to the nearest one hundred.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*i + 155*i - 424*i.\nAnswer: -613*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168529415 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*i + 29 + 31 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 39*c + 2. Let w(k) = 5*k**3 + 6*k**2 + 2*k. Let j be w(-2). What is the tens digit of m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401201 to the power of 1\/2, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1216.99997258 - -1217. Round s to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(52)*3 - (2 + sqrt(52))*2) + -5 - ((-2*sqrt(520) + sqrt(520))*2)\/(sqrt(1000) + (-2*sqrt(1000) - sqrt(1000)) + sqrt(1000)).\nAnswer: -9 + 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 3*c - 3*c)*(6 - 1 - 4)*(-5 - 1 - 11)*(-1 + c + 1) in the form u*c + y + v*c**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/2234 + 22891\/16755. Find the common denominator of 3\/(-24)*(1 + 589\/15) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651.1549ml in litres?\nAnswer: 0.6511549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 3*a - 18, 14*a = -2*f + 12*a - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 4:12 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -70, -107, -146, -187?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -307092 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12897, 25786, 38671, 51558, 64453, 77362, 90291, 103246?\n\"Answer: a**3 - 8*a**2 + 12906*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -123, 0.04836, -1\/3?\nAnswer: 0.04836","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:41 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/1228 and 37\/1092.\nAnswer: 335244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 288\/180*(-2)\/((-4)\/5). Let z be (-10 - -4)\/(-12) - (-6)\/u. Suppose 15 = 3*x, -4*v + z = -3*x + 5. Calculate the lowest common multiple of v and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 23. Let f(o) = -229*o + 7794. Let i be f(34). Is (220\/p)\/((96\/(-126))\/i) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = n - 22. List the prime factors of 8*n\/((-8)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -10. Let x be (-2)\/v + 25\/6. Solve 3*j - 15 = -6*p + p, x*p - 2*j = -10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l - 3*l + 9*l. Let n(o) = 0*o**2 + 0*o**2 + o**2. Determine g(n(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -3 + 11 - (1 - 2)) + -18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5.7. Let r = g + 0.1. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h + 3*q, -4*h - 89 = -4*q - 141. What is the highest common divisor of 3 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11739705*p**4 - 8635990*p wrt p?\nAnswer: 140876460*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817569679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2843, 5689, 8535, 11381, 14227?\n\"Answer: 2846*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from ceeeeuuuuueuubbeuu?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3 - 15*h**2 - 14*h - 23. Let d(c) = c**3 + 5*c**2 + 5*c + 8. Let m(x) = -8*d(x) - 3*u(x). Let o = 5 - 3. Let q be 9\/(-2) - 1\/o. Calculate m(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/6 + 63*n**4 - 1535*n**3\/3 + 3466*n**2\/3 - 2057*n\/2 + 965\/3.\nAnswer: (n - 5)*(n - 1)**3*(n + 386)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0 + 1\/24*v**4 - 3*v**2 + 0*v - 1\/3*v**3. Calculate p(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12164911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6136, 12239, 18314, 24361, 30380?\n\"Answer: -14*l**2 + 6145*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 318*z**4 - 408*z?\nAnswer: 3816*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from uuoo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 - 162.021. Which is the smallest value? (a) 0.22 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 48 = -4*i. Suppose 5*l - 16 = l. Suppose a - 135 = -l*a. What is the remainder when a is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*n - 86 + 15 = 0, 3*h - 188 = n. Let q = -39 + h. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 8. Suppose w = -0*x - 2*x - 1, 0 = x - 3*w + 11. Let q = 4 - x. What is b(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -27*z + 581250, 58*z = 57*z - 2*q + 21513. What is the remainder when z is divided by 184?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180952245883 - 0.004?\nAnswer: 1180952245882.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 22 = -c, -3*c + 2*g - 14 = 7*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1e (base 16) to base 5\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 220 = -6*w. What is the least common multiple of 4*(-25)\/w + -1 + -2 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -274*g - 1057 - 39 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3550 and 216266.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2460*l - 7535. Let a(h) = -2464*h - 7539. Let s(k) = 5*a(k) - 4*n(k). Differentiate s(i) with respect to i.\nAnswer: -2480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01956657442423 - 0.5.\nAnswer: -0.48043342557577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -76. Let l = o + -42. Let i(t) = t**3 - 9*t**2 - 9*t - 4. What are the prime factors of i(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*r = 30, 0 = -5*c + 4*r + 57. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129\/82 + -3\/41. Let x = -0.34 + 0.04. Which is the third smallest value? (a) x (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*t + 4*g, 4 = 6*t - 8*t + 4*g. Let o(u) = -u**2 - 2*u + 2. Determine o(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51475\/13 - 3957. Calculate the common denominator of 1905\/27*(-6)\/(-20) and g.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*b + 11, 3*q - 6 = q. Let z be (-2)\/b + (-6)\/6. Is (-78)\/(-4) + 1\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1467646, 1467693, 1467740, 1467787?\n\"Answer: 47*r + 1467599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 0 + sqrt(5) + 4 - sqrt(5)) + (sqrt(35)\/(sqrt(7) - sqrt(112)))**2 - (2 + -6*(1 + sqrt(5))*5))*-5.\nAnswer: -155*sqrt(5) - 1465\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -32 + 933 + -894?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 + 0*j**4 + 0*j**4)*(0 + 1 + 8).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1539) - (sqrt(1539) + 0))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/3, 0.3, 3 in increasing order.\nAnswer: 0.3, 3, 25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 11:42 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2718*o**2 - 1. Let w(q) = -278*q. Calculate w(x(s)).\nAnswer: -755604*s**2 + 278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8571 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 m, and 1 b when three letters picked without replacement from {e: 1, m: 2, b: 2, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -240*l + 82*l + 75*l + 2 + 81*l. Let i(k) = -k + 7. Give c(i(x)).\nAnswer: 2*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 68112506270+98\nAnswer: 68112506368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from wcwcfweqddc.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 2 - 6 - s. Let x be d(-4). Suppose -2*h + x = 4*c - 0*h, 3*h - 16 = -4*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-49)\/(((z\/z**(1\/7)*z)\/z)\/z**(-1\/5))*(z**6\/((z\/((z\/((z\/z**(2\/11))\/z*z))\/z))\/z))**(-1\/15) assuming z is positive.\nAnswer: z**(-3881\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/10 + 28\/(-1155)*51.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.46 + -18.86. Which is bigger: f or -36?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 41*j - 6. Let b(t) = -t. Let q(v) = 6*b(v) + k(v). Let l be q(3). What is the greatest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344734.7 times 0.05?\nAnswer: -67236.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2. Let z(l) = 2*l**2. Give -6*s(f) + 4*z(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) 3 (c) 13 (d) 1\/50 (e) -2\/235 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(242)*1*4 - (sqrt(242)*-2 + -3)) + 1).\nAnswer: -132*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 940708*t**3 + 147488276640*t**2 - 7707884824855900*t - 7708032314073250.\nAnswer: 2*(t - 156785)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39077668433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1855?\nAnswer: -1\/1855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-40)\/8)\/5 - 0. Let f be ((-124)\/248)\/(z + 2 - 2). Solve 1\/2*d - f*d**2 + 1 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*25\/(-270) - (7 + 2 + (9 - 19)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*z = -12, -9*g - 14 = 5*z - 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by -4.\nAnswer: -141\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times 0.1?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 623734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3637*p**2 - 13*p + 20. Let z be c(15). What is z rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.4 and -81034?\nAnswer: 275515.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -13*o**3 - 20*o**2 - 2. Let x(b) = -19*b**3 - 30*b**2 - 3. Determine 7*g(u) - 5*x(u).\nAnswer: 4*u**3 + 10*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 491967990.77489 + -504690169.3248941. Let q = x - -12722085.55. Let h = q + 93. Round h to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.0437, -8, -2, 1, 0.3 in descending order.\nAnswer: 2, 1, 0.3, -0.0437, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -180630 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 12*w + 15. Let x be m(11). Find the third derivative of -65*r**2 + 28*r**5 - 2*r**5 + 4*r**5 - x*r**5 wrt r.\nAnswer: 1560*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:16 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*q - 9*q - q + 8*q)*(-145*q - 36*q - 43*q) to b + o*q + f*q**2 and give f.\nAnswer: 2464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8734 + 5319?\nAnswer: -3415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 767*u - 767*u - 26*u**3.\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minus 6618840217?\nAnswer: -6618840045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 451\/41 + (0 - -95)*90 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 + -8)*1 + 2. Which is the nearest to u? (a) 3 (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2821503 + 2821264.0246. Let p = 0.0246 - l. Let f = -238.9881 + p. Round f to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6059046 to the power of 1\/2, to the nearest integer?\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, 7868, 0, -1 in descending order.\nAnswer: 7868, 8, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5433275521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -55471 + 55471 + m**2 + 9*m**2. Let s(n) be the third derivative of 0*n + 0 + n**2 + 0*n**3 + 1\/24*n**4. Determine q(s(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/4 + 5*p**2\/2 - 25*p\/4 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13854535.\nAnswer: 5, 2770907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71285.\nAnswer: 5, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pihl when four letters picked without replacement from krrrihrlrpr?\nAnswer: 1\/7920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 878540 and 52?\nAnswer: 878540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -1. What is the third biggest value in 0.2, 0.4, 0.5, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -96*q**5 + 48*q**4 + 2*q**3 + 8*q**2 - 8. Let f(x) = -64*x**5 + 32*x**4 + x**3 + 5*x**2 - 5. Let v(h) = 8*f(h) - 5*p(h). Factor v(t).\nAnswer: -2*t**3*(4*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w + 2*w**2)*(2*w**3 + 8*w**2 - 8*w**2) + 5*w**5 - w**5 - w**5.\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + 18*f + 5. Let h be i(0). What is the greatest common divisor of 40 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16330 - 16327. Which is the third biggest value? (a) -2\/11 (b) p (c) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 - 2*x**3 + 4*x**3 + (0*x + 2*x + 0*x)*(4*x + 2*x**2 - 4*x))*(10 - 6*x - 10)*(-x - 4*x - 3*x)*(0 - 2 + 0).\nAnswer: -288*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*c + 197*c - 560 = 0. Solve y - c = -4*d, -16 = -4*d - 6*y + 2*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172583 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: Let v(y) = y**3 - 2*y**2 + y - 4. Calculate v(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17897519 times -3\nAnswer: -53692557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 27*c**2 - c + 2. Let m be s(-2). Let n be m\/49 - (2 - 0). Let g = -26 + 25.9. Is g bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**2 + 305*m - 310 = 0.\nAnswer: -62, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5*g - 12 + 1, 0 = -v - 4*g + 13. Sort -1, v, 0.6, 0.2 in increasing order.\nAnswer: v, -1, 0.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i + 3 = 0. Let b(n) = n**3 + n**2 - 2*n - 2. Let s be b(i). Let q = -2395\/7 - -343. Is q < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6987.161 + -6995. Round d to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234668 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*c = 241*c - 97*c + 3744 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 935, 1070, 1205?\n\"Answer: 135*x + 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**3 + 207*q**2 + 864*q + 876 = 0.\nAnswer: -2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40371593468 take away 0.1?\nAnswer: 40371593467.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 586\/11 + 21\/44. Let d = 54 - p. Determine s so that 0 + 1\/4*s**3 - 1\/4*s + d*s**2 - 1\/4*s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 5*b**2 + b + 7. Let o be r(-5). Let y(d) = -3*d**o + d**2 - d**2. Let u(v) = -v**2. What is y(u(k))?\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 18, 44, 80, 126?\n\"Answer: 5*v**2 + v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1110668?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 = -3*x, 0*x - 3*u = -5*x - 2. Suppose -4*o + 1 + 3 = 0. Let k be (38\/10 - -1) + (-8)\/(-40). Sort -5, o, x, k in descending order.\nAnswer: k, o, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-12)*4*1*9. Let l be (0 + a\/(-28))*7. Solve -2 = l*o - 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*u**3 - 974*u**3 + 213*u**3 + 130*u**3 + 2*u**2.\nAnswer: -584*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/70 - 0\/2)\/6.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**5 + 4*w**2 - 13*w. Let g(j) = 9*j**5 - 11*j**2 + 40*j. Let z(t) = 11*b(t) + 4*g(t). Find the second derivative of z(i) wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*c = -f + 21, 2*c - 4 = 3*f. What is the units digit of (-32)\/(-24)*3\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 <= 1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-two fifths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-4 - 0 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -3. Let y be 2 + 0\/(-1) + i. Suppose y*g + 60 = 2*g. Solve -d - g = -6*d + 5*u, 4*d - 12 = -2*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1860*n**2 - 1320*n + 658*n + 662*n as l + q*n**2 + g*n and give q.\nAnswer: 1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22403.2433 - -22393.6. Let s = w - -0.0433. Which is smaller: 0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c = -15*c + 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.946 + 9. Let i = d + -0.05400051. What is i rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940*o**2 + 1874*o**2 - 937*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1001010?\nAnswer: -1001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3194264693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 230*m**3 - 23*m**2 - 23. Let v(h) = 21*h**3 - 2*h**2 - 2. Let a be (9 + 126\/(-12))\/((-12)\/184). Give a*v(n) - 2*b(n).\nAnswer: 23*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 15*k**2 - 20*k. Let s = -151 - -145. Let h be 4\/s*15\/(-10). Let b(p) = -p**2 + p. Let x(m) = -9*m + 2. Let d be x(-2). Give d*b(j) + h*n(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42079536 divided by 9?\nAnswer: 4675504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -623, -1162, -2411, -4658, -8191?\n\"Answer: -48*z**3 - 67*z**2 - 2*z - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**3 + r**2 - 1. What is f(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**3 + 10*d**2 - 20*d. Let i be u(-3). Solve -i*t = -t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 34 + 32)*(-z**2 + 0*z**2 + 2*z**2).\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 1. Let m be c(-5). Let k(g) = g**3 - 14*g**2 + 2. Let x be k(14). Suppose 0 = x*h - 3*h + m. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 = 297*z - 325*z. Let u(v) = 0*v**2 + v + v**2 - 7 + 3*v**2. Calculate the remainder when u(-6) is divided by z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 2*c**2 - 2*c - 3. Suppose -4*v + 3*v = -32. Calculate the remainder when v is divided by u(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/6*0)\/(-1). Let a = -5 - -3. Let i be 3 + o + a - 1. Which is smaller: i or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1536 divided by -328?\nAnswer: 192\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -16*i**3 - 3*i + 1260. Calculate the lowest common multiple of g(0) and 2100.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -5*8\/(-20). Let t = 3 - n. What are the prime factors of (-3 + t)*(-51)\/2?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s - 139 = 41 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 14\/(-2))*-35. Let w = -98 + l. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*j**6 - 129*j**5 + 7*j**2 - 110?\nAnswer: 1320*j**3 - 7740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let v(r) = -r**2 + r. Let h(b) be the second derivative of b**4\/6 - 2*b**3\/3 + b. Let z(w) = -h(w) - 4*v(w). Calculate t(z(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 5*u = -225. Suppose 5*z - 3*w = 3*z + 23, z = 5*w + u. Solve 2*y + 3*m = -6, 0*y - m = -2*y + z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 539 and 120295.\nAnswer: 1323245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2096151\/60758)\/((-6)\/4*1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-290879 - 403*f**3 + 290879)*(1 - 1 - 2)*(-1 + 2 + 2 + 3) in the form d + t*f**2 + r*f + h*f**3 and give h.\nAnswer: 4836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4 = -3*y, -3*y - y + h = -11. Let v = 1\/6 - -5\/42. Let f be (-3)\/(-9) - (-1)\/15. What is the biggest value in v, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 25*n**2 - 125*n - 90. What is r(12)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 331415049 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24451201861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v. Let m(p) = 1207925*p**2. What is a(m(y))?\nAnswer: -7247550*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 9*u + 58. Let o(y) = y - 17. Let h be o(21). What is the lowest common multiple of i(h) and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 9 + (1316\/1880)\/(1\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -2 - (-7 - (-1)\/(-3)*-12). Let j(t) be the second derivative of -1\/2*t**5 - t**2 + 0 - 7\/3*t**r + t - 11\/6*t**4. What is h in j(h) = 0?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14004020002 (base 5) to base 16\nAnswer: 10d3195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 162.509 and 0.0659914.\nAnswer: 162.5749914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 11*j + 6. Let c be j\/24*(-40)\/15. Factor 0*l**2 + 0 - 2\/9*l**3 + c*l.\nAnswer: -2*l*(l - 1)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 109.\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6049 is divided by 1999?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 19. Suppose 0 = -0*x - x + c. Suppose -x*j = -5*t - 50, 4*t - 2*j + 29 = -1. What is the third smallest value in 0, t, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61304 (base 8) to base 5.\nAnswer: -1302114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24\/17 (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - g + 4. Let n(r) = r. Let l(i) = -4*n(i) + y(i). Let p be l(7). Let q = -12 + p. Calculate the lowest common multiple of q and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -3 - 1\/5*z**5 + 0*z**3 + 0*z**2 + 0*z**4 + 2*z. Find the first derivative of r(n) wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18372 or -18373?\nAnswer: -18373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668 = -77*h - 460 - 27 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14779, 29741, 44921, 60325, 75959, 91829, 107941, 124301?\n\"Answer: h**3 + 103*h**2 + 14646*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-70)\/21 - (17 - 10).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1915008876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {c: 7, u: 1, r: 5, l: 1, b: 2}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 - 6*z - 8. Let t(u) = -10*u**2 - 18*u - 24. Let n(h) = 11*l(h) - 4*t(h). Give n(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-13))**(-20\/9)\/((v\/(v**46\/v))\/(v\/(v\/((v\/((v*v*v\/(v*v**(-38)\/v))\/v))\/v*v))*v)) assuming v is positive.\nAnswer: v**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000084464856 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, -4, -80, -244, -526, -956, -1564?\n\"Answer: -5*j**3 + j**2 + 14*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 14) to base 11.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 372443884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 5:17 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3553044 - 25?\nAnswer: -3553113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - 0.9. Let v = 1.5 - 0.7. Let y = s - v. Which is smaller: -2\/9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7717 + -3728. What are the prime factors of h?\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*(-28)\/6. Let x(k) = -8*k + 581 - 80*k**2 + 81*k**2 - 575. Determine x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1016 + 1015.99168. What is f rounded to 4 decimal places?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.53? (a) -1.2 (b) -0.08 (c) 0 (d) 0.7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 8. Let j be b - 1*(0 - 1). Solve 19 = -j*x - 3*x - 4*p, 0 = -4*x + 4*p - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24398 = -3*s - w, -5*s + 3092 = w - 37570. Suppose -2442 = -17*i + s. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*sqrt(39)\/sqrt(3) + sqrt(13))**2.\nAnswer: -3185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -7*o - 3*o - 83. Put 3, 21, 5, o, -1 in decreasing order.\nAnswer: 21, 5, 3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-8)*18\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16130 - 16136. What is the closest to y in -1, 5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*z**2 - 33*z**2 + 138*z**2 - 38*z**2 - 37*z**2 - 7 + 80*z**3 in the form q + r*z**3 + f*z + h*z**2 and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 248\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpcccppccp. Give prob of picking 1 c and 2 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -21058*w**2. Let v(q) = 4*q**2. What is v(k(d))?\nAnswer: 1773757456*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**3 - 183*n**2 + 42*n - 209. Calculate b(-46).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-26)\/(-8)*22*2 is divided by 12\/(-5)*(95\/10 - (-12 + 22))*30.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*k = 2*i - 400, -9 = 3*k. Suppose l = -2*d - 52 + i, -4*l - d + 573 = 0. What is the greatest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22 - 26) + 3\/((-21)\/(-34)). Let f = 5 + -9. What is the closest to 2\/7 in f, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.57057 micrometers in nanometers?\nAnswer: 58570.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*a + 3 + 4, 0 = -4*f + 4. Let u be -3 - (a - 2)\/(1\/(-4)). What is the units digit of ((-54)\/15 + 2)*(u + -50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 315*z - 15. Let f(o) = -5*o - 84. Calculate f(x(h)).\nAnswer: -1575*h - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -3*q - 35. Calculate the greatest common factor of 553 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(5))*-3)**2 - (sqrt(405) + -2 + 5)**2.\nAnswer: -630*sqrt(5) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*r - 374, l - 32 = 2*r - 160. Let d = l - -392. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4419434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373717?\nAnswer: 373717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -1, -2, -4\/181 in increasing order.\nAnswer: -21, -2, -1, -4\/181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 9. Suppose 4*i = h + 19, -22*i + 23*i - 31 = -5*h. Let d(l) = -2*l + 12. Let q be d(i). Calculate w(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 110 = -5*s + 3*p + 55 - 97, 99 = 3*p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 431 + -145. Calculate the smallest common multiple of q and 286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4706, 4, 1 in descending order.\nAnswer: 4706, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 7:22 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -57 - (10 - 7).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1604, 1610, 1620, 1634, 1652, 1674?\nAnswer: 1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6537, -1\/5, 0.4, -2, -5 in decreasing order.\nAnswer: 0.4, -1\/5, -2, -5, -6537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/224 - 149\/224. Let s = t + 87\/70. Let g = 0.5 - 0.3. What is the closest to -1\/4 in s, 5\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1288395821 and 0.9.\nAnswer: -1288395820.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116.4 + 116. Which is the biggest value? (a) -5 (b) 0.3 (c) 0.4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**5\/90 + k**4\/36 + 10*k**2. Find j such that a(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8730263 grams to milligrams.\nAnswer: 873.0263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 5. Let k(c) be the third derivative of -c**8\/6720 - 2*c**5\/15 - c**4\/12 - 148*c**2. Let r(m) be the third derivative of k(m). What is r(u(w))?\nAnswer: -3*w**2 - 30*w - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 49. Let h(f) = f**2. Calculate s(h(r)).\nAnswer: -r**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -298561220 to the nearest one hundred thousand.\nAnswer: -298600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x\/(x*x\/(x*x**0))*x)\/x*x)*x)**29\/(x**3\/(x*x**(-2\/15))) assuming x is positive.\nAnswer: x**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/2)\/8 - (-2766050)\/(-663900). Let s be 2*1476\/4426 - (-8)\/(-12). Let a = s - v. What is the common denominator of a and -103\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/5 + (-4)\/(-10). Let z = 42 + -37. What is the second derivative of -9*p**2 + 10*p**2 - z*p + 3*p**g + 4*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 3*l**4\/4 - 52*l**3 + 153*l**2\/2 - 249. Suppose n(a) = 0. Calculate a.\nAnswer: 0, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98095880 and 2405?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 44575.47ns?\nAnswer: 0.00004457547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25374139 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254 divided by 3?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdddmmddwdgvydvddyd. Give prob of sequence wddv.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 - 11*y - 4. Calculate d(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 6273442?\nAnswer: -6273442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23794, 1\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561 (base 12) in base 7?\nAnswer: 15250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 173.2 - 214. Round a to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 120, -5, -4 in descending order.\nAnswer: 120, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*j = -2 - 4, 4*j + 4 = -2*t. Let f(r) = -124*r**3 + 2*r**2 - r - 2. Let v be f(t). What is v rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107597868 a multiple of 4518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, h: 4, l: 6, q: 1, c: 4}. What is prob of sequence cqh?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 8*l**2 + 0*l**3 + 0 + 3*l**3 - 4 to k*l + a*l**2 + x*l**3 + f and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 5*q**4\/4 + 2*q**2 + 6. Let n(t) = 14*t**3 + 11*t. Let i(c) = -c**2 + 5. Let x be i(-4). Give x*m(l) + 4*n(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1906607 milligrams?\nAnswer: 0.0000000001906607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 296 - 295.4. Sort -3, 4, -2\/3, b in ascending order.\nAnswer: -3, -2\/3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17194 is divided by 172?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 56\/2456159?\nAnswer: 56\/2456159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 246.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2263403632 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2078 at most as big as -2078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/155*30\/(-4)*(-1390)\/2085.\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 1\/6 (c) 0.1 (d) 3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 12609?\nAnswer: 12609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*1.8931.\nAnswer: -1.13586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1 + 4)**2 + -2 + sqrt(8)\/sqrt(4) - (-4 + sqrt(40)\/sqrt(5))**2.\nAnswer: -8 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*k + 2*v + v, -5*v = 3*k - 75. Suppose -b + 459 = k. Suppose -29*l + 312 = -21*l. What is the highest common factor of b and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 507*a**3 + a**2 + 143*a + 142. Determine z(-1).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 2*h**2 + 9*h - 13. Let z be a(2). Calculate the highest common factor of 52 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 20 = -3*k, -s = 6*k + 19. Calculate the highest common factor of 1055 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9018 and 1728?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -96005 in ascending order.\nAnswer: -96005, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 11 (c) -17.3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.34648 to two dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37.9 + 37.8. Which is the nearest to w? (a) -0.1 (b) -0.05 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6727.9 + -6726.11143. Let f = -20.02453 - h. Let s = -21.8 - f. What is s rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibozoybbbzbibibby. What is prob of sequence zi?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 13723818 and 13723818 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q + q - 3*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -107 - (-1 + (5 - 2) + -665 + 666)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 7113, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-112)*-3)\/((-13203)\/(-2934)).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. What are the prime factors of (1*-8 + z)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7437.056 years to millennia.\nAnswer: 7.437056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -0.132?\nAnswer: -0.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3))**(-16)\/((x*x**(4\/3))\/(x\/x**(-2\/3))))**(14\/11) assuming x is positive.\nAnswer: x**(-84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m + 4. Let q(x) = -11*x - 9. Let f(u) = 3*q(u) + 7*v(u). What is the remainder when 13 is divided by f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(3 + -1))\/3. Let k be 7\/(-3)*(-45 + x). Suppose 4*w + 105 = 3*o, 4*w = 3*o - w - k. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 853.\nAnswer: 5\/853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.6 and 0.3?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.98 - 8.7. Round h to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -297, -613, -923, -1227, -1525?\n\"Answer: 3*l**2 - 325*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 8, -16177.\nAnswer: -16177, 8, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**5\/20 + y**4\/4 - 3*y**3\/2 + 3*y**2 - 30*y. What is the least common multiple of s(3) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(48)\/sqrt(144)))\/(sqrt(24)\/(3*sqrt(4)*2)).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -m - 2*m - 80, 2*c + m = -135. Let g = c - -115. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -40. Suppose 7 = -2*g - 3*u + 25, 0 = 4*g + 2*u - 20. What is the smallest value in g, r, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1216 and 7218848.\nAnswer: 274316224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) - 74\/(-308). Let t be ((-68)\/44 + 2)\/1. Let m = k - t. Which is smaller: m or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 16 = -2*t, -2*g + 7*g = t + 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2. Let s(c) be the first derivative of -7*c**5\/60 + 4*c**2 + 2. Let l(m) be the second derivative of s(m). Calculate l(o(b)).\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 193872540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/792 and 149\/126.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 12*j - 11. What is the least common multiple of 7 and y(-10)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/240 and -47\/14240.\nAnswer: 42720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -300, -1\/12, -0.1, 4\/9, 1, -1\/4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 1 c when three letters picked without replacement from {g: 3, c: 1, i: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1150240 to the nearest 1000.\nAnswer: -1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*y, -4*y + 16 = 3*o - o. Which is the smallest value? (a) 2\/45 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**2. Let d(t) = 3*t + 4*t - 9*t. Let c(r) = -4*r. Let z(b) = -2*c(b) + 3*d(b). What is z(m(i))?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5993990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -110, -233, -362, -473, -542?\n\"Answer: 4*f**3 - 39*f**2 - 4*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7) + -6 + (5 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from kskkkpppjpkp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23235 or -16?\nAnswer: -23235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 2427 = -579. Is s not equal to 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166749491?\nAnswer: 19, 37, 193, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 801986 + 105?\nAnswer: 802091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-4)\/(-116)*30\/(-105).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d, 0*z + 5*d - 36 = -z. Let l = -15 + z. Let y = l + -45\/2. Which is the second smallest value? (a) y (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 526150030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2. Let b(f) = -3*f - f - 6*f + 2*f. Calculate b(h(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*v - 20 + 16, -3*r = 4*v - 24. What is n in 42\/17*n - 6*n**2 - 30\/17*n**4 + 94\/17*n**v - 4\/17 = 0?\nAnswer: 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 23 - 14*m**2)*(4 - 11 - 8)*(-m + 3*m - m)*((0 - 2*m + 0)*(3 - 6 + 1) - m + 0 + 0) to u*m**4 + g*m + y*m**2 + s + v*m**3 and give u.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - 46*x**2 - 11*x**2)*(-7 + 2*x + 7) + (0 - 2*x + 0)*(x**2 - 4*x**2 + x**2) - 1 - x**3 + 1.\nAnswer: -117*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7*10\/245*1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 6. Suppose -42 = z + 6*z. Let q be f(z). What is the greatest common factor of q and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 347*a - 175*a - 172*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2917 = -5*r, 0 = -2*r + 4*j + j + 1171. Let i = r - 136. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {c: 6, v: 6}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1127, 1129, 1131, 1133, 1135?\nAnswer: 1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 317, 1251, 2807, 4985, 7785, 11207?\n\"Answer: 311*w**2 + w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 7*b**2 - 7*b + 3. Let s(n) = n**2 - 6*n + 6. Let t be s(6). Let k be o(t). Let z = 3 + k. Sort 3, z, -5 in descending order.\nAnswer: 3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-56)\/1470 + (-1 - 15\/(-21)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/14 - (-2)\/(-14)*-2. Which is the closest to n? (a) -2\/19 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -49, -88, -127, -166, -205?\n\"Answer: -39*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 411\/3288*(-32)\/(-238)?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, -18, 244?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2 + 9 - 4*d + 5*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9754.796 litres to millilitres.\nAnswer: 9754796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 7*n**2 - 3*n - 12. Let z be c(-7). Suppose -z*q = 92 - 2. Let l be (-54)\/q + 0 - 10\/25. Solve 0*s - s - l = -v, 0 = -5*v + 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26474039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 4*a**3 + a**4 + 6 - a**2 + 2*a**3 as j*a**3 + w + l*a**4 + v*a**2 + h*a and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -291 or -290?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**2 - 3*m**2 - 3*m**2 + (-1421*m**2 + 440*m - 440*m)*(0 + 0 + 1) as g + j*m**2 + t*m and give j.\nAnswer: -1422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**5 + 2*x**4 + 6*x**3 - 22*x**2 + 22*x - 12. Let c(y) = 5*y**5 + 2*y**4 + 5*y**3 - 21*y**2 + 22*y - 13. Let p(u) = -6*c(u) + 7*j(u). Factor p(v).\nAnswer: -2*(v - 1)**4*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*b - 38*b + 93*b - 20*b + 10*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-40) + (-27)\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + sqrt(288)*-1 + 4 + -2 + -3.\nAnswer: -12*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8\/13 + 14\/65. Let v(h) = -h - 1. Let t be v(2). Let s = -0.2 - -0.3. Which is the second smallest value? (a) s (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, c: 4, s: 2, l: 2}. Give prob of sequence ll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -40*k + 20. Let l be r(8). Let b = 460 + l. Is 40 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16131 + -15808. What is the remainder when a is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*z, -4*u - 4*z + 8 = -0*u. Let p = 0 - u. What are the prime factors of p + 1 + 0 + 12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.89648 millilitres in litres?\nAnswer: 0.01989648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/878540 and 43\/52.\nAnswer: 878540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*f - 223, 4*z = 2*f - 3*f - 253. Let v be (-4365)\/(-72) + (-6)\/(-16). Let g = z + v. Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w + 10920 = 41*w. What is the greatest common factor of w and 455?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 11. Let w(z) = 2*z + 8. Let n(d) = 2*k(d) + 3*w(d). Let s(q) be the first derivative of -q**2\/2 - q - 3. Calculate -4*n(y) - 7*s(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 111*h**6\/8 - h**5\/30 - h**4\/24 + h**3\/6 - 19*h**2 + 5. What is the thousands digit of p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4*g - 5 + 7 = 0, -2*g = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 199.1 - 199.2. Which is the closest to l? (a) -1\/7 (b) 4 (c) -2\/7 (d) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1839459566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 3:33 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -557467993 to the nearest 100000.\nAnswer: -557500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**5\/20 - c**4\/12 + 4*c**2 - 143*c. Let o be 2 + 1 - (-1 - -10). What is the units digit of x(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.78 + 9.98. Let m be ((-5)\/(-4) + -1)\/1. Which is the closest to m? (a) w (b) 3 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 + 628*z - 487. Determine a(-89).\nAnswer: -932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - r)*((0*r - r + 2*r)*(2 - 1 - 3) + 3*r - 5*r + r - 23 + 282*r + 4 - 289*r).\nAnswer: 10*r**2 + 19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 13\/94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 1 + 6\/(-4). Let y = -0.3 - -0.5. Let g = -0.2 + y. Which is the closest to g? (a) -5 (b) 3\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0561 + 1297.9439. Let g = -1287.79 + h. Round g to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 - 15*c**3 - 3*c**3 + (-1 - 1 + 0)*(-3*c**3 + 2*c**3 - c**3) + 2*c**3 - 3*c**3 - c**3 in the form t*c**2 + d*c**3 + k + m*c and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140808500 divided by -3510180?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29578.8 + 29580. Which is the second smallest value? (a) k (b) -0.2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86597 is divided by 1205.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -17. Let j be 1 - (-20 - i - -3). Let v = j - -16. Calculate the remainder when v is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52541\/78681867 - -3\/30181. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 6*a**2 + 79*a + 30. Does 6 divide m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 - 3)*((-1 + 2*i**2 + 1)*(-3 + 3 + 1) - 10*i**2 - 13 + 13 - 5 + 5 - 13*i**2) in the form m*i**2 + c + t*i and give m.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 2, -1\/5, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158437 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 + -139. Put 2, 3, s in increasing order.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**3 + 11*m**2 - 8*m + 21. Let u(s) = -s**3 - 1. Let q(z) = k(z) + 5*u(z). List the prime factors of q(-10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -86. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 15*s + 15. Give v(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -125 - 10 - 29?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g + 4*w = 25*g - 6364, w - 31946 = -5*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -582.53 + 549.6. What is t rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1273*t - 1963 - 48139 = 51*t for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/23, 0.2, 0.1, -42, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2711.7945 times -0.1?\nAnswer: 271.17945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0 + 7\/4*v**5 + 55\/6*v**3 + 20\/3*v**4 - 16*v + 5*v**2. Find q such that i(q) = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 3. Determine u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooooppoojopjoobouoo.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let c = 0.2 - y. Let m = c + -0.2. What is the closest to 0.1 in m, -5, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/17 (b) -9 (c) 49 (d) -3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27159704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -72796.111938079 take away 0.5?\nAnswer: -72796.611938079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 5*c + 2*c - 4*c + 0*c + 3*c + 4*c - 2*c - c + (4 - 5 + 3)*(c + 3 - 3) - 3*c + 5*c + 15*c + 5 - 3*c - 5 + (-4*c + 0*c + 0*c)*(2 + 0 + 0).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:17 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n - 3 + 0*n + 2. Let o(a) = -a**3 - 22*a**2 - 33*a - 249. Let h be o(-21). Calculate k(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c + 47. Let i(f) = -6*f - 4. Let w(l) = 9*l + 5. Let m(x) = -5*i(x) - 4*w(x). Calculate k(m(v)).\nAnswer: -36*v + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/147504 and 121\/126.\nAnswer: 442512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.01 (b) -0.2 (c) -2 (d) -9180\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192) + sqrt(192))*3.\nAnswer: -3 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 7:12 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 176.9 from -5.19.\nAnswer: -182.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(1*(sqrt(175) - sqrt(7)))*-6 - (sqrt(18) - 4*sqrt(648))\/(sqrt(1620)\/sqrt(5)).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2060 - -2058 - (-4 + (2 - 42)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58872 is divided by 315.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by 431886.\nAnswer: -38\/215943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4 + 1 = -4*g, -2*t - 4*g + 6 = 0. Is 7 a factor of ((-148)\/(-10) + 2)*(-10)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Determine b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:33 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 10*p**2 - p**2 + 602*p.\nAnswer: -11*p**2 + 602*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i**2 - 2*i + 2. Let f(q) = 28*q**2 - 7*q + 7. Let z(r) = -2*f(r) + 7*h(r). Let y be z(-1). Let g be 820\/(-123)*6\/(-5). Solve g = 5*u - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1)*(-12)\/(-20))\/(3\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 878202 and 65286.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2 + 1. Let c be u(-1). Suppose -c*b - 36 = -3*b. List the prime factors of (30\/b)\/((-2)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = 2. Suppose 3*x - 2*q = 4, r*x + 0*x - 4*q + 8 = 0. Suppose 2*j + 0*j = -l, -2*j - 2*l - x = 0. Solve 7*w = j*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let z = m - 4. Which is the biggest value? (a) 3 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.207168 to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*c**2 + 31 + 338*c**2 - 167*c**2.\nAnswer: -c**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 0*h**2 + 5*h - 7*h**2 + 6*h**2 + 3. Give d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65896171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -46 times 42\nAnswer: -1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 4*k**2 + k + 4. Give m(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -33 - 13. Suppose 34 = -3*t - q. Let b = t - -25. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 44 = u. Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*d**3 + 6*d - 6*d - 393*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1304)\/320 - -4)*335\/(-12) and -41\/24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 2:58 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9852183 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/20 + 62*p**3\/3 - 96*p**2 + 619*p. What is the first derivative of j(k) wrt k?\nAnswer: 3*k**2 + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-19) - 1\/((-2)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6329860 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 167 + -161 + (2 - 1) + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ba (base 14) to base 15\nAnswer: ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1474 by -22.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*p**2 - 28*p**2 + 3*p - p - 2*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123.3368mg to kilograms.\nAnswer: 0.0001233368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*k, -26*k + 25*k - 7 = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n + 106 - 86 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 789164669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 2*i**2 - i + 10. Let g be c(-3). Solve 0*b - g = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -6, -1\/6, 0, 14, -3, -4058?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {o: 2, b: 1, f: 4, m: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 10*b + 9. Let a be g(-11). Suppose a = 3*o - 19. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/80 and 45\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -60*k**2 + 660*k - 1083. Calculate q(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 2. Let l = -6 - -10. Let u be (-6)\/(l - (4 - 2)). List the prime factors of s(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-1.12.\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 151, 113, 49, -47, -181, -359, -587?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*c - 15 = 0, 6*c = 2*c + 20. Suppose 28 = x + 3*t, -x + j*t = -5*t + 4. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from ebvb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 + 19*l + 172*l**2 + 178*l**2 - 349*l**2 as p + f*l**3 + j*l**4 + y*l**2 + t*l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 7, -1\/2, -2, 11236, 5\/3, -1?\nAnswer: 11236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 40. Let p(o) = -7*o + 66. Determine -p(s) - 2*v(s).\nAnswer: 7*s - 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 1. Let l(b) = 5*b**2 - 31*b - 258. Let v be l(11). Suppose 3 = 4*g - a, -5*g - 1 = -g - 5*a. Let s(k) = -4*k + 7. What is g*s(t) + v*q(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*b + r - 2, -3*b = -5*r + 2. Let s = b + 1. Solve 2*m - 5*g = -1, 3*g = -4*m - s*g + 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by -112?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 + 67 + (6 - 1) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -4.4, 4, -4\/9, 2\/5?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:43 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -59. Suppose -2*a = -0*a - 168. Suppose 2*q - 10 = 0, -2*c + q = -p*q - a. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*r - 0*r + 22, -4*r = -16. Suppose 2*m = m + j. What is the least common multiple of 5 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146256.\nAnswer: 2, 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2074299?\nAnswer: 3, 691433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c61a4 (base 14) in base 16?\nAnswer: 3052c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 250 (b) -15 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*q + 0 + 0 + (-5 + 2 + 2)*(q - 2*q + 4*q).\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31920 and 49896.\nAnswer: 9480240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*q - 2*q + 5*p, -q = 3*p - 2. Suppose -q*b + 9 = -36. Let v = 92 + -86. What is the greatest common divisor of v and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 9 = -5*z - v, -2*z = 4*v - 28. Let u = z - 7. Suppose 0 = -5*t + 6*t - u. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002070817 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -7520394 = -7520393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 1. Let u(g) = -12122*g + 29. Determine 29*o(t) - u(t).\nAnswer: 12064*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 3:40 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 0)*(15 + 26 - 10)*(2*z**5 + 4*z**5 - 4*z**5).\nAnswer: 310*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/18*-3*48\/8. Suppose -t*l + 23 = 32. Let i(x) = -3*x + 5*x + 1 - x. Determine i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 1:20 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtt when three letters picked without replacement from {q: 7, o: 5, d: 1, t: 5}?\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4678191 divided by -1559397?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k - k**3 + 11 - 4*k + 3*k. Let m(w) = -w**2 - 30*w - 160. Calculate the lowest common multiple of p(0) and m(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22118395 to the power of 1\/2, to the nearest integer?\nAnswer: 4703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 12*j - 16. Calculate the remainder when y(8) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7579 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/145 and -38\/451085?\nAnswer: 13081465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/57 or -946?\nAnswer: -946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 4:13 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8 = -j, 3*j + 4 = 2*b + 4*j. Suppose -20*x + 17*x - 1310 = -5*z, -1048 = -4*z + b*x. List the prime factors of z.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 184?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71, -272, -607, -1076, -1679?\n\"Answer: -67*u**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 255*o**2 - 19627*o - 613. Let d be g(77). Let y = 8 + -6. Suppose p = 6 - y. Let h(b) = 8*b + 5. Let n(t) = -9*t - 6. What is d*n(c) + p*h(c)?\nAnswer: 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16960*z**5 + 2*z**4 + z**2 + 6558*z + 3 wrt z?\nAnswer: -339200*z**3 + 24*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 128*h + 1258. Give q(-117).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 188?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-60) - 36\/2025*-20\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1088 + 1082. Let s be ((-294)\/50 - f)\/((-1)\/(-15)). Find t, given that -3*t + 3\/5*t**2 + s + 3\/5*t**3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j + 89 = 581 - 42. Solve -j*k - 2*k - 189 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1555*r + 181. Is n(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603064 is divided by 150764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (1958\/(-1246))\/((-1)\/13517) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 855 - 850. Suppose -3*c = 5*a - 32, -5*a + 0*a - c + 24 = 0. Let m = -2 + a. What is the biggest value in 0.4, p, m, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0 + 0)*(-115892 + 1254*v + 115892).\nAnswer: -1254*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11) + sqrt(1584)*-3).\nAnswer: 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0.1. Let l = 0.85 + 0.15. Let j = -0.7 + l. Sort 0.01, f, j in decreasing order.\nAnswer: j, 0.01, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 2*l**2 + 5*l - 2. Let v be a(2). Solve 2*g + 2*g = -v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 396 and 28.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(325) + sqrt(325) + (sqrt(325) - (-2 + sqrt(325))) + -3 - ((sqrt(143)\/sqrt(11))**2*5 - ((sqrt(13) - (sqrt(13) + -5)) + -4 + sqrt(13))**2).\nAnswer: -51 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.1, -4\/5, -14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*i**2 + 38*i**3 + 51*i**2 - 121*i**2.\nAnswer: 38*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 + 4*q**5 + q**2 - 5*q**5 - q + (3*q**3 - 3*q**3 - q**3)*(2*q**2 + 0*q**2 + 0*q**2).\nAnswer: -3*q**5 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 2*u**2 - 6*u - 6*u + 6*u to the form o*u + w*u**3 + x + s*u**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.64, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64291114.25 rounded to the nearest one million?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-74)\/(-74)*(1 - 1). Solve -19*w + 14*w - 10 = m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 5, 0.4, -1, 530?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507366133.\nAnswer: 7, 13, 16564463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*y**3 - 12090 + 24145 - 12055 - 15*y**3.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 1 + 2)*(0 - 3 + 2) - 1 + 2 - 5)*(-14 + 9 - 2)*(-i + 0*i + 0*i) in the form u*i + p and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z. List the prime factors of t(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141ce (base 16) to base 4.\nAnswer: 110013032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 1\/2*j**3 - 10*j - 1\/20*j**5 + 0 + 1\/12*j**4 - 17\/2*j**2. List the prime factors of d(-5).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*v - 93, 51 = 3*w + 2*v - 200. List the prime factors of w.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2368 and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 3*n + 2*n**4 + (-4*n**2 + 0*n**2 + 2*n**2)*(-2*n**2 + n**2 + 3*n**2) - 3*n**4 - 2*n**4 + 2*n**4 as m + o*n**2 + a*n**4 + w*n**3 + g*n and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyt when three letters picked without replacement from {y: 2, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 0.03741413\nAnswer: -0.026189891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6015856 and 7.\nAnswer: 6015856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*y - 154 = -5*y + 206. Solve -2*i - 3 = 3*q, 5*i + 7 + y = -5*q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/51 - 153196\/(-68) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1610)\/(-207)*(-16)\/((-80)\/15))\/(-2).\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 1022.\nAnswer: 1021.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(11\/66)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-6) + -4*(-2)\/(-4). Suppose -424 = -3*k - 4*x, -3*k - 2*x = -m*k + 558. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 8*a + 14. Let z be d(-9). Suppose -32 = -4*n + 2*g, n = 6*n + z*g - 10. Let u(c) = -7*c**2 + 2*c - 11*c + 2*c**2 + 9 + n*c**2. Give u(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7828.\nAnswer: 2, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, -8, -194, 2\/155 in increasing order.\nAnswer: -194, -8, 2\/155, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3496 - -0.12157686\nAnswer: 3496.12157686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 881260594 to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqsqqsqssq. What is prob of sequence qsss?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 231\/35 - (-6)\/(-10). Let g(r) be the third derivative of r**4\/8 - r**3 - r**2. Let f be g(h). Solve -4*o = -0*o + f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 190 - ((-18)\/6 + 5). Suppose 4*u = 8*u - t. Is u at most as big as 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d2 (base 15) in base 5?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 j when three letters picked without replacement from jjqhjbhzzzzbhj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*z + 7*z = 54, -3*j = 7*z + 201. Let s be 412\/j - 2\/15. Let b = -2.4 + 3. Is b < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - -3)\/(1\/(-6)). Let r = -9 + i. Is (r\/10)\/(2\/20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1202*a**3 + 84 + 130 + a - 1212*a**3 - 2*a**2 + 2410*a**3 to the form y*a**2 + w*a + d + k*a**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -4)*(-1 - -7). Let o(i) be the third derivative of -i**5\/60 - i**4\/6 + 7*i**3\/6 - 2*i**2. What is o(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.33 + -24.67. Let d = -25.2 - o. Let s = -42.3 + 42. Is s at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 21452?\nAnswer: -21453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 452325479 and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6) - (10 - 1174\/124).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 63*o**2. Let i(k) = -45*k**2 + 101*k**2 - 50*k**2 + 2*k - 2*k. Give i(z(t)).\nAnswer: 23814*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c + 284. Let q(l) = -2*l - 171. What is q(s(u))?\nAnswer: 10*u - 739","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*(4 - 27\/12). Let y be (-1089)\/(-21) + -1 + (-2)\/n. Let q = 60 - y. Calculate the least common multiple of 33 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/(-14) + 3847\/42. Let x = m + -90. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(3) + (sqrt(12)\/sqrt(2))\/sqrt(2) - (sqrt(3) + 5*(0 + sqrt(3) + sqrt(3)) + sqrt(243) + -1))**2.\nAnswer: 180*sqrt(3) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 3*(-31)\/(-89). Let l = t + 211\/1246. Let g be (20\/50)\/(2\/5). Do g and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 divided by -10?\nAnswer: -389\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(1935\/688) - 63?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 13, f: 5}. Give prob of sequence fn.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 1556. Let k(b) = -b. What is i(k(c))?\nAnswer: 2*c - 1556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211596 or 211604?\nAnswer: 211596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8622 + -8834. Is 6 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -636, -1004, -1612, -2460, -3548, -4876?\n\"Answer: -120*z**2 - 8*z - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 12:59 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.32 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**4 + 8*j**4 + 294*j**3 - 295*j**3 - 2*j**4 - 43*j to h*j**2 + p*j + x + q*j**4 + s*j**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b. Calculate the remainder when c(5) is divided by (0 - -4) + 0 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -69120237, -69120234, -69120231, -69120228, -69120225, -69120222?\n\"Answer: 3*u - 69120240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + (-57126447)\/7857 + (-2)\/9. Let s = r - -7280. Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 44*w + 63. Determine t(6).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o + 136 - 25 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53 and 274751.\nAnswer: 14561803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - 49 + 7 - 3*f)*(-8*f + 3*f - 4*f) to s*f + p*f**2 + r and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (6 - 3 - -6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -6. Let t = -900.988 + 896. Let r = l + t. What is r rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 590 and 708.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 847206*g*n**2 + g*n + 38*g - 8*n + 84 wrt n?\nAnswer: 1694412*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236806 and 153640?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.38? (a) -1\/4 (b) 2\/15 (c) 7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 - 112142*i + 112142*i + i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11867175?\nAnswer: 3, 5, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49432, 49446, 49456, 49462, 49464, 49462, 49456?\n\"Answer: -2*w**2 + 20*w + 49414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 251.1469 - 251.4. What is s rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o + 66 - 24 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 13894670 to the nearest one hundred thousand.\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (55\/(-3))\/((-2)\/(-18)). Let m = -48 - s. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/16*64\/(-64))\/((-61)\/244)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7744 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -5, 1\/1000, 1, -7, -4 in descending order.\nAnswer: 1, 1\/1000, -2\/3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/5 + 14878*j\/5 - 328284\/5 = 0.\nAnswer: -7461, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*a + 2701 = 0, 4*x + 2*a = 1362 + 798. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 2*h + 12. Let n be x(4). Solve -n*s + 2*s = -5*r + 23, 0 = r - 5*s - 23 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + c**2 - c. Let n be l(1). Let o = 6081\/8 + -762. Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212 + -186. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - y - 3. Let h = -4686 + 4683. Let o(z) = 4*z**2 + z**3 - 4*z**2 + 2 + z. Let v(s) = s - 9. Let l be v(7). Determine h*o(t) + l*k(t).\nAnswer: -t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen eighths of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -12*l + 18. Calculate the remainder when 77 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/6)\/((-1)\/(-2)). Let v = a - -1. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*c = 28, -5*c = 3*h + 2 - 1. Let n(f) = 3*f - 1. Let q be n(-9). Let d be (-40)\/q - 8\/(-14). Calculate the highest common divisor of d and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300 divided by 4.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/45*-11*(-6)\/(-990)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 356\/10 - (-3)\/(-5). Suppose -5*h = 5*f + 5 + 35, 5*f = 5*h. Let q be (5\/(-2))\/(2\/h). What is the highest common divisor of y and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -6) + -11 - (-1036)\/112\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = -2*s + 3*s + k, 0 = 4*s - 4*k - 612. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.4, 183.\nAnswer: -8, 0.4, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-12)*((-44)\/(-30) - 2). Which is the second biggest value? (a) 2 (b) d (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - -0.5. Let j = 166\/91 + -20\/13. What is the closest to j in -0.2, -1, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sksksssss?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1860942 and 59\/300.\nAnswer: 93047100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 11*k - 12. Let p(l) = 11*l**2 + 34*l - 36. Let z(c) = 17*a(c) - 6*p(c). Let r be z(8). Suppose -r*b + 99 = -53. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-13 + 11) - (17 - (-5 + 7)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 824517 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (180 - 21) + 1*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**4\/24 - 10*t**2. Let n(w) = 5*w + 2. Let g = 0 - 1. Determine g*n(y) - 4*h(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -8834824.\nAnswer: 3\/1104353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + 6 + 3*7. Let a = -1 + -7. Let o be 11\/4 - 2\/a. Solve d - b = -o*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/7 - 23*y**2\/7 + 96*y\/7 - 108\/7 = 0. What is y?\nAnswer: 2, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 2013*l**2 - 338685*l - 336675.\nAnswer: -3*(l + 1)*(l + 335)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236581 is divided by 62.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -64301e (base 15) in base 11?\nAnswer: -2767a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 9. Find the third derivative of 2*s**3 + s**3 + s**2 - 3*s**2 - l*s**2 wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 74392 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36582561*f - 222426522.\nAnswer: 36582561","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 75021100 and 105.3375?\nAnswer: 75020994.6625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1, 3 in decreasing order.\nAnswer: 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214250 and 72250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/10)\/((-1)\/(-5) - 0). Solve -4 = 3*d + 4*a + 2, d - w*a = 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3108.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*f - 2772. Let h = 848 + f. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8981.\nAnswer: 7, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 z when three letters picked without replacement from zfffrzffffzfzzfzf.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 4, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -380 - -379.9. What is the second biggest value in -0.5, 0.1046, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-5*h + 0*h + 3*h) + 2*h + 6*h + 10*h + (2*h - 23*h - 2*h)*(6 - 4 - 1).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/15 + 3778*u\/15 + 2516\/5.\nAnswer: 2*(u + 2)*(u + 1887)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0662 - 2\nAnswer: -2.0662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 + 28*f - 3. Does 3 divide o(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 803, 814, 825, 836, 847, 858?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 176437657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 671 and 1.387.\nAnswer: 672.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23214, 59229, 95244, 131259?\n\"Answer: 36015*o - 12801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*2*(-2)\/(-8). Let b(m) = m + 979. Is b(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**2 + 176*p - 133. What is the remainder when 249 is divided by f(43)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 + 1 - 4 + 2*k**2. Let x(f) = -f**2 - 1. Suppose 2*q + 6 = -8. Let c(r) = q*x(r) + 2*z(r). What is the derivative of c(s) wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/5)\/(2\/(20\/(-15))). Let z = 0.3 - -1.7. What is the closest to -2 in z, 3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v**3 - 5*v**2 - 2*v - 31. What is the tens digit of c(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*b**4*m**3 + b**4*m - 456*b + 77*m**3 - 145*m wrt b?\nAnswer: -28*b**3*m**3 + 4*b**3*m - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170825 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by -4 - (-67 - 12\/6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 23. Let v = -36 + y. Factor 3\/2*w - 3\/2*w**3 - 3\/4*w**4 + 0*w**v + 3\/4.\nAnswer: -3*(w - 1)*(w + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 96 = -44*f. Let c be (-1 + 35)\/(4 + -7). Is f != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221985 and 12105.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(40\/(-5)))\/((-1)\/2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, -1, -14\/5, 13, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 - ((5 - 1) + -383 + 364)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4144 by 4.\nAnswer: -1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjn when three letters picked without replacement from {n: 3, e: 1, j: 1, m: 1, x: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 60221000.\nAnswer: 60221000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 271998563 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 17*j**2 - 17*j - 51. Calculate o(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6088 and 9?\nAnswer: 54792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from assasaa?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 5 - 3974788*l + 3974901*l - 3*l**2.\nAnswer: -3*l**2 + 113*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {k: 4, m: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 + 84 = z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -c - c + 0*c + (-1 + 1 + 4)*(0*c + c + 0*c) + c - 1 + 1 in the form k + u*c and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 + (6 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00158704 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/26490080 and 71\/19478.\nAnswer: 26490080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 473803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 16 = 11*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -1\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p. Let z(x) = 162*x**2. Calculate c(z(r)).\nAnswer: 1134*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 5 - 5 + 4 + 8 + (-3 + 0 + 4)*(0 - 1 + 0))*(3 - 10*w**2 + 11*w**2 - 4 + w).\nAnswer: 3*w**2 + 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*d = -2*d + 850, -4*r = -d - 700. Let s = -39 + r. Suppose 3*p - a = s, -4*p - 34 = -5*p + 4*a. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(76) + -1 + -3 + 5 + sqrt(76)*-2))**2 - (2 + (sqrt(76) + -3*sqrt(76)*-2 - sqrt(76)))**2*4.\nAnswer: -9728 - 256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + 2*a - 3*a - 4*a to the form b + g*a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/238 and 107\/4210.\nAnswer: 500990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69777.11ml to litres.\nAnswer: 69.77711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = 4*i + 6, -11 = -4*y + 3*i. Calculate the remainder when 57 is divided by (1*-124)\/(-4) - (2 + y).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 plus -86955540039013?\nAnswer: -86955540039012.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzwjlzzlllzzzzjwj. Give prob of sequence wwj.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*v - 4*v + 80, -2*v + 74 = -4*w. Let l = 68 - v. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.035 and 28.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/14 + (-64812)\/(-77) + -5.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7050*g - 3. Let b(v) = 7053*v - 2. Give -3*b(z) + 2*f(z).\nAnswer: -7059*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 0*n**2 - 6*n + n + 2*n - 5*n**2. Let b be f(-2). Let a = 25 + b. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:35 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156 + 105*s**6 + 56*s**6 - 28*s**2 - 161 + 317 wrt s?\nAnswer: 19320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 643451229 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-29)*f*f**(-33))\/(f**(-9\/2)\/(f*f*f**15)) assuming f is positive.\nAnswer: f**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (182\/(-1))\/(-2). Let k(w) = -2*w**3 - 5*w**2 - w + 6. Let i be k(-4). Suppose d = 5*y - i. What is the greatest common divisor of y and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 32 (b) -2 (c) -1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23684738541 - 0.07344.\nAnswer: 0.16340738541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w**2 + 5*w. Let s(t) = -t**2 + t. Let c = -11 + 26. Suppose -c = -u - 4*u. Determine u*o(d) - 15*s(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17176, 27523, 37870, 48217?\nAnswer: 58564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2874\/(-4)*(-4 + -8472). Let a be 10\/(-35) + f\/21. Round a to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a50c7 (base 13) in base 11?\nAnswer: -64a969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 355*z**3\/3 + 2642. Let y(d) = -5*d. Determine m(y(l)).\nAnswer: 8875*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17300\/640 + (-20)\/640?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1081*k**2 - 1291*k**2 + 961*k**2 to the form d + v*k + f*k**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -5 (c) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144895 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 + 7365*g**4 - 14734*g**3 + 2*g**2 + 14733*g - 7367.\nAnswer: (g - 1)**3*(g + 1)*(g + 7367)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 1:21 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 409?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j + 12. Let n = 9 + -4. Let p be m(n). Suppose -2*t = 2*t + 5*i - 80, 0 = -t - 5*i + 20. Solve t = 3*q + p*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8235 divided by 3429.\nAnswer: 305\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414 and 552.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 610603 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 + 0*i**2 + 20 - 4*i + 21 - 39. What are the prime factors of v(6)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-212)\/(-159) + 14\/18*15 is divided by ((-12)\/14)\/(2\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -903*w**4 - 1019 wrt w?\nAnswer: -3612*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14915032 a multiple of 988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 11 = -6. Let v be 2 - (-34 - 5) - d. Calculate the highest common factor of 147 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t - 147 = -5*b + 106*t, 2*t = -4*b - 54 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 take away 41809654?\nAnswer: -41809306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741666 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/477?\nAnswer: -5\/477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.28 and -1373.\nAnswer: 5876.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 13*l**2 + 16*l - 13. Suppose 0 = 2*m - 2*k - 26, -k = -0*k - 1. Let h be s(m). What is the highest common divisor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(400)\/sqrt(2) - ((1*sqrt(32))**2 + -2 + 4).\nAnswer: -33 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 3*j**2 - j + 3. Suppose k + 2*b = 3*k - 10, -4*b - 12 = 0. Suppose 3*z = -2*l + 3, -5*z + 2*l + 19 = -k. Calculate d(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(98) + -1) - sqrt(98)) + sqrt(98))**2*1.\nAnswer: -504*sqrt(2) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42822 (base 13) to base 11.\nAnswer: 82198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (480\/32)\/(3\/(288\/(-80))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 944431872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 3892?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -6*z + 44, h + 22 = -204*z + 202*z for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqqqgqykqkqpqqayqp. What is prob of picking 1 g and 2 k?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -21*p. Let s be x(-1). Suppose -5*c + 101 = s. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.994 - 44. Round b to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (7 - (-4 + 15) - -9)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-30))\/((32\/20)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2566)\/8 - 11\/((-44)\/3). Let f = d - -465. What are the prime factors of f?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -22. Let v(i) = -6*i**2 - p*i + 4*i + 7*i**2 - 8. Let j(f) = -f**2 + 8*f + 5. Let u(l) = 8*j(l) + 5*v(l). Find the second derivative of u(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-4 - -9) + 23 - (4 + -6 - 9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + ((-27)\/72*4 - 8\/(96\/42)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*h**2 + 301*h**3 - 302*h**3 + 0*h**4 - 4*h**4 in the form r*h + s*h**3 + n + d*h**2 + o*h**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 19 = 79. Let q = l - -32. Is 0.4 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-9 + -1 + 1 + 55 + -57).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 22192.6829412917?\nAnswer: 22194.6829412917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*u - 127*u = 16*u - 61056. Suppose 3*f = -2*z + 155, -3*z + 0*z = -4*f + 218. What is the greatest common divisor of u and f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*t - 4. Suppose -12 = -7*d + t*d. Suppose -38 = -3*k + d. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16923*k - 18582*k + 34644*k - 9119*k in the form i + u*k and give u.\nAnswer: -9980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*f - 70 = -f, -2*f + 148 = -4*g. Let w = 77 + g. Determine h, given that 17*h - 1 + 2*h**5 + 3*h - 17*h**4 - 3 - w*h**2 + h**5 + 37*h**3 = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.57 and 1487639078865.\nAnswer: 1487639078865.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 542 - 9019 = 0. What is the hundreds digit of x\/(-7) - 5*4\/70?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1071 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 6*u**2 + 7*u - 6. Let z be p(5). Suppose -2*q - z*n - 7 = -21, 0 = -5*q - 4*n + 17. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 3) to base 2\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 10*g + 38. What is u(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 531, 4, -5, -90, 1 in decreasing order.\nAnswer: 531, 4, 1, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7 - 3) + 1)*(4 - 7)\/(-225).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2*r - 270 + 19\/2*r**2 + 7\/3*r**3 + 7\/5*r**5 + 0*r**4. Find the second derivative of g(w) wrt w.\nAnswer: 84*w**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16414*p - 443188. Determine c(27).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*q - 33 - 2, 5*q = 4*b - 75. Let y = -14 - q. Let w = 7 + y. Solve 8 + 0 = w*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(324\/112))\/(-7*22\/77).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/77290 and -58\/17995.\nAnswer: 4714690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u + 18*u + 0*u + (3 - 4 + 0)*(-4*u + 5*u - 2*u) + 1 + 2*u + 1 - 3*u + (-5*u + 3*u + 0*u)*(17 - 16 - 7).\nAnswer: 34*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12101 - -24110444?\nAnswer: 24123100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3*w*w**(-2\/15)*w assuming w is positive.\nAnswer: w**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 8:23 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2. Let n(r) = -r**2 + r. Let k(d) = -5*d**2 + 6*d. Let p(m) = -m**2 - 2*m + 4. Let u be p(-3). Let i(h) = u*k(h) - 6*n(h). What is i(a(j))?\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -247340.9 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27512322947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.03689071*-4\nAnswer: 0.14756284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2588\/94369?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b + f - 11, 4*f + 10 = b. Let p(a) = 8*a. Let q be p(b). Let y = -20 - -32. What is the greatest common factor of q and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 less than 4447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-168)\/(-66))*(-45 - 1106\/(-6))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164782351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-7\/5))\/y**(-9))\/(y**5\/y**13) assuming y is positive.\nAnswer: y**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 14\/5*q**2 - 22\/5*q**3 + 16\/5 - 2\/5*q**4 + 2\/5*q**5 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5177b2 + -5?\nAnswer: -5177b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-8) - 38\/(-8). Suppose -3*j = -7*j - k. Let t be (j\/3)\/(6\/(-72)). Solve -3*z = -0*a + 3*a, t*z = 3*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -12*b**3 - b**2 - 3*b - 2. Let t = 6897 + -6894. Let y(q) = -13*q**3 - 2*q**2 - 4*q - 3. What is t*a(o) - 2*y(o)?\nAnswer: -10*o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 3*j**2 + 5*j - 8. Let s be r(-6). Let m(z) = -z**2 - 6*z + 5. Let d be m(-5). What is the greatest common divisor of s and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21 + (-7)\/7 + 6. Calculate the highest common divisor of 1742 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 868 - 153 - 1624 - 2050 - 978 + 7401*b with respect to b.\nAnswer: 7401","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7106 is divided by 608?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3091*w + 41 = -3095*w - 7, -3*b = 12*w + 150 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -w + 3, -5*w - 25 = 4*g - 22. Solve 1 = -2*c + 3*y - 1, g*c = 5*y - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -336*v - 590*v - 144*v - 211*v + 116*v as b*v + c and give b.\nAnswer: -1165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 5*q**2 + 5*q + 2. Let t be u(-3). Let n(p) = 3*p + 3. Let b(w) = -2*w - 1. Let d(c) = 5*b(c) + 3*n(c). Give d(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z - 8. Let h = -8 - -2. Let t(j) = -j - 1. What is h*t(g) + x(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 13 (b) -5 (c) 1 (d) -2\/15 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 94. Suppose u*m - 3719 = 481. What is m rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(32))**2 + -4 + -5 + (-4*1*sqrt(2))**2)*-2.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 940*n**2 + n + 1. Let j be x(-1). Let s be 1\/(5*6\/150). Suppose 0*y = -s*y + j. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 21*i**2 - 27*i + 1073. What is k(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*x = -15, 5*x + 25 = 4*f - 0*x. Suppose f = -13*v + 12*v. Differentiate -4*r**4 - 2*r**4 + v + 0 - 1 with respect to r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qufa when four letters picked without replacement from aaabuaqauauqqafaua?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*g + 2*s, 9*g - 2*g - 28 + 66 = 5*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -16*p**2. Let y(j) = -19*j - 1. Calculate v(y(k)).\nAnswer: -5776*k**2 - 608*k - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - 135 = -5*k, -k - 4*v + 44 = 0. Let q = -4 + k. Let o = -6 + q. Calculate the remainder when o is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2322.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-1808)\/(-339))*(8 - 256)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - i - 2. Suppose -11 = -7*u + 17. Suppose 2*g - u*f + 5*f = -6, -2*f - 9 = g. Let c be n(g). Solve s - 2 = c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-9 - (-4 - 7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 153, 170, 207, 270, 365, 498, 675?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002464 (base 7) to base 13.\nAnswer: 836a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j**3 - 7*j**2 - 2*j. Let v(m) = 17*m**3 + 15*m**2 + 4*m. Give -6*v(p) - 13*y(p).\nAnswer: 2*p**3 + p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l - q = -90, 4*q = 0. Calculate the remainder when l is divided by -1 - -1*36\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in -1\/6, -1\/2, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1702 is divided by 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 0 + -29 - -2. Let p = -6 - r. Let a = 115 - 55. Calculate the greatest common factor of p and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 67, 65, 63, 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34129651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in -2, -5, 2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 4:36 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 = -7. Let z = -3 + j. Let y(p) = p**3 - p - 3. Calculate y(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**5*n**2 - 17089*d**4*n**2 + 208*d**2*n**2 + 101*d**2 wrt d?\nAnswer: 180*d**2*n**2 - 410136*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 6*m - m - 36, 0 = -2*w - 5*m + 67. Suppose -2*x - w - 23 = 0. Let a = -3 - x. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.5 + -2.5. Let i = k + 14.9999995. What is i rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/18*5544\/(-315).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1232177511 to the nearest integer?\nAnswer: 35102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623616.5kg to micrograms.\nAnswer: 623616500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/37509875 and 59\/875?\nAnswer: 262569125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 88*m - 32. Determine w(-1).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 16*k - 6. Let j(o) = -o - 1. Give 5*j(s) - r(s).\nAnswer: -21*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 144332413 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2527.2 - 2527.213491. What is z rounded to four dps?\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x**2 + x. Is 6 a factor of m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/11)\/n**(1\/2))\/((n\/(((n**(-1\/5)*n)\/n)\/n))\/(n*n**(-7\/5)*n))*(((n*(n\/(n\/(n*n**(-5\/3))))\/n)\/n)\/n**0)**(-43) assuming n is positive.\nAnswer: n**(22897\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.7763 rounded to one dp?\nAnswer: 30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - i)*((4*i - 7*i + 2*i)*(-3 + 1 + 1) + (5 + 3 - 1)*(i + 2*i - 6*i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14664)\/(-7755))\/((-351)\/(-270)).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7194 + -6948. Calculate the remainder when b is divided by 101.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + 3*2\/3. Let i(h) = h**3 + 10*h**2 + 12. What is the remainder when 22 is divided by i(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(35))\/sqrt(5))**2 + (sqrt(189)\/sqrt(3))\/sqrt(9).\nAnswer: sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y + 3. Let g be s(2). Suppose 2*k - g + 9 = 0. Let u be (-3 + 99 - -4)\/2. What is the highest common divisor of k and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-6))\/((-2)\/216)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 971 - 962. Calculate the remainder when 43 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5928.93 + 2456.4.\nAnswer: 8385.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 143014*w**3 + w. Let u be v(-1). Let h = -244015 - u. What is h rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25532 - -25534. Solve 4*i + 6 = d*y, -5*i = 53*y - 54*y + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177?\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 + -143. Factor -31 + 12*p**y - 8*p + 31 - 4*p**4.\nAnswer: -4*p*(p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*k - 5*x + 955 = -77*k, -4*k = 2*x - 1870. What is the greatest common divisor of 1209 and k?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (4 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*w**3 + 213*w**3 + 181609 - 181609.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 53 = -4*z + a, 3*z - 5*a = 48. Let m be 2 - (-17 - (0 - (-6)\/2)). Suppose -m*f + 215 - 61 = 0. What is the smallest common multiple of f and z?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129551*d*s - 52407*s - 1 wrt d?\nAnswer: 129551*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2862627\/122 or -23463?\nAnswer: -23463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 660974267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 332*b - 4. Let x be g(6). Suppose -506 = -n - 0*c + c, x = 4*n + 5*c. Let k = n - 339. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069 is divided by 156?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 10:25 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741865067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let f(h) = -87039*h. What is t(f(v))?\nAnswer: -87039*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 1600, -4, 183 in decreasing order.\nAnswer: 1600, 183, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-1)\/(6\/21). Let g = j - 2. Solve -5*r - 25 = -k + 6*k, -5*r - g = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 98*u**3 - u - 2*u.\nAnswer: -98*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 243 and 2259.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 170 = 4*a, 414 = 9*h - 4*h - a. Does 32 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 4 + 4*p**5 + 1 + p + (-2*p + 2 - 2)*(2 - 2 - 2*p**4) + 2*p**5 + 2*p**5 - 3*p**5 + 2*p**5 - 5*p**5 + p**5.\nAnswer: 4*p**5 + p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, h: 8, j: 1, a: 1, z: 2}. Give prob of sequence ja.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15293 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276.38436 rounded to the nearest 10?\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 4:31 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000085535 to six decimal places.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 3*d - 1. Let p(k) = 4*k**3 - 17*k**2 + 40*k - 18. Let m(l) = -2*p(l) + 6*q(l). Solve m(n) = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1363*t - 4085. Give k(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-8))\/((-56)\/(-64)))\/(-2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3bc0 + 1628?\nAnswer: 5408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 9*y**2 + 2. Let h be b(-9). Suppose 5*i + 4*m - 1 = 0, -2*i = h*i + 2*m - 2. Calculate the highest common factor of 11 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdnz when four letters picked without replacement from {k: 2, d: 6, t: 3, z: 3, n: 3}?\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/3 (b) -0.01 (c) 6 (d) -3\/7 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-12 - -1)) + (1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(20)*-3 - sqrt(5))**2 - -3*sqrt(20)) + ((sqrt(495)\/sqrt(9) + sqrt(55))*4 + sqrt(55))\/sqrt(11) + -3).\nAnswer: -484 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -779949 divided by -3?\nAnswer: 259983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5790060 divided by 171?\nAnswer: 33860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 24 + 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1774 and 10780598.\nAnswer: 1774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7894*q - 7909*q = -1080. What is the least common multiple of q and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r**2 + 92*r - 1580. Give k(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q. Let m(g) = -g**2 + 45. Let s be m(q). Let o be (-11)\/(-9) - 10\/s. Sort 5, -4, o in decreasing order.\nAnswer: 5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3389217*v**2 - 11*v - 24. Let g be f(8). Round g to the nearest one million.\nAnswer: -217000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((360\/(-12))\/(-10))\/(6\/(-4)))\/(10114\/(-1945))\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000111001001001 + -10000001000?\nAnswer: -1011001001001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3941 - 6?\nAnswer: -3947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 8:32 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -20*n**2 + 4*n**4 + 26*n**3 + 0*n**5 - 8*n + 37*n**3 + 4*n**5 - 75*n**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + -18)*4\/52?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 176 + 15 = -7. Solve -x + h = -3*i, 5*x + 13 = 9*x - i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134*c + 187 with respect to c.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a**3 - 8973*a**2 - 2246*a + 1485. What is x(748)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 40. Let d = 10 + g. Let z = 22 + d. Solve -2*o = -6*o + z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 - -0.3. Suppose -40*y = -38*y - 50. Let q = -21 + y. What is the nearest to 1 in 0, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 7*r - 5*s - 5, 5*r = -4*s + 62. Suppose -13*q = -16*q + 282. Let m = q - -4. What is the least common multiple of m and r?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-1))\/(1\/4). Let h(d) = d - 1. Let q(n) = -3*n + 2. Let w be 4\/(20\/(-15)) + 1. Let b(z) = w*q(z) - 5*h(z). Determine b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/4))\/t**1*t\/(t*t\/(t**(2\/21)*t))*t**0*t*(((t**(-3\/4)\/t)\/t)\/(t*t*((t*t**(2\/3))\/t)\/t*t*t))**(5\/7) assuming t is positive.\nAnswer: t**(-157\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 - 161. Let o = -71.2 - q. What is the closest to o in -0.2, -4, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -2. Suppose 0 = 2*c + j - 5, -c + 11 = 3*c + 3*j. Solve 0 = -q*x + x - 5*i + 15, 0 = -3*x - c*i + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459908002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307783349?\nAnswer: 3, 131, 1109231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -3*m - 199. Solve -18 = -4*w - 3*y + 10, m*y = 5*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 269265072132.\nAnswer: 269265072137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/24 and -25\/136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7644978583 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32870 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v - 26*v - 2*v - 294 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 = 21. Solve -5*v = u*q, 0 = -0*q - 5*q - 4*v - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 2*w + 0*w + 5 - 5 - 2*w - 3*w - 2*w + 4*w + (1 + w - 1)*(2 - 2 - 1) + 2*w + w - w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(3\/5))\/h)\/h)\/(h\/(h\/(h**(-2\/11)*h)))*(h\/(h**11*h))\/h*h*h\/((h\/(h*h**(2\/15)))\/h*h)*h)**(-32) assuming h is positive.\nAnswer: h**(59584\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 407*b*h*s*x + 217*b*h*s + 2*b*h*x**2 + 206*b*s + 69*b*x - 6*x**2 wrt h?\nAnswer: 407*b*s*x + 217*b*s + 2*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128781837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*h + 77 - 156 + 79 as f + o*h and give o.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -73*r**3 + 2*r + 1. Let p be m(-1). Suppose -5*y + 96 = -y. Suppose 4*i - y = i. What is the greatest common factor of i and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 5*d + 16, 6*d - 7*d - 2*o + 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 + 30\/(-1400)*-32. Sort -0.02, o, -3\/4 in decreasing order.\nAnswer: o, -0.02, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 29*y + 1827. Give m(-61).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 273571.7 rounded to the nearest one hundred?\nAnswer: 273600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**6\/12 - y**5\/10 + y**4 - 4*y**3\/3 - 2*y**2. Find c, given that x(c) = 0.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*x - 2*j = -145*x + 27, -4*x = -4*j + 44 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -4*4*(-2 + sqrt(108) + 2 + 3))*-3)**2.\nAnswer: 84672*sqrt(3) + 270441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(88) - (sqrt(88) + sqrt(88)*-2 - sqrt(88)))*6 - sqrt(88)*-2*6)*3)\/(((sqrt(88)*-2 + sqrt(88) + sqrt(88))*2 - sqrt(88))\/sqrt(11)*-6).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843468 to the power of 1\/2, to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8164 is divided by 2716?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -3923\/1088?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + r. Let v(s) = 4*s**2 - 2*s + 2. Let x(m) = -3*a(m) - v(m). Give x(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -15, -71, -159, -285, -455, -675?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 36, 31, 24, 15, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 6*f + 5*f + f. What is the common denominator of 83\/10 and o(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 8*q - 1. Let n be f(-7). Is 2041 + n\/(0 - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -350.18 + 351. Let d = -1.12 + v. Sort -15, d, 3\/5, -1 in descending order.\nAnswer: 3\/5, d, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 14*w**3 + 5*w**2 - 5*w - 5. Suppose 126 = y - 337*b + 341*b, -y + 120 = 2*b. Let x(k) = 323*k**3 + 114*k**2 - 114*k - 114. Give y*t(v) - 5*x(v).\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1792 and 866144?\nAnswer: 48504064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhf when three letters picked without replacement from ffhrrxrr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 7*l - 2. Let d be p(-8). Suppose 43 = x + d. What is the remainder when x is divided by (-13)\/((-1)\/(-2 + 3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2 - -1) - 0. Suppose -n*h + 9 = -0*h. Suppose -2*q - 66*q + 340 = 0. Solve 2 = q*r - h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559, -1114, -1669, -2224?\nAnswer: -2779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2497316369.\nAnswer: 37, 151, 443, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Let m(n) = -39260*n. Calculate f(m(o)).\nAnswer: -1541347600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, t: 1, q: 1}. Give prob of sequence tqff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 886, 0 in decreasing order.\nAnswer: 886, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -707, -22\/19, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040125 to four decimal places.\nAnswer: -0.0401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - ((-24)\/88 + (-2121)\/(-33)). Sort i, 13, 5 in descending order.\nAnswer: 13, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-12))\/((-10)\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/324030 and -143\/150.\nAnswer: 1620150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6050 divided by -8.\nAnswer: -3025\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*l + 189563 = 0, -17068 + 80247 = m - 3*l. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 900.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44331.\nAnswer: 3, 7, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5 = 2*q - 5*o, -5*q - 5*o = 55 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -27*x**2 - 2*x - 3. Let w be d(6). Let m be 1\/3 - w\/9. Suppose y + y = m. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -140670 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -140, -241, -340, -437, -532, -625?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g\/(g*(g*g**5)\/g*g)))\/g*g)\/g**(-2\/3)*((g\/(g**(2\/3)*g*g))\/g)**(3\/14)*((g*g**(-1))**15)**(-29) assuming g is positive.\nAnswer: g**(170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 + 74 = 27*p. What is the highest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 6*p + 6. Let x be (-2 + 2 - 1) + 13. Suppose 4*u = -x - 8. List the prime factors of g(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5 + 60200*s**4 + 2293232*s**3 + 2172824*s**2 - 2293228*s - 2233024 = 0. What is s?\nAnswer: -37, -1, 1, 15088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 115816 and 0.4.\nAnswer: 46326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 5*t - 3. Let w be h(5). Calculate the common denominator of -43\/12 and -6 + 2\/(5 - w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -273.53 + 273. Let j = -0.13 - g. Sort 2\/17, j, 2.\nAnswer: 2\/17, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**4 - 51842 + 38*q**3 - 7*q**4 + 51841 to the form j*q**4 + k*q**2 + t*q + y + h*q**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 0*d + 2*d - 11*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.6791349 rounded to 3 dps?\nAnswer: -54.679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -361680441*n**3 - 329923477 wrt n.\nAnswer: -1085041323*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eppepwewpcc. Give prob of picking 1 c and 1 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5. Let i(f) = -f - 4. Let u(t) = 5*i(t) + 4*l(t). Let p(k) be the second derivative of -1\/6*k**4 + 0*k**2 - 4*k + 0*k**3 + 0. Give u(p(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8907 and 10374.\nAnswer: 30800406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -327.68183 - -327.7. Round m to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10679619 is divided by 124?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15.3, 4, 2\/9, 164, -4\/5?\nAnswer: 15.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1205 + 831. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 9*l**6\/40 + l**4\/3 - 11*l**2 + 14. Let k(f) be the second derivative of a(f). What is the second derivative of k(c) wrt c?\nAnswer: 162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -202, -510, -922, -1432, -2034?\n\"Answer: f**3 - 58*f**2 - 141*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 97 in -0.4, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7674 times -1.584?\nAnswer: -12155.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(-12)*16\/(-28). Find the third derivative of 75*d**6 - 49*d**j - 55*d**2 + 12*d**2 + 8*d**2 wrt d.\nAnswer: 9000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*2\/(-50)*(-40)\/16. Let r = 446 - 441. Which is the closest to 0? (a) 4 (b) l (c) r (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8372, -8371, -8370, -8369, -8368, -8367?\nAnswer: -8366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t**2 + t + 21*t**2 - 59*t**2 - 2 - 30*t**2 to the form r*t**2 + k*t + z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10*-5 + 2. Suppose -r*j + 2*j = 1. Let l = 327\/1169 + 1\/167. Which is the closest to 0? (a) 0 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -64289, -64293, -64301, -64313, -64329, -64349?\n\"Answer: -2*f**2 + 2*f - 64289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26390 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1967*b**2 + 34*b. Let p(u) = -328*u**2 + 6*u. Determine 6*h(v) - 34*p(v).\nAnswer: -650*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -6*l + l. Suppose l*k = 17 + 8. Calculate the lowest common multiple of -22*((-3)\/(-2) - 2) and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-5))\/(5256\/(-32850))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - (-18 + -121)) + -41\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 315363676 and 14?\nAnswer: 2207545732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*v - 6*v + 2*v**2)*(-33 - 18 + 37)*(66 + 103*v - 66) in the form f + o*v + q*v**2 + j*v**3 and give j.\nAnswer: -2884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*j + 9 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -16.329588.\nAnswer: -16.329588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 4*t**2 + 2*t - 1. Let l be c(3). Let d be -15*(0 - 1\/3). Let u = l + d. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Let f(a) be the second derivative of -a**4\/4 - 101*a**3\/3 + 1093*a. Give f(q(m)).\nAnswer: -12*m**2 + 404*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 4*y**2 + 4. Let b be l(4). Let r be (2\/(-4))\/(b\/16). Calculate the smallest common multiple of 6 and 3 + 1*r\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01201 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 - 10*q**2 + 1 + 9*q**2)*(3*q**2 - 3*q**2 - 2*q**2) to b + z*q + k*q**4 + r*q**2 + x*q**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 + 123. Let x(d) = d**2. Give x(c(q)).\nAnswer: 9*q**4 - 738*q**2 + 15129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/2531760 and -123\/15070.\nAnswer: 2531760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1252592231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1407 - 1406. What is the nearest to -3 in -0.2, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-132)\/(4 - 2) + -3. Does 19 divide (-2)\/4*(h + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:34 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.55 (b) 0.3 (c) 30 (d) -0.4 (e) -926 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 107*k - 108*k - 195, 2*u - 360 = -3*k. Let d = 40 - 28. What is the remainder when u is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 37730?\nAnswer: -1\/18865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08562 in -1, -1\/3, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -330*w - 4552. Calculate i(-18).\nAnswer: 1388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 399, 435, 495, 585, 711?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - r**3 + 8*r + 10*r**2 - 8*r.\nAnswer: -r**3 + 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 13) to base 9.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49247?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14))\/((-1)\/(7\/2))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10*l**3 - 29*l**2 - 392*l + 23. Calculate n(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = s - 4607, 2*k - 18418 = -4*s + 5*k. Let j be 30\/20 + s\/(-2). Round j to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*r + 29 = 0, 9*o - 3*r = -118 + 97 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22838 or -22843?\nAnswer: -22843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 614 - 3064\/5. What is the nearest to -0.1 in 4, b, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12613\/140 + -638\/7. Calculate the common denominator of 23\/74 and o.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m - 76. Let r(n) = 5*n + 3. Calculate -4*r(z) - w(z).\nAnswer: -14*z + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22493 and 57519.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**2 - 15*p + 2*p**2 - 6*p**3 + p**3 - 11 + p**3. Let x(m) = 2*m**3 + 2*m**2 + 8*m + 6. Let c(b) = -6*a(b) - 11*x(b). Factor c(f).\nAnswer: 2*f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 2, f: 2}. What is prob of sequence qe?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -31*t**4\/12 + 2*t - 90. Determine j(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/210168 and 137\/40032.\nAnswer: 840672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7499*n - 52463. Calculate t(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410379 = 4523*b + 107338 for b.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -13*h**5\/10 - h**4\/12 + h**2\/2 - 113*h. Suppose -4*r = -r + 12, -5*i + 2*r + 3 = 0. What is k(i)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 - 111 = 4*s. Let q = s - -94. Suppose k = 2*a + q, 5*k - 3*a - 141 = -6*a. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**5\/20 - 5*a**4\/6 - 4*a**3\/3 + 13*a**2\/2 - 19*a - 2. Calculate z(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 22293.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 7. Let j = -30 - -33. Let g be 2\/(-4) + j\/6. Calculate v(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9824454*z**3 - 51710*z - 542 wrt z?\nAnswer: 58946724*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 + 4*f**2 - f + 4. Let n be m(3). Let u = n + 28. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28*((-13)\/2 + 7)*1. Solve -a*c - 5 = 37 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9664.496394 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89723 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, f: 2}. What is prob of picking 1 f and 1 e?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypyyeryyryyypeyppyy. What is prob of picking 2 p?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w + w)*(8*w**3 - 4*w**3 - 6*w**3)*(-2 + 3 - 2).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109944.\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*n**3 - 135*n**2 + 225*n\/2 - 125\/4 = 0 for n.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12185238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 646780 + -9957.\nAnswer: 636823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1817 and -30922.7.\nAnswer: -56186545.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 155*d**3 + 6*d + 154*d**3 - 5*d + 2 - 9*d - 4*d**4 as v*d**2 + i*d + l + p*d**4 + f*d**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43.27 + 42.87. Sort 2623, k, -3.\nAnswer: -3, k, 2623","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32 (b) -1 (c) 3\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155 by -31.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 208303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-4) + 3)\/((-1)\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283439, -2267874, -7654271, -18143612, -35436879, -61235054, -97239119, -145150056?\nAnswer: -206668847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 - (-1)\/3. Let h(v) = 11403*v - 68423. Let w be h(6). Which is the closest to n? (a) w (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + 106\/(-34) + (-4 - 0). Let l be (-5)\/(-10)*-3*(-66)\/27. Sort l, k, -1 in descending order.\nAnswer: l, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15620936603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9491.\nAnswer: 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 1. Let h(p) = p**2 + 20*p + 4. Let d(t) = -h(t) + 6*x(t). Let f be d(-14). Solve -5*g - 5*a = -0*a, f*a + 4 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.4 - 14. Is 8 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4343571 is divided by 1679.\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*0.4457958.\nAnswer: 5.7953454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 - 39220*h**3 - 1534650*h**2 - 19972420*h - 86594755 = 0. What is h?\nAnswer: -13, 7883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from wfhfha?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 568 and 1192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -28*p**3 + 8*p**2 + p + 13. Let g(z) = 7*z**3 - 2*z**2 - 3. Let v(i) = -9*g(i) - 2*y(i). Determine v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4879658 is divided by 419?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t + 2. Let q be f(-4). Let k = -6 - q. Suppose 2*o - 16 = -5*s, 3*o - k*s + 3 = 4. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 29164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13647730 rounded to the nearest 100000?\nAnswer: -13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 5. What is the remainder when 20*(-5)\/12*-3 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**4\/4 + 5*z**3\/3 + 3*z**2\/2 + 3*z + 5. Let i be m(-5). Let n be 6\/(-4)*(-8)\/i. Let y(c) = -c - 2. Calculate y(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let h(t) = -t**2. Let v(d) = -8*d**2. Suppose 0 = 3*o + 32 + 22. Let s = -12 - o. Let m(j) = s*h(j) - v(j). Determine m(a(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + 3*sqrt(176)*-3)**2 + -3 + 0.\nAnswer: -216*sqrt(11) + 14257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -27*j**2 + 46. Let w(y) = 0*y**2 - 3*y**2 - 83 + 83. Give w(x(o)).\nAnswer: -8748*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 53.551344 hours?\nAnswer: 0.318758","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from eeoaeaaxaeeexx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o + 2*s, 0 = o + o + 5*s + 10. Suppose 5*b + 2*h - 5*h = 0, 3*b + 2*h - 19 = o. Solve 10 = 8*z - b*z + 4*n, -n = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d - 7. Suppose -6*i + 25 = -i. Suppose i*c + 15 = 2*c. What is s(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47782*b**3*k + 3973*b**3 + 1119*b**2 - 586*b*k + b + 9*k - 1 wrt b?\nAnswer: 286692*k + 23838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 10*s + 12*s = -2829, 4*h + 5*s - 3749 = 0. Calculate the remainder when h is divided by 310.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 16608*x**2 - 49876*x - 66480.\nAnswer: 4*(x - 4)*(x + 1)*(x + 4155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 54*y - 381. Determine j(10).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 254 = -6*d - 116, 0 = 2*o - 5*d + 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 9. Let m(t) = -8. Calculate 2*g(j) - 3*m(j).\nAnswer: -2*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 32*d**3 + 12*d**2 + 2*d - 15*d**2 - 2*d to i + k*d**3 + n*d + l*d**2 and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -1.1, 2\/9, 4\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -373150*n**3 + 4846040 with respect to n.\nAnswer: -1119450*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.332 - 60.198. What is k rounded to the nearest integer?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -355?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r*r**(4\/7))\/r*r*r*r)))**(-2\/7)\/(r**10\/(r*r**(5\/3)*r)) assuming r is positive.\nAnswer: r**(-1081\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 9:40 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37915878 by -6006.\nAnswer: -6313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18779.\nAnswer: 89, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + -8a?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51.19 - -54.19. Which is the closest to 2\/3? (a) u (b) 77 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 - 47*k**2 - 61*k + 217. Determine n(-3).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (-3 - (-22 - -20) - (5 - 4 - 9))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65262 and 2190.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2. Let o(x) be the first derivative of -x**4\/8 - 5*x**2 - 8. Let i(f) be the second derivative of o(f). What is i(q(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 - (19 - 24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from uucxczxn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 23 + 21. Is ((-2422)\/(-5))\/(l\/110) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {k: 2, q: 1, p: 1, r: 1, u: 2, i: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.5733 * -0.5\nAnswer: -0.78665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/((-5)\/(-45))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uku when three letters picked without replacement from ukvuuuv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 139624 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 21*x - 241 = 0, 4*x = -5*b + 138 - 104 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 - 91*o - 480. Calculate r(-5).\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 7*b + 14. Let q(g) = -11*g**2 + 263*g - 27. Let z(s) = -4*s**2 + 98*s - 9. Let x(k) = -3*q(k) + 8*z(k). What is 5*a(w) - 7*x(w)?\nAnswer: 3*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a*(a**(3\/7)\/a)\/a*a*a*a)**(-2\/3)*a**(-9\/2)*a**(-11))**(10\/11) assuming a is positive.\nAnswer: a**(-365\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 - 18*y + 28 = 0. What is y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s + 20*s - 42*s + 5094889 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (11 - -13 - 10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = 2*d. Let h be 2 + 1 + -7 + (-2968)\/(-424). Solve d*s = -h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 7*k**2 + 6*k - 6. Let d be z(6). Let s = d + 9. Sort -5, 2, s in ascending order.\nAnswer: -5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8 - 22*p + 0 + 12*p + 7*p. Let b(a) = 2*a - 5. Let n(v) = -8*b(v) - 5*h(v). Let m(k) = -6*k. Give n(m(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -381, -415, -459, -519, -601?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/3)\/(3 + 16\/(-6)). Let d be -4 - (w - (4 - 6)). Let r = 8 - d. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + l + 1. Let p be 2\/(-3)*3*2. Let g(a) = 2*a - 4*a + 3 + 3*a. Let n be g(p). What is t(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, u: 2, y: 2}. Give prob of picking 2 y, 1 u, and 1 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/15303924 and 149\/1700436?\nAnswer: 15303924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -24*x - 139. Determine c(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, -7, 0.2, 1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 145*d*z**2 - 2*d + 847*z**4 - z**2 + 1430174 wrt z.\nAnswer: 290*d*z + 3388*z**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20470*l**2 - 20471*l**2 + 81881*l**2 - 20472*l**2 - 20471*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60344928?\nAnswer: 2, 3, 7, 37, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**17*z*z**29\/z*z**(8\/3)\/z*z*z**(3\/5)*z*z assuming z is positive.\nAnswer: z**(784\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*y + 2*o, -3*o + 1 = -8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - (-1 + 4)) + 53 + -55?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/131690 and 21\/5630?\nAnswer: 74141470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 66359 = d, -d = -5*s + 42464 + 40478. What is the highest common divisor of 53 and s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1890 and -26\/65415.\nAnswer: 1177470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = 11*x - 132, -52*x + 47*x = 5*h - 65 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33812 + -33812. Sort -62, 3\/2, 4, d, 2 in ascending order.\nAnswer: -62, d, 3\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1600)\/4000*75\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - 10) + 2 + -3. Let h be ((-72)\/126)\/(x\/7). Suppose 0 = -h*y + 311 - 27. What are the prime factors of y?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2550 divided by -510\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.5 - 5. Let f = d - 6. Let m be 10\/(-14)*((-115)\/25 + 5). Which is the closest to -0.2? (a) m (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4502*b**4 + 4566*b**4 + 2*b**2 - 2*b**2 - 245 wrt b.\nAnswer: 256*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15377\/1250 + 1\/625. What is the common denominator of 23\/3 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/4)*t)**(20\/9)*(t\/(t\/(t*t**22)))**(-22) assuming t is positive.\nAnswer: t**(-4559\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b*(b\/(b*b*b**(-4)*b))\/b*b)\/(b**5*b*b\/((b\/((b\/(b\/(b*b\/(b*b*(b\/(((b\/(b*b*(b\/(b*b**(2\/25)))\/b))\/b)\/b))\/b*b))))\/b))\/b)) assuming b is positive.\nAnswer: b**(73\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 + 23*s - 21. Let y be f(-9). Let g be (-3)\/y*(0 - 0). What is the biggest value in -3\/5, g, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -360*v**2 - v + 10038 wrt v?\nAnswer: -720*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 24. Let t = -82.2634 + 0.0634. Let r = t + 82. Which is the second smallest value? (a) 0.1 (b) r (c) -1\/6 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -20700.748?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 12*t**2 - t - 26. Let f be z(-12). List the prime factors of (3 - 1362\/f) + (-6)\/21.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 14058973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05555029 rounded to 4 decimal places?\nAnswer: -0.0556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*440\/(-105) + 15\/35. Solve -10*r + 12 = -a*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a - 6 = -26*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 61.\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -51, -100, -159?\n\"Answer: -5*q**2 - 24*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 335?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/19))\/(z**(-2\/33)*z) assuming z is positive.\nAnswer: z**(104\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 7*a + 1. Let m be k(-6). Let u = 1 + -0.7. Let l = 0 + u. What is the smallest value in l, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + -42. Suppose 4*g - l = 253, 2*g + 3*l = 40 + 69. Let v = g - i. What is the highest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 17 - -6)\/(-1). Suppose 5*i = -3*l - 74, 4*i = -z*l + 3*l - 64. What is the nearest to 0 in i, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**5\/60 - n**4\/3 + 5*n**3\/6 - 2*n**2. Let k be h(5). Let t = k - -120. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from sasxybibbasaxba.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 5*c - 4. Suppose n - 5*n = -12. Suppose 2*y = n*a - 46, -y - 23 = -4*a - 6*y. What is the least common multiple of a and r(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -137, -273, -409, -545, -681, -817?\n\"Answer: -136*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = u - 6*r + 16, 2*u - 2*r = -8. Let a = 13366 + -13370. Sort 4, a, u, 7.\nAnswer: a, u, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/63 - 264\/(-7). What is the third derivative of -4*h + 6754 - h**2 - 6754 - q*h**3 wrt h?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -213498*m**4 + m**2 - 39067*m wrt m?\nAnswer: -5123952*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18013, -35724, -53433, -71140, -88845, -106548?\nAnswer: -124249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113300 and 4675?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*p = -2, 2*t + 2*t + 5*p = 40. Suppose -2*q = -t*q + 9. Suppose -k - q = 0, -4 - 8 = 4*w + 4*k. Solve -3*s + 25 + w = 5*f, s - 3*f = -1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/48 and (-3)\/(-15)*(-33920)\/7168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*d + 1. Solve d*x - x + 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3915 + 6989. What are the prime factors of m?\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -392 + 175. List the prime factors of p\/(-4) + 1 + (-15)\/12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 13. Let m be w(-4). Suppose -i = -m - 3. Calculate the greatest common factor of 216 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23 - (-18 + 16 - -4*1). Suppose 18*g - v*g = 3*f - 21, -13 = -4*f - g. What is m in 0 - 16\/5*m**f + 12\/5*m**3 + 8\/5*m**4 - 16\/5*m - 4\/5*m**5 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-9))\/2*12. What is the first derivative of 4*y**4 + 36 - 13 - 10*y**n - 8 wrt y?\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101001101011100001 + 10?\nAnswer: -1000101001101011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32758966)\/85 + 40\/25 + -2. What is y rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -397? (a) -34.78 (b) -5 (c) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491676996.\nAnswer: 2, 3, 3557, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103095 is divided by 51545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303303 - -11?\nAnswer: -303232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f + 30 = 12*f + 264 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4973951787 rounded to five dps?\nAnswer: 0.4974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:55 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 + 12013374*t**3 + 72160601458682*t**2 + 288642261674256*t + 288642213620768.\nAnswer: (t + 2)**2*(t + 12013372)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (4 + (6 - 4))) + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 66*z - 297. Let o be u(-4). Sort 0, 5, o, 4, -55 in ascending order.\nAnswer: -55, o, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4070 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 790646.9 centimeters?\nAnswer: 7906.469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 12:48 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -12*m + 75. Calculate v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**2 - 81*l + 74. Give s(10).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - (-1 + -9 - 1 - (-76 + 76)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2)*((-297)\/(-308))\/27.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 - 6096*n + 2468*n + 3*n**3 + 3628*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -11380 - -11427. What is the remainder when 522 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9990 - 3132. Suppose -11*k + r + 754 = 0. List the prime factors of k.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746668717 to the power of 1\/4, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3547274643 to the power of 1\/2, to the nearest integer?\nAnswer: 59559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiwxjxjx. Give prob of sequence jx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/264*2*(-3)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37031055*h - 37031055*h - 31 + h**2.\nAnswer: h**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(8)\/sqrt(4) - sqrt(2)) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**4 - 476*h**3 + 5600*h**2 - 9328*h = 0.\nAnswer: 0, 2, 11, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((484\/154)\/11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/11 + -52\/33. Sort 0, x, -4.2.\nAnswer: -4.2, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyryy. What is prob of picking 1 y and 1 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g - 54. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - w - 2. Let t be y(0). Let f be (9\/6)\/(2\/4). Let j(m) = f*m - 3*m + 2 + 3*m. Let h(v) = 7*v + 5. What is t*h(n) + 5*j(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6480477841271859 - -368355982.2519527958728141. Let p = u - 368355991. Let v = -5.1 - p. What is v rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 22*g + 25. Suppose 919*s - 80 = 917*s. List the prime factors of o(s).\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -0.1 (c) 1 (d) -8\/3 (e) -2\/19 (f) 0.0187\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 14 + 1 + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 714 + -725 + (-4 + -22 - -3 - -4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 6*u - 84. Let m = u - -43\/2. Let x = m - -20\/3. Which is the third smallest value? (a) 2 (b) 2\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7106520 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2695 divided by -33.\nAnswer: -245\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + (-17 + -1 - (58 + 2 - 81))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1330661 - -12?\nAnswer: 1330673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 36*n**2 + 30*n - 90. Let y(z) = 5*z**2 + 4*z - 12. Let r(u) = -2*q(u) + 15*y(u). Let o(w) = -1888*w. Give r(o(k)).\nAnswer: 10693632*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006631107 to five decimal places.\nAnswer: 0.00663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 - 11*y - 26. Let r be p(-4). Let m be -6*r\/54 + (-5)\/(-3). Solve -36 + 12 = 3*s + 3*v, -2*v = -m*s - 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192914375.\nAnswer: 5, 308663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -11 + 22 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 11:23 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43 and -10.3637434.\nAnswer: -53.3637434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 25*v**2 + 158*v - 25. Give j(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 73, 84, 97, 112, 129?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18583 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1541266?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/19491976 and -83\/68313.\nAnswer: 58475928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-44))\/(221\/(-11) + 20). Let n be 1\/3 + (-4)\/3. Let x(v) = v**2 - 2*v - 2. Let f(a) = -a. Calculate n*x(k) + w*f(k).\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -92\/29 equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 1 s when three letters picked without replacement from {s: 1, r: 1, j: 1, f: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1595 and 76837211?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/42 + 78\/14. Let t be (2\/4)\/(20\/(-40)). Sort 6, t, f in decreasing order.\nAnswer: 6, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15238772, -15238770, -15238768?\n\"Answer: 2*i - 15238774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 4*g**2 + 3*g - 4. Let t be f(-5). Suppose -t*x + x = -80. Solve x = 3*q + 4*b, -4*q + 2*q + 11 = 3*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.298037ml to litres.\nAnswer: 0.006298037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (190 + 2)*76\/8. Suppose 14*t = 20*t - h. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - s + 147 + 84 = 0, 3*s = -9. Find the second derivative of r**4 + 16*r**3 + r**2 - 104 + g + r - r**2 wrt r.\nAnswer: 12*r**2 + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146623601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o - 31*o + 258 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = -2*r. Let x(h) = h**3 - 4*h**2 + h. Let i be x(4). Sort r, 5, i.\nAnswer: r, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187080.31 plus 398.23?\nAnswer: -1186682.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 407*z**3 + 2*z**2 + 64*z - 447. Is v(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r + 3. Let n(z) = 16*z - 7. Let x(m) = -5*g(m) - 2*n(m). Suppose 3*s + 3*b = -b - 13, 0 = -2*b - 8. Calculate x(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 20*p**3 + 11*p + 6. Let c(r) = 4*r**3 + 2*r + 1. Determine 11*c(q) - 2*s(q).\nAnswer: 4*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-775008)\/26597376 + 2\/148.\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -177607.\nAnswer: -6\/177607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 658.98004 + -659. Round l to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2345750, 4691502, 7037254, 9383006?\nAnswer: 11728758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k + k + 39*k)*(4*k - k - 2*k) + (2*k - 6*k + 0*k)*(-2*k + 2*k - 2*k).\nAnswer: 59*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 136 = 20. Let h = j - -70. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/1*72528. Let a(m) = -39*m**3 - 22*m**2 - 41*m - 42. Let r be a(19). Let k = r + p. What is k rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 y when four letters picked without replacement from {y: 14, z: 4}.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -12594\/35, -4, 4, 8\/5 in decreasing order.\nAnswer: 4, 8\/5, -4, -12594\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t**(-1\/2)*t)**(-3\/40)*(t*t*t**(-1\/4))**(-6\/5))**(-2\/19) assuming t is positive.\nAnswer: t**(189\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 38.3. Let a = 594987.69987 + -594985. Let c = f + a. What is c rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 3:19 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1104\/(-44))\/(-6) - 4. Let i = -0.1 + -0.3. What is the third biggest value in -6\/7, b, i?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + 11 - 10) + -15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 168*k**2 + 1831?\nAnswer: 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*w = -2865, 14380 = 15*v - 10*v - 4*w. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/35)\/(837\/(-5580)))\/(((-330)\/21)\/(-5))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - r + 6*r - 863 = 0, 0 = i - 2*r - 284. Let k = -158 + i. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3599, -3595, -3591, -3593, -3607, -3639?\nAnswer: -3695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115326523 divided by 19.\nAnswer: -6069817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7994824 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (10 + -29 + 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h - 20. What is n(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*x = -111*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -3*p**2\/2 + p + 23. Determine r(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 - (60 - (43 - 5))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33935 in -3, -34, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/525*(-5)\/(-12) + 0)*-6. Which is the closest to 0? (a) -0.3 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 1:48 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 4\/(-4)*7. Sort 2, -2, m, -17 in increasing order.\nAnswer: -17, -2, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24956365?\nAnswer: 5, 7, 713039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -147 (b) 0.184 (c) 4532\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.98685kg to tonnes.\nAnswer: 0.04198685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1)*((-28)\/2 - 1). Suppose -3*l + 3*b + d = -9, 4 = -b. Suppose 3*x = 5*q - 17 + 1, -l*x + 2 = -2*q. Solve 0 = 5*a - q - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 31 - 1252*s + 4.\nAnswer: -1252*s + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 17. Let s(i) = -3*i + 12*i + 9 - 8*i - 2*i. Determine 11*s(q) - 6*w(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5598694940224 minus -1?\nAnswer: 5598694940225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 385135669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 11. Let i be s(10). Let w = 1 - 2. Let t = w - -0.8. Which is the closest to i? (a) 3 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-221)\/(-1564)*483\/2093?\nAnswer: 3\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.47 - 0.444. Let t = k - 0.026. Is 5\/21 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 8:57 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20761.254ns to minutes.\nAnswer: 0.0000003460209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 436 and 1005416?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1991 in -4, 1\/4, 6, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2206 + -2236. Let j(m) = -m**2. Let l be j(0). What is the common denominator of 11\/23 and (l + -1 - 8)*7\/f?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 - (1 - (-2 - 2)). Suppose -4*w - p - 26 = p, m*w - 5*p + 5 = 0. Put 13, w, 2 in increasing order.\nAnswer: w, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 6*h**2 + 2*h - 8. Let y be w(6). Suppose 5*r + 75 - 29 = -4*t, -r - 14 = 2*t. Let k = -4 - r. Solve -y*j - 10 = -k*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524250 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -934473.34 to the nearest ten thousand.\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*n - 0*n. Let p be (3 + 1)\/((-4)\/n). Let i be p\/15*(2 + -22800002). Round i to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14672 * -2052.\nAnswer: -301.06944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*((1*sqrt(832)*-5*-6 + 4 + (sqrt(832) - ((1*sqrt(832) - sqrt(832)) + 5 - sqrt(832))))*5)**2.\nAnswer: -255590700 + 153600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -697 - -715. Let z be 9*(10\/3 + -1). Let b = z + q. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25109621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790*j = -784*j - 149466. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -84*k**2 + 47*k + 3. Let f(o) = 168*o**2 - 88*o - 5. Determine 3*f(a) + 5*n(a).\nAnswer: 84*a**2 - 29*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14146*v**3 + 28286*v**3 - 14148*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25*(-8)\/4)\/((12792\/(-369))\/(-52))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 426. Let q be v(9). Does -1 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3166 divided by -130.\nAnswer: -1583\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 36*o**2 + 17*o**2 + 23 + 8*o**2 + 26.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x**2 + 5*x - 5. Let d(p) = 17*p**2 - 10*p + 9. Let g be -2*(-3)\/(-18)*((-96)\/8 - 21). Give g*a(v) + 6*d(v).\nAnswer: 3*v**2 - 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 912 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -166630 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -379 - -756. Suppose 5 - t = -3*j. Suppose -2*g = 3*d - 46, 6*g = g - 3*d + j. What is the smallest common multiple of g and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 + 19 + (-3 - ((2 - (12 + -9)) + 3)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/282440 and 105\/9752.\nAnswer: 14969320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*o - 36*o**4 + 8*o - 27*o**3 + o + 21*o**2 + 15*o**4 + 3*o**5.\nAnswer: 3*o*(o - 8)*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 2*p**2 - 2*p - 3. Let s be o(-2). Solve 0 = -m - s - 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*v - 437*v**3 + 212*v**3 + 212*v**3 + v**2 + 1 + v**2 + 37*v in the form f*v**2 + i*v + y*v**3 + s and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 207 = 369. Calculate the highest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*f - 22 = 0, 4*b - 7 = -f + 9. Let n = -0.3 + 0.5. Let v = n - 0.1. Put 1\/4, b, v in descending order.\nAnswer: b, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 41 + 26. Suppose 39 = 5*n - 46. What is the remainder when g is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 12*s**2 - 9*s - 16. Let r be i(11). Let b(d) = 11*d**2 + d - 11. Is b(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3853013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74889.\nAnswer: 3, 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259920145?\nAnswer: 5, 51984029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*f - 5 = z + 280*f, 20 = z + 2*f. Calculate the remainder when 4308 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**2 + 1 - 65*r**2 + 17*r**2.\nAnswer: -71*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, z: 4, r: 2}. Give prob of sequence zzz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1457*l + 1455*l + 4 = 4*o, -5*l + 5*o - 35 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 13*a = -42. Suppose k + 884 = 4*x + a*k, -5*x = -k - 1105. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125191678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 2*g + 10. Let m be f(5). What is the nearest to 1 in m, 0.5, 0.14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -6*w**4 - 25*w**2\/2 - 1. Find the second derivative of m(y) wrt y.\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093.9885 rounded to the nearest ten?\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 26*h + 98. Calculate c(-39).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-48)\/56)\/(10\/(-35)). Find the common denominator of (-12*a*(-12)\/(-32))\/(-6) and 83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 - 26706*p\/7 + 2412740.\nAnswer: -2*(p - 605)*(p + 13958)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/((-3542)\/(-4))*(-15 + (-612)\/(-24)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -197*l + 1050. Let k be s(45). Round k to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**3 + 2*v**2 + v. Let t be u(-1). What is the third derivative of 6*f**5 - 17*f**5 - 14*f**2 + 0*f**t wrt f?\nAnswer: -660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 4*o - 5. Is u(2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:17 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 7) in base 4?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.670083 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - -5 - (559 - 542)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -55*b + 1807. What is the thousands digit of i(-78)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-6))\/(12\/20)*6\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**2 + 0 + 1\/8*n**4 + 0*n + 1\/6*n**3. Calculate the remainder when 19 is divided by i(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166 - -280. Is (-5)\/((-15)\/n) - 1 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -546*m**4 + m**3 + 13*m**2 + 9*m + 2834151 wrt m?\nAnswer: -2184*m**3 + 3*m**2 + 26*m + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-45))\/(-7 + 572\/65 - (-119)\/(-51)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133047 is divided by 158.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30600062 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 151\/4 in -2, 4, 1, -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 2*j - 3. Suppose 7 + 3 = -5*v. Let n be -2 + 0\/(v + 3). Let x be (-2)\/((4 - 1) + n). Determine q(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/36*2\/(-7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5389\/2 + -2290. Let p be -4 + 1\/((-1177)\/392 + 3). Let d = t + p. What is the common denominator of -41\/47 and d?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (684 - 685) + (4 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/1464 + -2\/61. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -882992839 - -882992701.9999943. Let p = h - -137. What is p rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-49))\/o*o**(39\/7)*o\/o**43*o**(1\/5) assuming o is positive.\nAnswer: o**(-2983\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.09558062 to two dps.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (60 - -1)\/(-1). Let x be j\/(-18)*4\/7. Differentiate v**2 + v**2 - 2*v**x - 2*v**2 + 2 wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 13) to base 14.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Suppose 6 = 5*s + f*d, 3*d - 8 = -3*s - d. What is the units digit of 11 + (2 - (s - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 36*j**2 - 37*j - 32. What is p(-35)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2592\/5, -2\/3, 3, -2, -2\/9, 4 in descending order.\nAnswer: 2592\/5, 4, 3, -2\/9, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whm when three letters picked without replacement from {m: 3, w: 1, h: 5}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 196 + 1\/18*h**6 - 1\/15*h**5 + 0*h**2 + 0*h + 1\/9*h**3 - 1\/12*h**4. Factor g(m).\nAnswer: m**2*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0\/p)\/p)**14*(p**(2\/7))**35 assuming p is positive.\nAnswer: p**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8362047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-32)\/20)\/((-2)\/5). Let s = g - 18. Let q = -9 - s. Put 0, -4, q in decreasing order.\nAnswer: q, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 57.3. Let f be -4 + 4 + 1\/6. Which is the closest to j? (a) -5 (b) f (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970307 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -108?\nAnswer: 31\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/36 and -8\/6147.\nAnswer: 24588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/20*1*8)\/(2\/4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*v**2 + 69*v**2 - 19*v**2 - 15*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 = -6*m. Let k = 3 - m. Differentiate 3*p**2 + 3*p**2 + 4 + k*p**2 - 1 with respect to p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:50 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6 - -8) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/34344 and 191\/6501510.\nAnswer: 234054360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0275495786 rounded to 6 decimal places?\nAnswer: 0.02755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**2\/2 + 1. Let v = 9 - 14. Let l(y) = 2*y + 2 + 5*y - y + y. What is v*u(r) - l(r)?\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/21)\/((-12)\/((-24)\/(-5)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172016148?\nAnswer: 2, 3, 31, 462409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3854433, -7708863, -11563293, -15417723?\nAnswer: -19272153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 minus -251229.4517945?\nAnswer: 251192.4517945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 - 0.44. What is i rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 39*d. Let y(n) = 10*n. Determine q(y(h)).\nAnswer: 390*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**3 + 7*g**2 + 3*g + 1. Let p(f) = -4*f**3 - 7*f**2 - 4*f - 2. Let b(v) = 4*p(v) + 3*q(v). What is b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 11.2. Let o = 16 + y. Let n = 0.6 - o. Which is the biggest value? (a) 4 (b) -1\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20594 - 18536. What is the greatest common factor of 105 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Suppose -w*r = 2 - 8. Suppose r*x + 2*x = 5*l + 39, -x + 4*l = -18. Solve 2*o = x*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 188 - 248 = 0. Let a = -185 + k. Calculate the lowest common multiple of 27 and a.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12546\/1071 + 5 + -1. Which is the third biggest value? (a) t (b) 3\/5 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 4323 = -11*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 5*u - 2*u + 8*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w**6 + 1\/35*w**5 + 1\/21*w**4 + 0*w**3 - 13*w**2 + 0*w + 0 - 2\/735*w**7. Factor h(k).\nAnswer: -4*k*(k - 2)*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-9) + 0)\/(4\/(-12)). What is the remainder when 2665\/78 - (u*2)\/(-12) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16.6? (a) -0.2 (b) 2 (c) -166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5 + 29 = 0. Let u(y) = -y**3 - 5*y**2 + 52*y + 264. Let l be u(-5). Solve -4*p - 3*w = z, 9 = l*p - 3*w - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/69852294 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.108964 rounded to 3 decimal places?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/256*(-40)\/24*(-6)\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -677604455.999273 + 677604041. Let z = l + 415. Round z to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 less than 20.176159?\nAnswer: 20.266159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 25 = -5*w, 4*l = 4*w - 7*w + 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461743261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 5\/((-15)\/12). Let v(p) = i*p**2 - 11 - 4 + 7*p + 2*p. Is v(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 10:26 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 5 - (-1 + -2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -2*c - 15. Let j be (10\/c - 2)*3. Suppose 1750 = j*i - 6. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-5) + -2)*15\/(-18)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 7 + 2 + 0*h - 8. Let v be o(-9). Is -316*((-10)\/v + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1210, -1211, -1212?\n\"Answer: -i - 1209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 2 + 0*o**3 - 2*o**2 - o**4 - 3*o**3 + 12*o + 11*o as p*o**2 + y + g*o**4 + r*o + f*o**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204))\/sqrt(12)*4.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8*-1)\/(24\/108). Let d = -10 + 10.1. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/509773 and -26\/1915.\nAnswer: 2548865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 543449, 543449, 543447, 543443?\n\"Answer: -q**2 + 3*q + 543447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -39 + (1 - 0) - (329 + (-658 - -338))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 9*m**2 - 10*m - 4. Let w be d(10). Let s be 6\/45 + (12\/9)\/w. Let k = 15 - 15.2. Which is the closest to k? (a) 7 (b) s (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1428\/(-816) + 30\/8 - (2 + 106).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - 300 = 0. Let g = -107 - d. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*s - z, 2*s + z - 5*z - 10 = 0. Suppose s*c - 2*c - 10 = 0. Solve 2*t = -c - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 7*a**2 + a**3 + 79*a**2 - 2*a + 2*a to the form f*a**3 + l*a**2 + p + r*a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47, -63, -115, -221, -399?\n\"Answer: -3*f**3 + 5*f - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 4. Suppose 0 = -z - 5 - 0. Let q(s) = -2*s + 9. Let b(j) = z*d(j) + 3*q(j). Calculate b(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -4*j**6\/15 + j**5\/20 + j**4\/2 - 27*j**2. Find the second derivative of c(y) wrt y.\nAnswer: -192*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.1. Let f be ((-8)\/(-9))\/((-52)\/39). Which is the nearest to 3\/5? (a) f (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**6\/360 + c**3\/3 - 4*c. Let h(j) be the second derivative of v(j). Let y(m) = -3*m**2. Give h(y(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c - -1?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-15\/8)\/(i\/i**(-27)*i))\/(i**(4\/3)\/i*i*i**(-23)))**(1\/18) assuming i is positive.\nAnswer: i**(-221\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 67 + 9\/12*4. Let g be ((-42)\/c)\/((-6)\/20). Suppose 0*z + g*z - 144 = 0. 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 3*x - 10 = -f, -4 = 2*f - 2*x - 8. Suppose u - p = f, p = 3*u - 1 - 7. Differentiate -9*y**2 + 9*y**u + 0*y**2 - 2 - 8*y**2 with respect to y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 73\/3. Let t(f) = f + 3. Let a be t(-5). Is a at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 2*l - 42 = -9*q, 3*q - 36 = 4*l. What is the greatest common divisor of 23 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/42 + 2\/21. Which is the nearest to x? (a) 0.5 (b) 2\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4365 (b) 94 (c) 3\/7 (d) 2\/5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - 1) + -4 - (-78 + -30 + -37)) + -6\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + c + 24. Let v be l(0). Suppose 2*g = 4*g - v. Let i = -101 - -103. What is the lowest common multiple of i and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**3 + 10*i**2 + 2*i - 11. Let w be a(-8). Let r be -121*(177\/12 - 3). Let m = w - r. What is the common denominator of m and -9\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**29*t**(-39))\/(t*(t\/t**(-25))\/t)**(-29\/2) assuming t is positive.\nAnswer: t**367","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (-5 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232088.\nAnswer: 2, 67, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/15 + (-3)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5229 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9352 - 0.0648. Let h = 410\/3 + -2071\/15. Which is the smallest value? (a) h (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.12, 0.5, 1\/364, 0.4 in ascending order.\nAnswer: -0.12, 1\/364, 0.1, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -200824184*b**5 + 168631*b**2 - 243 wrt b?\nAnswer: -12049451040*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1008 - 501 - 110*y**3 - 507.\nAnswer: -110*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*o**2 + 2)*(17 + 13 + 69)*(-11*o + 33*o - 38 + 38).\nAnswer: 4356*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335550246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88573 and 115?\nAnswer: 442865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -5*u + 3, -1334*f + 1335*f + u = 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 + 145. Let d be 1\/(-3*52\/c - -2). Which is bigger: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 3*u + 5. Let j be n(0). Suppose 640 = j*v - 110. Calculate the least common multiple of 2 and v.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 210?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 10 = 5*x. Let o be 6\/30 + 796\/20. What is the greatest common factor of o and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 50. What is the nearest to -2\/9 in -4\/3, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1558474 is divided by 222628?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -472511 - 3261?\nAnswer: -475772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 + 5*d. Let z(c) = c - 12. Let a be 2\/(-1) + 9\/1. Let m be z(a). Let f(x) = 5*x**2 - 6*x. Give m*f(q) - 6*p(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/12)\/(46\/138). Factor -1\/4*a + 0 - r*a**2.\nAnswer: -a*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -472, -3571, -11970, -28321, -55276, -95487, -151606?\n\"Answer: -442*h**3 + 2*h**2 - 11*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -829*a - 5*a**3 + 19*a**4 - 12*a**4 + 838*a to the form v*a**2 + r + c*a + y*a**3 + l*a**4 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - w**2 + w**2 + 1 + 3*w**3 in the form u*w**2 + k + q*w**3 + r*w + d*w**4 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 5*n. Let g = 11 - 7. Let i = -7 + g. Sort n, -5, i in descending order.\nAnswer: n, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23114911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-8 + 4 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + -10 + -81 + 54?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5354\/5 at most as big as -1070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/6, 54, 4, 2, 0.75?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 27. Let u be (-4 + -2)\/r - (-14 - -7). Suppose u*z + 4 = -8. Which is the smallest value? (a) z (b) -5 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 23323*k + 420139. Calculate j(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p - 9. Let g be a(3). Which is bigger: 12 or g?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 3. Let p be x(6). Let m = 1.2 - 1.5. Let i = m - 1.7. What is the second biggest value in p, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.005? (a) 2\/3 (b) 3\/7 (c) -13\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12 and -67\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 375957 + -586107. Calculate the remainder when ((-2)\/(-6))\/(-15*5\/g) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, a: 2, h: 1}. What is prob of sequence aahh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 13*h**2 - 10*h - 5. List the prime factors of u(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 - 222. Find the third derivative of -1 + d**k - 45*d**2 + 40*d**4 - 73*d**2 - d**3 + 30*d**2 wrt d.\nAnswer: 960*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 14 = 2. Suppose 1016 = -0*l - n*l. Is (-24)\/16*l\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3, 5*i + 4*c - 260 = 253. What is the third derivative of 3*a + i*a**2 + 25*a**4 - 6*a - 117*a**2 - 2*a**3 wrt a?\nAnswer: 600*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.00985 - 2710.00985. Let x = 2709.5907 + b. What is x rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112746017 or 112746016?\nAnswer: 112746016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13877457 a multiple of 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*l**3 + 119003*l**2 - 823335*l wrt l.\nAnswer: 60*l + 238006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*v**2 - 370*v**2 - 4*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 6 = 4*d - 3*y, 0 = 2*d + 5*y - 29 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 4, 0, -3 in decreasing order.\nAnswer: 4, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15506 (base 8) in base 4?\nAnswer: -1231012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 286\/8 + 3 - (-43)\/172. Solve -t + 40 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*1\/((-9)\/(-42)). Let h be (8\/a)\/(10\/35). Let w(l) = -h + 4*l - l + 1 + 2*l. What is w(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3274 times 0.66701?\nAnswer: 2183.79074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1869*j - 864*j - 43 - 457*j. Is l(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -135, -118, -103, -90, -79?\n\"Answer: -d**2 + 20*d - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -q - 12, -2*l - 2*q + 5*q + 16 = 0. Let w(j) = 12 + j**l - 7 - 9 + 4*j. Give w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + d + 255 + 193 = 0, 2*c - 234 = -2*d. Solve 30*v - 83 = c*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/8019 and 59\/496314.\nAnswer: 147405258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74376?\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 27*r**2 - 35*r - 240. What is the remainder when s(-27) is divided by 55?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d**3 + 8*d**2 + 5. Let g = -2 - -10. Let k(t) = 3*t**3 - 3*t**2 - 2. Let n(x) = g*k(x) + 3*m(x). Find the first derivative of n(r) wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqc when three letters picked without replacement from {n: 12, q: 1, c: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4361222174 to two dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/104 and -127\/260?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2125323 and 612?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 6034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-1158) - (-240800)\/6176?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-1)\/(-2)*-2). Suppose u = -2*r - 0 + 2. Let c = -3508\/7 - -501. Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534.4536ns to milliseconds.\nAnswer: 0.0005344536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12924.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -394742 divided by -533.\nAnswer: 394742\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32, -87, -160, -245, -336, -427, -512?\n\"Answer: n**3 - 15*n**2 - 17*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + x**2 + 3*x + 6. Let q be l(-2). Let a(h) = h + 4. Let b be a(q). Solve 2*k = b, 3*k + 3 = -0*i + i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u. Let v(k) be the second derivative of k**5\/60 - 13*k**3\/3 + 16*k. Let i(w) be the second derivative of v(w). What is i(q(c))?\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.5 - 14. Let q = 8 - x. Which is the second biggest value? (a) q (b) 1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317245614 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 b = 2 - 0. Suppose z + b*z = 0. Is z greater than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((975\/(-170))\/65)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.78, -1\/8, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -284 * -5.\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10738603 to the nearest integer?\nAnswer: 3277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.627017ml in litres?\nAnswer: 0.006627017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2766)\/(3*4\/(-108)). Suppose 3*a + 5*i + x = 9179, 10476 = -2*a - 4*i. What is a rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*j - 6, -3*t - 7*j = -3*j - 2. Let v(b) be the first derivative of -4\/3*b**3 + 0*b + 2*b**t - 6. What is h in v(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 386829880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 266*w + 6919 - 6919 - 3*w - w + 2*w + (0 + 4 - 6)*(w - 4 + 4) + 4*w + w - 3*w + 5*w + 6*w - 3*w.\nAnswer: 272*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**2 - 2*o**2 + 4*o**2 + 2*o**2 - 2*o**2 - o**2 - 1 + 1 + o**2 + (-3*o**2 + 5*o**2 - 4*o**2)*(-2 + 4 - 1).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0 - 5\/6*k**3 + 0*k**2 - 2*k. Let n(x) = 317 - 105 - 110 - 102 + 4*x**2. What is j(n(a))?\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -12*z - 10. Let b(i) = i + 1. Let t(m) = 21*m**2 - 2*m - 1. Let j be t(-1). Calculate j*b(x) + 2*k(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -81 - (-27657)\/(-567)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*g = 18, -34*h + 31*h + 33 = 4*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 52, 75, 98?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 3*f**2 + 6*f - 5. Let v be h(4). Suppose 12*n - 5*n = -v*n. Suppose 4*y - 2*y - 28 = n. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -16\/21, -33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6034, -13, 4, -1 in descending order.\nAnswer: 6034, 4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 526336.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**6\/120 - r**5\/30 - r**4\/4 - 4*r**3\/3 + 27. Let z(j) be the third derivative of c(j). Is z(4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12769509 a multiple of 633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280 + -196. What is the units digit of (-1 + i)*(-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 41 + 13. Suppose p + s = 4*m, -5*p + 3 = m + 9. Does 11 divide -2 + 1 - (-30 - p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192.067 - -1.233. Let u = b - 192. Round u to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - l**2 + (2 - 1 - 19)*(2 + l**2 - 2) to the form u*l + h + x*l**2 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 24 + -2 - (-2 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)\/(s*s*s\/s**(1\/8)) assuming s is positive.\nAnswer: s**(-47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168860?\nAnswer: 2, 5, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425922602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -44 + 64*r - 6 - 54*r - 3. Let u be z(12). Let o = -41 + u. What is the least common multiple of 8 and o?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 + 22052*q\/11 + 372954.\nAnswer: -2*(q - 11209)*(q + 183)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 11\/336 (c) 0.1 (d) -0.7 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439225 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 2:10 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18988928 times -20?\nAnswer: 379778560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*j + 752, 7*j + 4 = 9*j. Calculate the remainder when d is divided by 53.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-27) - (-5 - 660\/(-54)). Calculate the remainder when (-1)\/6 + ((-395)\/(-30) - i) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 5*t - 4*t)*(1 + 0 + 89881*t - 89930*t)*(-2 - 1 + 4).\nAnswer: -98*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(-4 + sqrt(3)).\nAnswer: -60 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 2:33 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10))**16 assuming u is positive.\nAnswer: u**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2526)\/(-421))\/(2\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-26)\/3)\/(8\/(-12)). Solve -2*b + i = w + 2*b, 4*w - 3*b = -24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f33a (base 16) in base 5?\nAnswer: -31240444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**3 + 7*x**2. Let h(l) = -7*l**3 + 8*l**2. Let q = -11 - -5. What is q*y(a) + 5*h(a)?\nAnswer: a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-406)\/(-35) - (-1031152)\/(-80920)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -21\/5, -3.65, -2\/11, 2, -5, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 11 = -56. Let d(s) = s**3 - 4*s**2 + 5*s - 2. Determine d(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3906 is divided by 1952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 8*m = 4*m - 24, 0 = -3*m - 15. Let q(k) = k**3 - 17*k**2 + 16*k + 3. Let v be q(16). Put v, u, -7 in ascending order.\nAnswer: -7, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 4, n: 3, o: 1, v: 1}. What is prob of picking 3 x?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9430634 rounded to three decimal places?\nAnswer: -8.943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082742 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26772 + -26611. What is the remainder when r is divided by 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105.9*-1.\nAnswer: 105.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21320667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 14. Let j be q(10). Suppose -5*x = -8*x + 4*t + 37, 0 = -j*t + 8. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14)*(-77)\/(-748)*4.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 9*k - 30. Let g be 32\/(-10) + ((-6)\/(-5))\/k. Sort -1, 11, g in decreasing order.\nAnswer: 11, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0221 * 56.8\nAnswer: -1.25528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.71493 millilitres?\nAnswer: 0.00571493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 33, -2, -6, 56.\nAnswer: -89, -6, -2, 33, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -107*u**6\/60 - 32*u**5\/15 + u**4\/12 - 5*u**2 + 10. What is the third derivative of k(l) wrt l?\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 - z**4 + 0*z**4)*(-6 - 20*z + 6).\nAnswer: -40*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 210 (b) 1\/8 (c) -1 (d) 0.4 (e) -2.3 (f) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22135020 (base 8) in base 15?\nAnswer: -642334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -696 + 502. Let u = 507 + k. List the prime factors of u.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v - 1. Let w be t(6). Let i = w - 13. Suppose 5*y + 14 = 2*a + 2*y, a = 3*y + i. Solve -a*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 29*a + 326. Let l be f(-7). Put 2, l, -2 in descending order.\nAnswer: l, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1098690?\nAnswer: -1\/549345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.0015\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-3))\/(2\/(-4)*106\/159) - 25.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = -55*v + 2011. Let k(g) = -g**3 + 48*g**2 - 98*g + 58. Is k(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 3, s: 1, k: 3, z: 2, o: 5}. Give prob of picking 1 o, 1 s, and 1 k.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -4, -1.9 in increasing order.\nAnswer: -4, -1.9, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12220)\/3666*(-2)\/(-10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + -2 + (9 - 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -14?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 7*a**2 + 3*a + 1. Let c(v) = -2*v - 11. Suppose -5*y + 11 = o, 2*o + 3*o = 3*y - 57. Let t be c(o). Is 11 a factor of j(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244 less than 6.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229184175.\nAnswer: 3, 5, 11, 19, 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303372301.\nAnswer: 7, 11, 16926913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2960\/(-360) - 3*(-5 - (-7 + 4))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 + 4*x**3 - 3*x**3 - 9 + 2*x + 17*x**2 + 8*x. Let o be w(-11). Solve -o*p + 8 = 0, -3*g + 2*p = -p + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53939, 53943, 53949, 53957, 53967, 53979, 53993?\n\"Answer: j**2 + j + 53937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 67. Let p(g) = 157645 - 157645 + 2*g**r. Let b(u) = -9*u**2 + 61*u + 11. Let o(q) = -5*q**2 + 30*q + 6. Let i(t) = 6*b(t) - 11*o(t). Give i(p(l)).\nAnswer: 4*l**4 + 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v - 13*v - 121*v to the form a*v + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3 - 54*t**2 - 169*t - 114 = 0?\nAnswer: -2, -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r + 9. Is v(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.63 + -0.33. What is the nearest to -0.1 in d, -3\/7, -12\/13?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-39)\/(-15))\/13)\/(2\/8).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.1, -16.7, -3\/5, -1\/2 in descending order.\nAnswer: -0.1, -0.4, -1\/2, -3\/5, -16.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -9981?\nAnswer: 20\/9981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*o - 27, -78 = -o - 2*o + 3*z. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 4*d - 152, 47*d - 117*d = -56*d - 3*u - 532 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*j - 3*j. Let y = 15 - j. Suppose -z + 18 = 2*i, -2*z + 44 = y*i + 2*z. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = o, o + 102 = -20*u + 188. Let c = 15 + -30. What is the least common multiple of u and (42\/c)\/(1\/(-5))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a2d3 + 5?\nAnswer: -1a2ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**5 + 20*g**2 - 96*g**3 + 96*g**3 - 15*g**4.\nAnswer: -5*g**2*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47949703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 570950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 a when four letters picked without replacement from lllllllllllllal.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + -3 - 1)\/((-52)\/1738). Let h = 67 + l. Let t = -0.06 - -0.21. Which is the second smallest value? (a) -3 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 280 = -2*h, 4*b = -10*h + 1118 - 1342 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3257, 6523, 9789, 13055, 16321?\n\"Answer: 3266*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486724084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(sqrt(8) + -1) + (sqrt(200) - (sqrt(200)*-1 + sqrt(200))) + sqrt(8) + 2*(sqrt(8) + -1) + sqrt(8) + -3.\nAnswer: -6*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 41, -3, -4, -11, -4\/5 in descending order.\nAnswer: 41, -4\/5, -2, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*f - 26*f + 16*f + 0*f + 0*f + 2*f + (-1 - 1 + 0)*(-2*f + 0 + 0) + 2 + f - 2 as s + v*f and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5*s + 10 = 0, -11*a - 10 = -7*a - 5*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 18*u**5\/5 - 14*u**3\/3 + 579*u + 689. Differentiate m(x) with respect to x.\nAnswer: 72*x**3 - 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(304)*-1 + 3 - sqrt(304) - (sqrt(304) - 2*sqrt(304)*-6))*5 + 5)**2.\nAnswer: -342000*sqrt(19) + 61569025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*h**3 + 0)*(-16 + 8 + 12) + (2*h**2 + 1 - 1)*(-3*h + h + h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369124428.\nAnswer: 2, 3, 30760369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 425\/51*((-1452)\/1380 - -1)\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 5*p**2 - 6*p + 9. Let o = 44 + -38. Let d be b(o). Let v = d + 63. Solve z - 5 + 6 = v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -4 - (17 + -11) - 6) + -12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/104 and -109\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 170737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 151*k - 1396. Give d(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0 + 0)*(3*h**3 + 0*h**3 - 3*h**4 + h**4) + (h**2 - h**2 + h**5)*(0 + 4 - 5) - 2*h**5 + 0*h**5 + 0*h**5.\nAnswer: h**5 - 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:36 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220211002200 + 22?\nAnswer: -220211002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 116.0721, 2.4?\nAnswer: 116.0721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 1208, 2\/9 in descending order.\nAnswer: 1208, 2\/9, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4 - 2*z + z**3 + 8*z - 8*z**2 - z**2 + 0. Let y = 500 + -501. Suppose 2 = 2*g + 14. Let o(v) = v**2 - v - 1. Give g*o(n) + y*r(n).\nAnswer: -n**3 + 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 3}. What is prob of sequence ii?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -5, 0.\nAnswer: -5, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 315 - -2?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -17*w - 4. Calculate the lowest common multiple of x(-2) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/16335 and -63\/88.\nAnswer: 130680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**3\/2 + 2*h**2\/3 + h\/6 - 1053. Suppose c(f) = 0. Calculate f.\nAnswer: -1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112220200 + -22212111?\nAnswer: 20001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1766*b**2 - 320*b**3 - 313*b**3 + 1 + 631*b**3 - 1.\nAnswer: -2*b**3 + 1766*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(8)\/sqrt(4)) + 3*(sqrt(19) - (sqrt(19) - 2*sqrt(19))).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 79?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 4. Let i be 1\/((-3)\/42*-2). Let x(y) = -y + 7. Give i*v(w) + 4*x(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1420 + -4148. Let n = -1863 - i. What are the prime factors of n?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 433 - 360 + 122 + 159 - 136 to the form g + z*s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004512894294 rounded to seven dps?\nAnswer: -0.0000451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 74. What is the highest common divisor of n and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2931 is divided by 267.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2082 - 437219\/210. Let t(i) be the third derivative of 1\/60*i**6 + 0*i - 1\/12*i**4 + 0 - 1\/6*i**3 - 4*i**2 + 0*i**5 + z*i**7. Factor t(y).\nAnswer: (y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2. Let f(b) = 62172 - 62172 - b**2. Calculate j(f(l)).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194749, 194757, 194777, 194815, 194877, 194969?\nAnswer: 195097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnnr when four letters picked without replacement from {n: 7, r: 1, l: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**2 + 2*q**2 - q**2 + (-4 + 4 - 5*q)*(0*q + 3*q - q))*(-q**2 - q**2 + 3*q**2).\nAnswer: -15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a + 0 + 3\/8*a**4 - 5\/6*a**3 + 13*a**2. Differentiate u(p) wrt p.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k + 5. Let r(v) = -3*v + 3. Let p(d) = -3*j(d) + 5*r(d). Let w(n) = 112*n + 478*n - 583*n. Determine p(w(f)).\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -495*z - 4. Let j be s(0). Suppose 0*t = -5*t + 20. Sort 2, t, j, -8 in increasing order.\nAnswer: -8, j, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2\/25 (c) 0.03 (d) 0.085 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2694838521 - 2694838521 - 12*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 0*w - 3 - 1\/2*w**2. Let a = 4905 + -4900. Determine y(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/2 + 2873*z**4 + 103671*z**3\/2 + 233442*z**2.\nAnswer: -z**2*(z - 5764)*(z + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3*(-2)\/(-27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 346, 349, 354, 361, 370, 381?\n\"Answer: v**2 + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - 1. Let g be u(-1). Suppose -g*n - 2*n = 0. Let l(a) = -2*a + 2. What is the least common multiple of 12 and l(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -634, -1729, -3586, -6391, -10330, -15589, -22354?\nAnswer: -30811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4 - 2*l**3*p**2 - 17*l**2*p**2 - 311*l*p**2 + l wrt l?\nAnswer: 24*l**2 - 12*l*p**2 - 34*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2102 (base 3) to base 8\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 22*l - 15. Let g be t(12). Is (-3*1 + 10521\/g)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, z: 1, q: 1, y: 1}. Give prob of sequence zaqy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12491359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 365932650 divided by 7175150?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k + 7*k - 169*k**2 + 10226 + 157*k**2 + 11*k**2 to the form f + i*k + j*k**2 and give f.\nAnswer: 10226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 16*c**2. Let k(w) = -6*w**2. Calculate k(s(f)).\nAnswer: -1536*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*o + 612 = 0, -2*h - 4*o = o - 408. Let y = h - 117. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228452.5943 - -0.0692?\nAnswer: 228452.6635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1467*c - 418097. Calculate f(-285).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1\/9, -5, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1812 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*z + 94*z + 137510. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 912.8388 centuries to decades.\nAnswer: 9128.388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 12*v.\nAnswer: -2*v*(v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-60))\/(78\/9477)*(-10)\/3. Solve 19*j = j - y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 + 58*q**3 - 2859*q**2\/2 - 14942*q - 13454.\nAnswer: -(q - 62)**2*(q + 1)*(q + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12735.\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -11*z**2 + 14*z + 58. Give r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g - 24*g = 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 + y**2 - 4 + 3*y + 8*y**3 - 4*y. Let z be o(3). Calculate the highest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*s = -5*j + 21, -3*s = -2*j + 19. Suppose -j*l + 3002 = -2*t, 5*l - 6521 = t + 964. Suppose -2*u - l = 5624. Round u to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 - (-20 + 6 + 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 51, 67, 77, 75, 55, 11, -63?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2645997 and -18\/14459?\nAnswer: 2645997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2. Let b(f) = 4433416*f**2. What is k(b(z))?\nAnswer: 98275887145280*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - 3*r**2 - 6*r - 13. Give p(-4).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 1.2, 3, -1, 2.11 in ascending order.\nAnswer: -1, 2\/15, 1.2, 2.11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (0 + (-32)\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.1243 - 0.0857. Let k = 0.21 + z. Let r = -7.875 - k. Round r to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25633 is divided by 12008.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from affabaaaffaffffbf. What is prob of sequence fa?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5\/3 - 6954*j**4 + 36122259*j**3 + 1526347368*j**2 + 16058912688*j.\nAnswer: j*(j - 10452)**2*(j + 21)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -1\/10 (b) -3\/8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 6*j - 3. Let z be r(-7). Suppose -5*o + 2*b + 17 + z = 0, -3*b = 3*o. Solve 3*v - 9 - o = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1464*o - 5475*o + 120330 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2850 divide 5514432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + r - 1. Let y(c) = -4*c**3 + 43*c**2 + 25*c + 46. Let s(d) = y(d) - 3*z(d). What is the least common multiple of (2 - -4)\/3 + 26 and s(-21)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/85 (b) -2\/19 (c) 4 (d) 1\/3 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-39 + 23 - -30)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 48 = 15*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -758 + 761. Does 20\/13 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10)**(-23\/3)*i**28*i\/i**4 assuming i is positive.\nAnswer: i**(-155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*x = -0*x + 47, 0 = -4*a - 3*x + 159. Suppose 13*m = 66 + 38. Calculate the least common multiple of a and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 270 + 21*g - 270 - 91*g**2. Let n(d) = 2*d**2 + 9*d - 21. Let t be n(0). Let i(k) = -9*k**2 + 2*k. Determine t*i(w) + 2*l(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.5 (c) 3\/8 (d) 2\/3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1824\/176*((-4620)\/(-63))\/(-10).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 2*v**3 + 50*v**2 + 9*v - 23*v**2 - 22*v**2 in the form l*v**3 + f*v**2 + u + d*v and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, g: 5, u: 1}. What is prob of sequence gg?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*x - 175 - 449 = 0, 0 = z + x - 154. Calculate the least common multiple of 2 and z.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4 + 40*h**3 - 5617491*h**2 + 717519862*h wrt h.\nAnswer: -12*h**2 + 240*h - 11234982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 75, 15, -8 in increasing order.\nAnswer: -8, -4, 6, 15, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 0 + 1\/8*t**4 + 0*t + t**2 + 0*t**3 - 3\/40*t**6 - 1\/10*t**5. Solve o(w) = 0 for w.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 19 + 95*s - 29*s - 6*s**2 + s**3 - s**2 - 25*s - 37*s. Calculate c(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**6\/720 - x**5\/30 - x**4\/6 + 3*x. Let c(j) be the third derivative of a(j). Calculate c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d - 59 = -108 + 49 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -20172*b**2 + 7*b. Let y(f) = f. Determine y(m(t)).\nAnswer: -20172*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (2*sqrt(2) + 4)**2).\nAnswer: -80*sqrt(2) - 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3091, -3017, -2911, -2755, -2531?\n\"Answer: 3*r**3 - 2*r**2 + 59*r - 3151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1193572 = 4*b + 2686382, 0 = 3*x + b - 2327986. Suppose 2*u + 0*u - 776006 = 2*i, 2*u = -2*i - x. Round i to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71866260 divided by -798514?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 596182 and 284566?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2874*a**6*s**3 + a**3 + 2240*a**2*s**3 + 3*a**2*s wrt a?\nAnswer: 344880*a**3*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 31 = 9. Let d be (-15)\/l*1*32\/12. Solve 0 = -0*g + g + d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 5. Let y be o(9). Suppose -4*g + 11 = -5*p, -y*p - 5 = -5*p - g. Let h be (p - 23)*(-8)\/16. What is the greatest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -197\/6*o**3 - 11\/24*o**4 - 6 - 2\/105*o**7 + 0*o**5 + 0*o**6 + 10*o**2 + 0*o. Differentiate c(g) with respect to g.\nAnswer: -16*g**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u - 5. Let w(j) = j**2 - 5*j + 5. Let c be w(4). Let a(l) = -3*l - 2*l + c - 4 + l. Let m = -15 + 12. Give m*o(i) + 5*a(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*-3*1 + -2. Let p = 594366 - 594319. Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 25, 2.\nAnswer: 2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-21) - 72\/(-14). Differentiate -n*t**2 + 0*t**2 + 3 + 4 + 5 with respect to t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 1 (c) -5\/4 (d) 114 (e) -0.04 (f) 43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -266204, -265986, -265768, -265550, -265332?\n\"Answer: 218*x - 266422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z - 23. Let v be i(3). Solve x - 6 = v*s + 2*x, -x = 3*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {f: 2, n: 3, e: 1, o: 1, j: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 - 0\/3 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 25 = 0, -64*h + 4*p = -61*h - 23 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = d + 259, 0 = w + 4*d - 34 - 48. Let l = w + -40. Let a be (23\/(-2))\/(4\/(-48)*6). What is the highest common factor of l and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 3, d: 3, u: 1, i: 1}. What is prob of sequence au?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 5*g**2 - 29 + 57 to t*g**2 + r*g + c and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91\/1)\/(-13)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7 - -20b?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t - 72*t + 96 = 0. Solve -5*k = t*g - 5, -7 = 3*g + 3*k - 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 7 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 145709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 0.03291, -0.07, -1\/9, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-2)\/28). Let a(w) = -3 + 12*w + 6 - 8*w. Is 16 a factor of a(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -79, -4 in descending order.\nAnswer: 3, 0, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -7*m**6\/90 - m**5\/40 + 4*m**4\/3 + 9*m. Let a(c) be the third derivative of u(c). What is the tens digit of a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -20. What is the nearest to 1\/3 in i, 1\/5, -1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -41*x + 1. Let p(y) = 7*y**2. Determine p(i(k)).\nAnswer: 11767*k**2 - 574*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 82\/17, 1, -0.1, -149?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1035, 2\/2963, -37, -0.5 in decreasing order.\nAnswer: 2\/2963, -2\/1035, -0.5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u, 6 = -3*l + 4*u - 3. Let d = -11 - 225. What is the common denominator of -101\/16 and 3 + l + -2 - 461\/d?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/3 and -6*(-3)\/(-12)*(-528)\/108.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 215\/(-4) - 2\/8. Is (2\/(-6))\/(3\/r) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:28 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 9*t - 7. Let w(j) = -j**2 - 5*j - 4. Let v(k) = 4*u(k) - 7*w(k). What is the second derivative of v(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -232 + 230. What is the closest to x in 3\/5, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00944284815 rounded to five dps?\nAnswer: 0.00944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (5 + -7)*(-637)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/10 and 37\/66029210.\nAnswer: 66029210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(38)\/(4*(sqrt(14)\/sqrt(7) + sqrt(2)) - sqrt(2)))**2 + -5.\nAnswer: 230\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(5\/2)*q))\/(q**(2\/9)\/q)*q**0\/((q**(-1)*q*q)\/q) assuming q is positive.\nAnswer: q**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*g - 28, -f = -4*f - 3*g - 6. Suppose -4*l = f*z - l, 0 = 4*z - 2*l - 16. Solve w = -z*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 16, 41, 88, 163, 272, 421, 616?\n\"Answer: p**3 + 2*p**2 - 4*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313730 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5320 is divided by 312?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n - 15. Let b(c) = -c**2 + 7*c - 14. Let u = 41 + -38. Suppose 0 = -3*d + 4*a - 3, -2*a - 8 = -u*d - 5. Let l(p) = d*b(p) - 4*j(p). Factor l(r).\nAnswer: -3*(r - 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*c - 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-5)\/25 + (-1)\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*n + 146, -l + 37 = -0*n - 2*n. Let x = 36 - l. Calculate the highest common factor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21429700 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 6) to base 16\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -15.674?\nAnswer: 12.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(5) + sqrt(320)*-1 - (sqrt(40)\/(sqrt(128) + sqrt(8)) + sqrt(15)\/sqrt(48)))**2.\nAnswer: -149*sqrt(5)\/5 + 22521\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39512 is divided by 858.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**3 - s**2 + s - 2. Calculate j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*f - 21, 4906*f - 2 + 15 = -l + 4902*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-10) - 4\/10. Let c(y) = y**2 - 2*y**2 + k*y**2. Let t(r) = 6*r**2 + 8. Let j(b) = -4*b**2 - 5. Let n(w) = 8*j(w) + 5*t(w). Determine c(n(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 22. Let k(g) = -18*g + 397. Calculate -4*i(r) - k(r).\nAnswer: 6*r - 485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 56 - 120 + 3*a**2 + 64. Let c(d) = -152*d**2. Give c(h(k)).\nAnswer: -1368*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 1819341420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 4*r, 5*r - 7*r - 10 = 5*o. Let m(q) = -70*q + 21. Let t(i) = -7*i + 2. Determine o*m(n) + 21*t(n).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6516 divided by -2172\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**5\/120 - d**4\/8 + d**3\/3 + 5*d**2\/2 + 41. Let m(p) be the third derivative of i(p). What is m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/42237 and -121\/1476.\nAnswer: 6926868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -1\/3 (c) 1\/2 (d) -1 (e) -2\/5 (f) 14091\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n + 4*c - 2036, n - 1028 = -4*c. Suppose -497 - n = 7*o. List the prime factors of ((-24)\/60)\/(1\/o).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) + -77*(-18)\/630. Sort 6, w, -2 in descending order.\nAnswer: 6, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 10 - 31 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(30*-1))\/((-1)\/(-6)). Suppose 2\/5 + 6\/5*q**2 - a*q**3 - 6\/5*q = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 247 - 80 + 1826*w**3 - 85 + 10*w.\nAnswer: 1826*w**3 + 10*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + -2*(-5 - 0). Differentiate 19*m**2 + m**3 + 2 - z - 19*m**2 with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 33 = 186. Which is the fourth biggest value? (a) -0.3 (b) p (c) -8 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51)\/(-323) - 1134489970\/(-190). Round y to the nearest one hundred thousand.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17878, 17880, 17882?\n\"Answer: 2*d + 17876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**2 - 2*q - 1. Suppose 2*k + 30 = -62. Let n = 65 + k. What is the smallest common multiple of s(-1) and n?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134.19 - 135. Let y = 0.61 + h. Which is the fourth biggest value? (a) y (b) 0.08 (c) 0.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-924)\/(-114) - (-5 - (-10 - 3))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 2931?\nAnswer: 2931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18*(-1 - 6\/9). Let n(a) = 21*a**2 + a. Let s be n(-1). Suppose -s*m = -15*m - y. Solve 2*v + m = -2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 11:12 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2 + 1\/4*l**2 + 9\/4*l.\nAnswer: (l - 1)*(l + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 290 = -w, -3*h = -w - 0*h + 306. Suppose w = -18*c + 8*c. Is 3 a factor of 119\/3 + 20\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 454 + -452. Solve -258 + 264 = -y*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 2*o - 3. Suppose -2*a = -3*r - 7 + 2, -2*a = 4*r + 16. Let y be w(a). Let f = 4 + y. Put 5, f, -5 in ascending order.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)\/((-5)\/55). Let m = 7 - j. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**4\/12 - 7*f**3\/6 + 9*f**2\/2 + 2*f + 28. Let x(s) be the first derivative of b(s). Calculate x(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*t**4 + 16*t**3 + 30*t - 1274 wrt t?\nAnswer: 12*t**3 + 48*t**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -4, -0.1, -10, -0.02, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.83312 rounded to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*f + 146, 4*s - f = -5*f - 464. Which is bigger: -119 or s?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 33 = -3*v. Let c = v + 8. Suppose 3 = -j + c. Calculate the remainder when j is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04837886 - 232.5514.\nAnswer: -232.59977886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875 is divided by 88?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*o**2 - 746824*o - 149364.\nAnswer: -4*(o + 37341)*(5*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 32 = -8. Solve 5*j = -4*q + y, 2*q - 2 = -3*j + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5\/5 - 1056*y**4\/5 - 10852*y**3\/5 - 5904*y**2 - 19728*y\/5 = 0.\nAnswer: -6, -3, -1, 0, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20072*-61.1.\nAnswer: 1226399.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139 + -106. Suppose 14*b - d = 135. Calculate the lowest common multiple of 22 and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101000110 (base 2) in base 15?\nAnswer: -a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 21\/(-6)*12\/(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -8*x**7\/15 - 103*x**3\/3 - 270*x**2. Differentiate b(h) with respect to h.\nAnswer: -448*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 84*s - 258. Let u be v(3). Which is the third biggest value? (a) -2 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292 + 234*f**4 + 272*f**4 + 152*f - 150*f wrt f?\nAnswer: 6072*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(504) + sqrt(14)))\/sqrt(7).\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -458252\/7 or -65465?\nAnswer: -458252\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 909164500.29974 + -909130363. Let t = 34137 - f. Let w = -0.3 - t. Round w to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2794416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**4 - x**5 - 21 + 23 + 3*x**4 - 2*x**2 wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**5 + 73*t**4 + 7*t**3 + 5*t**2 - 548*t wrt t.\nAnswer: 120*t**2 + 1752*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62491446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + n - 5. Let y be d(-3). Solve 0 = -5*j - f - 24, y - 2 = -f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 4*q**2 + 3*q - 5. Calculate x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 129752*a + 17829600.\nAnswer: 4*(a - 32300)*(a - 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-163 + 1290 + 259)*(4*x - 5*x + 0*x)*(-2 + 0 + 0) to g + m*x and give m.\nAnswer: 2772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8837.\nAnswer: 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-21) - (-192)\/14. Suppose -g + m = z + z, -4*g + 5*z = -95. Is 778 - (4 - g\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 23. Let u = 0.486 - -18.514. Let k = z - u. What is the closest to 2\/5 in 2\/9, k, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -2. Suppose r*y = 4*y. Let n = 66 + -65.7. Put n, y, 0.4 in descending order.\nAnswer: 0.4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -29*v**5\/30 - v**3\/3 + 78*v**2. Let n(b) = -3*b. What is x(n(i))?\nAnswer: -522*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 53, 104, 159, 218, 281?\n\"Answer: 2*g**2 + 41*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (5 + (3 - (5 + 4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r*r**5))**(4\/5)\/(r*r**(-2\/27))**(-9) assuming r is positive.\nAnswer: r**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 6*k + 13. Let d be l(6). Solve -4*y - 5 = -5*o + d, 12 = 4*o - 2*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 64 (b) -6\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46300278247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 5. Let y(s) = s - 1. Let m = -7 - -10. Suppose -6*z + 4 = -2*z. What is m*y(w) + z*f(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42071514 or 42071484?\nAnswer: 42071484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.5 + 22. Which is the third biggest value? (a) 5 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + sqrt(200)*3 + 1)*-6*-3)**2.\nAnswer: 25920*sqrt(2) + 1037124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 - 121. Suppose l*g - 4*s = 6, 3*s = -g + 8*s + 3. Solve -5*p + g = -7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1797687218.46852275801 - -784805.53147656199. Let o = h - 1798471992. Let a = -32 + o. What is a rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**4\/6 + 3*o**3\/2 + 2*o**2. Let i be m(6). Let f = i + 37. Calculate the remainder when 42 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118796125 to the power of 1\/2, to the nearest integer?\nAnswer: 10899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*-6 + 112 + -109. Let o(q) be the third derivative of 0 + 2*q**2 - 5\/84*q**4 + 2\/105*q**5 - 1\/420*q**j + 0*q + 2\/21*q**3. Factor o(r).\nAnswer: -2*(r - 2)*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12071 + 17736. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) -12 (c) -2\/5 (d) -5\/2 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 45*w**2 - 31*w - 10*w**2 + w**3 + 5 - 37*w**2. Calculate the smallest common multiple of 84 and z(7).\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97*b*z**5 - 2*b*z**2 - 3365417*b - 7549*z**5 wrt z?\nAnswer: 5820*b*z**2 - 452940*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479, -653, -939, -1337, -1847?\nAnswer: -2469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqq. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h*h\/(h*(h**0*h)\/h)))**(6\/11)*(h*(h\/h**(-2\/17)*h)\/h)\/(h\/(h*(h*h*h**(-2\/9)*h)\/h)*h) assuming h is positive.\nAnswer: h**(443\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 1862*f**2 - 5572*f - 3712.\nAnswer: -2*(f + 1)*(f + 2)*(f + 928)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 253412229 to the power of 1\/2, to the nearest integer?\nAnswer: 15919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 0.178896?\nAnswer: 0.00357792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 - 3*z**4 + 5*z**4 + (z**2 + 1 - 1)*(2*z**2 - 4*z**2 + 3*z**2) - z + z - z**4 - 28*z**2 + 28*z**2 + 19*z**4.\nAnswer: 17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5491 (base 13) in base 5?\nAnswer: 334104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 10:50 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1)*o))**(-49)\/(o*o*((o\/o**2)\/o)\/o)**4 assuming o is positive.\nAnswer: o**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16901 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 10:58 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6226*f**2 - 1891*f**2 - 3041*f**2.\nAnswer: 1294*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 950 and 627?\nAnswer: 31350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -663*h - 14. Let d = -3 - -13. Let o be r(d). Let p = o + 146123\/22. Calculate the common denominator of p and -27\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 123*b**2. Let l(u) = -19*u**2 + 1. Give d(l(j)).\nAnswer: 44403*j**4 - 4674*j**2 + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11\/(-33) + -2 + (-13)\/(-3) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5235289 divided by -52?\nAnswer: -5235289\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.7 - -72.3. Let n = 66.4 - q. Let z = n + 12.62. Round z to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y - 2 + 20*y - 7*y - 146*y.\nAnswer: -147*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*c**4 + 5*c**4 - 2*c**4 + (-2 - 2*c**2 + 2)*(-3*c**2 - c**2 + 3*c**2) + 0 + 0 + c**4.\nAnswer: 17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i - 2 = 0. Suppose 1 + i = -3*r, 0 = 5*h - r - 16. Solve -h*f + 12 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 4:50 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5016 and 3312?\nAnswer: 692208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 160*z + 2720. Let b be n(39). What is the greatest common factor of 133 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 510030 + -33?\nAnswer: 505553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m*v**3 - 1074*m*v**2 + 12*v**5 wrt v.\nAnswer: -36*m + 720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2 - 2)*(2*l**3 + 507 - 507) + 4*l**4 - 2*l**4 - 3*l**4 + (-5 + l**2 + 5)*(-l**2 - 2*l**2 + 5*l**2).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g. Suppose -v - 4*j + 711100 = g, v + 3*j - 3555568 = -4*v. Suppose -u = v + 1188884. Round u to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26757 and 0.0524.\nAnswer: 1402.0668","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*(264\/(-18) - -18)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 12292*o + 4 + 13.\nAnswer: 12292*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-821 - -824 - (-6 - (-1 + 1))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14952109, 14952105, 14952089, 14952055, 14951997?\nAnswer: 14951909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.71 - -1.31. Sort -0.2, 9, w in decreasing order.\nAnswer: 9, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -730 rounded to the nearest ten?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -283 - -305. Is f - 18 - (-835 - 0\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (1 - -4))*9\/(-3). Suppose 0 = 3*f - a - 27. Suppose 4*z - 6 = -5*r + 8, 3*z + f = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -15*l**3 + l**2 - 1. Let g be y(-1). Suppose z + 7*t = 3*t + 15, z - 5*t = g. What is the highest common factor of z and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + i + 2. Suppose -3*c = -c + 10, 0 = -u - 2*c - 12. Let t be o(u). Suppose y - t = 11. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 - 639*c**2 + 1904*c + 2544 = 0. Calculate c.\nAnswer: -1, 4, 636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*s + 101*s + 154*s in the form w + p*s and give p.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107637072?\nAnswer: 2, 3, 127, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 76, 168, 298, 466, 672, 916?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.873 rounded to 0 dps?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 10:28 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Let k be (-1 + 1)\/(4 - z). Suppose 0*f + 4*f - 4 = -2*m, -f - 5 = -m. Solve k = m*w - 3*n - 4, -n = 1 + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 divided by 3?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 297 - 27 = 0. Suppose 3*q = 2*q + x. Suppose 4*t - 2*r - 476 = 0, -2*t - r = q - 336. Calculate the greatest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 21*h - 84 = 0. What is the greatest common factor of 154 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 12*n. Let s be z(-12). Suppose -3*f - 24 = -3*d, -f + s*d = -5*d + 4. Is f less than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 4:38 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18166 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a = 23*a + 36. Solve 2*x - a*h = -h + 6, 3*x + 5*h + 23 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/286398 and 209\/2863980.\nAnswer: 2863980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(((j*j*j**(2\/21)\/j)\/j)\/j))\/j*j**4)\/(j\/((j\/(j\/j**(-1\/2)*j))\/j*j)*j*j**9*j*j*j)*(j**(-9)\/(j**(3\/5)\/j))**(-1\/6) assuming j is positive.\nAnswer: j**(-962\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-o**3 + 0*o**3 + 4*o**3) + 5*o**3 - o**3 - o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from xuxoxxxxxxmx.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-6)*(-1)\/15. Let g = -5 - -3. Let u be 18\/(-24) + (-1)\/g. Is u greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/64 and 16\/7?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 67a5 + -d76?\nAnswer: 5a2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a**2 + 0*a)*(-3*a**3 + 5*a**3 - 4*a**3) - 2*a**4 + 2*a**4 + 4*a**5 - 527*a**5 - 224097*a + 224097*a.\nAnswer: -519*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -17, -51, -121, -239, -417, -667?\n\"Answer: -2*p**3 + 4*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-10 - (4 + -4)) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(108) - (0 + sqrt(108) + 1))**2 + -6*(sqrt(108) + -1 + sqrt(108)) + sqrt(108) + ((sqrt(108) + -1)*4 + sqrt(108) + 2*sqrt(108) + 4)**2.\nAnswer: -66*sqrt(3) + 5295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -156\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6548 is divided by 226?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7044282 divided by 63.\nAnswer: -111814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)*(q*q*q**(-12))\/q)**(-26)\/((q**(-6)\/(q\/(q*q\/((q**8\/q)\/q*q))))\/(q**(-1))**(-10)) assuming q is positive.\nAnswer: q**(872\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -14. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2 and 14\/333?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 4*b - 1. What is u(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**4 - 9*u**4 - u + 2*u**2 + 2*u**2 - 3*u**3 + 4*u**5 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4324, -19215, -44026, -78751, -123384, -177919?\nAnswer: -242350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2128412278488 and 78.\nAnswer: 2128412278566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -9333.139331 and 3.\nAnswer: -9330.139331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*p**2 - 11*p + 7.\nAnswer: -(p + 1)*(18*p - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**2 + 0*c**2 - 4*c**2 - 5*c**2 + 3*c**2 + c**2 + (-234 - 69*c + 234)*(c + 4*c - c) to the form w*c**2 + g + i*c and give w.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 84. What is the remainder when 176 is divided by o?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.09. Let l be 27\/(-18)*4\/(-3). Which is the smallest value? (a) 1 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-4))\/((-6)\/24). Let a = 3 - s. Suppose -a*y + 58 = -5*j, -2*y - 3*j = -6*y + 144. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.945512 to one decimal place.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*k + 5, -5*k = -0*k + s - 5. Let v(i) be the first derivative of 0*i**3 + 1\/10*i**4 + 1 + k*i**2 + 0*i. Factor v(z).\nAnswer: 2*z**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p. Suppose 2*x - 11 = -3, 2*x = -3*k + 20. Suppose p = -k*a - a + 205. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 2293128.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022472 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -w, 3*f + w - 1 = 7*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -19717332.\nAnswer: -19717332, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 12) in base 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14761, 29500, 44227, 58942, 73645?\nAnswer: 88336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 393596027 and 1067.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74986941 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 792 and 1188.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 84358, 168416, 252474?\n\"Answer: 84058*y + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1 (b) -1\/2 (c) -6323 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -0.3, -4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 7*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 130296\nAnswer: -3\/21716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-10)\/((n\/(n**(-3)*n))\/(n*((n*(n*n**4*n)\/n*n)\/n*n)\/n)) assuming n is positive.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -2 - (1 + -3) - 5) + -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -765573*f**4 + 30745*f?\nAnswer: -9186876*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**7\/840 + t**6\/360 - t**5\/120 + t**4\/12 + t**3\/3 - t. Let w(p) be the second derivative of h(p). Give w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(-1)*(12 - 13). Let p = -21 - y. What is the tens digit of (4\/(-4))\/(p\/76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-13 - -7) + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5.9. Let r = t - 0.5. Let b = r - 0. What is the third smallest value in 0, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 4.2 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 18*s + 28*s)*(4 - 4 - s)*(-2 + 2 + 2*s).\nAnswer: -78*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000145270155 rounded to 7 dps?\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83209*t = -83184*t - 50. Let m(f) = 3*f - 2. Let k be m(3). Which is the closest to -1\/4? (a) k (b) t (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/3)\/4*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 8*x**2 + 11*x - 5. Let m be s(9). Suppose m*a = 22*a - 342. Which is smaller: 41 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 698 - 672. Suppose j*p - p = 107675. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-32) - 110\/8. Let u = -10 - j. Suppose u*b - 2*b - 10 = 0. What is the highest common factor of b and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11445 + -17730. Is -6286 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-45)\/x**(-13\/3))**(-6\/13))**40 assuming x is positive.\nAnswer: x**(9760\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.021 - -0.979. Let l = -7.4 - -0.4. Let o = -6.6 - l. Which is the third biggest value? (a) q (b) o (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (32\/1352)\/(260\/338)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 o, and 1 h when three letters picked without replacement from {o: 5, x: 1, w: 2, p: 5, h: 6}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147\/5 + 29. What is the nearest to f in 5, -2\/5, 3\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from oootqeleeqqqqee.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/2592 - -127019\/28512. Let w = 4185\/4 - 1064. What is the common denominator of x and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxpp when four letters picked without replacement from {p: 5, x: 8, j: 1, m: 4}.\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:20 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -447\/895 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/((2115\/2)\/(-45)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6440155 (base 8) to base 9.\nAnswer: 3211877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**2 - 10*n - 1. Let m be (-2)\/(-4)*(0\/(-6))\/2. Suppose m = 65*g - 73*g + 64. Give v(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-56)\/(-420)*(-4)\/(-176).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-277)\/(-6) - 4\/24. Suppose 10 + f = b. Let a = -33 + b. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17.32 less than -5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -59.1 equal to 0.0244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 7 = -11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 95 = 6*n. Let w(u) = 135*u**3 + 190. Let z(p) = -90*p**3 - 126. Let j(b) = n*w(b) + 8*z(b). What is the first derivative of j(m) wrt m?\nAnswer: -135*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 39 - 105 = 4*i, 3*i + 3*p = -108. Let h = 39 + i. Calculate the least common multiple of 63 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 8*g - 3672. Suppose 29*x + g = 31*x. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231673 divided by -13.\nAnswer: -17821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b + 41. Let d be o(13). Suppose y - 3*y = 0, 5*i = 3*y. Let x = i + -7. Sort x, d, -2, 1 in ascending order.\nAnswer: x, -2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + (-25 - (-23 - 15))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9))**(-29)\/((m**19*m)\/(((m\/(m\/(m\/(m**(-10)*m)))*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(-157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5))**(7\/4)*f**(-1\/3)*f**(-1\/5)*f)\/((f*f**0\/f*f)\/f**(1\/8))**42 assuming f is positive.\nAnswer: f**(-2219\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26573 is divided by 302?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 15*a - 52. Let q(o) = 4*o - 13. Determine -3*b(s) + 11*q(s).\nAnswer: -s + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 128569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + (-5 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, d: 4}. What is prob of picking 2 d?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2. Let k(l) = -84*l + 3. What is k(n(s))?\nAnswer: -336*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2884025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635626859?\nAnswer: 7, 2029, 44753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 143 + 85. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 115374818?\nAnswer: 115374816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2622446 (base 7) in base 9?\nAnswer: -570842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -1\/6*z**4 + 4*z**2 + 5\/336*z**8 + 0*z**7 + 0 + 0*z**5 + 0*z**3 + 0*z**6 + 0*z. Find the second derivative of p(q) wrt q.\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767528771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 136?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 177 = 3*k, 3*k - 214 = s - 37. Let g = -196 + 227. Calculate the remainder when k is divided by g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 44\/8)*-2. Let u be (-420)\/(-110) + 2\/s. Suppose -2*d + 158 = 4*r, -d = d - u*r - 190. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/6 + 2)*0. Suppose u*z = -8*z + 160. Suppose -z*p + 21*p - 66 = 0. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12295567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/3 + 229*u**4\/3 - 461*u**3\/3 + 77*u**2 = 0.\nAnswer: -231, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2024.964 millennia?\nAnswer: 20249.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - r**2 + r**2)*(-7*r + 5 - 5) - 2 + 9*r**4 + 0*r**4 - 3*r**4.\nAnswer: -8*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -406*c - 549*c - 810*c + 266*c in the form w*c + z and give w.\nAnswer: -1499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**2 + 519 + 5*u**2 + 14*u**2 - 9*u**2 as x*u + j*u**2 + z and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2707*t**3 + 30*t**2 + 9*t - 6. Let o(s) = -2707*s**3 - 31*s**2 - 9*s + 4. Let u(y) = 2*i(y) + 3*o(y). What is the third derivative of u(a) wrt a?\nAnswer: -16242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 35 - (2 + (-4)\/(-4))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10945\/25 - (-10 + 5). Let a = f - 443. What is the nearest to -1 in 3.4, a, 3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4286 = -9*f + 70. Let o = 4358\/9 - f. Let y be ((-3)\/12)\/((-3)\/16). Which is the second smallest value? (a) 2 (b) y (c) -0.4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -39, -5, -12 in increasing order.\nAnswer: -39, -12, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 123*o**2\/7 + 2007*o\/7 - 13110\/7.\nAnswer: 3*(o - 5)*(41*o + 874)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/655970 and -47\/29050100?\nAnswer: 203350700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -112456883 divided by 1\nAnswer: -112456883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4 = 0, -404 = 4*r + 3*d - 408 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 2*f**3 + 21 + (0 + 0 - 2*f**2)*(3*f + f - 3*f) to the form m*f**2 + v*f**3 + n*f + s and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**3 - 86908436*t**2 - 695267296*t - 1390534464 = 0.\nAnswer: -21727101, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -9731864\nAnswer: 9731864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -122991648*j**2. Let t(x) = 2*x**2. Give z(t(i)).\nAnswer: -491966592*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/(-9) + (4 - 1). Let t(k) = k**3 - 6*k**2 - 6*k + 3. Let x be t(7). Let g = x + u. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2308 is divided by 117?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 980404 divided by -11.\nAnswer: -980404\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 2.5. Let w = 6 + k. Let i be -4*7\/(-490)*-7. Which is the closest to -1? (a) i (b) w (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/6 and -115\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 496 and 217.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7710073, -15420153, -23130227, -30840295?\n\"Answer: 3*x**2 - 7710089*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 14)*(-7*c**5 - 2*c**3 + 2*c**3 + (-c**2 - 2*c**2 + 5*c**2)*(0*c**3 + 2*c**3 + c**3)).\nAnswer: -15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -724974.13 to the nearest one thousand.\nAnswer: -725000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z + 20. Let w be z\/20 + 1\/(-5). Suppose -d - 8 = d, 2*h - 5*d - 10 = w. Let r(t) = t. Calculate r(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 50540922*q - 638596199152521.\nAnswer: -(q + 25270461)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 825081 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 21*k**2 - 5796*k - 91452. Calculate l(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/798585 and -61\/319434.\nAnswer: 1597170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(13\/21 + (-32)\/112).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2016 divided by -9.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 4*x + 24, 4276 = -4*x + 2*c + 4242 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 32222013122?\nAnswer: 32222013220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = 2*a. Suppose q + 3*k = 11, 2*k + 2 + 0 = a*q. Suppose -q = z + t - 31, -5*z + 161 = t. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 1. Let s = -1 + 5. Suppose 0*q + 25 = 3*q + 5*l, s*q = -5*l + 30. Calculate r(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5 + 13. Let i(n) = 2*n**2 + 26*n - n**2 + 0*n**2 - 66*n + 34*n. Let f be i(a). Is 3 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 386 (base 15) to base 5\nAnswer: 11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 60813, 243062, 546805, 972036, 1518749, 2186938, 2976597, 3887720?\n\"Answer: -u**3 + 60753*u**2 - 3*u + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 12*o - 180. Suppose 0 = -4*w - 4*l + 100, o*w - 9*w + l - 75 = 0. Solve -v + 26 - w = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3 - 1111806*z**2 - 140075649*z - 4412257920 = 0. Calculate z.\nAnswer: -1111680, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0.6, -167, -0.3 in decreasing order.\nAnswer: 4, 0.6, -0.3, -1, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2 + (-1 + 4 - 2)*(1 - 1 + 2))*(-213*k - 263*k + 824*k - 210*k) as y*k + f and give y.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Let j(b) = -2*b + 2. Let p(x) = 3 + 9 + 2*x - 14. Suppose -21 = -4*v - 4*d - d, v - 3 = d. Give s*j(g) + v*p(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10626.7*-1.24.\nAnswer: 13177.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 37 - 2 = 0. Factor -2*y + 0*y - z*y**2 + 5*y**2.\nAnswer: -2*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*s**4 + 291*s - 136*s**5 - 493*s**5 + 21*s**4 wrt s.\nAnswer: -12580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**4*o))\/o**0)**24\/((o*(o\/(o\/o**(-2\/3)))\/o*o)**(-4\/7))**(-14\/11) assuming o is positive.\nAnswer: o**(-3968\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16060)\/(-33))\/((-4)\/(-6)). Suppose -380 = -m - 2*a, -77*m + 2*a = -75*m - s. List the prime factors of m.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**11*(p**(-1\/4)*p)**(33\/2) assuming p is positive.\nAnswer: p**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 989318991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104108303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 - 2*i**4 + 33*i**2 + 16*i**4 - 9*i**4 - 5*i**4 + 2 - 2*i + i**3 to the form b*i**2 + a*i**3 + q*i + r + p*i**4 and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 - 138 = -5*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4322, -4, -1 in ascending order.\nAnswer: -4322, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, i: 2, b: 2, s: 4}. Give prob of picking 2 i, 1 s, and 1 b.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/24*32\/10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 2\/23 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -3*d - 2*z, -166004 = 32*d + 3*z - 166595 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + i**3 + 2*i**2)*(3 - 3 - 3*i) + i**4 - 8*i**4 + 2*i**4.\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5521\/355 + 21\/142. Let x = m + -31\/2. What is the second smallest value in x, -4, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3451 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from hobcusbsboo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 754\/(-14) - (-8)\/(-2). Let v = i + 58. Factor -2\/7*u**3 + v*u**4 + 2\/7*u - 1\/7 + 0*u**2.\nAnswer: (u - 1)**3*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 12:59 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 21 + 9 + 55510*v + 16.\nAnswer: 55510*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 17*t**2 - 1. Let s be h(-1). Suppose 4*b - 144 = -s. Suppose -4*a + 108 - b = 0. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 24 = -64. Suppose 10*o - 340 = a*o. Let t = 257 - o. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 1, u: 3}. What is prob of picking 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-37)\/(-111))\/(10\/(-12)). Put 8, 0.2, h, -0.5 in ascending order.\nAnswer: -0.5, h, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c + 4*c + 0*c - c + 3*c - 35 + 595*c**2. Is r(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14560290 and 2250.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkkzkkrkkrkrrk. What is prob of sequence krz?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324448 is divided by 662039.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 4*a - 11*a + 0*a + 5*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12270000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -57, -48 in increasing order.\nAnswer: -57, -48, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 389, -4, -900 in increasing order.\nAnswer: -900, -4, 5, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**3 - 12*f*m + m - 38 wrt f.\nAnswer: 3*f**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 29, 3 in descending order.\nAnswer: 29, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 16*h - 1 + 80*h**2 - 10 - 3*h + 24*h**2. Let x(b) = b**2 - b - 1. Let u(q) = v(q) + x(q). Suppose u(l) = 0. What is l?\nAnswer: -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 10. Let h be z(-7). Suppose -14*k + 12*k = -4. Let o(d) = -k*d - d + h*d + d. Let q(f) = 20*f**2. Determine o(q(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.3 and -132.4.\nAnswer: 1231.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08444 - 14.09164. Let z = 13.82 - -0.18. Let k = z + f. What is k rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000250398 to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/185863367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -16. Let o = -903 - -913. Let c = a - o. Which is greater: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m\/(m*m**(-4)))))*m**2\/m)\/((m\/(m*m**2))\/((m*m**4)\/m))*((m*m**(3\/4)*m)\/m*m**(-2\/7)\/m)**(-46) assuming m is positive.\nAnswer: m**(-243\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 - 7 = 0. Suppose k - 8 = -4*p. Let n be (2 - 0 - 2)*p. Solve -5*y + 24 - 6 = -c, y - 2*c = n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Suppose 2*y + 4*i = 122, -2*y + 41 = i - 72. Let z be (-2)\/5 + 37\/y. Does z = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -0.9. Put 18, x, 5 in descending order.\nAnswer: 18, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t. Let i(s) = -2*s**2 + 4*s**2 - 6*s**2. What is g(i(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**6\/240 + c**4\/6 - 3*c. Let b(t) be the third derivative of n(t). Let f(j) = -j**2. Determine f(b(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 smaller than 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 + 10*h**2 - 26*h + 14. Let z be f(-7). What is the closest to z in 42, -0.2, -2\/7, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83476466 is divided by 103?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1203 and 1779018?\nAnswer: 713386218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 50112*n. Let b(z) = z**2. Give b(p(y)).\nAnswer: 2511212544*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1969.4 - 0.0367.\nAnswer: 1969.3633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011100110101010001 + -10?\nAnswer: 100011100110101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2))\/q*(q\/(q*q**(-5)))\/q*q)\/(q**(-3\/5))**(-33) assuming q is positive.\nAnswer: q**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 3:30 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*v + 1. Let c = -573 - -569. Let d = -59\/84 + 1\/28. Put d, v, c in decreasing order.\nAnswer: v, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + (-4)\/6 + (-3857)\/(-21)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24427880 - 14925522. Suppose -12*o - w = 17029642. Round o to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658*w**2 - 4*w + 719*w**2 + 4*w.\nAnswer: 61*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111064 and 32?\nAnswer: 444256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/6)\/u**(-4)*u\/(u\/u**(-1\/8))*(u\/u**(-2\/37))\/u assuming u is positive.\nAnswer: u**(3637\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168415, -168396, -168377, -168358, -168339, -168320?\nAnswer: -168301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204\/43 + 5329\/516. Find the common denominator of 170\/(-187) - 5*(-4)\/(-24) and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0048, -10419, -0.2, 4\/5 in increasing order.\nAnswer: -10419, -0.2, -0.0048, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 617675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {f: 1, n: 2, z: 1, j: 3, x: 4, c: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2576 is divided by 1251?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 5*w - 14. Calculate the lowest common multiple of w and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -30. Let b(t) = -6 + t + 13 + v*t. Calculate b(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(8\/11)\/z**(-5\/13)*(z*z**(-4\/21))\/z*z**(-28) assuming z is positive.\nAnswer: z**(-81317\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1458*c = 828*c - 107*c + 13354 + 86880 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*y - 151 - 158 - 149 + 458.\nAnswer: -582*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -901 + 4381. Suppose -9*l = -4*l - k. List the prime factors of l.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -429 + 259. Calculate the lowest common multiple of 54 and (t\/25 - -6) + 638\/10.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-78\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 + 55*d + 50*d - 103*d - 11*d**2 + (2*d + 2*d**3 - 2*d)*(4*d - 12*d - 12*d) as v*d + o*d**4 + m*d**2 + h*d**3 + w and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -46*g + 140. Suppose 5*j = -4*t - 43, -j - 19 = 2*t - 2. What is the units digit of o(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/40)\/(168\/(-174440))*(-6)\/(-21)?\nAnswer: 89\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1284337, -1284333, -1284329, -1284325, -1284321, -1284317?\nAnswer: -1284313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10001920109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 + 2*s + 2. Let a(y) = -6*y**2 + 5*y + 5. Suppose -f = -3*f + 5*m, 0 = -5*f - 5*m - 35. What is f*j(l) + 2*a(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**9\/60480 + i**7\/5040 - i**6\/90 - i**5\/60 + 4*i**2. Let j(f) be the third derivative of z(f). Calculate j(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 >= -382\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 27*t + 23. Let l be x(-13). Let k = l + 19790. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 889263156 to the nearest integer?\nAnswer: 29821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = a, 11*a - 5*q + 10 = 6*a. Let i(o) = -2*o**2 + 3*o + 262. What is the units digit of i(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34752 - 34752.00026684. What is t rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -28. Let d be -7*(3 + (-4)\/l). Let a = -1 + d. Solve 0 = a*q - q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/150 and -67\/135.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 46 - 19 - 11 + 43*x.\nAnswer: 43*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 5 (c) -3931 (d) 1.3 (e) 3 (f) 2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.5. Let z = 21.7 + -3.7. Let u = z - 18. Which is the closest to 1\/3? (a) 5\/6 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 19*i = 24 - 7, 4*i = 6408*v - 6407*v - 4 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s + 2. Let x be c(-6). Let j = -1 + x. Let k = j - -20. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 r when three letters picked without replacement from yrrrryryrr.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 7*q**3 - 2*q**2 - 3*q**4 - 7*q**2 - 2*q**3 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/420 and -91\/100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -14*i + 40. Suppose n - 30 = 4*r, 2*r - 5*n - i = -11. Which is greater: r or -11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.686 - 7.346. Let n = -12.28 - t. Let o = -0.62 - n. What is the biggest value in o, 1, 0.7, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/108 - 9232\/(-27) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -377*o + 343*o + 791 + 399 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**3 + 3*a**2\/2 - 12. Let m(i) = i**3 + 2*i**2 + 2*i. Calculate -3*m(o) + 2*z(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/((-1)\/18). Let h = 20 + a. Factor h*u**3 + 6*u - 2*u**3 + u**3 + 8*u + 18*u**2 + 4 + 2*u**4.\nAnswer: 2*(u + 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 554 - 1619\/3. Let n(t) = -2*t - 44. Let l be n(-19). Calculate the common denominator of g and 135\/(-77) + l\/(-231)*7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31369988 and 988?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121613376 a multiple of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 - 48*q - 110. Give z(-15).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3500119 or -3500116?\nAnswer: -3500116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.035 - 2.965. Which is the nearest to 2\/5? (a) v (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -423 - -444. Let d = 2 + 10. What is the remainder when t is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20840249.\nAnswer: 17, 1225897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809101600 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172 + -163. Suppose -2*w - u = 3 + f, -4*u = 3*w + 28. Put 4, w, 2 in increasing order.\nAnswer: w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2262 - -67841\/30. Suppose 11437 = -4*o - 5063. Let k = o + 37055\/9. Calculate the common denominator of g and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7389 at most 7019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -502 - -310. Let l = -192.0158 - h. Round l to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2008, -1948, -1894, -1852, -1828, -1828, -1858?\nAnswer: -1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Suppose -7 = 5*b + 4*i + 9, -5*i = -z*b + 20. Solve -5*l = 3*v + 11, b = -v - 3*l - 0 - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6*27\/(2 - -1). Let h(p) = -2*p**3 - 6*p**2 - 5*p - 1. Let c be h(v). Calculate the greatest common divisor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 + 2*u - 2. Let q(i) = -19*i**2 - 13*i + 13. Let o(w) = -39*l(w) - 6*q(w). Let h(r) = -3*r**2. Give o(h(g)).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.76 + 6.76. Put 2\/39, -3, k, -0.05 in descending order.\nAnswer: k, 2\/39, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -12770*u + 1685644. Determine h(132).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040510921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1699\/10 - -170. Which is the smallest value? (a) h (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 55854*r**2 + 446688*r - 893280.\nAnswer: 3*(r - 18610)*(r - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*t = -64*t - 12. Suppose 4*v + t*h + 236 = 0, v - 3*h + 65 = -2*h. Let b be ((v + 2)*-1)\/(9\/(-50550)). Round b to the nearest ten thousand.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 690 = 9*i. Suppose -4*f + 6*f = i. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0 (c) -4 (d) -386 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -254629*i**3 + 17*i**2*p**2 - 78*p**2 + 3*p - 50205 wrt i.\nAnswer: -763887*i**2 + 34*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28534*j**5 - 127620*j wrt j.\nAnswer: 570680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4056, -24226.\nAnswer: -24226, -4056, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9)*-3*10*(-705)\/150?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -23624311.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*f + 407 - 33 = 0, 8 = -2*f. Let m = -200 - -42. Let w = v - m. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*b + 31. Solve 0 = -2*u + 4, 10 = 2*g - u + b*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 42, -1, 3 in ascending order.\nAnswer: -1, 1, 2, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let r(j) = -j**3 - 11*j**2 - 13*j - 25. Let m = 48 + -58. Let w be r(m). Determine g(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/3192492 and -55\/54.\nAnswer: 28732428","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put 2.1, -3\/5, -2\/9, 488, 0.2 in ascending order.\nAnswer: -3\/5, -2\/9, 0.2, 2.1, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -607030 by 37.\nAnswer: -607030\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twtj when four letters picked without replacement from jmttfwf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(45\/9))\/(11\/22)*16.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44938087871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43430?\nAnswer: 2, 5, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/1088*(-459)\/162.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 110?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/288*-3*(-24)\/(-2) + 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -17. Let i be 60\/j - 4\/18. Suppose 0*w = 2*h - 5*w - 18, 0 = i*h + 3*w - 18. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 115813 and 115790 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4671332\/7 or 667332?\nAnswer: 667332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23598000 rounded to the nearest one hundred thousand?\nAnswer: 23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440, 2957, 7140, 12989, 20504, 29685?\nAnswer: 40532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45458 is divided by 372.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 80\/7 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 12. Let w = f - 12. What is the remainder when 29 is divided by (-50)\/(-3) - (-4)\/w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/(-60)*(-535)\/214.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l**2 + l. Let r be n(-2). Suppose -2*d - 15 = -5*b, 0 = -4*b - r*d + d + 25. Solve -6 = -b*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 967 - 967. Solve 2*v - 5*g - 2 = 0, -3*v + 4*g + i = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 8189 = 28*t + 8312, 4*t = 5*r + 91 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y + 2*l = -2, -4*l = -4*y + 12. Solve -s = y*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4887968679?\nAnswer: 3, 11, 31, 530897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 817898.7 centuries in years?\nAnswer: 81789870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3829472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 1, 4 in descending order.\nAnswer: 115, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nonojooox. Give prob of sequence njo.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163.6191 years to centuries.\nAnswer: 1.636191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2780 - -0.08?\nAnswer: -2779.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 190*n - 2111*n - 156*n + 14*n + 249623 for n.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 1, w: 1, q: 1, i: 4, z: 3}. What is prob of sequence vo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3734 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 23*c**2 + 5*c - 4. Let q(k) = -k**3 - 8*k**2 + 9*k + 1. Let m be q(-9). Does 2 divide y(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17607, -0.4, 23, 0.4, 5 in increasing order.\nAnswer: -0.4, 0.4, 5, 23, 17607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302 - 302 - 120*i**2 - 19*i**2.\nAnswer: -139*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 15*k + 12. Let h be w(0). Solve 5*p + h = 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69592766 is divided by 34796379.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 2025*t**4\/4 + 376*t**2 - 2*t - 1252. Find the second derivative of f(z) wrt z.\nAnswer: 12150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6432\/36 - (50\/(-6))\/(-5). Suppose -2*n + 0*n + 5*x + 118 = 0, -3*n + p = -3*x. Solve n = 5*s + 49 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + 0 + 0 + 9 + -5. Solve -2*f + 3*u + 3 = -o, -5*f + 25 = -5*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -287*o + 303*o - 419200. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1483\/17, 2, 0.9 in descending order.\nAnswer: 1483\/17, 2, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7332943 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lellel. Give prob of sequence ll.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 34*s**3 + 6*s**2 + 10*s - 22. What is the tens digit of h(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 3*r**2 - 2*r + 59)*(12*r - 12*r + 3*r**2).\nAnswer: 9*r**4 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235444.\nAnswer: 2, 11, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 35160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 5. Let c be t(5). Let f = -10223\/34944 + 82\/273. Is f < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -403915, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1156 and 69938.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 936\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 6. Let j be n(-6). Suppose j*z = 3*z, -3*i - 14700 = -z. What is i rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1581?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/2)\/((-4)\/8). What is the third derivative of 0*g**5 + 7 + y*g**2 + g**5 - 7 wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4*j - 8*j + m, 2*j = -m + 15. Let n = 12 - j. Suppose -5*g + 286 = 2*z, -240 = -4*g + 2*z + n*z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w + 14. Let v be o(-6). Let x = v + -202\/3. Which is the nearest to -0.2? (a) 0.5 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-3)*k*k))\/k**11*k**(-2\/11)*k**1 assuming k is positive.\nAnswer: k**(-101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 5. Let z = 6 + i. Let q be (-1)\/z*24\/4. Is q < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 60887.19 nanograms?\nAnswer: 0.00000006088719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.627 - -0.6872. Let u = p + 4.9398. Put 10, u, -1\/5 in increasing order.\nAnswer: -1\/5, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 361107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 866 = 890. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -898\/3 - -300. Which is the nearest to 1\/4? (a) 3 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 8*o**2 + 7*o - 18. Let t be p(-9). Suppose 14*y - 20*y + 30 = t. Solve w + 20 = y*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 + c - 98 + 55 to the form r + g*c and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28660.\nAnswer: 2, 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmvevmfvmvvvofokv. Give prob of sequence mmo.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*r**2 + 4*r**2 + 2*r**2)*(97 - 97 + 5*r**3).\nAnswer: 10*r**5 + 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -54*a - 52*a + 120*a. What is the third smallest value in a, -3\/7, -0.57?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 469094606.425 and -1.\nAnswer: 469094605.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -25368.\nAnswer: 126840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1319304, -1319305, -1319306?\nAnswer: -1319307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**(-2)*r*r**(-4)*r assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.041 + -0.959. Suppose 86 = -12*w - 34. Let h be (38\/95)\/(6\/w*-2). Which is the nearest to g? (a) 6 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -731*j + 5874. Let d be h(8). Solve 82 = -d*q - 100 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 19114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.58 - -0.08. What is the nearest to 1 in 2\/11, 0.128, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 2*k**2 - 2*k. Let j be l(3). Solve 4*f + 7 = j*x, -3*x = -4*x - f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(66)\/(sqrt(30)\/sqrt(5)) + -4)*6)**2.\nAnswer: -1440*sqrt(11) + 10476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16222 - -21665?\nAnswer: 40107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 6*i**2 + 3*i - 5. Let c be h(4). Let j be (c\/(-3))\/(2\/(-12)). Is (j\/8)\/(1\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 299072 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 299642418 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6677129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, i: 3, m: 9}. What is prob of sequence im?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 + (-10 + 0 - (2 + -17))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 885 = -4*s, 97*f + 2*s - 875 = 96*f. Calculate the lowest common multiple of 15 and f.\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + y**2 + 0*y**2)*(y + 0*y + 0*y)*(1821 - 1610 + 3086).\nAnswer: -6594*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*t - 4 = 0, -9*t = -3*s - 6*t + 21. Suppose 0 = -5*f + 7*f - s. Solve -f*y + y = 4*o - 15, -3*y + 2*o + 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124285 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3712 is divided by 772?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from {f: 1, l: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2362376 and 229714.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -361307000 to the nearest one million.\nAnswer: -361000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-3) + 0 + -1. Suppose 2*u + j + 3 = 0, -3 - o = -2*u + 4*j. Solve b - u = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 429745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-seven fifths of a hour?\nAnswer: 41040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 19*i**2 - i + 19. Let n be (((-1425)\/(-20))\/5)\/((-3)\/(-4)). Let u be g(n). Solve -b - 19 = -5*b + 3*k, -b + 2*k + 6 = u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116 + 1071*a + 116 - 344*a as s*a + x and give s.\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/45*5\/2. Suppose -3*f - 4*w - 20 = w, f - 4*w - 16 = 0. Suppose -u = -f*u + 3. Sort 3, l, u.\nAnswer: u, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-30))\/((-13)\/6 + 2). Suppose 3*r - 25 = 4*f - 2, -q*r + 28 = f. What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x + 40*x - 4*t - 78482 = 0, -4*x + 157034 = 2*t. List the prime factors of x.\nAnswer: 3, 5, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -20 + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 2. Let g be s(-6). Suppose -3*y + 6 = -3*q, g*q - y - 9 = -29. Let f = -10 - q. Which is the biggest value? (a) -3\/2 (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 513416409\/845 + -607597. Let a = v - -1\/845. Let y = 4376\/33 + -385\/3. Find the common denominator of a and y.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - 1.1. Let k be (3 + 1)*1\/2. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -c - 35, 0 = 3*u - 4*c + 1604. Let s = u - -1143. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, x: 5, t: 7}. Give prob of sequence tx.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -1031ee?\nAnswer: -1031e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0)\/(3 - 1). Suppose x + 4*x + 4*p - 140 = m, 0 = p. Let u = 85 + x. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71935*h**5 - 28*h**2 - 49 wrt h.\nAnswer: 4316100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -195906.\nAnswer: 1\/65302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4363\/99 at most -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 2. Let o(u) = u - 2. Suppose 2*n + 4*q = 3*n - 24, 0 = 5*q + 25. What is n*s(m) + 3*o(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 153 * 95393.\nAnswer: 14595129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/833 in 0.4, 11, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 3*m + 14, 1007*m - 1003*m + 17 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**2 - a - 4*a + 4*a - 30)*(1339*a - 235*a + 1210*a + 965*a) as r*a + c + b*a**3 + n*a**2 and give b.\nAnswer: -3279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2 + 8. Let a = 17 + -7. Let b = -1085 + 1090. Solve -b*z - q = a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 + 5*g - 1. Let v(p) = 3*p**2 + 4*p - 1. Give 2*c(i) - 3*v(i).\nAnswer: -i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j. Let f(s) = 24666931*s**2. Give z(f(u)).\nAnswer: 74000793*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**2 + 84*i - 108.\nAnswer: -4*(i - 9)*(2*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - -4 - (-6 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**7\/840 - h**6\/720 + h**5\/120 - 17*h**4\/24 + 25*h**2. Let r(v) be the second derivative of t(v). Give r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41623*j**6 + 4*j**3 + 374*j**2 + 520*j - 1 wrt j.\nAnswer: 4994760*j**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-8))\/((-3)\/(-37)*(-9535)\/(-11442))?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/8 - (-5 - -9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 13*f**2 + 28*f - 61. Let p(o) = -2*o**3 - 12*o**2 - 24*o + 59. Determine -7*p(q) - 6*y(q).\nAnswer: 2*q**3 + 6*q**2 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 2, a: 5}. What is prob of picking 1 a and 1 d?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(19) + -2*sqrt(19)*1 - (sqrt(19) - (-2 + sqrt(171) - sqrt(19)))) + sqrt(1539) + sqrt(1539)*1*4)**2.\nAnswer: -540*sqrt(19) + 115437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15020 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178.26 - 27.6. What is z rounded to the nearest integer?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/9023?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m + 96*m - 230*m.\nAnswer: -84*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 32*u**3 - u**2 - 5*u + 4. Let m(v) = -v**3 + v**2 - v + 1. Let a(q) = 3*m(q) - o(q). Let t be a(-2). Let g = t + -172. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 25, 0 in descending order.\nAnswer: 25, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 14, b: 4}. What is prob of picking 3 b and 1 g?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 396*x + 510. Give j(1).\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 1, d: 4, t: 5, i: 1}. What is prob of sequence ktp?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xls when three letters picked without replacement from {g: 5, x: 1, s: 1, l: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6022296 to the nearest 100000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 1516*l**2 + 145888*l - 424128.\nAnswer: 4*(l - 188)**2*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -4*l**6\/3 - 7*l**3\/3 - 3*l**2\/2 - 40. What is the third derivative of k(n) wrt n?\nAnswer: -480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 186 = -4*o, 12*o + 215 = 17*o + l. Let d(t) = -4*t**2 - t - 4. Let b be d(3). Let n = o + b. Solve -5*v - n - 15 = 3*f, -4 = 2*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 10 = -8*l. Suppose o - 3*m + 1192 = 3*o, 5*o = l*m + 2980. Suppose -1369 - o = -5*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -2851\/11, 2\/13, -3\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 294\/4)*2\/(-3). Suppose -41*i = -2*t - h*i - 22, 3*t + 28 = -5*i. Put -1\/3, t, 0.01 in descending order.\nAnswer: 0.01, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*c - 989 - 405 = 716 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - c = 0, p = 4*p - c - 8. Suppose 5*s - 4*i = 837, p*i - 5*i + 6 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157 (base 8) in base 16?\nAnswer: 26f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8359 and 4352467.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 3*t**2 + 0*t**2)*(-2*t**2 - t**2 + 0*t**2) - 33*t**4 - 2*t**4 - 6*t**4 - 10*t - 4*t**4 + 10*t - 2*t**3.\nAnswer: -36*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 52. Let j(b) = -b**5 - 2*b**4 - 3*b**3 - 6*b**2. Let k(l) = -l**5 - 2*l**4 - 2*l**3 - 5*l**2. Let s(p) = o*k(p) + 5*j(p). Factor s(u).\nAnswer: u**3*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a1 (base 12) to base 14.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepeeepzppppqehpepe. What is prob of sequence qzp?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2619832.7999995 - 2619812.8. Let h = -20 + n. What is h rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**4 - l**4 + 15*l**4 + (2*l**3 - 2*l**3 + l**3)*(0*l + 3*l - 5*l) - 2*l + 2*l**4 + 2*l - 2*l**4 + 3*l**4 - 2*l**4.\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 11. Let q be y(9). Let b(w) = 4*w**2 + q*w + 5*w - 2*w**2 - 3*w**2. Give b(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 40 + (51 - 49).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**4\/6 + 2*h - 23. Let b(l) = 6*l**2. Calculate x(b(w)).\nAnswer: 72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/(-2) - (-12)\/(-4). Let n = -29 - g. Suppose 0 = -4*t - n*t + 12. Solve -m + t = 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 549 (base 12) to base 9\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 67 = 4*z, -v - 7 + 29 = z. Suppose 0 = 7*w - v*w + 308. Calculate the remainder when w is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54.3 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2888*c**4 + 347 + 130*c**4 - 7*c + 7*c + 9428 wrt c.\nAnswer: -11032*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28905ba (base 13) to base 7\nAnswer: -214331610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(1 + sqrt(176))**2*-4.\nAnswer: 64*sqrt(11) + 1417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*b**4*q - 2*b**3*q*u - b**3*q + 286*b**2*q - 2*q - u wrt b.\nAnswer: -240*b*q - 12*q*u - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwiccgywgcwwgacgc. Give prob of sequence yai.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 11*f - 13 = 0. What is the common denominator of 143\/12 - 0\/(f + -6) and 59\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 440, 429, 414?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 181 or 93029\/518?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*u + 89, 5*x + 2069 = -7*u + 1749 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {l: 2, b: 6, c: 9}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7749256*g**2 + 4*g - 65965639?\nAnswer: -15498512*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: a9137 (base 13) to base 10\nAnswer: 305598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3, -860 = 4*y + 4*q - 2128. Suppose -5*v + 2 + 3 = 0, 5*r - 4*v - y = 0. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 101. Let g be -4*(-4)\/(-8) + 32 + i. Calculate the greatest common factor of 8 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107032\/3672 + 16\/(-108)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, 5, 4, 0.02, 8\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 78. Let v be j\/(-5) - 5\/(-25). Suppose -5*y - 5*c = v, -y - 3*y - 5*c - 13 = 0. Solve 5*p = 28 - y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/5 - 46428*v**3 - 2785392*v**2\/5 = 0. What is v?\nAnswer: -116058, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235421 (base 6) in base 14?\nAnswer: 2d781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*t**2 + 210*t**2 - 46*t**2 - 51*t**2 - 50*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143055, 0.2, -7, 2 in descending order.\nAnswer: 143055, 2, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 a, and 1 e when three letters picked without replacement from rdererbrreeeebarrbe.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 381751567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + 10*a**2 + 6*a**2 - 25*a**2 + 4*a**2 to p*a**2 + s*a**3 + t*a + y and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 40646 divided by -1\nAnswer: -40646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 14.62\nAnswer: 4.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284992, 285004, 285016, 285028, 285040?\nAnswer: 285052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*w + 5*v, 3*w - 2 + 0 = 4*v. Suppose 2*t + w*t = 56. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663*y**2 + 1562*y**2 + 668*y**2 - 3208*y**2.\nAnswer: -315*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cucpfupddccccupuduc.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*n + 297 = 55*n. What is the highest common divisor of n and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12110210 (base 3) to base 15.\nAnswer: -12b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*g = 500 + 368, -4*n + g = -873. Calculate the common denominator of (-1)\/(n\/(-82) + 3) and (((-1620)\/(-336))\/(44\/(-14)))\/((-6)\/8).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8203 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 179936600 rounded to the nearest 100000?\nAnswer: 179900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 d when four letters picked without replacement from {d: 3, o: 9}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 6.1?\nAnswer: -36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 3, 15, 0 in ascending order.\nAnswer: -7, -3, 0, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271584625?\nAnswer: 5, 13, 37, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.727282 + -0.09.\nAnswer: 0.637282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460936 is divided by 264?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 7*j**2 - 32*j - 11. Suppose 4*c - 41 = 4*s + s, -2*c + 13 = -s. Calculate the remainder when b(-10) is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6319*k**4 + 83*k**3 + 129216*k**2 + 88*k + 1?\nAnswer: 151656*k + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40407 + 40407 + 96998*j.\nAnswer: 96998*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -2 + 3 + 23. Suppose -3*u + 5*m + 55 = 0, 0 = 3*u + m - p - 38. Solve 0*j - 4*j - u = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 8*b + 9. Calculate the least common multiple of 3 and j(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**7\/1400 + w**6\/450 - w**5\/600 - 5*w**3\/6 - w**2. Let k(o) be the first derivative of r(o). Find q, given that k(q) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 24. Solve 2*s = 5*s - l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/4))**(-50))**(-1\/29)\/((h\/(h*h**(-1\/2)))**8*(h**(-1\/3)*h)**36) assuming h is positive.\nAnswer: h**(-1549\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -928 and -0.5.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 - 2*c**2 + 2*c. Calculate a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/115 (b) -1 (c) 1 (d) 5592 (e) -5 (f) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234722 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36831 - -26?\nAnswer: 36857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7253.\nAnswer: 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4*z - 25 = -11*m, 18 = -2*m + 4*z. Solve 0 = -2*a - m - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a milligram in micrograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -6\/11, 0.2, -2, 19794?\nAnswer: 19794","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128 - 263 + 4*p**2 + 7*p**3 + 134 + 8*p to u*p + n + j*p**2 + t*p**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. What is the smallest common multiple of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/9 + 26*w**2\/3 - 28*w\/3 - 160\/9 = 0 for w.\nAnswer: -40, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w + 4*w. Differentiate -4*h**3 - h**4 + w + 6*h**3 - 2*h**3 wrt h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 547500 divided by -6.\nAnswer: -91250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2287*g**4 - g**3 + 490256*g**2.\nAnswer: 54888*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1895*w + 0*w**4 - 1894*w + 2*w**3 - 52 - 46 - 3*w**4 in the form n + l*w + c*w**2 + m*w**4 + k*w**3 and give n.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 3:08 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -45. Suppose 2 = -2*v + 10, -u*k + v - 34 = 0. What are the prime factors of 502\/8*(3 - k - 5)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 40*y**2 + 155*y + 6. Let w(u) = -6*u - 46. Let j be w(-7). Let a be s(j). Solve -4*i + 2*t - 1 = 17, -5*i - t = a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*p + 605, -2*a - 4*p - 414 = -0*a. Suppose -7*c + 3*c - 352 = 0. Let n = c - a. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -300 - -302. Factor -9*u - 12 + 2*u - 67*u**m + 66*u**2 - u.\nAnswer: -(u + 2)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21457612 (base 9) to base 8\nAnswer: -47441614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 3. Let n be x(5). Let m(a) = 5*a**2 - 8*a + 2. Let r be m(n). Is 37 + (r - 4) - -2 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d - 35 = 0. Suppose -5*g + 28 = -3*g. Let o = g + d. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7447541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 366 = -10*z. Suppose -50 + 10 = -3*k + 4*j, j + z = 5*k. Solve 3*q + k = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 57, 4, 11, -2 in decreasing order.\nAnswer: 57, 11, 4, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**(-3\/16)*(a**0)**(1\/3) assuming a is positive.\nAnswer: a**(-3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4 - (-4 + 6). Put 1\/3, m, 0 in increasing order.\nAnswer: 0, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67868317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193 + 15. Is 36 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**6\/120 - 7*f**5\/60 - f**4\/24 + 3*f**3\/2 - 27*f**2. Let o be z(7). Solve 0 = o*g + 9 - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -941, -2644, -5499, -9512, -14689, -21036, -28559?\n\"Answer: -a**3 - 570*a**2 + 14*a - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*b = -600, 0 = -2*n - 5*b + 128 + 91. Suppose -4*j + 5*s + 796 = 0, -4*s + 674 = 4*j - n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.06593891?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 12:39 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*t - 4*t**2 - 111*t - 28*t - 22*t.\nAnswer: -4*t**2 - 267*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*v, 0*v = 4*m + 2*v + 16. Let r be m\/(1 - -2) + 14. Let o be 22*-4*24\/(-88). What is the greatest common factor of o and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 11:31 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 2*c + 1. Suppose 66 = -9*x + 282. Suppose -5*m + 39 = x. What is the remainder when m is divided by y(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 0 + 0. Let o(m) = 3*m. Let d(i) = 4*o(i) - 5*p(i). Suppose -z - 3*z = 5*n - 33, 3*z + 14 = 4*n. Calculate d(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-3 - 0) - (3 - (-6 - -3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (0 - -3) - 2 - 7) + 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3941 is divided by 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*1 - (-22 - 520) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 20. Let q = f - 7. Let h = 5 - 3. Solve a + q = -h*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49.13 + -0.87. Let r = p + 49.94. Put -1\/6, 4, r in descending order.\nAnswer: 4, r, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -25. Suppose 9*y = 16*y - j. Does 22 divide 1324\/10 + y\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*r. Let m = 1.5 - 1. What is the closest to r in 4\/3, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = 3 - 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -1 - 11\/20*t**5 + 3\/2*t**3 + 0*t + 40*t**2 - 5\/8*t**4 - 3\/40*t**6. Factor j(x).\nAnswer: -3*(x + 1)*(x + 3)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 1\/6*g**3 + 1\/60*g**5 + 0*g + g**2 + 0*g**4 + 0. Let j(z) = -5 + z - 3 + 4. Give 2*a(h) + j(h).\nAnswer: 2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 - -167. Calculate the remainder when p is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-3 + -11*7). Let p = m - -239. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3185106 + 3185106 - 6*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -280731?\nAnswer: 280719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170429.\nAnswer: 7, 97, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 4*d - 112. Let p(l) = l**2 - 7*l + 5. What is the lowest common multiple of p(10) and q(13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/16*8\/(-12))\/(36\/(-18))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31944408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0518 * -10.\nAnswer: -0.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -355485 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 - 19*q**2 + 25*q + 5. Let b(h) = -3*h**2 + 2*h + 1. Give 6*b(g) - f(g).\nAnswer: -3*g**3 + g**2 - 13*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4306036 divided by -38?\nAnswer: -2153018\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133185699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10156 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15274945.6 rounded to the nearest ten thousand?\nAnswer: 15270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*p + 8391 = -6271 + 13303 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 15. What is b(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.032509 + -0.0322. Round w to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 532, 4179, 10944, 20827, 33828?\n\"Answer: 1559*b**2 - 1030*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 723848119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3342197.4599818 - 3342199. Let p = -124.46 - -126. Let b = p + l. What is b rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 21300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(7)*2 + 2).\nAnswer: -10*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1264 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001554191604 rounded to seven dps?\nAnswer: 0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**2*s*s*(s\/s**(-1))\/s*s)\/(s\/(s*s**(-1)*s)*s*s)**(-1))**48)**(-17\/6) assuming s is positive.\nAnswer: s**(-1088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 37036.2 to the nearest one hundred.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 731 and 424195?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2. Let x(v) be the third derivative of v**5\/15 + 5*v**2. What is n(x(r))?\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - -89. Suppose 4*l + q = -4, 4*l - 172 = -2*f. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2856.52um in meters?\nAnswer: 0.00285652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 1. Let h = -137 - -134. Let l(g) = -g**2 + 5*g - 2. Let x(s) = s**2 - 7*s + 3. Let q(p) = 7*l(p) + 5*x(p). What is h*q(v) + 2*a(v)?\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -971 * 502864\nAnswer: -488280944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t + 2. Let z = 0 + 6. Find the third derivative of -c**2 - t*c**6 - 2*c**z + 5*c**6 wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 8*d - 6. Let b be g(10). Let o be (-46)\/(-14) + (-4)\/b. Solve -t = -0 - o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1678740053?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -47\/2 (b) 3 (c) 5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(170) - (-2*sqrt(170) - sqrt(170)) - sqrt(170)))\/sqrt(10) - (sqrt(17)*2*5 - (sqrt(17) + sqrt(17) + sqrt(68) + -1)).\nAnswer: -21*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -23. Let b(w) = w**3 - 12*w**2 - 14*w - 4. Let d(u) = 2*u**3 - 25*u**2 - 29*u - 9. Let z(o) = c*b(o) - 6*d(o). Give z(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 8 - 5*y + 2 + 0*y.\nAnswer: -3*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = 2*a - 8, 3*s + 3 = 0. Suppose 0*r - a*r + 61 = 5*m, 14 = 2*m - r. Calculate the highest common divisor of 36 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -17161*b**4 + 2094952*b**3 - 4278485*b**2 + 317450*b - 6000 = 0.\nAnswer: 5\/131, 2, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2211 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/(((-24)\/14)\/(-1)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919452211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + j**4 - 2*j**3)*(-7 + 50 + 28) - j**4 + 2*j**4 - 4*j**4.\nAnswer: 68*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*c - 186*c - 16 + 16 in the form g + o*c and give o.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5760))\/(sqrt(392)*2 - sqrt(8)) + 3.\nAnswer: -12*sqrt(5)\/13 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*i + 34. Suppose -3*z = r + i + 5, 51 = -3*r + 3*z. Let q = r - -17. Calculate the smallest common multiple of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194554.64577 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/1116291 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44915 by 2.\nAnswer: 44915\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**4\/8 - 5*x**3\/6 - x**2 + 126*x. Let g(q) = -20*q + 32. Give 5*g(p) + 32*r(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/85 - (-1)\/(-5). Which is the third biggest value? (a) -2 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23516, 23455, 23368, 23249, 23092?\nAnswer: 22891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-192))\/(171\/(-76)))\/((-3)\/(-2)).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 33*i**2 - 58*i - 224. Give x(34).\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**3 - d + 4 - 2*d**2 - 4. What are the prime factors of t(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 1633551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*s**2 + 131*s + 25453 wrt s?\nAnswer: -52*s + 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305687 is divided by 794?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2564 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 358 and 14?\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + g = 1493, -4*k - 3723 + 746 = -5*g. Let i = k + 1674. List the prime factors of i.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninfffikirf. What is prob of sequence if?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1 and -0.0162309187047.\nAnswer: -1.1162309187047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16595298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*k = -168*k + 90 - 20 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, 15, 38, 77, 138, 227?\n\"Answer: u**3 - u**2 + 9*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69.8 - 2.8. Let f = a + -31. Let v = 34.82 - f. Round v to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 2*l**2 + l + 3. Let f(k) = -6*k + 4*k + k**2 - 124 + 97 + 4*k. Let u be f(-6). Give d(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090*p = -14269 - 12981 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102607651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-41 + 23 + 9 + (-1 - 0)) - 54?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 21*l**2 - 30*l - 49. Let o be w(-28). Let j = o - -122139\/26. Let z = 2371\/4 + -611. Find the common denominator of z and j.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -425 - 21?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3\/6 - 4628*o**2\/3 - 3704*o\/3.\nAnswer: o*(o - 1852)*(5*o + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*-4*(-783)\/72 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.12434?\nAnswer: 0.012434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47673 + -4528891\/95. Let q = k + -5\/19. Let w = -7 + 6.8. Which is the smallest value? (a) w (b) 0.6 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13914 - -51428. What is the ten thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30200 - -11?\nAnswer: -30123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2\/8 + (-501)\/132)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 5*k**3 - 2*k**3 + (0*k - 4*k + 5*k)*((4*k + 3*k - 6*k)*(25 + 6 - 15) + 2*k - k - 3*k)*(2*k + 0*k + k).\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(360) - (sqrt(360) - (sqrt(360) + sqrt(360) + (sqrt(360) - (-2*sqrt(360) - sqrt(360)))*-4 + sqrt(360))))\/sqrt(8))\/(sqrt(144)*1*1*-6))**2.\nAnswer: 21125\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11653306 and 2408.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -315*n**3*u + 1138*n**3 - 2*n**2*u - 4*n*u - 153496*u wrt n.\nAnswer: -1890*n*u + 6828*n - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 7300615*z + 7300620.\nAnswer: -5*(z - 1)*(z + 1460124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = d - 2*o, 5*d = -5*o. Suppose 2*m = -i - 77 + 94, -5*i + 52 = -m. Sort d, m, -5.\nAnswer: -5, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((((x\/(x*x**5))\/x*x*x*x)\/x)\/x*x)\/x*x*x)**47 assuming x is positive.\nAnswer: x**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o**2 - 3*o + 3*o + (6*o - 2*o - 2*o)*(4*o - o - 5*o))*(2 - 3*o - 2) to x + j*o**3 + k*o + v*o**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312 (base 9) in base 16?\nAnswer: 3d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 172\/22 - (60 - 52). Let j = -0.1 + 0.3. Let z = j + -0.5. Which is the nearest to 0? (a) 0.5 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19236155137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1370*z**3 + 349*z**3 + 577*z**2 - 577*z**2 + 350*z**3 + 335*z**3 + 342*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 266 and (7 - 0)*(-852)\/(-994).\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 4:05 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 17, 52, 101, 164, 241?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 4*p + 6 + p**2 - 4*p. Let d(w) = -27*w. Calculate d(o(h)).\nAnswer: -54*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -48. Calculate the smallest common multiple of 20 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13*(4 - (-13 - -4)). Let s = 269 - w. Suppose g = v - 6*v + s, -5*g + 120 = 5*v. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2349*u + 1959 = -12135 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 5*u**7\/2 - 7*u**4\/2 - u**3\/3 + 13*u. Find the third derivative of k(q) wrt q.\nAnswer: 6300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*w = -8, 0 = -4*w - 3 - 13. Let j(d) = -d - 18. Let m be j(-17). Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from vjbjkkjwwkbwjew.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 125, 160, 13\/5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.62038 - 0.11622. What is n rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -2)\/(3\/4). Let f be 0*((-10)\/4)\/(-5). Suppose -u*x + f*x = -48. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 7 - 11)*(-2*j - 12 - 30 + 6) as p*j + f and give f.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**4\/4 + c**2 - 8*c + 64. Determine f(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4027 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(84)\/sqrt(96))\/((sqrt(1008)*2 - sqrt(7)) + sqrt(7)).\nAnswer: -1 + sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - (-99)\/20)\/(2\/(-16)). Solve p*n**5 + 4\/5*n - 2\/5*n**2 + 0 + 2\/5*n**4 - 6\/5*n**3 = 0 for n.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (62\/(-4))\/((-3)\/6). Let a = h + -1. Suppose 0*k + a = k. What is the highest common factor of k and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 12.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 44929, 7, 0.08, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36524*z**5 - z - 17632?\nAnswer: 730480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 707166 and 24786.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125943768.\nAnswer: 2, 3, 23, 101, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3407, -13597, -30577, -54347?\nAnswer: -84907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 13*a**2 - 10*a - 30. Determine x(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - y**2 + 60700. Let g be c(0). Suppose 4*q + g = 2*q. Let s = -11350 - q. Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 17 + 22)*(-20*b**3 + 20*b**3 - 7*b**4).\nAnswer: -336*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-8))\/(1 - 12\/8). Suppose 0*f = -g*f. Solve -2\/3*o**2 + 0 + 1\/3*o**3 + f*o = 0 for o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**1*l)\/l))**44*(l*l**8)\/(l**(4\/11)*l))\/(((l\/(l**(-1\/2)\/l*l))\/((l**9*l)\/l*l))\/((l*l**4*l)\/l**(1\/10))) assuming l is positive.\nAnswer: l**(-1208\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 + 25.9. Let n = l + -24. Which is the second biggest value? (a) n (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/45)\/((-2)\/5)*1713. Let d = h - 854. Is 55 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 160*u**2\/3 - 1118*u\/3 + 676\/3.\nAnswer: -2*(u - 13)**2*(3*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1. Let p(x) = 41*x - 4. Give p(r) + 4*z(r).\nAnswer: 41*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15*x - 3. Let j be p(-3). Suppose 135 = 7*g - 285. Suppose -3*y + 3*k + g = -6, -4*k - j = -2*y. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3346, 3342, 3336, 3328, 3318?\nAnswer: 3306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - y + 0*y = -162, -3*f - 5*y + 150 = 0. Let l(r) = 4*r - 1. What is the remainder when f is divided by l(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1340508\/295 + 22721\/5. Find the common denominator of 58\/413 and q.\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 41 = 5*o + 15*h, -2*o + 10 = -5*h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10)*22\/(-66). Which is the fourth biggest value? (a) -2\/13 (b) -13 (c) g (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mscmscssscmomcdm. What is prob of picking 3 m?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*(s\/s**4)\/s)*s\/s**(-4)*s*(s*s*s*s**0*s)**(2\/31)*s\/s**(-2\/13)*s**3*(s\/s**(-1\/3)*s)**(-1\/26) assuming s is positive.\nAnswer: s**(34631\/2418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, o: 1, k: 3, l: 5}. Give prob of picking 1 k and 2 r.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*g + 1269 + 9843 = 0, -g + 13890 = 5*q. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (18 - 12) + 7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -13 - ((78 - 80) + 0 + 20)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 51. Let c be d(19). Solve -a - 2*a = -c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -28. What is the remainder when 120 is divided by o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 - 4*j - 14. Let g(m) = 7*m**2 + 7*m + 27. Let s(t) = 7*d(t) + 4*g(t). What is the first derivative of s(h) wrt h?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-2 + 1 - 3)*(-794*k - 796*k + 1764*k) as n*k + j and give n.\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -3ed?\nAnswer: 3e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 118*x**3 - 120*x**2.\nAnswer: 2*x**2*(x - 60)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t + 1 - t + 2*t**2 + 0 + 2*t. Let o be d(-4). Let c be (-8)\/(-14)*7\/o. Is c smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*p - 266*p**2 + 77*p**2 - p**3 + 170*p**2 - 18 + 22 to j*p + q + b*p**3 + f*p**2 and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 535.65319 - 1432.\nAnswer: -896.34681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 2, 1\/54?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2560 and 63300320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -111.3 from -67931.42.\nAnswer: -67820.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 67772.7 decades?\nAnswer: 6777.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h - 3. Let a(p) = p + 5 - 3*p - 5*p. Let z(c) = -3*a(c) - 5*o(c). Let b(m) = 5*m**2 - 4*m**2 - 2*m**2. Determine b(z(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Let k(m) be the first derivative of 0*m**3 + 0*m**2 + 3\/5*m**5 + 0*m**h + 2*m - 2. Find the first derivative of k(v) wrt v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6)*42)\/4*20.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 657949 and 7?\nAnswer: 4605643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482.6397 nanoseconds to microseconds.\nAnswer: 0.4826397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -9588*i + 9590*i + 2*y, 2*i - 54 = 7*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6661400232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/10)*x)\/x)**(-1\/23) assuming x is positive.\nAnswer: x**(-7\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**4\/5 + 4*f**3 + 66*f**2\/5 + 72*f\/5 = 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 3*t**2 - 5*t - 11. Let o be y(-4). Let b(q) = 3*q**3 + 2*q**2 - 2. Let l(v) = -9*v**3 - 6*v**2 + 7. What is o*b(n) - 2*l(n)?\nAnswer: -3*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (5 - 12) + (-12 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/((-9)\/(-8)) + 6\/(-4)*-12. Solve -2*l + v = 0, 2*s + 12 = -117*l + 119*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248390055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from zzbbb?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 17. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -129*u. Let o(w) = -72*w**2 + 516. What is o(i(v))?\nAnswer: -1198152*v**2 + 516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24461 - 24459. Calculate the lowest common multiple of t and 434.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441782 divided by -18?\nAnswer: 80099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/4 or 255\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 5\/2) + 116\/8. Suppose 4*u = 2*b - 16, -u - p = -b - 4*b. Let s(z) = -z**2 - 7*z + 10. Calculate the least common multiple of s(-7) and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 7*m**2 + 7*m - 4. Let r be l(8). Let y be ((-8)\/(-3))\/((-8)\/r). Solve -4*i = y*b + 16, -b = -2*i - i - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (154\/88)\/((-2)\/(-16)). Suppose 5*m - 372 = -127. Let q be (-4354)\/m + (-2)\/f. Round q to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -106\nAnswer: 11\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -395.8 - -392.8. Let v = 3 + -4. Which is the nearest to v? (a) m (b) -1\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.2 (b) 0 (c) -4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-4)\/(-3) + (-28)\/(-42))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17435 at least 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 - 144*i**2 + 124*i - 622. Determine c(-37).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1407\/8, -5, -4 in increasing order.\nAnswer: -1407\/8, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788729.3g to nanograms.\nAnswer: 788729300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11146, -22294, -33442, -44590, -55738, -66886?\n\"Answer: -11148*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, -3, 5\/9?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2322 + -2315. Which is the second biggest value? (a) x (b) 5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, g: 1, d: 1, c: 5, y: 3, v: 3}. What is prob of sequence vccn?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -20*i - 2. Let o be (4*13\/26)\/(-1 - 1). Determine q(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*i - 12 = 4*o, -o + 8 = -3*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15676374 and 0.\nAnswer: 15676374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*o - 20, 6 = -5*x - 0*x + 4*o. Let g = x - -2. Let q(f) = 3*f - 9. Calculate the remainder when q(8) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211 or 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 183 = -60. Let q = 88 + i. Let d(w) be the first derivative of w**4\/4 - 7*w**3\/3 + w**2\/2 - 4*w - 13. What is d(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*n - 9. Let y(p) = p + 12. Calculate the remainder when y(-4) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/3 + 2*p**3 + 39*p**2 + 90*p.\nAnswer: -p*(p - 15)*(p + 3)*(p + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5146 divide 69461372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - l - 7 = -4*l, -4*t + 5*l = -3. Suppose t*j - 2*y = 5998 + 1666, 5*j - 19196 = -4*y. Suppose 0*b - 4*b = -j. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4) + -1 - (sqrt(1088) + 5).\nAnswer: -7*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 365632?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 20, -5 in ascending order.\nAnswer: -5, -2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -103934, -208043, -312152, -416261?\n\"Answer: -104109*t + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 19526.63 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -135 + 101 - ((1 - -2) + -17)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10336 - -213?\nAnswer: 10552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32.071582 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**4\/12 - 5*k**3\/6 - 2*k**2 + 413*k. Let o be ((-6)\/(-8))\/(3\/(-12)). Calculate h(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*r**2 + (2*r + 2*r + 2*r)*(-6*r + 0*r + 3*r) - 4 - 2*r**2 + 4)*(-2*r - 3*r + 6*r) to f*r**3 + t*r + j*r**2 + w and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103212123122 (base 4) to base 15.\nAnswer: -6b7628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 6*h - 7. Let w be m(7). Suppose -k + 17 = 2*k - 4*o, k + 5*o + 7 = w. Let c be -3*k*(-6)\/27. Solve 4*b - 4*p + c = 10, -4*b - p = 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o**2 - o**2)*(-4*o + 0*o + 5*o) + 140*o**3 - 987*o + 987*o.\nAnswer: 142*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsuqqiqessuqo. Give prob of picking 2 s.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -21*s + 48. Let q(u) = -3*u + 7. Let o(i) = 27*q(i) - 4*z(i). Give o(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1069 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 27*g - 62*g + 27097. Solve -693 + g = -28*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21411 + 285?\nAnswer: 21696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4887 divided by -3?\nAnswer: -1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 3) + (2 - 7) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/52 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11200211022 (base 3) to base 10\nAnswer: -92456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*(13416\/215)\/39.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -34560 <= -34562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8278 + -4761. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 429*o**4\/5 + 15441*o**3\/5 + 43221*o**2\/5 + 28011*o\/5 - 198\/5 = 0?\nAnswer: -33, -2, -1, 1\/143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 52 = -17. Let u(m) = -m**3 - 8*m**2 - 7*m + 2. Let q be u(b). Suppose q = 3*r - 7. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 + (-42)\/100. Let g be ((-3)\/(-3))\/(255\/(-340)). Let v(n) = 4*n - 55. Let z be v(14). Which is the nearest to z? (a) g (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1\/148007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00535 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 29 = 3*j - v, -4*v - 26 = -5*j. Calculate the greatest common factor of j and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-11 - 452)*1*-1 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 + 92. Let s = k + -8.06. Which is the smallest value? (a) s (b) 5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*i + 13*i - 36*i)*(33*i - 5*i**2 - 33*i) + (-2*i**2 + i**2 + 3*i**2)*(i + 0*i - 3*i) to the form f*i**3 + a*i + z*i**2 + u and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(304) + -3)**2 + 2 + 4 + (sqrt(304)*2)**2*-2 + 3.\nAnswer: -2105 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -103*i - 706. What is h(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776080794?\nAnswer: 2, 3, 129346799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15.07 * 4\nAnswer: 60.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-3)\/(-2)) + 31 + (30312 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**3 + j**4 + 2*j**3)*(-3 - 2 + 3) + 434*j**4 - 892*j**4 + 455*j**4 + 1352*j**3 as v*j**2 + a + f*j**4 + n*j**3 + u*j and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20\/143, -36, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 189601798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -488*q**4 - 19 + 7*q**2 - 136 + 2*q**2 - 9*q**2 wrt q?\nAnswer: -1952*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 49, 80, 169, 346, 641, 1084, 1705, 2534?\n\"Answer: 5*f**3 - f**2 - f + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -404 by -5.\nAnswer: 404\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 - 73. Suppose -l*r - 7600 = -2*v - 2*v, -3790 = -2*v + 4*r. Let a = v + -950. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from {r: 5, x: 1, l: 3, y: 4}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71, 116, 161, 206, 251, 296?\n\"Answer: 45*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3538644 millilitres to litres.\nAnswer: 0.0003538644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 42 + 16. What is the greatest common divisor of u and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -71 (c) 0.13 (d) -0.5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 396832465 to the power of 1\/3, to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1407305+4\nAnswer: -1407301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17201\/40 + -430. Let b(u) be the third derivative of 0 - 1\/4*u**4 + c*u**6 + 0*u**3 + 8*u**2 + 0*u + 1\/20*u**5. Factor b(k).\nAnswer: 3*k*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15133, -15135, -15137, -15139, -15141?\nAnswer: -15143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 356870389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232 - -3023?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 4*g + 2*g**2 - g**4 + (3*g + 2*g - 3*g)*(4*g**3 - 4*g**3 + 3*g**3) + 0*g + 0*g + 2*g**4 - 4*g**2 - 3*g**4 + 4*g**2 + 0 - g**4 + 0.\nAnswer: 3*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.0159 + -0.5159. Sort b, 5, -0.4, -0.1 in ascending order.\nAnswer: -0.4, -0.1, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 + 2. Let w(g) = 34 - 14 + 6*g**2 - 15 - 16 - 20*g**2. Let f(z) = 5*z**2 + 4. Let o(t) = -8*f(t) - 3*w(t). Calculate 5*o(k) - 2*q(k).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*u - 79 - 66. Solve 2*f - 2*q + 1 = 17, 0 = u*q + 25 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or 66?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 65 + 171. Let p = 113 + q. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/10)*r**(-18)\/r*(r*r*r**(-2\/43))\/r*r**(1\/19)\/r)**(20\/7) assuming r is positive.\nAnswer: r**(-305458\/5719)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2186, 4444, 6702?\nAnswer: 8960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**5\/60 + p**4\/36 + p**3\/18 - p**2\/6 + 5*p. Factor z(h).\nAnswer: -(h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258046 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 - 208116*i - 208118 = 0.\nAnswer: -1, 104059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1117 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 472 - 459. Calculate the smallest common multiple of m and 5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 9*w**2 + 5*w - 14. Let v be a(-10). Suppose -5*c + 79 = -41. Calculate the highest common divisor of c and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*y - 22, -l - 3*y = -5*y - 23. Let i be (-2)\/(-5) - (-4)\/(-10). Suppose 4*g = 4*f + 20, 2*g - 3 = -g - 3*f. Solve g*d + i = l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 27\nAnswer: -19\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(5*t**2 - 5*t**2 + 2*t**5) + t**4 - t**4 + 3*t**5 + (0*t + 0*t + t)*(3*t**4 + 3*t**4 + 0*t**4).\nAnswer: 5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.225, 0, 5 in descending order.\nAnswer: 5, 0.225, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -29*y**2 + 22*y - 8. Let c(h) = 14*h**2 - 10*h + 4. Let w(u) = -7*c(u) - 3*t(u). Let r(j) = -88*j**2 + 33*j - 33. Give -4*r(k) + 33*w(k).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**8\/840 - 3*a**7\/280 + 11*a**6\/360 - a**4\/6 + 11*a**3\/3 + 32*a. Let n(y) be the second derivative of l(y). Factor n(p).\nAnswer: (p - 2)**2*(p - 1)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -2) + 36\/8. Which is the nearest to -1? (a) -1\/4 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 807 - 173. Is j - ((-2 - -2) + (-6)\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 8*a**2 + 13*a - 10. Suppose 3*h - 19 = -4*u + 10, -3*h + 2*u = -17. Let o be s(h). What is the highest common factor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.18 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022 + 22?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2\/(-8) + ((-551056)\/(-64))\/101.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717913369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/6 and 39\/19624282.\nAnswer: 58872846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 1\/210*a**5 + 0*a + 1\/42*a**4 + 0 + 0*a**3 - 2*a**2. Factor q(x).\nAnswer: 2*x*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 greater than -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 + 2719 = 7*x. Suppose -4*o - 321 = -2*a - 5*o, 5*o - x = -2*a. What is the highest common factor of 200 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-6)*2\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z + 0 + 0)*(-176 + 1668*z**3 + 175 - 5984*z**3) as m*z**3 + q*z + d + a*z**4 + v*z**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(5) - sqrt(5))*4*-5.\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23649 - -47355\/2. Factor -75\/4*c**3 - 21*c - 6 - 6*c**4 - q*c**2 - 3\/4*c**5.\nAnswer: -3*(c + 1)**2*(c + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o**(2\/17)*o*o**(-2\/9)*o\/(o\/o**(-3)))\/(o**(-7)\/(o**1*o*o)*(o\/o**(-3\/7))\/o**(3\/4)) assuming o is positive.\nAnswer: o**(9497\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -33 (c) -0.9 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i\/(i*i**(-11)))\/i*i)*i*i*i**(-1\/4)\/i)**(-8) assuming i is positive.\nAnswer: i**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:17 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9021788 decades?\nAnswer: 0.09021788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1490*u + 231969. What is a(156)?\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10000010110110111 (base 2) to base 9\nAnswer: 111813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (5*sqrt(288)*-3 - sqrt(288)) + 1 + ((sqrt(288) - -1*sqrt(288)) + sqrt(288))**2 + -2).\nAnswer: -10360 + 768*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8755 and 117980.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 0. Let d = x - -39. Suppose 2*w = -d*m + 3*m + 85, -4*m + 195 = 5*w. Calculate the remainder when 64 is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0*k + k**3 + 0 + 1\/120*k**6 + 7\/24*k**4 + 5*k**2 + 7\/60*k**5. Is 13 a factor of l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(1 + sqrt(19)) + -2.\nAnswer: 3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 15\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a hour in seconds?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + t + 2 = -1, 0 = 4*a - 7*t - 43 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/32)\/(1\/(-10)). Let k = 3 + g. Is k at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**6\/120 + 7*f**5\/20 - 5*f**4\/6 + f**2. Let h be d(20). Solve -3*p = 3*q + p - 16, 3*q + 2*p - 8 = h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-0.2071\nAnswer: -0.3071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, z: 3, h: 1, d: 3, s: 3, i: 1}. What is prob of picking 1 s and 1 e?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-115)\/60)*(60729\/(-465) - -131)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43c31 (base 13) to base 5.\nAnswer: 12413103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -17. Sort -12, 5, p in decreasing order.\nAnswer: 5, p, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -5 (b) -2\/13 (c) 554\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4242 = -15*d + 12*d + 3*q, 0 = 3*d + 2*q - 4217. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10*d**3 - d - 1. Let y be i(-1). Suppose 0 = -2*t + y, 0 = 4*u - 0*t + t - 53. Let a be (-18)\/4*(-40)\/60. Put u, -1, a in descending order.\nAnswer: u, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -5.4570415453142.\nAnswer: -5.9570415453142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 2005*p\/3 + 8036\/3.\nAnswer: -(p - 4)*(p + 2009)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.981477386 rounded to 3 dps?\nAnswer: 0.981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 394062765 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1607 divided by -21047?\nAnswer: 1607\/21047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14698 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1193 - -755. Suppose -3*f - f = -h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1032314813877.431603 + 1032315470092. Let m = 656214 - f. Let l = m - -0.568. What is l rounded to five decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*h - 3*h + 4*x, 0 = 4*h - 3*x + 12. Suppose 0 = -2*g + 4*y + 56, y + 1 = -h. Calculate the least common multiple of g and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.2399\nAnswer: 1.1995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 4. Let p(t) = t**3 - 11*t - 11*t**2 - 4 - 3*t**3 - 5 + r*t**3. Let d(i) = -i**3 + 6*i**2 + 6*i + 5. Give 11*d(m) + 6*p(m).\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6460 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-76)\/(-70)*(-1)\/3. Let g = -1\/35 - u. What is the third biggest value in -5, 0, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 2*n + 11\/2*n**2 + 5 - 5\/3*n**3. Find the second derivative of i(j) wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 12*z + 12. Let x be m(-6). Suppose 0 = -2*t - 2*f + 20, 0 = t + 4*f + 2 - x. Calculate the remainder when 50 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 146*a - 124*a - 14, 0 = k + 2*a - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:24 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 1 - -23 - -11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**4\/6 - v**3\/6 + 3*v**2. Let b(o) = o**2 + 13*o - 4. Let l(p) = 2*b(p) - 7*n(p). What is l(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1dbe - 16c?\nAnswer: 1c52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -34 + 0*l**3 - 9*l - 1\/4*l**4 + 0*l**5 - l**2 - 4\/3*l**6. What is the second derivative of d(r) wrt r?\nAnswer: -160*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 17*m + 13. Let d(b) be the second derivative of -3*b**3\/2 - 7*b**2\/2 - 8*b. Determine -6*c(p) - 11*d(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.963 - -0.037. Let r = 59.99942 - i. What is r rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(20)\/sqrt(36)) + 5)**2.\nAnswer: 30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3071*18.13.\nAnswer: -55677.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006294146501 to 7 dps.\nAnswer: -0.0000629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26581*x**6 - 5*x**2 + 129*x + 3 wrt x.\nAnswer: -3189720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - q + 2. Let b(d) = -5*d**2 - 2*d + 4. Let p(h) = -4*b(h) + 9*n(h). Let t be p(2). What is the units digit of 1\/((-14)\/t - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -5. Let k = w - -3. Calculate the common denominator of 49\/5 and (-1)\/2 - (-62)\/k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147728 is divided by 1555.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036802 less than -5?\nAnswer: -2036807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z + 32. Let u be 9\/6*(-88)\/(-3). Let y = u - 26. Calculate the remainder when y is divided by o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 327 - 292. Let g(d) = -d - 6. Let r be g(-6). Suppose 2*l - 5 - 1 = r. Sort -1, s, l, -7.\nAnswer: -7, -1, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4439, 1, -1, -2 in increasing order.\nAnswer: -2, -1, 1, 4439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2225\/801 + (-191208)\/(-1674)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 + 2*n - 4. Let h(a) be the first derivative of -7*a**3\/3 + 5*a**2\/2 - 9*a + 13. Calculate 2*h(r) - 5*j(r).\nAnswer: r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -129000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 20189*v**2 - 22*v - 8. List the prime factors of l(-2).\nAnswer: 2, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1789810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103232 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -10*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9867287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 34, 5, -14, -1 in decreasing order.\nAnswer: 34, 5, 0, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19960, -40064, -60166, -80266, -100364?\n\"Answer: m**2 - 20107*m + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-13))**35)**(32\/7) assuming c is positive.\nAnswer: c**(-2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/19))\/u**(6\/11))\/((u\/(u**(1\/4)\/u*u))\/u*u\/u**(-3\/4)) assuming u is positive.\nAnswer: u**(-393\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152) - 3*sqrt(152)*-1))\/(sqrt(16)\/sqrt(2)*2) - ((-3*(sqrt(2736) + 1 + sqrt(2736)) - (0 + sqrt(2736) - sqrt(2736))*2)*4)**2.\nAnswer: -1576080 - 13827*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81\/4 - -20. Let r = 72 + -359\/5. Which is the nearest to i? (a) r (b) 2\/9 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -651349059 and 0.02.\nAnswer: -651349058.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 151210 and -34?\nAnswer: -5141140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/298743 - 2175347000\/3286173. Let j = i + 662. What is the second smallest value in -5, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4 (b) -3\/4 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2\/(-2))\/((-1)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*q = 2*c - 25, -4*q = 2*c - 24. Let u(l) = l**3 - 15*l**2 + 14*l - 2. Let i be u(c). Sort -3, i, 2 in ascending order.\nAnswer: -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2262*a**2*y + 5432*a**2 + 9*a*y + a - 153275*y wrt a.\nAnswer: -4524*y + 10864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 285*f - 900.\nAnswer: 5*(f - 60)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-9))\/1*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 4)*(-19*f + 15*f - 24*f) as u*f + q and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.2421062581 and 7878?\nAnswer: 7864.7578937419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41963*n**4 - 24*n**3 + 141*n**2 + 724*n - 597418.\nAnswer: -503556*n**2 - 144*n + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 912 and 220391184?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 113616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/9 or 27233?\nAnswer: 27233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + (42 - 163) + 18 + 5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-5 - 6)) + (1 - 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 13 + 3*o - 3*o - 5*o as w + m*o and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (sqrt(891) - (sqrt(891) - (sqrt(891) + -1)))) + sqrt(891) + sqrt(891))**2*-2 + -3*(3*sqrt(704))**2.\nAnswer: -26138 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 36*t**2 + 3*t**3 + 21 - 27 + 36*t**2 in the form v*t**3 + o + a*t**2 + c*t and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - y = 6*u - 9, 2*y = 3*u - 8. Let n be (600\/(-32))\/(18\/48). Let q = n - -56. What is the remainder when q is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751627771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 3625.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**3 + 1416*h**2 + 106596*h + 2297360 = 0. Calculate h.\nAnswer: -260, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13715, 23\/1915, 0.4?\nAnswer: 23\/1915","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t = 5*t + 15*t - 28, -g - t = -2 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -66, -122, -194?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/432*15*10\/(-15).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiidiiid. Give prob of picking 1 d and 1 i.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2475078157.\nAnswer: 13451, 184007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502931.\nAnswer: 11, 13, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -0.2, -0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 28. Suppose r*k - 4*k + 9 = 3*f, -3*k + 7 = 2*f. Let 2\/7*q**5 + 8\/7 + 32\/7*q + 50\/7*q**2 + 38\/7*q**k + 2*q**4 = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2.7. Which is the closest to -1\/3? (a) 0.2 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*y + 85 = 0, h - 8*y + 6*y = 5. Which is bigger: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-10))\/(2\/1960). Suppose 2*k - s = -2*x - 2*x, -4*x = -4*k - 368. Suppose 3*n + 2*z = x, 2*n - 160 = -3*n - 5*z. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2464)\/(-396) + (-2)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 times 302?\nAnswer: 27784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2001777*z**4 - 2501987 wrt z.\nAnswer: -8007108*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*l + 75221 = 355*l + 386*l + 1599*l for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93.7 - -93.8. Which is the nearest to k? (a) 6 (b) -8 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0.2. Let r = 736.5 + -741.4515. Let q = r + -0.0485. What is the biggest value in 0.4, q, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 161*u**2 - 144*u + 294. Calculate v(2).\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 444488 and 363672.\nAnswer: 4000392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tptp when four letters picked without replacement from {p: 3, t: 5, h: 1, l: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (858\/715)\/((-148)\/(-90)) and -36\/703.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115 - -109. Let h(b) = -b**2 - 7*b - 2. Is h(s) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 13 - 1 - 5*n**2 - 15*n. Let j = -2029 - -2024. List the prime factors of h(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 15*c**3 - 5*c**2 + 5*c + 20. Let z(n) = -16*n**3 + 4*n**2 - 4*n - 21. Let r(s) = -4*l(s) - 5*z(s). What is the derivative of r(d) wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15523344 + -2?\nAnswer: 15523342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 40?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 66 = 2*n - 0*n, 0 = -3*n - 2*m + 94. Suppose -2926 = 13*l - n*l. List the prime factors of l.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 12*i**2 + 0)*(2 - 2*i**2 - 2 + (-1 + 2*i + 1)*(2*i - 4*i + i) + 0*i**2 + i**2 + i**2) to f*i**4 + h*i**2 + k*i + q*i**3 + z and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 60) + 10 + 21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 202651.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 5*q**2 - 28*q - 1. Suppose 0 = -171*v + 434 + 25900. Calculate the remainder when v is divided by n(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 1190.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*m**5\/11 + 434*m**4\/11 - 3192*m**3\/11 - 512*m**2\/11 + 12928*m\/11 - 4896\/11 = 0. Calculate m.\nAnswer: -2, 2\/5, 2, 9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -18*h**3 + 19*h**2 - 28*h - 125. What is the hundreds digit of f(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 10*a + 44 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (103 - 3) + (-304)\/((-12768)\/1386)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3503 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 133\/21 + -7 + (-14)\/(-3). Solve 0 = l - 2, 3*m = -m + t*l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 11. Let f(x) = -5 - 3 - 5 + 2 + k*x. Let q be f(6). Calculate the highest common factor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/160055 or 0?\nAnswer: -16\/160055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.581 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*g + 34325, 5*q = 6*q - 3*g - 6849. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/17 - 6876*m**2\/17 + 6051672*m\/17 - 242189136\/17 = 0?\nAnswer: 42, 1698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o - 20*o - 30 = -60*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0339 and -0.37768.\nAnswer: -0.012803352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 18 = -v + 19, 3*v + 4*l - 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230 divided by 46.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/33*(-63 - -3)\/6. Which is the second smallest value? (a) 2 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-2)\/(-3)*3. Let p be k\/16 - 3\/6. Let q = -95 - -92. What is the nearest to -1 in q, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18434564?\nAnswer: 2, 199, 23159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 11, o: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1946 and 17\/8.\nAnswer: 7784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40404204 (base 7) to base 9\nAnswer: 6284886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, -5, -4, -8, 8225.\nAnswer: -8, -5, -4, 3, 19, 8225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-4)\/100 + (-510)\/125?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2. Let b(r) = 1 + 20 - 18*r**2 - 21. Give v(b(f)).\nAnswer: -972*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40560 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181 or 383?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8144506 - 3954503. Suppose -v = -a - 5*w + 6*w, 2*a - 8380009 = 3*w. Round a to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17136\/4760)\/((-468)\/(-100))\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 y when four letters picked without replacement from uuuyyyyuuuyu.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t + 6. Let w be j(-7). Let s be (4 + 15\/(-4))*0 - 0. Let n be (-11)\/w + (s - 1). Which is the closest to 1? (a) 0 (b) -2\/19 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25272049235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000432507 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6263*f - 2*f**2 + 12542*f - 98 - 6279*f + 20.\nAnswer: -2*f**2 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79309 or 78996?\nAnswer: 78996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*c + 51, 4*c + 6 - 36 = -2*j. Suppose -7*k + j*k + 4370000 = a, -3*a = 4*k - 13110000. Round a to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60736*i**3*j**2*x - 108*i**3*j - 20*i**3*x - i**3 + 46*i**2*x - i*x - i - 67 wrt j.\nAnswer: 121472*i**3*j*x - 108*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3816234 and 1060065?\nAnswer: 19081170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3487795 and -155219.\nAnswer: -155218.6512205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(1300)).\nAnswer: -20*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znffhznh. What is prob of picking 1 f and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f. Let x(t) = -3*t. Let b(v) = -8*o(v) + 5*x(v). Let n(m) = 2*m - 5. Let w be n(5). Determine b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1850*q**3 + 14*q - 11. Let t(m) = 617*m**3 + 4*m - 3. What is -2*p(o) + 7*t(o)?\nAnswer: 619*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -3*h**2 - 1\/60*h**5 + 3\/8*h**4 + 0*h + 1\/2*h**3 + 0. Is t(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -25.3. What is the nearest to -2\/15 in r, -6, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**10\/n)\/(n\/(n*(n\/(n\/(n\/(n\/n**(9\/2))*n)))\/n)*n))**(-22))**(-31))**19 assuming n is positive.\nAnswer: n**174933","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653892420.\nAnswer: 2, 3, 5, 17, 643, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, 6, 16, 30, 48?\n\"Answer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464 (base 9) to base 5.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 103639 divided by -494\nAnswer: -103639\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 2*u - u + 3*u - 7*u + 2*u + (1 - 2 - 2)*(5*u + 2*u - u) + 18*u - 37*u + 8*u.\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1314*d**3 - 24 - 1714*d**3 + 181*d + 24 - 514*d wrt d?\nAnswer: -2400*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.565174*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*m + 20, 15*s - 18*s = 2*m - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.9 - 4. Let s = 0.3 + -0.3. Sort w, s, 2\/11 in ascending order.\nAnswer: w, s, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 8*i + 2 - i - 5*i - i + (5*i + 0 + 0)*(2 - 1 - 4) - 5*i + 0*i + 6*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000940974 to seven dps.\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b**2 - 3*b**2 + 0*b**2)*(2*b**2 - b**2 - 4*b**2).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 1. Let z be u(-2). Suppose z = 2*w - 273. Suppose -3*k = -3*p - 459, k = p - 5*p + w. Does 35 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3634097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1967753 or -3\/10?\nAnswer: 1967753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a millisecond in microseconds?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*u**2 - 21 + 21)*(157*u**2 + 155*u**2 - 4 - 475*u**2 + 160*u**2 + 6*u).\nAnswer: -72*u**4 + 144*u**3 - 96*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670146.2nm to centimeters.\nAnswer: 0.06701462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 345395, 345392, 345381, 345356, 345311?\n\"Answer: -i**3 + 2*i**2 - 2*i + 345396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 10 - 18. Suppose -32*s + 30*s + 6 = 0. Suppose 6 = s*q - 0*q. Solve -q*y = l*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 0. Let f(i) = -i + 1. Let g(y) = -2*y - 5. Let d(u) = 2*u + 4. Let r(w) = -6*d(w) - 5*g(w). Calculate b*f(q) + 3*r(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/2*50\/(-125).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 12 = r. Let q be 86\/8*(r + 4). Suppose -2*y + q = y. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -7 + -3 + (-46 - -42).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-646*y**3 - 2636 + 2636)*(2 - 5 + 2)*(2 + 1 + 0).\nAnswer: 1938*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*s + 42 = -b, -5*b + 2*s = -96. What is the highest common factor of 12 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.2283875 to zero decimal places.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3 + f)*(11*f**2 - 33*f**2 - 38*f**2) to the form s*f**2 + u + k*f**3 + r*f and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 3*b - 124. Let j be r(-9). Put j, -1, 14, -3 in descending order.\nAnswer: 14, -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 3\/2*c**2 + 6*c + 5. Determine f(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 47*g - 46*g. Solve g*b - 9 = -34 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 50 = 0, -178*s = -3*l - 181*s + 45. Determine u so that 32\/7*u**4 + 12*u**3 + 72\/7*u**2 + 0 + 0*u + 4\/7*u**l = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.925547941 rounded to two decimal places?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-248)\/9)\/(-8) + (-12)\/27. What is the biggest value in 1, 481, r?\nAnswer: 481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*q = -5*q + 14, 20 = -2*g + 2*q. Let m = -4 - g. List the prime factors of m + (-3 - (3 - 11)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(208) + sqrt(208) + 3*sqrt(208) + -5)**2.\nAnswer: -400*sqrt(13) + 5300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2546, -2673, -2800, -2927?\n\"Answer: -127*n - 2419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6f30 - 0?\nAnswer: 6f30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1716)\/(-169) - 10\/65. Suppose -f*y + 108 = -302. What is the highest common factor of 164 and y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005395 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*y - 2)*(115*y + 306 - 306) + (2*y + 0*y + 0*y)*(8*y - 13*y - 13*y).\nAnswer: 194*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 4*a**2 + 4*a - 3. Let b be s(4). Suppose 3*x - b = -k, 2*k + 3 - 4 = -x. What is the closest to 1 in 2, 3, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = -2*v + 36. Let y be -1*(3 - 3 - -1). What is the third biggest value in y, 47, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/3804380 and -32\/12795.\nAnswer: 11413140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k**2 + 1. Let n(s) = -s**2 - 3*s**2 - 672 + 672. What is 5*n(i) + 2*v(i)?\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/35, 3, -4, -5, -0.6 in descending order.\nAnswer: 3, -2\/35, -0.6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4 - 6*c**3 + 3*c**3 - 16*c + 9*c**2 + 15 + 64*c + 25 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/3882 and 8\/27?\nAnswer: 34938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (sqrt(20)\/(sqrt(10) + sqrt(70)\/sqrt(7) + sqrt(10) + sqrt(10)))**2)*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 0.05049, 174?\nAnswer: 0.05049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2425? (a) -0.5 (b) 0.2 (c) -0.568\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8b + 4?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 355. Let j = x + -525\/2. What is the common denominator of j and -75\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 108. Is f + 2 + (0 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 3*g)*(32*g**2 + 0*g**3 - 29*g**2 - g**3 - 3) + g**4 + 0*g**4 + 3*g**4.\nAnswer: 7*g**4 - 9*g**3 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*l - 367*l + 14630 = 1190 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 202.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 5*a + 14, 25 - 16 = -3*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = 4. Suppose -7*i = -5*i - 40. Let v(g) = -i*g + 23*g - 2 - 3. Calculate v(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20068260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5 - 15. Suppose -2*w = -3*w + b. List the prime factors of (-5)\/(w\/16) - -48.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6869936 by 2.\nAnswer: -3434968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -31.75.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*f**2 - 2*f**4 - 41 - 2*f**3 + 44 - 60*f + 18*f**2 to the form o*f**2 + a*f**4 + l*f + n*f**3 + k and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 times -14?\nAnswer: -2954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43714620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*j - 2*j**3 - 336*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/4*((-1044)\/261)\/(10\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 14*m**2 + 14*m + 16. Let w be j(-13). Suppose -w*a - 10 + 34 = 0. What is the second derivative of -a*g**5 - 2*g**5 + 17*g**5 + 8*g wrt g?\nAnswer: 140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1902 and -4.\nAnswer: 0.7608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -18*d**3 + d**2 + 2*d + 3. Suppose 3*v = 9, 0 = -8*z + 7*z + 3*v - 11. What is the units digit of p(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 24)\/(4 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/12351 - -13714\/28819. Sort b, 3.6, -4 in ascending order.\nAnswer: -4, b, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g - 1869 + 118. Sort -2\/7, g, -1, 0.3 in increasing order.\nAnswer: g, -1, -2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**4*l**2 + 13891*g**4 - 88*g**3*l - 817*g**2*l**2 - 5*g**2*l + 2*g*l - l**2 + 4 wrt g?\nAnswer: 72*g*l**2 + 333384*g - 528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -49, -99, -175, -283, -429, -619, -859?\nAnswer: -1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -388*j**3 - 32*j**2 - 136*j - 96. Let u be l(-28). What is u rounded to the nearest one hundred thousand?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 2*g. Let w(r) be the second derivative of 11*r**3\/2 + 1732*r. Determine t(w(x)).\nAnswer: 1089*x**2 + 66*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*r - 2215 = -757*r + 105788 - 11008 for r.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 2 + (-1 - 0). Let c = 25 + -25. Solve 2*w - 6 + x = c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4\/7, -4, 3\/2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -2*q, q - 3*r - 7 = 4. Let l = 2 - q. Solve 0 = -l*t + 3*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -24120*a - 1688399. What is y(-70)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2\/11 - 50*d\/11 - 48\/11 = 0?\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137476 is divided by 455.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -426*r + 14316. What is m(33)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*x - 105*x + 188730 = 5*p, 4*p = -6*x + 283116. List the prime factors of x.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235517 is divided by 14718.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - k - 4, -u = -k + 11. Let i(w) = -3*w - 2. What are the prime factors of i(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/3 + 32*g**4 - 1328*g**3\/3 + 1408*g**2 - 3872*g\/3.\nAnswer: -2*g*(g - 22)**2*(g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 209*y - 218*y - 227, 0 = 4*p - y - 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 726584764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiinnininiin. What is prob of picking 1 i and 1 n?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*l + 10378 - 10262 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*m**3 - 117169*f*m**2*w + f*m*w - 63*m**3*w - 230461*m**3 + m*w + 4*m wrt m?\nAnswer: -6*f - 378*w - 1382766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (154\/35 - 4) + 1152\/45. Let n(o) be the second derivative of -p*o + 19\/2*o**2 + 0 - 8\/3*o**3. Differentiate n(y) wrt y.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10455913 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29493*p**2 - 8*p + 3625993 wrt p.\nAnswer: -58986*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -4 in descending order.\nAnswer: 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1375) - (1*sqrt(1375) - sqrt(1375)))\/(2*sqrt(44)))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17212 - 0.276215. What is v rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 2, r: 1, u: 1}. Give prob of picking 1 r and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4 - 5. Suppose 0 = -d*k + 3*z + 2*z, -z = 2*k + 13. Let l(g) be the first derivative of -g**3\/3 - 2*g**2 - g - 2. Give l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10764*f**3*z**2 + 30017583*f**3*z - 16586*f*z**2 wrt z?\nAnswer: 21528*f**3 - 33172*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 11:43 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-8))\/((-9)\/(-16)). Let i be 2\/(-17)*1745\/45. Let r = f + i. Which is the second smallest value? (a) r (b) -1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-14)*q)\/q**(-3\/8) assuming q is positive.\nAnswer: q**(-93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**2 - 4*t - 4. Let p(g) = 5*g**2 - 3*g - 3. Let u(i) = -4*p(i) + 3*x(i). Let q(c) = 10*c. What is q(u(h))?\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 + 4*l - 5. Let h(s) = -s**2 - s + 1. Give -9*h(j) - 2*x(j).\nAnswer: -j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 13, 15, 17, 19?\n\"Answer: 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 2*p**2 - 6*p - 2. Let o(v) = 7*v - 11. Let t(b) = -5*m(b) + 3*o(b). Find the first derivative of t(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55145681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4736 and 0.08.\nAnswer: 378.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -3. Let h be (-14)\/t*-1 - 1\/(-4). Suppose -h*b - 4*g - g + 48 = 0, 5*b = g + 147. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4813 is divided by 463?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t + 4 = 0. Let j = 8 + -2. What is the greatest common divisor of t and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1630\/12225*21\/(-2).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2*u*y**3 - 11*h**2*u*y**2 + 47*h**2*y**4 + 2*h**2 - u*y**2 - 2*y**4 wrt y?\nAnswer: 12*h**2*u + 1128*h**2*y - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Let i = -29.4 - -33. Let l = i - x. Which is the second smallest value? (a) 2\/13 (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*l + 1602*l = -5154 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.0075, -5, 2, 4, -1166.\nAnswer: -1166, -5, -0.0075, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**4 + 3*z**3 + 3*z - 4. Let n(q) = -2*q**4 - 2*q**3 - 2*q + 3. Let u(d) = -3*n(d) - 2*s(d). Differentiate u(m) wrt m.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4953594km in centimeters?\nAnswer: 49535.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/(2\/5)*(-42)\/(-189).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273.27 + 271. Round j to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v**2 - 4*v + 5. Let g(n) = n**2 - 3*n - 6. Let i be g(5). Is j(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39415211\/6640 + 94977\/16. Find the common denominator of c and -73\/16.\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*x + 0)*(-1 + 4 - 2)*(63 + 52 - 26).\nAnswer: -267*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8022 + 8022 + 262657*z**2 - 262644*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3141, -3386, -3605, -3798, -3965, -4106, -4221?\nAnswer: -4310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(-17) - 2) + (44 - 1 - (-111038400)\/(-2573120)).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/12 - 7*l**3\/6 - l**2. Let x(c) be the first derivative of -3*c**4\/4 - 2*c - 58. Determine 2*j(w) - 7*x(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645424987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + q - 4 = 0, 5*u + 2*q + 3*q = 20. Suppose u*y + 5*y - 15 = 0. Suppose -a + y = 2. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*s - 379*s + 120*s + 185*s = -322 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**3 + y**2 - 3*y + 2. Let r be w(1). Let t(z) = 5*z. Let j(x) = 96*x. Give r*j(u) + 117*t(u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/(-35)*4*(-5)\/(-100)*(-24)\/90?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 29 = -2*s - s, -2*s = 3*l - 21. Let a(h) = 2*h + 31. Calculate the remainder when a(19) is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/9, 4, 1, -0.34, -0.24?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133293870?\nAnswer: 2, 3, 5, 41, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10426*z + 628. Let s be a(22). What is s rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 8:58 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -12\/103 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -97663 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4335.7 or 0.1?\nAnswer: 4335.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y\/(y\/(y*y**(-40))))\/y)\/y)\/y*y\/y**(3\/17) assuming y is positive.\nAnswer: y**(-666\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 1040*d**2 - 5187*d + 197. Determine o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((3 - 3)\/(-3))\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose 4*o = -3*q + 7, -3*q - 9 = 5*o - 20. Suppose -o*u = -4*t - 2 - g, t - 11 = -3*u. Solve -3*z + u = -p, -5*p + p = 4*z + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 7*c**4\/12 + 2188*c. Let h be 4*1\/((-16)\/(-20)). Let q(o) = 5 - h + 9*o. Calculate m(q(x)).\nAnswer: 567*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -53. Let c be (-132)\/(-21) - 4\/j. What is the third derivative of -26*z**2 + 37*z**3 + c - 6 wrt z?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 a when three letters picked without replacement from aaaaaaaaaeaeaeaeaa?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -89, -178, -267, -356, -445, -534?\n\"Answer: -89*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 431609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.443 - 0.3?\nAnswer: 6.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 452*l + 3211. Determine d(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*1*282\/(-84). Let s = v - -3299\/168. What is the common denominator of 7\/10 and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*y + 533553 - 75702 + 119019. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 787584248, 787584249, 787584250?\n\"Answer: j + 787584247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 1. Calculate the lowest common multiple of 4 and b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(1\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10872?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14 - 9*c + 0*c**2 + 1 - c**2 + 9. Let t be b(-11). Let v be 5 + -2765 + t - 2. Round v to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -19. Suppose 0 = -2*c + 5*n + 29, 3*n - 2*n + s = c. Round c to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 - -2. Let m = 1.5 + -3.5. What is the nearest to -0.1 in j, m, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18570830*q**4 - 2*q**2 - 126672616*q wrt q.\nAnswer: 222849960*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2 = -i - 8, -5 = -5*x - 4*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttt. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116346 is divided by 55153.\nAnswer: 6040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8188, 8204, 8220?\n\"Answer: 16*j + 8172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from ornrnorrrrrhroroooo.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 41 + -2 + (-12)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 7, 0.2, -3, -0.1, -5\/6, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -15. Let c = u + -2. Suppose 4*n = n - 4*i - 4, c*i = -2*n - 12. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 8:59 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1056475 = 5*t + 151500, t + 905005 = -5*j. What is j rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d - 480 = 7*d. Let q be d*(-5)\/105 - (-3096)\/21. What is the greatest common factor of q and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 88 + (28 - 109). Factor -7\/2 - c*a + 1\/2*a**2.\nAnswer: (a - 7)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 x when four letters picked without replacement from uiiixuiuuiiiiiiuii?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/45*(-5)\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - k + 10 + 1, -9 = -r - 3*k. Suppose -3*d + 3 = -r. Suppose i + 1956 = -5*l, 787 = -2*l + d*i - 7*i. Round l to the nearest ten.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + -1 + 7 + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b - 37 = -5*p, 0 = p + b - 2. Suppose -5*h - g + 708 = 0, -p*h + 530 = -g - 172. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4*m)**(-2\/57)*m**(-1\/12)\/((m\/(m\/((m**(-2\/5)*m)\/m)))\/m*m*m))**(8\/5) assuming m is positive.\nAnswer: m**(-1958\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 q when three letters picked without replacement from {d: 4, q: 2, i: 4, g: 8, t: 1}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1 + 0 + 2*l + 0 - 2*l**3 - 2*l**2. Let s(p) = -p + 2. Let v be s(3). Let q(j) = j. Suppose -5*w = -g - 11, -g - 1 = -0*g. Calculate v*i(x) + w*q(x).\nAnswer: 2*x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -7.7, 47, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 7*m**2 + 13*m - 7. Let w = -4 + -6. Is j(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 15\/7 (c) -1\/5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(90\/(-52))*58310\/(-4459).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -25. Let b be (z\/2)\/((-6)\/(-348)). Suppose 4*r + 2*u = 194, 2*r = -2*u - 43 + b. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 364500304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*u - 1 + (6*u - 2*u - 2*u)*(-3 - 2 + 4) + (0*u - u + 3*u)*(5 - 6 - 10).\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 1.544776\nAnswer: -9.268656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t + 12. Suppose -5*w + 4*o = 64, 3*w + w - 4*o = -56. Let u(k) = -4*k - 4. What is w*u(a) - 3*y(a)?\nAnswer: -a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14304 minus 782307.4?\nAnswer: -768003.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2994 by 6.\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (9 - 4 - 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b*b\/(b*b*b\/(b\/(b**(-31)\/b*b*b)*b)*b))))\/((b\/(b**(4\/5)\/b))\/b) assuming b is positive.\nAnswer: b**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/40)\/((-11555)\/55464).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (95\/42180*74)\/(4\/564).\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11734.38ng in tonnes?\nAnswer: 0.00000000001173438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2\/2 - 18657*c - 116027883\/2 = 0 for c.\nAnswer: -6219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 18.\nAnswer: -23\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Let f(y) = y**3 - 5*y**2 + 2*y - 2. Let n be f(v). What is the units digit of 1\/((n\/16)\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + n - 1424. Does 45 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13048236, -13048239, -13048244, -13048251, -13048260?\n\"Answer: -d**2 - 13048235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-123 + 2*a + 51 - 58) + 2*a - 3 + 3.\nAnswer: 4*a - 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*k + 5*k + 2, 4 = 2*j - 2*k. Suppose -j*s + 16 = -4*q, -3*q - 8 = q. Suppose -3*l = s*l - 65. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 123, 249, 377, 507, 639, 773?\n\"Answer: o**2 + 123*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-486)\/2025*((-20)\/15)\/(-4)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j + 1 + 136*j**2 + 25*j**2 + 168*j**2 + 0*j.\nAnswer: 329*j**2 + 10*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 28 = 5*o, 3*o - l - 18 = -0. Suppose -o*n - 5 = -15. Solve 2*i + n*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 times 3591?\nAnswer: -693063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 216551093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 12732*q - 382867. What is j(-30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 3*i**2 + 2 + i + 2*i**4 - 9 + 5 in the form x*i**4 + z + u*i**2 + t*i + a*i**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*t - 0*t + 866, 512 = 3*i - 2*t. Find the second derivative of -278*q - 24*q**2 + 139*q + i*q wrt q.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1518.1 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 551668 and 182?\nAnswer: 3861676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t - 25. Let a = t + -2. Suppose c + 34 = a*c. Solve -c = 3*d - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, 2\/5, 1\/6, -0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1673 * -3.192\nAnswer: -5340.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3879.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - k - 2, 2*h + 5 - 16 = 3*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 82*m**2 + m. Let s be t(-9). Suppose 0 = -4*b - 5*z + 13251, z = -2*b + 6*z + s. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*g + 21, 3*g + 25 = 2*t - 16. Let y(h) = -h - 9. Let b be y(g). Let i(n) = 3*n**2 + 12*n**b - 5*n**2. Let z(m) = 2*m**2. Calculate z(i(v)).\nAnswer: 200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 14) + 4\/8*(33 - 41)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*u**4 - 1373 + 778 - 364*u + 15*u**4 wrt u.\nAnswer: -8*u**3 - 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1272, -1283, -1296, -1311, -1328, -1347?\n\"Answer: -m**2 - 8*m - 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:06 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396089019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -60)\/(-7 + 8). Suppose 0 = n - u - 26. Let m = 94 + -60. What is the highest common divisor of m and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1275 + -2.1275. What is the third biggest value in 0, -9, m?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**3 - 37383*l**2 - 238043*l?\nAnswer: 18*l - 74766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-175)\/(-15) - (-3)\/9 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 8*q + 4. Let r(n) = -6*n. Let a be r(q). Let k be -31*((-22)\/55 + a\/(-10)). What is the highest common divisor of 31 and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 42465498.\nAnswer: -42465498.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 = 4*y - 4*x, 36*y - 152 = 35*y + 6*x. What is y rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 + f. Let b be n(-1). Let z(j) = -2*j**2 - 8*j + 21. Let i(w) = -w**2 - 4*w + 10. Let v(q) = -5*i(q) + 2*z(q). What is v(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3913 and 9853235?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 2*n - 20. Suppose -u + 16 + 15 = r, 0 = -n*r - 16. Is 27 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 21. Let q(x) = x**2 + 9*x + 6. Let y(m) = m**2 + m - 1. Let t(j) = q(j) - 2*y(j). Let a be t(o). Solve h - 1 = -a*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168025, -336052, -504079?\nAnswer: -672106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14274 and 8784?\nAnswer: 114192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c**3*u**3 + 30*c**2*u**3 - 378*c*u**3 - 2*c wrt c.\nAnswer: -66*c*u**3 + 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*v - 2661, 3*s + 2*v - 396 - 1193 = 0. What are the prime factors of s?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 24*j - 858. What is t(35)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*n - 220, y - n + 2*n = -45. Let o be ((-18)\/5)\/(4\/y*2). Suppose -3*d - h = -0*d - 17, 4*d - h = o. Do 3 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*f = -1568, -4*r - 6*f = -2*f - 3112. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4447108, 8894218, 13341328, 17788438?\nAnswer: 22235548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 234349 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*-1 - (-14)\/2. Suppose -3*s + 3 = -5*s + w*k, s - 4*k = -6. Let d(a) = 2*a - 36 + 53 - 11 - 14. Give d(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 2\/759 (c) 1\/3 (d) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - g**2 + 0*g**2. Let y(c) = -2*c**2 + 3*c**2 + 0*c**2. Give k(y(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 12818.\nAnswer: 6\/6409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1428801 by -1.\nAnswer: 1428801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 15*g + 34. Let y be b(-12). Let r be (-3 + (y - 4) + 4)*-4. Let c(v) = -v**2 + 8*v - 5. Let s be c(7). Solve -6*f - r = -s*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-126)\/12 + 7). Let b(v) = 2*v**2 + 7*v - 7. Let g be b(z). What is the highest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from ryyyyryyyyyyryryyyy?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -153859681, -153859674, -153859667?\n\"Answer: 7*r - 153859688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + f**2 + f + 4. Let j be k(0). Let t = -12 - -17. Suppose 2*r**j + 5*r**4 + 2*r**2 - 4*r**4 - t*r**4 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -r - 1. Let q = 5 - r. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19954\/57 + -2093\/6. Find the common denominator of 29\/16 and a.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1205*f = 23550 + 19577 + 2663 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97 - 153 + 54)*(342*y - 667*y + 400*y) as j*y + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -13 + (20\/(-10) - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*v - 9*v + 2695, 4*v - 2*d = 2170. Suppose -6*j - 4*j + v = 0. Let 5 - 49*c**2 + 2*c**3 - j*c**2 - 23 + 89*c**2 + 30*c = 0. What is c?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 105.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*n - 315. What are the prime factors of n\/18*3*6?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011100111010110 (base 2) to base 13.\nAnswer: -51525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9933535661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**4 - 4*k**3 + 14*k**2 + 2*k**4 - k**4 + 10*k + 1 - 16*k**2 to f*k**3 + o*k**2 + r + h*k**4 + u*k and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = k - 7, 2*l - 1 = 8*k - 3*k. Let b(j) = 2 - 4 + l*j + j - 2*j. What is the units digit of b(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15137.\nAnswer: 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29673 is divided by 326.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + 1 + sqrt(405) + -1 + (sqrt(405) - sqrt(405)*1 - sqrt(405))*6 + 4)*-1)**2 + 3.\nAnswer: -29160*sqrt(5) + 367419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1)*w*w)**18)**23*(w*(w*(w\/((w\/((w*w\/w**(1\/4)*w)\/w))\/w))\/w)\/w*w*w*w**(-2\/7)*w)**(-1\/8) assuming w is positive.\nAnswer: w**(370791\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = -4*q, 3*l = 3*q - 18. Sort l, -1, -5 in decreasing order.\nAnswer: -1, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/470 and 62\/15087.\nAnswer: 150870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 3:51 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4778 or -4773?\nAnswer: -4778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6371, -13451, -20531?\n\"Answer: -7080*v + 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5041*t**2 - 10236*t**2 + 16 + 5196*t**2 + 14*t. Give i(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 0.019114.\nAnswer: -4.980886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.5, -0.1, 2, 2890 in ascending order.\nAnswer: -0.1, 2, 3.5, 2890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h + 1. Let a be k(-1). Calculate the least common multiple of 11 and (-3 - -1) + a\/2.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u - 8*u**5 + 5*u + 3*u + (-6*u**2 + u**2 + 2*u**2)*(u**3 - 4*u**3 + u**3).\nAnswer: -2*u**5 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 151.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 44116766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630\/20*(-30)\/(-60)*(-2)\/(-7).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-67)\/(-5) + (-10)\/25. Let m = -6 + w. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30968 and 3136.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6249.3 * -0.1.\nAnswer: -624.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 - p**3 + 2 + 2*p - 4*p + 10844*p**2 - 10846*p**2 as l*p + j + z*p**4 + x*p**2 + y*p**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 6. Suppose -1034 = -2*r + k*c, -3*c - c + 2585 = 5*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 7*w. Suppose w = -0*r - r + 4. What is the remainder when 7 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 251*k + 7233. Calculate r(38).\nAnswer: -861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3529)\/(-31761)*-177*3?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -311567 divided by 311567\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9545 minus -0.73?\nAnswer: -1.2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(275) - sqrt(275))**2 + 3 - (((sqrt(275) - (0 + sqrt(275))) + sqrt(275))**2 + -4 - (sqrt(275) + 2 + 3 + sqrt(275))**2).\nAnswer: 100*sqrt(11) + 1132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 98\/5 + 2\/5. Let k(n) = -23*n. Let p be k(-1). Let b = p - u. Solve b - 7 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -270 (base 10) to base 11.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 7:12 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6307469 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/(-3)*-15*40\/(-50). What is the greatest common factor of 204 and y?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*f**4 - 6\/11*f**2 + 0 + 4\/11*f + 0*f**3.\nAnswer: 2*f*(f - 1)**2*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -1\/5 (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-75)*5*-4*(-50)\/(-40).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 (base 11) in base 8?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8497 rounded to the nearest one hundred?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 273956 - 49860113\/182. Calculate the common denominator of -65\/16 and j.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7841625 is divided by 1169.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(sqrt(500) - (sqrt(500)*-2*-5 - sqrt(500)))\/(sqrt(360) + (-1*sqrt(360) - sqrt(360)) + sqrt(360) - sqrt(360)))*5.\nAnswer: 25 + 100*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 687 + -684. Let f(h) = 2*h - 2. Let l(y) = 3*y - 4. Let w(i) = 5*f(i) - 3*l(i). Let d be w(-4). Put k, 1, d in decreasing order.\nAnswer: k, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266.9879 + -0.0121. Let x = -267.03 - c. Sort x, -4\/3, 5 in descending order.\nAnswer: 5, x, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 7. Let k be z(-8). Let r be (k*31)\/((-2)\/4). Let o = -38 + r. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*b = 3*b - 4*b + 6, -4*b = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4598, 4595, 4592, 4589, 4586, 4583?\nAnswer: 4580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 38 in decreasing order.\nAnswer: 38, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -152477010 divided by 6\nAnswer: -25412835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + -6*6831\/(-4536))\/((-4)\/(-84)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 0. Suppose u*h = 2*h + 22. What is the greatest common factor of 88 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -19 (b) 1 (c) -301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*q**4*z - 2*q**4 - 11*q**3 + 4*q**2*z + 3*q**2 - 6*q wrt q?\nAnswer: 384*q*z - 48*q - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5655258014 to the power of 1\/3, to the nearest integer?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**3 + 2*w**2. Let i(r) = -8*r**3 + 3*r**2 + 2*r. Let z(l) = -3*a(l) + 2*i(l). Let u(j) = -5*j**3 - 5*j + 1. Determine -4*u(t) - 5*z(t).\nAnswer: -5*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 14. Suppose 0 = -0*m + t*m - 114. Let s = -18 + m. Solve -2*u = 4*p - s, 4*p = -3*u - 0*u + 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321195*t + 321362*t = -2505 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 - 66\/(-15). Let l = -25 + 56. Suppose a*v + 7 = l. What is the greatest common divisor of v and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 452552864 by -142.\nAnswer: -3186992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 4*n**2 + 2*n + 30. Determine r(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1458597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(70) - (sqrt(70) - sqrt(70)*1*-6) - sqrt(70) - sqrt(70))\/(sqrt(1000) + sqrt(1000)*-1 - sqrt(1000)).\nAnswer: -2 + 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - (-2 - -1)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784116927 to the power of 1\/3, to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 22*z**2 - 23*z + 3. Calculate the remainder when 401 is divided by w(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3 - 50640*m**2 + 320703066*m - 1922395788 = 0. Calculate m.\nAnswer: 6, 12657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o - 4*o + 0*o + o**2 in the form x*o + u*o**2 + y and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(32\/(-312)*(-159)\/(-212))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 + 74. Let c = 624 - r. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:10 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f - 34 = -154. Calculate the lowest common multiple of f and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 16*g + 1. Determine b(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 13*x**2 - 101*x - 2. Determine v(6).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 139671284 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 40 = 5*y, k + 33 = 2*y - 4*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58\/7, 0.4, 3, 4 in ascending order.\nAnswer: -58\/7, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**14\/(p\/(p\/(p\/(p\/(p**(-2)*p))*p*p)*p)))\/(p**3\/(p*p\/(p**(-2\/7)\/p*p)*p)) assuming p is positive.\nAnswer: p**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1430 and 1760.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m)**(-7\/2)\/(m*m**(-1\/2)*m**8*m) assuming m is positive.\nAnswer: m**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(33\/6))\/((-1)\/(-1))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0. Let f = -205.15 + 201. Let m = 0.15 + f. Sort z, 1\/11, m in descending order.\nAnswer: 1\/11, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 h, and 1 m when three letters picked without replacement from {c: 1, p: 2, o: 1, m: 7, h: 8}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9816 + 441751\/45. Let r = -1\/45 + k. Let o = 0.3 + -0.4. Is r <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -3*z - 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -373\/12, -0.2, -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 19*o. Calculate z(5).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:17 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 + 2*g + 4. Let p(u) = 12*u**2 + 2*u + 7. Let s(j) = 7*h(j) - 3*p(j). Determine s(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 773, 11, 3 in descending order.\nAnswer: 773, 11, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6)*(-4 - -7). Suppose 6 = 2*o - g. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.1 + 27.1. Which is smaller: h or 3427?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 19915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c - 2540 = 83*c + 710 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1280\/(-13110)*(-21)\/(-2). Let f = -26\/23 - n. What is the nearest to 1\/4 in 0.4, f, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 110146230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1573)*-2*-4.\nAnswer: -2 + 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-60))\/((-12)\/(-10)). Let i = -27 - -48. Let d = 26 - i. Put d, g, -4 in descending order.\nAnswer: d, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(((w**0\/w)\/w)\/w)*w)\/w)**(5\/3)*w\/(w*w**(1\/5)\/w*w*w*w)*(w**3\/w)\/w*w)**(-42) assuming w is positive.\nAnswer: w**(-1358\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 + (67\/(-3))\/(11\/495*150).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4387702 or 45?\nAnswer: -4387702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 534*h**2 - 2*h + 589.\nAnswer: 1068*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxrv when four letters picked without replacement from vgrgxvxvvxx.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 470, 1877, 4216, 7481, 11666, 16765, 22772, 29681?\n\"Answer: -g**3 + 472*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let i(v) = 1617216*v. Determine m(i(u)).\nAnswer: 1617216*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.4*-15661241.\nAnswer: -68909460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1094 is divided by 767?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1.17, -3 in ascending order.\nAnswer: -13, -3, -1.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 102\/170 + ((-142)\/70 - -1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuiy when four letters picked without replacement from {d: 1, u: 1, y: 2, o: 1, v: 2, i: 2}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36375 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3267 (base 8) to base 14.\nAnswer: 8ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 - 809*x**2 - 671*x - 35774. Determine i(-269).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*t = 43*t - 136*t + 1593420. What is the ten thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -125*h**2 - 85*h + 85. Let t(j) = 3*j**2 + 2*j - 2. Suppose -c - 2*a = -253, 3*c - 769 = -9*a + 13*a. Calculate c*t(q) + 6*p(q).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5882 + 6020. What is the highest common factor of 460 and w?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 x when four letters picked without replacement from eepexhhhhpexhhx.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1002402531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 73395487, 73395485, 73395483, 73395481, 73395479, 73395477?\n\"Answer: -2*a + 73395489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 9*d - 3. Let u = -3987 + 3976. Calculate m(u).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96 - 2)\/((-27)\/(297\/22)))\/1?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 224.\nAnswer: -9\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19125 + 7345. What is p rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 1. Let a be (54 + 1)\/(-11) - (-12 - 1). Determine u(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179 (base 12) to base 9.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + m - 4 + 2 - 3*m**3 + 2*m**3. Let x be b(0). Is 16 a factor of 17 + (-2)\/x + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-176500)\/12)\/((-23)\/(-18768)). What is g rounded to the nearest one hundred thousand?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*i**2 - 175126*i + 280176.\nAnswer: 2*(i - 17511)*(5*i - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -3 + 8)*-1. Let n be (f\/5)\/((-2)\/10). Solve -5*h + 26 - n = 4*o, -9 = 2*o - h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3 - 7, -5 = -k + 5*p. Suppose -25 = -5*r - 0*r. Suppose -4*g + f + 2 = -2*g, f + 2 = r*g. Solve -k = -5*b - g*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k*m*q**2 + 16*k*m*q*x - 2*k*m*x + 2*k*m - 567*k*q**2 - 51*k*q - 8*m*q**2 - 3*m - q**2*x wrt q?\nAnswer: -2*k*m - 1134*k - 16*m - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and (0 - -1)*(13 + -8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-60)\/(-88))*4\/(-24)*-3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b**2*u**2 - 2*b**2*u + b**2 - b + 31*u**2 + 447 wrt u.\nAnswer: -12*b**2*u - 2*b**2 + 62*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 5729973976 + 5729973976.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -26116*j + 156550. Determine f(6).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8612 plus 0.47602052?\nAnswer: 8612.47602052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(2 + (-23)\/11). Suppose -4*d - q = -35. Suppose 0 + d = 2*b. Solve 0*w + 4 = -w, b*f - 7 = w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -26385*v + 527708. What is y(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*-2*(-4)\/(-8)*-1. Sort 29, f, 3 in ascending order.\nAnswer: f, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + 8 - (140 - (-8)\/4). What is the remainder when g\/(53\/(-25) + 2) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(2736)*-2)**2 + -1*(sqrt(209) + -2*sqrt(209))\/sqrt(11))*-3.\nAnswer: 9*sqrt(19) + 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -758?\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2801\/9 + 2425\/8. Let l = o - -47\/72. Let x = -5662 + 96201\/17. Calculate the common denominator of x and l.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2048, 3268, 4522, 5810?\n\"Answer: 17*c**2 + 1169*c + 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 65 = 77. Suppose -b + 34 = 2*b + 2*w, -s*b + w = -27. Solve 3*q + 10 = b*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-980)\/112)\/(5\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33381533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190.69 + -94.71. Let m = -96 + t. Which is the fourth smallest value? (a) m (b) -3 (c) -2\/7 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**6\/120 - 7*n**5\/5 + n**4\/4 - 28*n**3\/3 + 375*n**2. What is the second derivative of m(v) wrt v?\nAnswer: -6*v - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g - 48. Determine q(14).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 2*p - 5*p - p + p - p + 48*p + 32*p + 8*p + (-5*p + p + 2*p)*(-1 + 1 - 1) + 0*p + 2*p + 0*p.\nAnswer: 90*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**2 + 19 - 1\/210*c**5 + 0*c - 25\/21*c**3 + 5\/42*c**4. Let l(h) = 0. Calculate h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 12*k**2 + 18*k - 19. What is the remainder when d(11) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - r**2 - 2*r**2 + (1 + 11 + 7)*(2*r - 2*r + r)*(0*r - 2*r + r) + 0*r**2 + 5*r**2 - r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.534 + 0.001. Let z = j + 0.542975. Let d = -0.01 + z. Round d to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 12*g + 28. Give n(-10).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.08 and 0.19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -500, -2172, -5748, -11942, -21468, -35040, -53372?\nAnswer: -77178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 + 35*p**2 - 129*p - 70. Let u(v) = 9*v**3 + 69*v**2 - 262*v - 138. Let x(f) = -11*n(f) + 5*u(f). Determine x(37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(1\/4))\/z*z)*z*z)\/(z*z*z**(-2\/11))*(z**(-1\/4))**(-24) assuming z is positive.\nAnswer: z**(283\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114119\/43060 - 1\/4306. Find the common denominator of (-33)\/((-2)\/6 + 1) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*l - 332*l - 42 = 0. Suppose -3*o + 25 - 60 = -4*k, 3*k + 3*o - l = 0. Let g(d) = 2*d - 4. Let m(n) = -1. Determine k*m(r) - g(r).\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 52*m - 30 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*x**2 - 187*x + 187*x.\nAnswer: 418*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/9))**(-4\/7)\/(((v*v*v\/(v*v*v\/(v\/v**(-1\/2))))\/v)\/((v*v**(5\/4))\/v)))**26 assuming v is positive.\nAnswer: v**(2041\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87580636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*a - 1. Let l = a - -2. Suppose -3*h + 18 = 6, 3*h - 12 = -z. Is l < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 11) to base 4\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 215 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**3 + 7*u**2 + 7. Let j(v) = 4*v**3 + 6*v**2 + 6. Suppose 2*g - y - 13 = 0, y = 3*y - 2. Determine g*j(w) - 6*t(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 7:41 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0*y + y**2 - 43\/60*y**5 + 0*y**3 - 48 + 1\/12*y**4. What is the second derivative of s(q) wrt q?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 798 and 10206.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -644 divided by -14.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, 496, 1355, 2544, 4063, 5912?\nAnswer: 8091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (5 - (-11 - -3 - -43))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61 plus -23.693?\nAnswer: -24.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 764, 753, 728, 683, 612, 509, 368, 183?\n\"Answer: -s**3 - s**2 - s + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*n - 77*n - 142*n.\nAnswer: -102*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2710*c + 59730. What is i(-22)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931552 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 10*j**2 - 201*j + 26. Determine l(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 u, and 1 j when three letters picked without replacement from nnjujuumnunnjjujn?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 + 149 - 287 + 426*k**3 - 410*k**3.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 348 + -242. Let c = y + -1. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 483513258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 11*o**2 - 68*o + 1982. Let p(k) = -5*k**2 + 29*k - 990. Calculate -3*b(i) - 7*p(i).\nAnswer: 2*i**2 + i + 984","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*p - 8, 9*p - 10*p - z - 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 571 (base 8) to base 16\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s**2*w**2 - 44*s**2 + 1104*s*w**2 - 3*s - 2*w + 4 wrt w.\nAnswer: 16*s**2 + 2208*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1741422553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7275.961 rounded to the nearest ten?\nAnswer: -7280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1669 - -1677. Let y be x - (3 - (15\/3 + -5)). Suppose 2*u + 4 = -3*p - 0, 0 = -2*u - 2*p - 2. Solve y*v + 4 = -u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 1*4\/4. Is 3\/i*0 + 185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -9) + (6 - (10 - (3 + -11)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-33)*15796\/729488?\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -24511*l - 1666754. What is g(-68)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + (sqrt(108)\/sqrt(9))**2 - ((sqrt(3) - sqrt(15)\/sqrt(5)) + -3 + -3))*-3.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101544 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*m - m. Let u = m - -11. Suppose -3*c - 4*a = 1, 0*a - a - u = -2*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x + x + 6*x - x - 6 + 6 - 5*x + 2*x + 2*x + 0 + x + 0 + (-1 + 1 - 2)*(3*x - 3*x - x) - x + 0*x + 4*x to the form i + u*x and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5284667*q**5 + 20*q**2 + 173021*q wrt q.\nAnswer: 317080020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, c: 1, f: 13, m: 1}. Give prob of picking 1 f, 1 m, and 1 c.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1371*v*w**4 - 28335*v*w**2 - 18*w**4 + 2*w**2 + 3 wrt w.\nAnswer: 32904*v*w - 432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -228 + 7?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -104684925 divided by 48131?\nAnswer: -2175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - p. Let y(c) = -12*c**2 - 108*c + 208. Let q(m) = -4*o(m) - y(m). Factor q(d).\nAnswer: -4*(d - 26)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -1\/60*o**5 + 0*o + 0*o**4 + 2*o**2 - 1\/3*o**3 + 0. Find the first derivative of f(w) wrt w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 12*l**2 + 1. Let o be x(-12). Let r(h) = -9*h + 1. Give r(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m - 3*g - 1, -m + 9 = -2*g. Suppose -w = 4*d - 532 - 25, m*d - 25 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f**2 + 21*f + 21. Let c(g) = 3*g**2 + 5*g + 5. Let a(u) = 9*c(u) - 2*i(u). Let p(r) = -r**2 - 4*r - 4. Determine 4*a(z) + 3*p(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 347\/3. Let h = -2.99 - 0.01. What is the second biggest value in 4, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*w**2 - 57*w**2 - 5 + 30*w**2 + 60*w - 197*w**4 + 5 wrt w?\nAnswer: -4728*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0038964 to four decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7479, -7472, -7461, -7446, -7427?\nAnswer: -7404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1201\/23 - -77858\/1495. Calculate the common denominator of v and 93\/2912.\nAnswer: 14560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**2\/2 - 8*s - 33. Determine l(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-3) - -3)\/((-16)\/(-24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 156*c + 129*c + 59*c)*(-2*c - 3*c + 3*c)*(-15 + 22 - 15) to o*c**2 + a + w*c and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 540 and 3240?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154 - 51. What is the remainder when o is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207604 divided by -142\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6*n + 1326 = -4*n, -2644 = -4*q - 2*n. Suppose q = 6*u + 47. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 8) to base 2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 23952645?\nAnswer: -23952645.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 385290?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.029 and -7.21?\nAnswer: -0.20909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2. Let y(g) = g**2 + 15*g + 26. Let k be y(-13). Let a(t) be the second derivative of k*t**3 + 0 - 6*t + 0*t**2 - 5\/12*t**4. Give a(q(j)).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3814135249.\nAnswer: 17, 41, 641, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*k**3 - k**2 - 32*k**3 + k**2.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35760952*s**2 + 186617462*s wrt s?\nAnswer: 71521904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7788 and 3068?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 0*v + v)*(2 - 4 - 2)*(17*v**3 + 15*v**2 - 15*v**2) to the form y*v**3 + o*v + d*v**4 + t*v**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + k. Let c be t(1). Let a(j) = -j - 4 + 0*j + c - 2*j. Let i(h) = h + 1. Let p(b) = -4*a(b) - 18*i(b). What is the derivative of p(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 1, h: 7, g: 1, r: 5}. Give prob of picking 2 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107649 is divided by 204?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, w: 2, v: 3, e: 3, y: 6, z: 1}. Give prob of sequence yeh.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/1*(0 + 2). Suppose -i*u + 32 = -0*u. What is the highest common factor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 57.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-14))\/(6\/(-21))*2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -39 (b) 0.1 (c) 4 (d) 1\/4 (e) 2\/15 (f) -1\/1489 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/2)\/9*5\/5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 0)*(20 - 20 - 12*q) + 3*q + 3*q - 4*q + (q - 3*q + 3*q)*(-2 + 3 - 2) + 4*q + 3*q - 5*q - 2*q - 3*q + 3*q)*(5*q**3 - 9*q**3 - 5*q**3).\nAnswer: 207*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91, -34, 23?\n\"Answer: 57*g - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 17563, 10, 3 in decreasing order.\nAnswer: 17563, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5836565 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 145760471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 + -0.25. Is 1.1 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 377020.\nAnswer: 754040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s - 17*s - 6*s - s as k + o*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 j when three letters picked without replacement from {j: 3, b: 3, w: 3, v: 4}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/160 and 93\/73088.\nAnswer: 365440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 6 = 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g + 3. Let m(x) = -x - 11. Let v be m(-5). Does 17 divide (g\/(-3))\/(v\/(-459))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(0 - 1 + 3 + (7 - 3 - 2)*(1 + 2 + 0))*(-4*p + 27*p**2 + 56 - 56).\nAnswer: 216*p**2 - 32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5637302 (base 10) to base 15\nAnswer: 7654a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102916 is divided by 17145.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 18*o**2 - o + 10. Is 13 a factor of b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8381 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**2\/2 - 15*l - 38. Let r(h) = -13. Let m(x) = -6*r(x) + 5*u(x). Calculate the remainder when 64 is divided by m(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 153?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -35. What is the smallest common multiple of (2\/(-4))\/(1\/(-22)) and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.401 times -2.6?\nAnswer: -3.6426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 40967232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {n: 2, g: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 33 - 9. Let i be ((w - -11) + 1)\/2. Let b be (-6)\/i*(-4)\/(-3). Put b, -1\/2, -3 in decreasing order.\nAnswer: -1\/2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -826*f - 14677*f - 10947*f - 4.\nAnswer: -26450*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1445 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*i = -61775 + 61027 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -14, -1.6, -8117.3 in ascending order.\nAnswer: -8117.3, -14, -1.6, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (-50 - 0) + -29.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -664711, -2658738, -5982103, -10634800, -16616823, -23928166?\n\"Answer: q**3 - 664675*q**2 - 9*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14197862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from grg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o. Let w(n) = -433*n + 1. Calculate z(w(y)).\nAnswer: 433*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 8*i - 3. Calculate the remainder when 36 is divided by v(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**2)**38)**37 assuming h is positive.\nAnswer: h**5624","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:28 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-3 - -6) - (7 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40482 + 40907 = 17*k for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20835 and 62505.\nAnswer: 62505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -256*n + 18*n**2 - 216*n + 80*n + 241*n**2 wrt n.\nAnswer: 518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjhh. Give prob of sequence jh.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/5)\/((-16)\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by -2*1 + 46 + 9?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2.1, -1, -1.3, 0?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 + -107. Solve 8*c - 3*c - d = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, r: 2, b: 2, g: 3}. Give prob of picking 1 r and 2 g.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*h - 2. Let a be (-7)\/2*(-36)\/63. What is the first derivative of -4*s**3 + s**3 - h + a*s**3 wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68784 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*k = 5*b - 16, 0 = -4*b + 3*k - 1. What is the tens digit of 2*3\/b + 75\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 26. Let x(w) = -1. Let v(a) = m(a) - x(a). Let o be v(-11). Let l be (o\/(-2))\/(15\/80). Calculate the highest common factor of l and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -142116, -142114, -142110, -142104, -142096, -142086, -142074?\n\"Answer: v**2 - v - 142116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 243538*x. Let j(y) = -30*y. Determine l(j(t)).\nAnswer: -7306140*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 637 + -635. Let x be 204\/84 - s - (-3)\/91. Factor 42\/13*i - 18\/13 - 12\/13*i**3 + 2\/13*i**5 - 20\/13*i**2 + x*i**4.\nAnswer: 2*(i - 1)**3*(i + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4905 + 4874 - (0 - -42).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/4 + l**3 + 2*l. What is the second derivative of x(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2, 0, 47, -0.8, 4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**2 - 7*s - 7. Let t(x) = -x**2 - 2*x - 2. Suppose 22 = 3*h + 2*c, c - 3*c = -3*h + 14. Let d be 82\/(-6) + h\/(-18). Determine d*t(f) + 4*o(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12384 or 12467?\nAnswer: 12384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 27 = 3*b, -10*b + 156073 = -5*z + 156138 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**7\/5040 - z**6\/360 - z**5\/15 + 10*z**2. Let f(h) be the third derivative of x(h). What is f(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1964, -0.1, 0.3, 1\/11 in decreasing order.\nAnswer: 1964, 0.3, 1\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1186a83 (base 11) to base 2\nAnswer: 111110110101100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*s - 666 = 34*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*l + 12, 0 = -5*l + 2*l - 3*w + 18. Suppose -h - 3 = l*h. Which is the closest to h? (a) 1\/7 (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k**2 + 977250. Let i(q) = q. Calculate m(i(v)).\nAnswer: -6*v**2 + 977250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1595*v - 2506. Does 36 divide l(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -407*k*t**6 - 1842*k*t**5 + 10212*k*t**2 + k - t**2 wrt t?\nAnswer: -48840*k*t**3 - 110520*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -28, 11, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10024 smaller than -10038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3671309000 to the nearest 1000000.\nAnswer: -3671000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2. Let r be 4\/(-8) - (-5)\/(-2). Let x(j) = -7*j**2. Let l(u) = 4*u**2. Let z(h) = r*x(h) - 7*l(h). Calculate m(z(c)).\nAnswer: -147*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1990 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/22 + (-8)\/44 - 3. Let y be (-310 + 12 + -14)\/(m\/500). Round y to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-6))\/(-1)*-2. Suppose -t = n, 2*l + 6*t - 31 = 3*t. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42704\/(-58718) - 267\/11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-24))\/((-33)\/44)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 141?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 34 + 257 = 0. Let v(r) = 7*r + 96 - z - r**2 - 8*r. What is v(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -442530709 - -237314911. Let r = k + 205215758.99999885. Let b = r - -39. Round b to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26598639 and 1677.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*n + 156 = -124. What is the nearest to -5 in 1\/10, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {d: 2, w: 7, e: 1}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 7. Suppose -3 + 27 = -4*u. Let m = f - u. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**4\/4 - k**3\/3 + 1. Let r be 24\/11 - 16\/88. What are the prime factors of t(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhrxxrvlsvxhsvxhv. Give prob of picking 1 x, 1 l, and 2 r.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50154534 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 533827655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s. Let d(a) = -84422576*a. Determine d(r(l)).\nAnswer: -168845152*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*g + 3 + 11 = 0, -2*r = 5*g - 33. Suppose q - r*f - 354 = 1219, -f + 7949 = 5*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -62*y + 730. Let w be f(11). Let d = -10 + 22. Calculate the greatest common divisor of d and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 1. Suppose 0 = -h + 3*w - 24, -3*h - 124 = -5*w - 44. Calculate the remainder when 5 - (2 + h\/6 - -5) is divided by z(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-4\/7))\/p)\/p*p)\/(p**2\/p)*p*p**(2\/5)*p*p**3*p*p*p*p assuming p is positive.\nAnswer: p**(349\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 6*w - 4*w. Is -2\/2145 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 181836 and 11724.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -0.2, 2\/7, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + -3 + -2 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 108\/(-21)*((-133)\/(-14))\/(-19). What is the smallest value in -2\/3, y, -0.04?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-2*w + 9*w + 4*w) + 6*w - 2*w + 0*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -735417.58589493 and -0.4.\nAnswer: -735417.98589493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/20)*n*n*n*n\/(n\/(n\/n**(-13))))\/(n*n**(4\/3))**(-3\/7))**(-30) assuming n is positive.\nAnswer: n**(-1083\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0 - 4 + 1804*v**2 - 1022*v**2 + 4. Let b(c) = -c. Determine b(w(j)).\nAnswer: -782*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 12, -2*m - 5 = -3*q - 4. Suppose -10 = -5*o, -j + 5*j + q*o = 30. Calculate the highest common factor of 54 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(198))\/sqrt(6))\/(sqrt(275) - sqrt(275)*-2) + -4.\nAnswer: -4 + sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 7. Let a(p) = -p**2 + p + 1. Determine -2*a(z) - y(z).\nAnswer: 2*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56016614 is divided by 7097?\nAnswer: 7090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 25*s + 20 = 0. Solve -2*h + 0*h = 5*n + 10, h = s*n + 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -33 (c) -16851\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147 - -252. List the prime factors of u.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*b + 71, 3*a - 23 - 16 = -b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (22 - (4 - -9)) + -13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*i + 2)*(i**3 - 5*i**3 + 3*i**3) - i**4 - 4 + 4 - 7*i**4 + i**4 - 8*i**4.\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4251617, -4251817, -4252017?\nAnswer: -4252217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/((-144144)\/(-216))*8\/(-30).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -4)*843\/12*1. Suppose -4484 = -4*x + 2*y, 5*x - 2150 = -3*y + 3466. Let s = u + x. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 180*j**4 + 3*j**3 - 2*j - 7 - 277*j**4 + 95*j**4 - 9*j**2 to the form q*j**3 + m*j**2 + k + r*j**4 + i*j and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -34 (b) 5 (c) -0.3 (d) -2\/13 (e) -120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -467269*d + 3270878. Determine p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/8 - 9288109*f**2\/8 - 18576221*f\/8 - 9288111\/8 = 0. Calculate f.\nAnswer: -1, 9288111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)\/t**2)\/(t**3)**35 assuming t is positive.\nAnswer: t**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1619*n**3 + 6*n**2 + 12*n + 12. Let s(u) = -7398831*u**3 + 27421*u**2 + 54842*u + 54842. What is 27421*j(w) - 6*s(w)?\nAnswer: -1613*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 9*f**2 + 7*f + 11. Let g be s(8). Is -2 + 15\/g + 184 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 44783?\nAnswer: -44785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 890, 2243, 3596?\nAnswer: 4949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -370381363, -370381361, -370381359, -370381357, -370381355?\n\"Answer: 2*o - 370381365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let k(r) = 32*r. Determine -k(v) - 24*t(v).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5085433920 a multiple of 14059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124112080 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -126 and -121 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -236\/38987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*n**2 + 234 + 44*n**2 + 294*n**3 + 189*n**3 + 400*n**3 + 8*n wrt n.\nAnswer: 5298*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038950499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110045?\nAnswer: 5, 13, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 856.5756908 to the nearest integer.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*k - 2510*k - 154926 = 3453*k for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3210.16795 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15018642 or 15018635?\nAnswer: 15018642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1993 - 4.1993. What is the closest to x in -0.5, 1, 0.04, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -11*i + 4*i. Suppose -i*d = -15*d + 9. Suppose 0 = 3*g - d*p - 11 + 62, 4*g = -2*p - 98. Put g, 0, -1, -4 in decreasing order.\nAnswer: 0, -1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -215 - -13948?\nAnswer: 13733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*24\/104*-13. Solve -f = -2*o - 5*f + l, -2*f + 5 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4 + 7*f**3 - 15*f**2 + 9*f = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*u = -268*u + 24786. Is 1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8095357.\nAnswer: 8095357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 410*r - 17 = 409*r + 8, -3*a - r + 13 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 4 (b) 1\/2 (c) 0.05 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 278 and 417?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/37 - 43\/74. Let i = 2.95 - -0.05. Let u be 6\/(-14)*2\/3. What is the closest to u in i, -3\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2320436318 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 57*a**5 + 15*a + 153. Differentiate m(p) with respect to p.\nAnswer: 1140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6) + 0)*-79. Let t = j - -26. Let w be 2\/(-15)*-5*1. Sort t, -2, w.\nAnswer: -2, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 141 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:32 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 7*j**2 - 24*j + 180.\nAnswer: (j - 6)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*a + 18. Suppose 15 = 5*p + h - a, p = 2*h + 2. Calculate the remainder when 9 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 12*h**2 + 2*h + 3. Calculate the remainder when 88 is divided by i(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1182*x + 1. Let t be w(1). Let m(s) = -s**3 - 46*s**2 - 493*s - 78. Let i be m(-33). Let z = i + t. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 63. What is the second derivative of 14 - 22 + 12*b**p + 56*b + 2*b**3 + 7 wrt b?\nAnswer: 12*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v + 12. Let h be 3\/(-4) - (-186)\/24. Let b be j(h). Suppose 419 - b = 4*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 293 + -209. Solve 0 = -20*i + 6*i + k for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -262 and 9335283953?\nAnswer: 9335284215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 51\/15 - (-2)\/(-5). Let t = 3 - y. Suppose -4*j + 2*j + 20 = t. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7639143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and 75.\nAnswer: -112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*y**6 + 369*y**3 - 452111*y**2 + 3 wrt y?\nAnswer: 6000*y**3 + 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76426366?\nAnswer: 2, 479, 79777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.64286 - -0.64286. Let c = 2.9 - 3. What is the fourth biggest value in c, 30, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1 - v**2 + 2 + 1 - 3*v + 9*v**2. What is the remainder when 13 is divided by d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270\/(-36) + (-2)\/(-4) + (-24)\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 19*u**3 + 7*u**2 - u - 6. Let m be l(1). Which is the closest to -1\/2? (a) 9 (b) 3\/5 (c) -3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 4*a + 12. What is o(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(19) - 3*sqrt(475) - (sqrt(19) - sqrt(76)\/sqrt(4)*3)) + ((sqrt(19)*-1)**2*4 - (sqrt(190) - (sqrt(190) + sqrt(190)*-2))\/sqrt(10)))*-2.\nAnswer: -148 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3710, 30683, 103902, 246491, 481574?\nAnswer: 832275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -69 + 3a8?\nAnswer: 33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 14. Determine j(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)*1 - (sqrt(8) + sqrt(72)*3))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z - 15 = 0, 3*a + 4*z = 24. Suppose a*f - 20 = 40. What is the remainder when 43 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/140 and -97\/2.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 + -18a?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8943250012?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/10*(-8)\/20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2\/9 - 148*u\/9 + 230\/3 = 0.\nAnswer: 5, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 135*c = 20264 + 88960. Calculate the greatest common factor of c and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h*((h\/(h*h**(-2\/5)))\/h*h)\/h)))**(-12) assuming h is positive.\nAnswer: h**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = 2*a, a = -a - q + 8. Suppose -36 = a*v - 6*v. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 12) to base 11.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494022?\nAnswer: 2, 3, 137, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -17*d**3\/3 - 7*d**2\/2 - 4*d + 58. Calculate k(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 373583 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/143854 and -59\/408.\nAnswer: 1726248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1909508 divided by 112324.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(-6*(sqrt(54) + sqrt(6))) + sqrt(252) + (1*sqrt(35))\/sqrt(5))**2.\nAnswer: 195223\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -316591*d - 240776 wrt d.\nAnswer: -316591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -8 + -87 + 67\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332a4 (base 13) to base 11.\nAnswer: 63755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, u: 2, j: 1, k: 1, s: 1}. What is prob of sequence szu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -84.4, 5, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - (18 + (6 - 10) + -2 + -1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1305 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87061.97 millennia to years.\nAnswer: 87061970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 277677567 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/19, -0.3, -20219, -4, 2\/3, 1\/2?\nAnswer: -20219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 13 = 3*h, 2 = 3*m - 4*h - 7. What is the lowest common multiple of 14 and 2*m - (-39 - -3)?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 47*h**2 + 3*h - 64*h**2 in the form g*h**2 + u*h + k and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {p: 2, h: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -17*k + 258. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 2100*s**2 + 4*s + 2104*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + 21.5. Let n = 38.47 - s. Which is the biggest value? (a) -1 (b) 8 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -91 and -90 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (-1 + sqrt(539)))*6*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1\/8 (b) 2 (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3)*(-13 + 25 - 49)*(-o + 4*o - 2 + o).\nAnswer: 740*o - 370","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + 14. Let w = g + -77. Solve 0*t + 3*t + w = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -126, -187, -274, -387, -526?\n\"Answer: -13*y**2 - 22*y - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Round 2167577.4 to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(405) + (2 + sqrt(405)*-3 - sqrt(405)) + sqrt(405) + -2*sqrt(405) + -4)*2 + -4)*1.\nAnswer: -72*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107\/40 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39574968 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/22081 and 11\/111470.\nAnswer: 34667170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, -49, -96, -151, -208?\n\"Answer: g**3 - 13*g**2 - g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3858744?\nAnswer: 2, 3, 160781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -17*u**3\/6 + 16*u. Let v(l) = -2*l. What is r(v(h))?\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 9. Let l(a) = 8*a - 25. Is l(j) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 5*r**7\/14 + r**4\/12 + 17*r. What is the third derivative of n(b) wrt b?\nAnswer: 900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 - 13560*x**2\/7 + 17396*x\/7 - 552 = 0. Calculate x.\nAnswer: 2\/7, 1, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6600*-156\nAnswer: 1029600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3062 and -297?\nAnswer: 909414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 16*g = -48, 13*y + 6 = 9*y - 2*g. Which is the nearest to 1\/5? (a) -2\/11 (b) y (c) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 - ((-132)\/30 + 0). Differentiate -1 + 1 + 1 - 26*g**m + 37*g**4 wrt g.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 + 41 - 30) + 65 - (100 - 0)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 + 6 = 0. Let r = 11 + l. Suppose r*a - 3005 + 667 = -2*s, -602 = -a + 3*s. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12776117687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/(-9)*3)\/((-2)\/6). What is the highest common divisor of 28 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + 505f7?\nAnswer: 50602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.03888 and -3624 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + b - 6 = 0, 15*h - 12*h + 6 = -3*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 3*d - 3*d)*(-1 - 2 + 4) to the form f*d + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 3 - 2)*(-5 + 4*i + 5)*(4 - 1 - 2)*(-2 - 1 - 2).\nAnswer: -200*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 37*-3*5\/15. Let i = z - -45. Solve -d + 3*d + 5*a = -7, 4*a = -d - i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 286472090.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 0.272?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*x + 39, 3*p - 23 = -0*p + 2*x. Suppose 2*d = 5*v - p, v - 1 = 2*d - 6. Suppose h - v*f - 24 = -0*f, h + f = 12. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 + 1408*b + 247808 = 0 for b.\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/389470 and -61\/2142085?\nAnswer: 4284170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -910528 - -256791\nAnswer: -653737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)*-2)\/(sqrt(3) + (sqrt(45)\/sqrt(3))\/sqrt(5)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 345666 to the power of 1\/2, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11967967?\nAnswer: 11, 19, 173, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.5 + -112. Let l = 126 + y. What is the nearest to 2\/17 in -0.1, 2\/9, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(121) + sqrt(121)) - 1*sqrt(121)*-1)\/((2*sqrt(99)*3)\/(sqrt(27)\/sqrt(3)*-3))*-3.\nAnswer: -21*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4 - 11. Let p(q) = 3*q - 11. Let y be p(5). Solve -y = -d - h*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48935974?\nAnswer: 2, 24467987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l, -u - l + 2 = -0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1760*g**3 + 3586*g**2 wrt g?\nAnswer: -10560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o**4 - 2*o + (o + 3 - 3)*(-21 - 5*o**3 + 21) + (0*o**2 - 2*o**2 - o**2)*(-4 + 4 + 2*o**2).\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + 1 - (29 - 481)?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 82\/4 - (-1)\/(-2). Solve h = 3*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24248085 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.69 + -0.19. Which is the fourth smallest value? (a) 68 (b) -1\/3 (c) u (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*f*f**(-1\/9))\/(((f*f\/(f*f*f\/((f**(-1)*f)\/f)))\/f)\/f)**(7\/3)*(f**(-7)*f**7)**(39\/5) assuming f is positive.\nAnswer: f**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**3\/3 - p**2\/2 - 2*p. Let j be d(2). Let f be 2\/20*-6*j. Is 2 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 14\/4 + 0.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*t - 168*t = -w + 16, 16 = -5*w + 4*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.24226m to centimeters.\nAnswer: 6024.226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 4662 - 2982 = 74*v for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4.3678899us?\nAnswer: 0.00000000005055428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40.964072 and 456118?\nAnswer: 456158.964072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1120046?\nAnswer: 2, 560023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/96 - 7*u**3\/8 - u - 820. Factor d(o).\nAnswer: o*(o - 42)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321 + 321. Solve o = 3*x + 5*v - 4*v + 5, 4*x - 3*v - 15 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(1331)*-3 + -2 + 0 + (sqrt(1331) - (1 + 0 + sqrt(1331))) + sqrt(1331) + 2.\nAnswer: -55*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 11*m - 52. Let l(q) = -1. Let p(x) = i(x) - l(x). Suppose -1849 = -3*w - 1771. Is p(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47730*g**3*m**2 + 25*g**3*m + 5*g**2 - 22*g*m**2 + 3*g*m - 118*g - m wrt m.\nAnswer: 95460*g**3 - 44*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + -17 + 38 + -13 + -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 16111*z**2 + z - 2. Let t be -2 + (20\/1 - 4). Let m(h) = -h + 20. Let p be m(t). Let q be d(p). Round q to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 3677446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 68*o + 1. Let b be (-2 + 5)*(-10)\/(-6). Is k(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.730497ml in litres?\nAnswer: 0.007730497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 32 = -8*l. Let v be 136\/24 - 4\/6. Let z = v - 0. Calculate the remainder when l is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*u**2 + 6409*k**2*u + 32567*k*u**3 + 4 wrt u.\nAnswer: -4*k**2 + 195402*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from mnmmtntnn?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 3.0756\nAnswer: -0.30756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38592, -77295, -116066, -154905, -193812, -232787, -271830?\nAnswer: -310941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-630)*162\/1377\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from fjfmmmfbzzfjmbzjfb.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 64*z - 72*z + 28, -4*z = 4*o - 68 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 5*o**2 - 5*o + 1. Let j = -5 + 11. Let r be b(j). Suppose r*s - 33 = 4*s. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0395541 plus -46.76717?\nAnswer: -46.7276159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23\/3 (b) -4787 (c) 0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 6*x**2 + 8*x - 7. Let m be j(7). Let g be (1 - (-6)\/(-10)) + m. Let k be (-624)\/(-288)*-6 + 531\/41. Put k, -0.4, g in increasing order.\nAnswer: -0.4, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 6. Let y be (24\/20)\/(v\/(-10)). Calculate the highest common factor of 28 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*v - 2. Suppose -2*q = v*c + 18, 3*q - q + 8 = -2*c. Let d be -2*((4 - 2) + -3)*q. Solve d*m - m = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*o - 85*o + 4 - 3)*(-2 + 1 - 1 + (-1 - 1 + 3)*(-4 + 1 + 1) + 2 - 2 - 1)*(15*o + 12*o - 2*o)*(1 - 1 + 2) to the form c*o + a + s*o**2 and give c.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 3*j**3 - 8 + 0*j**3 - 2*j**3 + 2*j**3.\nAnswer: 3*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-1 - 3\/(-3)). Suppose -2*s = -s + v, 2*a = 4*s + 26. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*a**2 + 31*a**2 + 7*a**2 + (0*a - a + 2*a)*(-3*a + 6*a - a) + (-1 + 1 + 1)*(-4*a**2 - 9*a + 9*a).\nAnswer: 47*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + a**2 + 2*a - 1. Let f(h) = -h**3 + 14*h**2 - 15*h + 27. Let l be f(13). Let d(g) = -g**2 - g + 1. Let c(n) = l*u(n) + d(n). Determine c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/66*30\/(-40)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9538391 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 241 = 3*f + 110, -f + 228 = 2*y. Suppose -4*b = 2*n + 62, 4*n + 18 = b - y. Let a = n - -89. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.5, 7, -0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 15) in base 16?\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0.418?\nAnswer: -4.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59393526 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 - -1.8. Let r = 3 - u. Let z = -0.3 - r. Which is the smallest value? (a) 0.1 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18843653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u + 65*u - 145 = 5*z, -116 = 4*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -606376 divided by -303188.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 4*w - 1040 = 2*w. Solve -26 + w = 7*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -431585?\nAnswer: 1\/431585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124 + 143. Put c, 4, -5 in ascending order.\nAnswer: -5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/((u\/u**(-14))\/u))*u*u*u*u**(-3)*u*(((u\/u**(1\/7))\/u)\/u)\/(u**(-6)*u*u) assuming u is positive.\nAnswer: u**(125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -898.52 - -919. Let y = -20 + z. What is y rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 1, y: 2, i: 3}. Give prob of picking 1 i and 2 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7354814?\nAnswer: 2, 373, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-3 + 4) - -6. Let w(b) = 4*b**2 + 12*b - 35. What is the hundreds digit of w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3070 and 1157390?\nAnswer: 1157390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 32*l + 38*l - 614*l**3.\nAnswer: -614*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 8176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 0 + -2 - (0 + sqrt(567))*5)**2*-6 + ((sqrt(567) - (-3 + sqrt(567)))*-5 - sqrt(567))**2 + (sqrt(567) - (sqrt(567) + -2 + -4)).\nAnswer: -53658 - 594*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24 + (-1*3)\/(-3). Suppose -3*v = -2*v - f. Calculate the remainder when 30\/v*(-100)\/(-6) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2613388 - -10595585?\nAnswer: 7982197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d + 0*d)*(2 - 3 - 1)*(0 - 10 - 6).\nAnswer: 64*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4452, -17787, -40008, -71115, -111108, -159987, -217752?\n\"Answer: -4443*w**2 - 6*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28602, -57205, -85808?\nAnswer: -114411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uccguggttcuugguut. Give prob of sequence gtg.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 26, -1, -0.2, -6, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 1*sqrt(162))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 269 - 101. Let y = b + 1912. Is 2\/9 - y\/(-36) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(6253\/26)*-1.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 7211130814.\nAnswer: 7211130813.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**8\/448 - h**7\/120 + h**6\/96 - h**5\/240 + 7*h**2. Factor r(f).\nAnswer: f**2*(f - 1)**2*(3*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l - 68 = 0. Suppose -4*c + j + l = 3*j, -36 = -3*c + 2*j. Solve -c = -2*n + 4*n, -z + n = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:38 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 2350, 7812, 18366, 35710, 61542, 97560, 145462?\nAnswer: 206946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -215 + 228. Calculate the greatest common divisor of 52 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7008, 7010, 7012, 7014, 7016, 7018?\n\"Answer: 2*x + 7006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6828 + -2.69.\nAnswer: -6830.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/27*-3*1. Find the third derivative of -4*a**2 - 10*a**s + 4*a**3 + 3*a**2 - 16*a**3 wrt a.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4\/4 + 3*h**3\/2 + 6*h**2 - 27*h\/2 + 27\/4 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j + r + 5 = 0, -4*j - 4*r - 4 = 0. Which is the closest to -2\/5? (a) 0.2 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323432 (base 5) to base 16\nAnswer: 2b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 8\/(-9))*3. Let z = 4.1 + -2.8. Let k = 1 - z. What is the nearest to t in -4, k, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03873968 - 6189.\nAnswer: -6189.03873968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494 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: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/3)*l)**46*(l\/(l\/(l\/l**(-3))))\/((((l\/(l\/l**(-1\/5)))\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(1258\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5094 take away 0.368931?\nAnswer: 5093.631069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.83 - 0.03. Let w = 0.6 + 0.3. Let x = f - w. Sort 1\/3, x, -3\/7.\nAnswer: -3\/7, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/129 or 0?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -50*u - 1407. Determine i(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197 - -793. Suppose 3*u = -5*f + 612, 5*f - 2*u = -u + t. Calculate the highest common divisor of 390 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 5 + (-1 - 2 + 1)*(-3 + 1 + 0) + 3 - 2 - 3 + 0 - 4 + 3)*(2 - 7 + 3)*(-2*y + 4 - 4).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose 4*g = -2*o + j, -2*g + 3 = -4*g - 5*o. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - -1 - (94 - (-14 - -101)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = z. Suppose z = -3*m - 2*g + 9, 0 = -g - 2*g. Find p, given that -2\/7*p + 2\/7 - 2\/7*p**2 + 2\/7*p**m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 1\/3*v**3 + 34 - 27*v - 5\/2*v**2. What are the prime factors of y(14)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1235, -1230, -1225, -1220, -1215?\n\"Answer: 5*y - 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t - 18 = 0. Let m(q) = q + 18. What is m(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 695774.4866 + -696532.4. Let p = 758 + q. Round p to 3 decimal places.\nAnswer: 0.087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12280.2902 rounded to the nearest 10?\nAnswer: 12280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(66)*6)\/sqrt(6))**2 - (sqrt(1584) + sqrt(1584) + -1 + sqrt(1584))*3.\nAnswer: -108*sqrt(11) + 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -11 + (9 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2691*d. Let b be i(0). Solve b*o - 4\/5*o**2 + 4\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600376 and 2101316?\nAnswer: 4202632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.505 + -62.0944. Let i = r - -8.6. Round i to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-30)\/50 + (-14602)\/245*4\/8\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*13.68.\nAnswer: -820.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/(18\/15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 13. Sort -0.3, -0.5, l in descending order.\nAnswer: -0.3, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 + 34*v - 9. Let l(i) = 2*i**2 - 17*i + 4. Let h(b) = 3*a(b) + 5*l(b). Let c be h(-18). Solve 2*u + 2*x + 2 = 0, -c = -3*u - 2*u - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -0.1. Let s = -60302 - -60301.99. Which is the closest to 2? (a) 5 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -188?\nAnswer: 7\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037954746 rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 2*p**4 - 9 - 152*p + 4*p**2 - 4*p**2 + 2*p**3 + 157*p in the form j*p**3 + n + s*p + l*p**2 + v*p**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 33\/5*b + 2 - 7\/5*b**2 = 0?\nAnswer: -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -1) + -4 + (-498)\/(-246). Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 10:50 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**6\/30 + q**5\/5 - 2*q**2. Factor t(s).\nAnswer: -4*s**2*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*g + 31 = -43, 4*x + 5*g - 133 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**0\/(p\/p**(-6))*p**(2\/3)\/(p\/p**(-6)) assuming p is positive.\nAnswer: p**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 281759462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6413 is divided by 2126?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5052378l to millilitres.\nAnswer: 505.2378","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -546*c + 30529 = 6275*c + 353040 + 100391 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -550 - -649. What is the lowest common multiple of a and 4?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 - -138.337. Let x = -0.137 + o. What is the nearest to -2\/7 in x, -1, 23?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 177602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/37673899 - -15121662602197\/1130216970. Let d = 13382 - v. What is the common denominator of d and 151\/96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20121340 (base 8) to base 5.\nAnswer: 2041023000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 3:59 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 367469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 88*m**2 + 1271*m - 23. Give a(-14).\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.56242329 to 2 decimal places.\nAnswer: 170.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7840945 divided by 5\nAnswer: 1568189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 8 - -5) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 16*r + 27*r + 3*r - 1342 = 0 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**14*c*c\/((c\/c**(-2\/13))\/c)*c)**48)**(-47) assuming c is positive.\nAnswer: c**(-494064\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 3*t - 37, 2*m = -4*t - 1366 + 1322 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 240, 957, 2144, 3795, 5904?\n\"Answer: -r**3 + 241*r**2 + r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = -21*h + 228305. List the prime factors of h.\nAnswer: 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9452 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven halves of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1465, -1464, -1463, -1462, -1461?\nAnswer: -1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 141958488, 283916982, 425875474, 567833964, 709792452, 851750938, 993709422?\n\"Answer: -j**2 + 141958497*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 7:23 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5472) + sqrt(5472) + sqrt(5472)*2 - sqrt(5472))*-1)\/(-4*(sqrt(98) - -2*sqrt(98))).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 6 - (-11 + 11 + 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = -2*k - b, -5*b = 2*k + 9. Let v(w) = -3*w + 1. Let x be v(k). Let n = 11 - x. Let l(d) = -d**3 + 3*d**2 + 5*d - 4. What is l(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121415154 - -5?\nAnswer: -121415145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(5)*-2 + 1 + (sqrt(5) - (1 + sqrt(10)\/sqrt(2)) - sqrt(5)))*-5 + (2 + (sqrt(5) - (sqrt(5) + -1 + -5)))*2)*1.\nAnswer: 80 + 75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + v = -4206 + 677, -25 = 5*v. Let q = t - -5623. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*d, -u - 2*d = 4*u + 3. Let x be (8\/20)\/((-4)\/(-10)). What is the closest to x in u, -0.4, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 1c3d?\nAnswer: 1c42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -9. Let f(j) = 153*j + 163. Calculate the remainder when x is divided by f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4272 and 44750891?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + -5 + 8 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 889*z + 55050. What is b(63)?\nAnswer: 3012","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/1)\/(-8*6\/(-48))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 206, 254, 342, 482, 686, 966?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f**3 + 851*f**2 + 4458*f + 6363 = 0. What is f?\nAnswer: -707\/24, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9487 - -9488. Suppose 0*g - 45 = -2*g - 3*p, -3*g + 50 = p. Suppose 2*x = 4*u + u + g, 4*u - 1 = -x. Sort 16, c, u in decreasing order.\nAnswer: 16, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -15*c**3 - c**2 - 972918*c + 972919. Determine r(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -631 + 630.99627. What is n rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1673, 6706, 15093, 26834, 41929, 60378, 82181?\nAnswer: 107338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h. Let c be -1 - ((h - -5) + -2). What is the tens digit of c\/14 - (-237)\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*h - 33*h - 72 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44957613 to the nearest integer?\nAnswer: 6705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.52, 1, 0.05, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -83. Suppose -5*f + 0*f = t + 74, -q*t - 26 = 2*f. Let v be ((-10)\/(-20))\/(1\/(-2))*f. Solve 0*a - a = -2*r + 10, -3*a = -r + v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11331.0003032 - 11331. Round q to 5 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22 and -4227.\nAnswer: -929.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*i + 93*i + 141*i - 329*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -570*r - 1899*r + 902*r. Let g(j) = j. What is g(o(a))?\nAnswer: -1567*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000045 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2291248*a + 48116209. What is z(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -36*v**2. Let f(i) = -2223*i + 2223*i + 5*i**2 - 2*i**2. What is f(u(w))?\nAnswer: 3888*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -26803*u**2 + 12903*u**2 + 8431*u**2 in the form n + q*u**2 + t*u and give q.\nAnswer: -5469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*l - 9*l + 31075, -l + k = -5185. Is l a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434616*p - 868993*p + 434377*p - 5*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000118 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -1\/6*a**3 + 0*a**2 + 0 + 8*a. Let w(f) be the first derivative of 3*f**3 + 16. Determine g(w(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.33, 19, -0.05?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 - -1.2. Let x be 190\/(-420) - (-1)\/6. Which is the biggest value? (a) s (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*o**4*v + 35*o**4 - 1746*o**3 - 21*o**2*v + o**2 + 37*o*v + o - 22*v + 6 wrt o.\nAnswer: 816*o*v + 840*o - 10476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264432 by -11018.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + -1*(sqrt(176) - (0 + sqrt(176))) + (-4*-2*sqrt(176) - sqrt(176)))**2.\nAnswer: -56*sqrt(11) + 8629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*g = -55, 171 - 31 = 4*w + 4*g. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1398 or -19198?\nAnswer: -1398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hihiih. What is prob of sequence iiih?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1634? (a) -9\/2 (b) 5 (c) 0.51 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22956, 45998, 69138, 92388, 115760, 139266, 162918, 186728?\n\"Answer: 2*s**3 + 37*s**2 + 22917*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -427.345 * 0.0266.\nAnswer: -11.367377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6 + d**2 + d**2 + d + 0*d**2. Suppose 7 = 3*p - m, 3*p - 5 + 2 = -3*m. Is z(p) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14868902 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1950 - (2 - 22))\/((-1 - -2) + -2) is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55554 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4, -i - r = 4*r - 20. Let v = i - 12. What is the tens digit of (-96)\/v*(-8 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 2.8 in decreasing order.\nAnswer: 5, 2.8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 6*a**2 - 1029*a - 2079. What is c(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u**5\/7 - 48*u**4\/7 - 1294*u**3\/7 + 14958*u**2\/7 - 49114*u\/7 + 5070 = 0.\nAnswer: -15, 1, 13\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= -278\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130322042 (base 5) to base 8.\nAnswer: 2331771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 21. Let h be b(-8). Suppose 135 = -28*o + h*o. Solve -19*s = -o*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -5536.94.\nAnswer: -5537.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - -300. Suppose -q + 94 = n. Let a = 332 + n. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxatqtqtvavtvtaqa. What is prob of picking 1 a and 2 q?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*t + 14 = 0, -5*f - 2*t = -3*t - 42. Suppose f*n - 11*n = -39. Solve n = -5*r - h, 3*h = r - 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411738713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*s - 805 + 148 = 0, -i + 4*s + 321 = 0. Suppose -8*b = -i - 411. Let r = b + -65. Calculate the remainder when 113 is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215*a**2*o*w + 12679*a*o*w + 364846*o*w - 108*w with respect to a.\nAnswer: -430*a*o*w + 12679*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3 + 40*c**2 + 372*c + 1008 = 0. What is c?\nAnswer: -28, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2138053 is divided by 16574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 take away 46013?\nAnswer: -45986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1786589 and 361.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169 - 101. Let r = f + 28. Let m = r + -51. What is the greatest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 4*k - 3, -126*k + 2 = 2*x - 121*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**6 + 8248*o**4 + 9*o**3 + 381616*o**2 wrt o?\nAnswer: 120*o**3 + 197952*o + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1266356 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 1. Let y(v) = -5*v**2 + 5*v + 1. Let u(t) = 3*b(t) + y(t). Give u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + -2.7. Which is the nearest to -2? (a) k (b) -0.1 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 n when three letters picked without replacement from vvpppjnpppnpvn?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263108 is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-14)\/(-4)) + 0. Let y(c) = 2*c**3 - 3*c**2 + 2. Let r(d) = -6*d**3 + 10*d**2 - 7. What is b*r(v) + 7*y(v)?\nAnswer: 2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*k - 16. Suppose -k*l = 26 - 42. Is (-797)\/(-2) + 6*(-2)\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11795 * 0.2\nAnswer: -2359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(196\/21)*7*1. Suppose 0 = 7*j - 2*j + g*w + 37, -15 = 2*j + w. Let f be ((-6)\/j)\/(-4 + 2946\/736). What is the highest common divisor of 23 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, a: 1, r: 3, k: 1, f: 3}. Give prob of sequence xx.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 7*b**2. Let v be s(-5). What is the greatest common divisor of v and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -20*h + 56. What is the hundreds digit of 2\/h - ((-16548)\/(-16))\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**2. Let g = 7 + -4. Suppose -3*q = q - 12. Let s(w) = -q*w + g*w - w. Give f(s(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -19. Let o be 287\/(-4) + (-12)\/6. Let w = o + 6203\/84. What is the closest to 0.1 in w, j, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 516.7, 5, 291 in ascending order.\nAnswer: 5, 291, 516.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -413 + 11?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwhw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*j - 9602 + 9626 = 0, -o + 88 = 98*j for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a*a**(-4\/5)*a)**(-3\/8))**9)**(-46))**(-2\/35) assuming a is positive.\nAnswer: a**(-4968\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 340929 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 44. Let w be p(-21). Let q = w + 2. Let r(n) = -n**3 - 21*n**2 + n + 40. Is 9 a factor of r(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -13. Let q = y + 5. Which is the second smallest value? (a) 4 (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-6 + -6 + (-50 - -4) + 14 + -4).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10435 - -4593. Let z = -5849.042 - p. Let m = z - -0.042. Which is the biggest value? (a) m (b) 1\/3 (c) -5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28921142 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 620860375 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w**2. Let v(o) = -5*o**2 - 323*o. What is v(y(j))?\nAnswer: -405*j**4 + 2907*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/50)\/(1\/(-10)). Suppose -f*g + 3*g + 19 = 0. Let w = g - 14. Solve 5 = -w*b - 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -132, 2\/13, -1\/6, 4\/7, -0.4, -23693?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63195, -63485, -63931, -64527, -65267, -66145?\nAnswer: -67155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 8*q - 67. Determine b(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*j**4 + 24*j**3 - 252*j**2 - 384*j + 192 = 0. What is j?\nAnswer: -4, -2, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -107841583.\nAnswer: -107841582.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:18 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*b + 39*b - 2. Let v(x) = 907*x**2 - 1816*x**2 + 921*x**b. Let s(y) = 6*y**2. Calculate s(v(n)).\nAnswer: 864*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 174142083 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -14. Suppose 5*c + 5*a = 575, v = -3*c + 2*a + a + 315. Suppose -9*n = -4*n - c. What is the remainder when n is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1567, 47, 1677, 3323, 4985, 6663, 8357?\nAnswer: 10067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 2. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {l: 2, g: 1, v: 6, x: 2, a: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7*i - 4, -18 = -4*f + 2*i. Find the common denominator of 5\/f*1192\/60 and -2*(-338)\/(-72) - -8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1279447354.581 - 0.4.\nAnswer: -1279447354.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 90*z**3 + 75*z**2. Let t(w) = w**3 + w**2. Calculate -l(f) + 75*t(f).\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -7603?\nAnswer: -7605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5550 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*h**2 + 29 - 29 - 5*h**2 + h**2 - 4*h**2 + (-4*h + 5*h - 5*h)*(-5 + 5 + h) in the form n*h**2 + t*h + k and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (0 + -8 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 16745*u - 33491. Let i be j(2). Let y(z) = 11*z**3 + 4*z**2 + 3. Let q(a) = 1 + a**2 + 3*a - 3*a. What is i*y(c) + 3*q(c)?\nAnswer: -11*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 8, -39, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 176 - 56 - 60 + 43684*v**3.\nAnswer: 43684*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-3))\/(((-2)\/(-11))\/(1276\/3509))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1013540 - 5?\nAnswer: 1013533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0422 times -4\nAnswer: -0.1688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opuru. Give prob of picking 1 r and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((((f**(-3)*f)\/f)\/f)\/f*f)*f*f)\/(f\/((f*f**5*f)\/f))*(f**(3\/2)*f)\/f**(-8\/5) assuming f is positive.\nAnswer: f**(161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 8. Suppose -k*p = -p. Suppose -2*g + 0*g + 20 = p. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2 + 240*l + 6363 = 0. Calculate l.\nAnswer: -21, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:58 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1433345 + -203345. What is v rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -4, 0.01, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 8. Determine m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 - 144.3. Which is greater: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 0. Let q(s) = -s - 3. Let t be q(2). Which is the biggest value? (a) o (b) t (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6135 - 6135 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0168165 rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:59 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 + 0*f**3 - 2*f**3 + 3*f**3 + 43*f**3 + 27 - 24 - 4*f**3 + 0*f**3 + 6*f**3 + (1 - 1 - 1)*(-f + f - 2*f**3) - 2*f + f**3 + 2*f.\nAnswer: 53*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1354, 2871, 4386, 5899, 7410, 8919, 10426?\n\"Answer: -c**2 + 1520*c - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 76, 86, 80, 52, -4?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5\/3 + 84*m**4 - 1318*m**3 + 7160*m**2\/3 - 1152*m = 0?\nAnswer: 0, 1, 16, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 145) + 124 + -98.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)*j)**26\/(((j\/(j*j**5)*j)\/j)\/j*j*j*(j\/(j*j*j**(-3)))\/j) assuming j is positive.\nAnswer: j**(113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 3143 + 1289 = 0. Suppose -b + 277 = u, -5*u - k = 2*b - 816. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3244 - 3240. Put n, -1, -314 in decreasing order.\nAnswer: n, -1, -314","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 47. Which is smaller: 16 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 23. Suppose -v*h + 6663669 = 1293669. Round h to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2950 = -8*o + 2966 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 229 and 195099527?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371138 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873789.\nAnswer: 3, 7, 41609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 317318 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9238 - -2586.\nAnswer: 11824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 596*-2\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/9)\/(4\/(-6)). Let h = 26 - 103\/4. Which is the biggest value? (a) -2 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/6372 and -58\/636867?\nAnswer: 450901836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:30 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34072.5 rounded to the nearest ten?\nAnswer: 34070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20027.\nAnswer: 7, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 2. Let p(h) = 4*h + 2. Let k be (-24)\/(-32) - (-9)\/4 - 6. Give k*o(v) + 4*p(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/7)\/c*c*c)\/c**8)\/((c*c\/(c*c**3)*c)\/(c\/(c*c**2))) assuming c is positive.\nAnswer: c**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/4, -0.2, -0.09, 3, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188166 or -564496\/3?\nAnswer: -188166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.5609762 + -3.\nAnswer: 20.5609762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 2. What is the common denominator of 31\/8 and (n\/8)\/(2\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 2754.9.\nAnswer: -55.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8064 times 64311\nAnswer: 518603904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 - 6.4. Let j be -2 + 1 - ((-17444)\/21)\/7. Let u = 118 - j. Sort y, 3, u, -1 in ascending order.\nAnswer: y, -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1790 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54388627971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5616, 5617, 5618, 5619?\nAnswer: 5620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + -5 - -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -r - 7, -4*a - 4*r - 19 + 3 = 0. What is the remainder when 3 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77858524 to the nearest integer?\nAnswer: 8824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2 - 4593*k - 4590 = 0. Calculate k.\nAnswer: -1530, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10417 + -10414. Let w(h) = -4 + 4*h**2 + 5*h + h**3 + 2*h**2 + 2 - h. Let x be w(-5). Solve o*y + l = -14, -14 = -4*y - x*l - 36 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - o + 5*o - 3*o)*(-4*o + 2*o + 0*o)*(-2*o + 6*o - 3*o).\nAnswer: -2*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148548 is divided by 787.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*m + 3 - 11, -4*f = -2*m - 8. Is 0 + f + 1 - -15 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 23 = 5*f, -4*f = -6*f - 8. Suppose i*m - 62 = m. Suppose 117 = 4*j - m. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, -1, -2 in descending order.\nAnswer: -1, -2, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6814 (base 13) in base 16?\nAnswer: -49481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 180 = -4*a, -z + a = -3*z + 86. Suppose 40*b + 1543 = z*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*g - 90 + 2 = 0, g + 143 = 3*y. Sort -2\/7, -0.1, -0.01, y in ascending order.\nAnswer: -2\/7, -0.1, -0.01, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2771*f + 2460*f - 1647*f.\nAnswer: 3584*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrw. Give prob of sequence rw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10477*a**4 - 11*a**3*y - 410*a**2 + 34763*a*y wrt a.\nAnswer: -251448*a - 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6984331349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 5*w**2 + 4*w**2 - 4431611*w**3.\nAnswer: -4431611*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -835, -1269, -1721, -2197?\nAnswer: -2703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13259 - 4424. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*s - 536 = -68*s. Let d = 55 - -80. Is d >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r**3 + 0*r**3 + 2*r**3)*(-5 + 3*r + 5) to the form n*r**3 + x + t*r + p*r**2 + z*r**4 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1097100866 rounded to five dps?\nAnswer: 0.10971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12\/25 of a minute?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 15*n + 3*n + 10*n - 39*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13bb (base 12) to base 4.\nAnswer: 203333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adjajdjpad. What is prob of picking 1 d and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 98164.61 days?\nAnswer: 8481422304000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8783, -31, 5, -2, 2, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388.5415t to grams.\nAnswer: 388541500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = s - 12. Suppose 10*y + 23*y + 462 = 0. Let o(l) = 2*l**3 + 28*l**2 + 5. What is the remainder when s is divided by o(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 757 - 352. Find the common denominator of 59\/72 and (x\/(-72))\/(-15)*-9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3029*o**2 - o + 1. Let l(y) = 2209 + 2211 - 6628 + y**2 + 2208. Give v(l(m)).\nAnswer: -3029*m**4 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.72092 to one decimal place.\nAnswer: -141.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -13\/5, -29, -47 in decreasing order.\nAnswer: 10, -13\/5, -29, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/4 + 36*o + 1539\/4.\nAnswer: -3*(o - 57)*(o + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 - 925*n**3 - 18135*n**2 - 33515*n - 16300 = 0. Calculate n.\nAnswer: -163, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 13507, 1.8, 2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2. Let l(h) = h + 1. Suppose 16 = -26*y + 18*y. Let v be 8\/2 + 21\/(-7). Calculate v*c(z) + y*l(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 5*f**2 + 8*f + 6. Let w be u(-6). Let y(j) = -j**3 - 6*j**2 - 4*j + 3. Let o be y(w). Suppose -4*l + 97 = -o. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 342\/24 - -6)*((-104)\/(-93))\/(-13)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 197*t - 39590. Give v(201).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -163140 and 2044.\nAnswer: -161096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b + -5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3342949301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 8 = 12*h + 4*j, 4*j = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (154\/77)\/(1\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47905*h**2*w + 10*h**2 - 20*h*w**3 + 28*h - 982 with respect to w.\nAnswer: -47905*h**2 - 60*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 - 4*f**3 + 4*f**3)*(-40913 + 82099 - 40997 - 3*f).\nAnswer: 3*f**5 - 189*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -4118 - (-3)\/3. Let g = k - 49333\/12. What is the common denominator of g and 2\/(-7) - (-734)\/168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 593*f + 53. Let s(z) = -593*z - 43. Determine -4*k(y) - 5*s(y).\nAnswer: 593*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c*l**3 + 2*c*l**2 - 100*c*l + 13*c + 192*l**3 + l**2 - 3*l wrt l?\nAnswer: 18*c*l + 4*c + 1152*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/51*170\/(-50).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -5. Let a = 1930.267995 - 1937.268. Let c = q + a. What is c rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, v: 1, i: 5, f: 3}. Give prob of picking 1 i and 1 f.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 13, r: 5}. What is prob of picking 1 q and 1 v?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 18. Let y = -417.462 + 418. Let g = -0.738 + y. Sort k, -2\/11, g in ascending order.\nAnswer: g, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(405) + sqrt(5) + -1*sqrt(605) + sqrt(5) + (sqrt(5) + -1 + sqrt(5) + 5 - -6*2*sqrt(5)).\nAnswer: -4*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 + 78 - 75*u**2 in the form s*u + h*u**2 + n and give h.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 9. Solve -2*c - 2*c = -s - 10, 0 = 4*s - j*c + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:41 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 1532025?\nAnswer: -1532020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/770 and 41\/19825.\nAnswer: 3053050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 20 = -4*h. What is the second derivative of -2*p + 6*p - 10*p**h + 8*p**5 wrt p?\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, y: 3}. What is prob of picking 1 u and 2 y?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + k + 7 = 5*s, 5*s - k = -13. Let j(l) = l**2 - 1. Let f be j(s). Suppose -f*x = -4*m + 17 + 49, -3*m - 2*x + 58 = 0. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1\/(-5) + (-8)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137*f + 31*f + 279*f)*(-2 + 4 + 0 + (3 + 1 - 5)*(-5 + 3 - 4)).\nAnswer: 1384*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 15*o - 15. What is the remainder when 23 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 18550*k + 17205125.\nAnswer: 5*(k + 1855)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 - 2*z + 7. Let i(q) = 14*q**2 + 6*q - 20. Let s(o) = -6*i(o) - 17*x(o). Let a be s(-4). What is the units digit of ((-20)\/a)\/(2\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(2*sqrt(4)))\/(1*sqrt(605)))**2.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((0 + -3)\/(-3)). Differentiate -3*p + 2 + p + d*p with respect to p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 22. Let k be x(5). Suppose -7 = k*q - 1, -i + 3*q + 83 = 0. What is the remainder when i is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121373.1ns in days?\nAnswer: 0.00000000140478125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 - 15140*x**2 - 241472*x - 964864 = 0. Calculate x.\nAnswer: -3769, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*m**2 + 5*m**3 - 800*m**5 - 72*m**2 - 5*m**3 + 28 + 132*m**2 wrt m.\nAnswer: -48000*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((9\/45)\/((-8)\/(-20)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1133315.088 to the nearest ten thousand.\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23928176, -23928196, -23928216, -23928236, -23928256?\n\"Answer: -20*i - 23928156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(2448) + 0.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-36)*(-12)\/(-5 - -1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-4*sqrt(12)\/sqrt(2)) + sqrt(14)\/sqrt(112) + sqrt(2) + -1 + 1.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 3.73 (c) -2\/5 (d) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4807.633g in tonnes?\nAnswer: 0.004807633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/6)\/(16\/4392).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.30576 rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*f = 1705*f + 66758 - 18212 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**6\/30 - g**4\/6 - 2*g**3\/3 + 7845*g**2. Let i(z) = z**2 + z + 1. What is -c(s) - 3*i(s)?\nAnswer: 4*s**3 - 3*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*g - 4*g. Suppose -3*i = -48 + g. Calculate the smallest common multiple of i and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(2\/25)*v))\/((v*v*v*v**(-2\/9)\/v*v)\/v*v)*(v**(-41))**(-1) assuming v is positive.\nAnswer: v**(8582\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 - (7 + -33 + (12 - 14) + 22).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 1:00 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 2*w**2 + 2*w - 1. Let h = 39793 + -39779. Calculate the remainder when s(-3) is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -358923.5 and -0.1?\nAnswer: 35892.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2. Let q(s) = 47*s. Give w(q(d)).\nAnswer: 13254*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -6, -15, -18, -9?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*y + 60*y + 5*g = -13, -2*y + 14*g + 33 = 9*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d6818 (base 16) to base 7.\nAnswer: 141525101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 505182 - -469818. What is h rounded to the nearest ten thousand?\nAnswer: 980000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 + -7 + -30 + 36 + 7 + (-3 - -1)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463496 is divided by 52.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**2 - 4*i**5 - 2*i + 7*i - 5*i - 4*i**3 - i**5 wrt i.\nAnswer: -300*i**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 1\/5 (c) -1\/9 (d) -0.09 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 76620643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1802215093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 216828137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of ((-17)\/3)\/(6\/(37620\/(-5)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32528 + -32532. Sort -1, 43, -5, 11, l in increasing order.\nAnswer: -5, l, -1, 11, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*w - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 47235?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28140 = 41*n - 62*n. List the prime factors of n.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-20))\/(2\/300). Suppose -o - 16 = -x. Suppose o = 4*i - 4*j, 4*i + 2*j - 100 + 38 = 0. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254 = 2007047*b - 2007052*b + 321 for b.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-21))\/((-2)\/(-7)). Suppose t*b = b. Suppose 5*j + b*j - 15 = 0. Solve w = -j*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-116)\/145)\/(4\/(-10)). Suppose x*h = -5*z + 3*h + 4438, -4*h - 3560 = -4*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322.3862 - -0.5.\nAnswer: 322.8862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*t - 2 = 110*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*g + 18*g - 38*g**2 + 4*g**2 - 24*g + (0 + 2 + 0)*(g**2 - g**2 + 2*g**2).\nAnswer: -30*g**2 + 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(1 + 1 - 0). Let u(i) = 2*i - 16. Is 10 a factor of u(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37766, 37765, 37772, 37793, 37834, 37901?\n\"Answer: n**3 - 2*n**2 - 2*n + 37769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + r - 25. What is the smallest value in -4, r, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53442*k**3 + 108696*k**3 - 162130*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2769610392 to the nearest integer?\nAnswer: 52627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y - 7. Let w(m) = 1801 + 6*m - 1814 + 13*m. Give 6*w(l) - 11*z(l).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58718673 a multiple of 909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r + 12 = -4*g, -r + 4*g + 24 = 0. Suppose -5 - 16*s**2 + 17*s**2 - r*s - 2 - 5 = 0. What is s?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 12*g**2 + 13*g + 5. Suppose -4*a + 12 = -40. Let r be s(a). Let h = 6 + -4. Solve -4*y = -h*v + 16, 0 = 5*v - 0*y - r*y - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84225133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 0)*-3 - -3. Solve 7*t = w*t - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 115809, 115807, 115803, 115797, 115789?\n\"Answer: -r**2 + r + 115809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1261 - 5256. Let z = -127 + 1832. Let q = x - z. What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 65\/26*8\/5. Suppose 2*n = -2*b + 14, 2 = 5*b - f*n - 6. Find the third derivative of -33*k**2 + 41*k**2 - 5*k**b - 2*k**4 wrt k.\nAnswer: -168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 8380 - 39345 = 0. Suppose z = 8*z + 25515. Let h = z - u. What is h rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -148, -79, 28, 185, 404, 697, 1076?\nAnswer: 1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16540 is divided by 145.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i - 15. Let j = i - -42. Suppose 246 = 3*m + j. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000196878 rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -39, -45, -39, -15, 33, 111, 225?\n\"Answer: v**3 - 3*v**2 - 10*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, c: 1, x: 1, z: 2}. What is prob of sequence lczl?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, 2, 9, 18?\n\"Answer: l**2 + 2*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 972429785 rounded to the nearest one million?\nAnswer: 972000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 4*d**2. Suppose -b - 6*i = -i - 2, 3*b + 5 = -4*i. Determine t(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/2946 and -37\/18711519.\nAnswer: 37423038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and 1780355.\nAnswer: 64092780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h - 4. Let g(z) = -1. Suppose 20*x + 154 = 174. Determine x*j(o) - 6*g(o).\nAnswer: -11*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 558365 and 1190?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3107*m + 341793. Give k(110).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3703 and 1127.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from armmfaawafrfrraaaarw. Give prob of picking 1 a, 1 m, and 1 f.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17460 divided by 28240\nAnswer: 873\/1412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -33)\/126 + 53\/12 + -1?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -2*r**7\/21 - 17*r**5\/60 - 21*r**2. Find the third derivative of y(x) wrt x.\nAnswer: -480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -766248.43588 + 766264. Let v = i + -6.567. Let s = 9 - v. Round s to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45488114 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*r = -740 + 458 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let k(z) = 158*z + 8 - 49*z - 7. Give k(v(q)).\nAnswer: -109*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 + 1330*d**3 + 94845*d**2 + 851200*d + 2048000 = 0.\nAnswer: -128, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 241230284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 34*x + 1489. Determine i(-44).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 + 23*a**2 + 10*a + 22. Calculate j(-4).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -765, -866, -963, -1050, -1121, -1170?\n\"Answer: i**3 - 4*i**2 - 96*i - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*i - 6102 = -473 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 915943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 245569008 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -11*q - 19. Suppose 3 - 7 = 2*g. Let n be z(g). What is the third derivative of 4*t**2 + 14*t**2 - 1043*t**3 + 1005*t**n wrt t?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.101882 seconds?\nAnswer: 9101.882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14775 - -2704. Is v a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(3\/(-21)) - 3. Calculate the lowest common multiple of 5 and 3 + 0 + (f - -11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a day in minutes?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3294045 and 2493?\nAnswer: 912450465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*g + 113 - 0, d = 5*g + 119. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v = -77*v + 9*v + 552. Let n(i) = -i**2 + 5*i + 1. Determine n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0283905*0.01.\nAnswer: 0.000283905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - p**5 - 3 - 5*p**5 + 3*p**5 - 5*p**5 + (-3*p**2 + 3*p**2 + 2*p**4)*(-p + p - 2*p).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - -2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 244.804365 - -4\nAnswer: 248.804365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3290 and 220202990.\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1054\/96 + -10 - -4*(-7)\/168.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 237, -2, 2, 10, -10, -1, 28 in increasing order.\nAnswer: -10, -2, -1, 2, 10, 28, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9 - ((-80)\/(-15) - 3). Let j(w) = -150*w - 13. What are the prime factors of j(h)?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 18. Let y = -1\/1039 + -96619\/8312. What is the common denominator of (1\/q)\/((-3)\/186) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/16)*a*a)\/(a\/(a*a**(12\/7)*a)) assuming a is positive.\nAnswer: a**(549\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 6*c - 2. Let z be s(-5). Let n(k) = -k - 1. Let o be n(-4). Suppose o*y = 2*y - 2. Put z, 5, y in decreasing order.\nAnswer: 5, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 q when three letters picked without replacement from izqbzzbiliibqqdzbzdq?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5928 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -10. Let x(i) = -5*i**2 - 2*i - 6*i**2 + 12*i**2 - 13*i - 18. Let p be x(16). Which is the biggest value? (a) p (b) 2\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200022 (base 4) to base 3.\nAnswer: 2211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(12\/7)*v*v**(3\/4)\/v)\/(((v**(-2\/13)\/v)\/v)\/v**(-4\/21)))**(-5) assuming v is positive.\nAnswer: v**(-29635\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 10*v + 8. Let b be k(-6). Solve -4*a - b = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1138 - 2*n + 1532*n**2 - 1138 to the form k + o*n**2 + l*n and give o.\nAnswer: 1532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + sqrt(125) + 1 + (sqrt(125)*4 + 5)**2.\nAnswer: 205*sqrt(5) + 2020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 101118 + -5?\nAnswer: 101113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (16 - (9 - 3)) + -20?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 5*f**2 - 4*f - 4. What are the prime factors of a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -33*v - 97. Let o be k(-5). Let b = -35 + o. What is the lowest common multiple of 87 and b?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15978588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/(-231))\/((-2)\/14*4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20 + (-5 + 4)*2. Let k be n - 9 - (6 + -2). Solve -3*r + 0 = f - 8, -k*f = -5*r + 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 + 330?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a559 (base 16) to base 4.\nAnswer: -122111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68369708?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 591*v**2 + 272*v - 802*v + 266*v + 264*v. Let p(n) = n. Calculate p(d(r)).\nAnswer: 591*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**3 - 13*f**2 + 8*f + 18. Let l(v) = 3*v**3 - 9*v**2 + 5*v + 12. Let r(b) = -5*c(b) + 8*l(b). Let g be r(-7). Sort 0, -4, g in increasing order.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-42)\/33*(-1353)\/369.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 16296953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 13*a**2 + 29*a + 23. Let z(r) = -r**3 + 14*r**2 - 28*r - 9. Let y(l) = 4*x(l) + 5*z(l). Determine y(17).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d + 35 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 + 126235*k + 109296150 = 0. Calculate k.\nAnswer: -838, 26085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22504 - -355250?\nAnswer: 411054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -2*l**2 + 0*l + 1\/6*l**3 - 1\/6*l**4 + 1\/120*l**6 + 0 + 1\/20*l**5. List the prime factors of h(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -15. Suppose -7 - z = -b. What is the highest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 0, 3*m - h + 10 = h. Let w = 1 + m. Let d be 406\/348*(-4)\/126. Which is bigger: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**5\/60 - 19*p**4\/6 - 811*p**2. Let q(k) = 9*k. What is q(z(n))?\nAnswer: -9*n**2 - 684*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332120 - 20313332?\nAnswer: -13321212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65155 - 15355 = 109*g - 97350. Calculate the greatest common divisor of 216 and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/39*-65*48\/(-200)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 52*r + 270. Let f be i(-5). Suppose 0 = -5*y + 5*n + 30, -36 = -3*y + y - 4*n. What is the greatest common divisor of y and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 24, -12\/551 in decreasing order.\nAnswer: 24, -12\/551, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2916*f**4\/5 - 83592*f**3\/5 - 100224*f**2 - 923648*f\/5 - 557056\/5 = 0?\nAnswer: -16\/9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w - 3. Let f(g) = g + 3. Let k be f(-2). Let n be (4 - 7) + 1\/k. Let u be b(n). What is the highest common divisor of u and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 81. Let q = t + -26. Calculate the remainder when 32 is divided by (-1)\/(-1 + q\/11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17772801.\nAnswer: 3, 5924267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 5*l - 5, 0 = 2*n - 945*l + 940*l + 37 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.014?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.09 - -1.09. Let j = -12 - -9. Which is the closest to j? (a) -2\/15 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 31*g**2 - 642 + 10*g**2 + 645 + 21*g**2.\nAnswer: 69*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 282, 240, 160, 42, -114, -308, -540?\n\"Answer: -19*k**2 + 15*k + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 164, 191, 216, 239, 260?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3618516.5595 + 3593737. Let n = -24635.5594736 - y. Let p = n - 144. Round p to six decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 774926907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*b + 2*w + 2*w, -3*b - 2*w + 17 = 0. Suppose -8513 = b*v + 3487. What is v rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/5 - 11*k**3 - 52*k**2\/5 + 108*k\/5 = 0.\nAnswer: -54, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + 18 + -149 + 11 + 13.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019489812 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 109. Let u be 9 + w + 0 + 7. What is the greatest common divisor of 18 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87726 or -5?\nAnswer: 87726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11285226 + -1?\nAnswer: -11285227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 411, 2, 0, 4, 3.\nAnswer: -1, 0, 2, 3, 4, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/((-240)\/(-175995)) + (-10)\/8.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 2:02 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.8 in -2\/9, 21, 2\/3, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 32*u**2 - 64*u - 32. Let a be w(34). Calculate the greatest common divisor of 24 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 16\/13 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**3 + 233548*z**2 + 1513022*z.\nAnswer: 6*z + 467096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - h + 7 = 0, 1 = -y + 4*h - 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 73 (c) 4.92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 0.11, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*116\/8 - -1. Let s be (n\/20)\/(6\/76). Let l(d) = d**3 - 2*d**2 - 9*d + 1. Let m be l(0). Solve s = 5*i - m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/237 and 151\/18.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1887 + -1885. Determine z so that 12 + 1\/3*z**t - 4*z = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -60. Suppose 4*v = -4*m + m + h, 0 = -3*v - 4*m + 18. Suppose 5*f - 16 + 1 = 0. Calculate the highest common divisor of f and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52460\/7 - 7494. What is the closest to 0.11 in j, 0.06, 0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 13) in base 14?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 1)*((-5 + 4 + 3)*(-3 - 3 + 2) + 0 - 1 + 0) + (2 - 4 - 1)*(-122 - 89 + 10))*(-x**4 - 2*x**4 + 5*x**4).\nAnswer: 1152*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = h - 0*h. Let l = -36566 - -36595. What is the highest common factor of h and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 372 + -371. What is the third biggest value in 2, -1\/9, x?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -114.1 and -0.07.\nAnswer: -114.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-45)\/(h\/((h\/(h*h**(-2\/17)))\/h)*h*h**2)*(h\/(h*h**3*h)*h*h**(5\/6))**16 assuming h is positive.\nAnswer: h**(278\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**2\/5 + 6656*o\/5 - 339948 = 0. What is o?\nAnswer: 315, 1349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 12*m - 196. Let p = m + 46. Let q(w) = 5*w + 28. Let s be q(-5). Sort p, 4, 2, s.\nAnswer: p, 2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292722498 by 2.\nAnswer: -146361249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 304 + 1085 = 0. Let r = v - 47. What is the greatest common factor of r and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -11 + -4 - -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**6\/120 + z**5\/60 + z**4\/12 + 3*z**3\/2 + 10*z**2 + 17. Give l(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165886.8397 + 6.\nAnswer: -165880.8397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 1:08 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 0 - b + 3\/4*b**4 - 11\/2*b**2 - 11\/6*b**3. Let n(r) = -2*r + 5*r**2 - 6 - 5*r + r. Give 6*f(q) - 11*n(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3906.628 microseconds in seconds?\nAnswer: 0.003906628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 88040\/1116 - 10\/(-9)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*(i*i\/(i\/(i**0*i))*i)\/i)\/(i\/i**(4\/7)*i*i**(3\/8)*i) assuming i is positive.\nAnswer: i**(67\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 902.428 years?\nAnswer: 9.02428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.433611 - 4531?\nAnswer: -4530.566389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -51124, -2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 11:58 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 380 = 44. Let i = -40 + o. Solve -4*r = -3*z + i, -3 = -2*z + z - r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n**2 - 322*n**3 + 262*n**3 - 19*n + 61*n**2.\nAnswer: -60*n**3 - 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.377331 weeks in minutes?\nAnswer: 54203.49648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122102 (base 4) to base 7.\nAnswer: 22563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/((-1)\/63). Let m be 906*(-1 + (-4)\/6). Let r be m\/(-8) - 3\/(-12). What is the highest common divisor of z and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-10)\/(-8)) + 14\/(-8). Does 6 divide (c + (-784)\/12)\/(4\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 - 2*b - 248*b**2 - 19*b**3 + 106*b**2 + 144*b**2 in the form a*b + c*b**4 + f*b**2 + o*b**3 + y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 55, 3, -102, 5.\nAnswer: -102, -4, -1, 3, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8790148*p**2 - 2*p + 1. Let a(m) = -6*m**2. Determine q(a(j)).\nAnswer: -316445328*j**4 + 12*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 9 (c) -0.02 (d) -2\/83 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6596257 a multiple of 1194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62421528697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - -32027?\nAnswer: 32056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (134160\/(-12040))\/(65\/(-420)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 2*l**3 + 3*l**2 - 2*l - 2*l + 3*l**3 + 4. Let c be i(-3). Suppose -28*f = -23*f - c. What is the highest common factor of f and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2148 + -2213.34. Let g = 30 - -36. Let u = g + z. Round u to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2 + 2 + 3*x**2 - 5*x**2 + 5*x - x**3 - 8. Give a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -15 - 117. Let t be -3*10\/4*r\/(-18). Solve t*g + 24 = -a, -g + 2*g - 3*a = -8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 21 + 39 + 16 + 32?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/60 + 5*a**4\/12 - 3*a**3\/2 - 418*a**2. Calculate n(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 6692.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yymmyyymmmymymyyymm. What is prob of picking 4 y?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 6, p: 7, l: 3}. Give prob of picking 1 q, 1 k, and 2 l.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21254 + -787?\nAnswer: -22152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3297645?\nAnswer: 3, 5, 13, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11634 (base 9) to base 8.\nAnswer: -17177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*j + 0 + 6 - 4)*(0*j - j + 2*j) to the form r*j**2 + v + m*j and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 3*s - 3. Let c be (8\/(-4))\/(-1 + 2). Let z = c + 3. Suppose -h + 3 = z. Determine x(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82104 divided by 10263\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -82, -63, 66, 305, 654, 1113, 1682?\n\"Answer: 55*u**2 - 146*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5354 and 180.6?\nAnswer: 966932.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 780\/84 + (10 - 845\/91).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 1. Let f(k) = -21*k**2 - 3*k. Suppose 228 = 37*t - 41*t. Let l = 58 + t. Let u(b) = l*f(b) - d(b). What is u(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let v(x) = -209*x**2 - x - 3. What is v(q(c))?\nAnswer: -836*c**4 + 2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/624734157 or 1?\nAnswer: 1\/624734157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1178129 + 363.\nAnswer: 1178492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -7\/6 (c) 0.6 (d) 34401\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37.17 - 8.53. Let a = z - -43.3. What is the third biggest value in -1\/5, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q - 56 = 43*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967294 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 3*u + 5*d - 10, 2*u - 3*d = -4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.09 and -76.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 1 = 3*w. Which is smaller: w or -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/20 and (134\/3)\/(13\/((-39)\/(-36))).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -3*i**2 - 170. Let z(s) = 8*s + 3. Determine q(z(h)).\nAnswer: -48*h - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.031, 2, 69288?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2 + 3*t + 0*t**2 - 3*t - t**2 + 2*t. Let g be s(0). Factor 3\/4*q - 3\/4*q**3 + 1\/2*q**g - 1\/2.\nAnswer: -(q - 1)*(q + 1)*(3*q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddz when three letters picked without replacement from {y: 2, a: 1, d: 3, z: 4, f: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-28)*24\/(-60). Sort -12, q, -2\/11, 2\/9 in ascending order.\nAnswer: -12, -2\/11, q, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - v**2 + 3*v**2 + 2 + 0. Let o(u) = -u + 10. Let b be o(8). List the prime factors of x(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.37 * -21950.\nAnswer: -139821.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5876 - 88142\/15. Which is the closest to -0.4? (a) 5 (b) h (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - s + 0*s + (-4*s - s + 3*s)*(-3 + 0 + 1) - 2*s + 2*s + 3*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -281*t**2 + 332*t**2 + 381*t**2 to the form m*t**2 + o*t + c and give m.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 27. What is the remainder when 164 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(1\/9)))\/(a*(a*a**(-7))\/a) assuming a is positive.\nAnswer: a**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**9\/3024 - i**8\/840 + i**6\/180 + i**5\/120 + i**3 - 2. Let u(d) be the third derivative of z(d). Factor u(t).\nAnswer: -t*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (298\/596)\/((-7)\/(28\/(-10)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + ((-420)\/99)\/4. Let s(d) = 3*d + 125. Let h be s(-43). Let x be (-24)\/32*h\/54*-3. Which is the closest to f? (a) -0.3 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihccfceiccie. What is prob of sequence cfc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 7*k**5\/60 - 10*k**2. Let l(b) = -b. Calculate u(l(y)).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(243))**2 + -4) + (4*(2 + 4 + sqrt(3)))**2)*6.\nAnswer: 1152*sqrt(3) + 10914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 11:44 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -6*z + 22. What is the third biggest value in z, 0, 4, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**2 + 668*t**6 + 9*t**2 - 684*t**6 wrt t?\nAnswer: -1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o + 24*o + 212 = -4*y, -3*y + 2*o - 143 = 0. Is y bigger than -228\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 = 5*p - 5*x, 0 = 5*p + 9193*x - 9192*x + 74 + 205 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {e: 2, l: 2, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -15*d**3 - 14853*d**2 - 3274902*d - 3908520 = 0.\nAnswer: -660, -329, -6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*h + 29*h - 45. Let m = -3 + h. Let j be -1 + 1*12*3\/m. Solve 2*r + 0*r - 14 = -5*l, 4*l = j*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**3\/(n*((n\/n**(-6))\/n*n)\/n))\/((n\/n**(-7))\/((n\/((n*n\/n**8)\/n)*n)\/n)))**(1\/4))**48 assuming n is positive.\nAnswer: n**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -258*v. Let l(w) = 194*w. Let a(s) = -3*g(s) - 4*l(s). Let k be (6\/5)\/((-2)\/10). Let c = 1 + k. Let n(q) = -q. What is c*a(j) + 6*n(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 4*c + 26, -20 = 4*f - 3*c. Suppose 0 = 4*o + n - 21, 5*n = -2*o - 5 + 2. Let z be o*-3*(-2)\/(-9). Which is bigger: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 4. Let r(q) = 13*q**2 + 2*q - 1. Let v be r(z). Let l be 2 + 16\/v + -3. Sort -1\/3, -0.4, l in increasing order.\nAnswer: -0.4, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 + -99. Suppose -854 = -7*n - g. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37\/42 + -3\/14. Let p = -15 + 9. Let o = p - -9. Which is the nearest to f? (a) 1\/9 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241*l**3 - 634*l wrt l.\nAnswer: 1446*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, h: 3, c: 2, o: 1, b: 6}. Give prob of picking 2 c.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 - 2 = 0. Let z(g) = g**3 + 3*g**2 + g + 1. Calculate the remainder when o is divided by z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-10)\/f)\/(f*f*(f\/((f**(-14)\/f)\/f))\/f*f))**46)**7 assuming f is positive.\nAnswer: f**(-9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kznl when four letters picked without replacement from {k: 1, l: 12, n: 5, z: 1}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2939 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 8*m - 6. Let y be u(-6). Suppose 0 = -l + y - 4. Suppose 2*q = 3*n - 27, -4*n = -q + l*q - 36. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 542230 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8490631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 9*t + 2. Let m be l(9). Let a be (-429)\/104 + m\/16. Calculate the remainder when (-274)\/a - 2\/4 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 986 by -3.\nAnswer: -986\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4668 and 192271808?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5936*m + 31622 + 54526 = -27852 - 28464 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -4, -5\/34, 3, 1\/11, -3\/10 in increasing order.\nAnswer: -53, -4, -3\/10, -5\/34, 1\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66415 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*2 - sqrt(1100))*6)**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 1012?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 517091\/44 - 11753. Calculate the common denominator of 101\/20 and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13122041 (base 5) to base 10.\nAnswer: -129646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15313 - -5558623\/363. Are 0 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 1. Let f(u) be the first derivative of u**4 + 2*u - 81. Determine 2*f(t) + 4*y(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517*y**3 + 20*y**2 - 20*y**2 + 97*y.\nAnswer: -517*y**3 + 97*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9857 divided by 240?\nAnswer: 9857\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 14*a**2 + 14*a + 21. Let h be y(15). Suppose -h*t = -29 - 157. What is the remainder when t is divided by -2*-4*1*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(32\/(-4)))\/(-1)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, 1 c, and 1 a when four letters picked without replacement from {z: 1, k: 1, c: 9, a: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 642 (base 8) in base 11?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17149 and 63877?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -26*-10.07\nAnswer: 261.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (13 + (-1 - 24)) - 44?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 + 32. Let y(q) = 93*q**2 + 44*q. Calculate y(o(t)).\nAnswer: 837*t**4 - 17988*t**2 + 96640","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1344 - -10.1344. What is the closest to m in -2\/3, -0.4, -8, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*q**3 + 865*q**2 - 862*q**2 - 486*q + 474*q to g*q**2 + l*q + t*q**3 + k and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -238854, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - w)*(-261 + 128 + 114 + (2 - 5 + 1)*(1 + 0 - 2))*(0 + 0 - w).\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 17*t**2 - 2*t + 2*t**3 - 4 + 26*t**2 - 39*t**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/15 and -59\/275.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + -12 + 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*r = 2*q + 20, 10 = q - 4*r. Let o be 2\/28*(q - -4). Let s = -9 - -4. Which is the biggest value? (a) 0.4 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2. Let f(w) = -1378*w + 1. Give f(i(p)).\nAnswer: -2756*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 3:57 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*n - 2*n - 30, 0 = -g - 3*n + 30. Suppose 2*x - g = -x. Suppose c - x = 1. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o - 8. Let d be x(5). Suppose -2*w + 3*w - d = 0. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/216 - 449*8\/(-252). Put 1, j, 4, 0.1, -5 in ascending order.\nAnswer: -5, 0.1, 1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from ahhhahp.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:20 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -27*b + 0*b**2 - 10 - 4\/3*b**3. Let a(r) be the first derivative of p(r). Let n(g) = -2*g**2. Calculate a(n(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - k - 4. Let a(c) = 21*c**2 - 6*c - 27. Let r(w) = 4*a(w) - 27*d(w). Let v be r(-3). What is the greatest common divisor of 72 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5863 is divided by 54?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1705 and 330?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 7. Let m be h(-6). Let f = -7 + m. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p*p**29*p)\/p*p)\/(p*p**(-3))*(p**(1\/6)\/p)\/(p\/(p\/p**(-7))*p) assuming p is positive.\nAnswer: p**(241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -195.91 and -88543.\nAnswer: -88738.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t + 3. Let k(a) = 16*a + 5. Let s(h) = -7*b(h) + 3*k(h). Let d be s(-8). Suppose -d*j - 36 = -3*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, g: 12}. What is prob of sequence ggg?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*(-16)\/3. Let d = 25 + n. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - ((1 - -14) + 6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((-3 + sqrt(567))*2 + sqrt(567) - sqrt(567)) + sqrt(567) + (sqrt(567) + sqrt(567)*-2 + sqrt(567))*-2))**2.\nAnswer: -2916*sqrt(7) + 46251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 8. Let u(r) = -14*r**3 - 2*r**2 - r. List the prime factors of u(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -62, -1, -4, -252 in increasing order.\nAnswer: -252, -62, -7, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -24. Let x(k) = 5*k + 4 - 8 - 4*k + g. Let u be x(4). What is the greatest common factor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(-1))**(-4\/23)\/(f\/(f\/(f\/((f\/(f*(f\/(f*f\/(f\/f**(-1)*f)))\/f*f*f*f)*f)\/f*f))*f))**(-18\/11))**(-1\/31))**44 assuming f is positive.\nAnswer: f**(-4792\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -3, -50, 4, -1\/181?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*((-80)\/6)\/(-8). Suppose 0 = n*h - 5, -4*b + 5*b = -h + 71. Calculate the greatest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 15\/64874357?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28576 - 28571.9998. Let o = l + -4. Round o to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 437*u - 25 = -433*u, -2*f = 5*u - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1607 minus 0.1?\nAnswer: -13.2607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -278.326 - -278. Let c = f + 0.32. Let x = 0.06 - c. What is x rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {s: 3, j: 5, p: 3, x: 6, l: 1}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/6*4352\/238. Solve -60*r - h + 484 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-2 - 3) + 745. Suppose l*r + 132 = 743*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12 + 86\/(-8))*20. Solve -81 = 14*n - q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3003 divided by 91.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + 4.58. What is y rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2588*u - 2615*u + 8 + 100 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5. Let u be -2*(-1)\/(3 - d). What is the common denominator of 31\/7 and 44\/(-24) + u\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -41*b + 5. Let g(a) = -5*a + 12. Let j be g(4). Let h be w(j). Suppose -2*f = 5*t - 4*f - h, -114 = -2*t - 4*f. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -19. Suppose -3 = 3*r + 5*x, 4*r + l*x - 2 = -1. Sort -1, r, -14 in descending order.\nAnswer: r, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - -6)\/(-1 + 5)*-12. Suppose 3*c = -m + 9, 2*c - 7*m = -q*m + 1. Solve -4*d + 0*s = -5*s, -4*d - 12 = -c*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 331 + 288. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -0.2, 43, 0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1851 (b) -4 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 6597156.\nAnswer: 13194312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88 + -3810?\nAnswer: -3755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4)*(25\/6 - 4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v + 7. What is i(5)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7560 is divided by 754?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2467 + -2437. Let h = 12 + -6. What is the lowest common multiple of z and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from {u: 6, c: 2, f: 2, y: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**8\/840 + x**7\/175 + x**6\/300 - 7*x**5\/150 + 4*x**3\/15 + 11*x**2 + 11*x. Let r(h) = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903814771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63980?\nAnswer: 2, 5, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66234559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593 is divided by 58?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*k + 7998 = 598*k - 1228*k for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.68 in -1, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 782598517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0456 rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1455 and 715761060?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0208 + 1.0632. Let i = -76 + 75. Let g = i + l. Round g to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10736 = 2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n + n = 37 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68839705 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90.9999733 - 91. Round z to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.524337 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1 - (-162333)\/6366)\/(-3 - -1).\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11774 and 6496.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -276\/1085 (b) -0.09 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2. Let m(n) = 12822*n. Give m(k(a)).\nAnswer: -25644*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/6 - 10*d**3\/3 + 83*d**2\/6 + 10*d\/3 - 14 = 0. What is d?\nAnswer: -1, 1, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 4*f**4\/3 - 2*f**3\/3 + 5*f**2\/2 + f. Let k(b) = -4*b**2 + b - 1. Let u(o) = 2*i(o) + 9*k(o). Give u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 10. Let p(r) = -7*r - 21. Let m(q) = 5*h(q) + 2*p(q). Let z be m(-4). What is the derivative of d**3 + 2*d**3 - 2 - z wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(252)*-4 + 0 + (sqrt(252) - -4*(sqrt(252) - (-1 + sqrt(252)))))**2)*4 + 4.\nAnswer: -576*sqrt(7) + 9148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 - (-62 - (-59 + -72)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - f**2 + (-3*f + f + 0*f)*(-f - 11*f + 7*f - 4) as h + r*f**2 + w*f and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5832?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from dakbe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/44*1276\/(-87).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/(-7 + (-300)\/(-42)). Suppose -k = -7*i - 84. Suppose -t + 43 = -3*g, 2*t - 163 = -3*t + 2*g. Which is bigger: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**6\/40 + w**5\/30 - w**4\/12 + w**3\/6 + 2*w**2. Let p be o(1). Is 17 a factor of p + 36\/(-1 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 4*q**2 + 25*q + 109. Let f be k(-4). Let d = -305 - -294. Put -4, d, f in descending order.\nAnswer: f, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 at least as big as 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -9 + 27. Suppose 0 = -o*h + 5*h + 363. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, w: 2, d: 1, y: 1, k: 1, o: 2}. Give prob of sequence dyv.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.7586*368\nAnswer: 279.1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 36. Let u = h + -16.002. Let g = u - -0.001926. What is g rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -472?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1435 and 8435.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 21. Let m = w - -4. Let t = -9.00009 - m. What is t rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -922581?\nAnswer: 922585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000018123703 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 8, -2*j - 6 = 5*f + 2*j. Let h be 3 - ((-15)\/5 + f). Solve 5*v - 5*l + h*l - 6 = 0, v + 2*l = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggt when three letters picked without replacement from {x: 7, t: 5, s: 1, g: 5}.\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -371 - -139. What is the remainder when c\/(-10) - (-1)\/(-5) is divided by 50\/4 - (-1)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 14, 0, -5 in descending order.\nAnswer: 14, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 12. Let m be w(-8). Suppose m*s - 3*n - 86 = 0, 2*s + 2*n = 11 + 25. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3972455 is divided by 524?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x + 1. Let s be ((-28)\/(-10)*(1 - 0))\/(10\/25). Let p(n) be the second derivative of s*n + 0 + 1\/2*n**2. Calculate 2*j(f) - 3*p(f).\nAnswer: -2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-19)\/((-513)\/(-23895))*-15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 1:15 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -104, 198, 966, 2434, 4836, 8406?\n\"Answer: 39*v**3 - v**2 + 32*v - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.37129 to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7117 (base 9) to base 12\nAnswer: -3014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22155 = -3*a + 3*i, 273*a - 277*a = -5*i - 29537. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335, 362, 245, -166, -1021, -2470, -4663, -7750?\nAnswer: -11881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + i + 7587060 = 0, -69*r = -70*r + 4*i + 1896795. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:08 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = 4*g, 74 = 5*b - 2*g. Suppose -y = 4*o - b, 2*o - 20 = -4*y + 4*o. Solve 0 = y*t + 5 + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1499659\/3 + -4498979\/9. Let f = 0.05 + -0.65. Let m = 1 + f. Which is the closest to g? (a) -0.5 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 75\/24*(-32)\/(-80). What is the nearest to 3 in -5, r, 20?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1b0f (base 16) to base 3\nAnswer: -100111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 10) to base 9.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (sqrt(180) + -2 - sqrt(180)))**2.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 20 = 2*n, v - 3*v - 10 = 0. Suppose 2*x + 0*x - 5*s = -63, 5*s = -5. Let u be 2\/9 - x\/9. Solve -n*w + w = -u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Let d be (1 - 1)*1\/2. Let p = d - -2. Solve x - u = p*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2579 + 2067 + 1432 = 0. Which is smaller: -1151\/5 or d?\nAnswer: -1151\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 84 = s + b, 0 = -4*s - 2*b - 88. Let c be 2\/(-3) + s\/(-3). Let d = 18 - c. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -78, 15, 6, -12 in descending order.\nAnswer: 15, 6, -1, -12, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -218*q - 33. Let b be o(7). Let y = 9425\/6 + b. Let x = -3817\/63 - -442\/7. Calculate the common denominator of x and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26321 times -18.9?\nAnswer: -4.974669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 739\/1035?\nAnswer: 739\/1035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 48353.48 weeks?\nAnswer: 29244184704000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/45 + 423\/81. Suppose 83 = 3*s - 5*z + 35, -4*s - 3*z + 93 = 0. Let t be 6\/s - (-10)\/(-35). Solve t*v = a*v + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780 and 214426140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7835952331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 468 or 116?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:30 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.15, -0.2, -1913, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(8556\/(-434))*2\/182\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2334.859 to the nearest 10.\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 28, 5 in decreasing order.\nAnswer: 28, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*f - 64. Let l = f + -26. Let a be 3\/1 + l - -3. Solve -3*d = -12, a*d + 11 = -5*y + 26 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -325*a - 85. Let y be x(-3). Let l = y - 508. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 - 1268*r**4 - 108232*r**3 - 2184532*r**2 - 4049430*r - 1971864 = 0. Calculate r.\nAnswer: -537, -68, -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q - 6 = 0. Suppose -3 = -q*s + 3. Suppose 0 = 3*a + v - 29, -2*a = s*v - v - 20. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 169474.\nAnswer: 5762116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -108 (b) 26 (c) 13\/5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 255*h - 428*h + 213*h to the form r*h + o and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 3*d + 2. Let j be s(-2). Let r be (-11 + 9)\/((-2)\/5). Let o(u) = -u**2 + 9*u - 6. Let v be o(8). Sort r, v, j in increasing order.\nAnswer: v, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013201330 (base 4) to base 5.\nAnswer: 33333423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/14, -0.1, -1\/2, 47?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(10)\/sqrt(5)*4)**2*-1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**4\/12 - 3*r**3 - 13*r**2\/2 - 25*r. Let z be x(19). What is the highest common divisor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.60897 litres?\nAnswer: 8608.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1247 + 1249.607. Let x = t - -0.393. Which is greater: x or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {n: 2, v: 1, c: 5, a: 2, p: 6}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 - 28*q**2\/3 - 299*q\/3 + 3174.\nAnswer: (q - 23)**2*(q + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-three quarters of a day?\nAnswer: 26280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21719 + -21718. Which is the biggest value? (a) 0.3 (b) -4 (c) z (d) -63\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*q + 76*q - 153*q.\nAnswer: -249*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 2210889.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5670 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/4 + 2. What is the closest to r in 0, 1, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -112 + 53 + 367*x**2 + 112*x**2 + 59 in the form i*x + f + s*x**2 and give s.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6393.\nAnswer: 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37336*m*u**3 - 9*u**3 - 27*u**2 - 2 with respect to m.\nAnswer: 37336*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3279, 2231, 1183?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 29*n**2. Let p(a) = -2*a. What is y(p(x))?\nAnswer: 116*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4613237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -22*q**2 - 34*q + 22. Let a(s) = -5*s**2 - 8*s + 5. Let d(i) = -9*a(i) + 2*r(i). Determine d(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 897, 1770, 2645, 3522?\nAnswer: 4401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 13) to base 15\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -65*i - 36. Let u be q(-20). Let a = 474 + u. Let v = -269 + a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a1c - -12b30?\nAnswer: 1384c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 11 + 3 = 4*h, -h - r + 4 = 0. Let x(m) = -m + m + h*m + m. Let b(k) = -3*k + 3. Let y(t) = 3*t - 4. Let d(i) = 4*b(i) + 3*y(i). Determine d(x(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50700 and 2343900?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35514 + -4?\nAnswer: -35520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/9 + 160*d\/3 - 3200 = 0. What is d?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6641717 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 2 = 12. Suppose 4*a - 7 = i. Solve a*q - 4*x + 10 = -q, 2*q - 12 = -2*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:43 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 2*m - 7. Let z be y(-4). Let t be (-4 + 9 - 4)*z. Solve -5 = -2*w + t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/9))\/(y**(-2\/5)*y)*(y\/(y\/y**(-2\/11)))\/y**(2\/3))\/(((y\/(y**(2\/15)*y)*y)\/y)\/(y**(-5)*y)*(y**0\/y)**(-13)) assuming y is positive.\nAnswer: y**(-8681\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10848901*m + 3047007 wrt m?\nAnswer: -10848901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -572292136 or 0.1?\nAnswer: -572292136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 2. Let u be j(5). Let c be (-235)\/(-195)*9 + 4\/26. Let l(p) = 5*p + c*p - 29*p + 2 + 10*p. Give l(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2. Let x(q) be the second derivative of 0*q**2 + 2*q + 0 + 1\/2*q**3. Give x(w(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1464 = 3*h + 69. Does 37 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1050a6 (base 11) to base 10.\nAnswer: -167822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.204 or -123817?\nAnswer: -123817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778127 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: c270 (base 13) to base 12\nAnswer: 13609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 334 + -207. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9814 in 0.02, 4, 0.044?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*f**3 + 10*f**3 - 12*f**3)*(165*f + 2177 + 2173 - 4348) to the form y*f**4 + g*f + u*f**3 + p + w*f**2 and give y.\nAnswer: 1815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 2904?\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6914185?\nAnswer: 5, 43, 32159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 8*o**2 + 6*o + 8. Let q be j(7). Let p be (q + -3 - -3) + 0. Let v be (-9)\/(-15) - 36\/(-15). Sort 0, p, 2, v in ascending order.\nAnswer: 0, p, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -234079 != 2\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -12. Let t = 108205 - 108208. Put -5, t, n, 1\/3 in ascending order.\nAnswer: -5, t, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3189, -3199, -3209, -3219, -3229, -3239?\n\"Answer: -10*o - 3179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203 by 203.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*r**2 + 6488*r + 7892652.\nAnswer: 4*(r + 2433)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 - 2275\/23. Let j be ((-45)\/36)\/(15\/(-18)). Which is the biggest value? (a) j (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3632 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -15*a**4\/4 + 22*a**3 + 78*a**2 - 72*a - 103. Factor h(k).\nAnswer: -3*(k - 6)*(k + 2)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 284 - 285. Which is the closest to 0? (a) o (b) -13 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 14231*q - 5730. Is j(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 293 - 287. Solve -10*j + 7*j = -f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 440 - -3?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -69124 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -153*k**2 + 23*k - 28. Is g(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 65 = -71. Suppose -i*l + 2*h + 15 = -0, -20 = -4*l - 5*h. Solve n = 3*u - 16, l*u - 36 = -n + 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-8 - 0 - -9) + 5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132339 divided by 4?\nAnswer: 132339\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 54739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236237800 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12807, -25605, -38393, -51165, -63915, -76637?\n\"Answer: w**3 - w**2 - 12802*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 0. What is the first derivative of -9*w - 2*w + z + 2*w wrt w?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/7? (a) -2\/17 (b) 0.14 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119*f**2 - 235*f**2 + 100*f**3 + 125*f**2 wrt f?\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 20. Sort o, -1, -2.\nAnswer: o, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/18 + 350\/45. Let r(u) = 1. Let n(j) = -j**2 + 4*j + 7. Let z(i) = -n(i) + 5*r(i). Does 15 divide z(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 11*m**2 - 20*m - 12. What is the units digit of w(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2 + 230202*i + 920856 = 0. Calculate i.\nAnswer: -4, 76738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -128, -159, -204, -263, -336, -423?\n\"Answer: -7*u**2 - 10*u - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4 + 56097*h**3\/4 + 4588083*h**2\/2 - 2339625*h\/4 - 3446325\/2 = 0. What is h?\nAnswer: -4505, -170, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-13\/5)\/y**12*y**(-12)*y**1\/y*y assuming y is positive.\nAnswer: y**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -o + 1, 5 - 1 = 4*o - 3*t. List the prime factors of 58 - 16 - o*4.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 14) to base 4\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -28, 0.01, -4\/3, 7, 0.5 in descending order.\nAnswer: 7, 0.5, 2\/5, 0.01, -4\/3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = 5*k, -3*k + 10 = -k + m. Suppose -k*w + 12 + 0 = 0. Let b be (0\/(144\/(-9)))\/(1 + 1). Solve 0 = 3*n - 4*n - 5*p - 4, b = -4*n - w*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1182 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 - a - 1. Let g be m(-1). Let i(w) = -2*w**3 + 3*w**2 + 2*w - 3. Let b(r) = 2*r**3 - 2*r**2 - r + 2. Give g*b(h) - 2*i(h).\nAnswer: -2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 5*z = 4. Suppose z*b + 2*w - 70 = 0, -3*b = b + w - 71. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/236 and -1\/826?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 2*l - 4. Calculate u(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 2:19 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3 = 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-150)\/1620*(-9)\/195?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m**2 - 4*m. Let z(k) = 1732*k**2 + 1248*k. Let w(i) = 84*o(i) + 2*z(i). What is the second derivative of w(x) wrt x?\nAnswer: 5584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46312 is divided by 43749?\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfg when three letters picked without replacement from agaxafaxaayyaaaaxa.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-19)\/(-14) - 0)\/(-1) and 51\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7669.311 minutes in milliseconds?\nAnswer: 460158660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:16 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -13*g + 15. Let r(u) = 2*u**3 + 0*u**3 - 7 - 3*u**3 + 12 + 5*u + 2*u**2. Let h(f) = -4*f**3 + 3 + 4*f + f**2 + 3*f**3 - f. Give g*h(j) + 3*r(j).\nAnswer: 2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42245619?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n = 5*y + 27*n + 35, 5*y + 27 = -n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24834.\nAnswer: 2, 3, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - -6) + (-764 - -699)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299 and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-2))\/((-75)\/(-350)). Suppose -7 = -7*a + s. What is the greatest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20601 and 52320?\nAnswer: 3296160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((6\/4)\/((-12)\/(-4)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.33 and -133818.\nAnswer: -44159.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(((n**(2\/5)\/n*n)\/n)\/n)\/n)\/n*n\/(n\/(n*n\/(n\/n**(-6\/13)))) assuming n is positive.\nAnswer: n**(-134\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + 2*z**3 + z**3)*((2 + 0 - 4)*(-4*z + 3*z + 2*z) - 10*z + 4*z + 9*z).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98617780 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-2)*x*x)\/x**(1\/6))\/(((x*(x*x\/(x**(-3)\/x))\/x*x*x)\/x)\/x**(-3\/5)) assuming x is positive.\nAnswer: x**(-173\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 77*i + 8626 = 158*i + 155*i for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 20243.9 times 0.02?\nAnswer: 404.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2 + 4 - 3*u**2 + u**2. Let x(f) = -f**3 - 2*f**2 - 41. Let t be x(0). Let w = t + 43. What is s(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.064192398413 - -0.3.\nAnswer: 1.364192398413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/66*12\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 2 = 8*s - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, -1 in ascending order.\nAnswer: -17, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -22*i**2 + 26*i**2 + 106*i - 9*i**2 - 14. Let o be w(21). Solve 7 + 0 = o*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84.98 + 85. Let i = -172851.9800001 + 172852. Let t = i - l. What is t rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1034*k + 4152. Determine x(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 204704736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.1245 or 5224?\nAnswer: 5224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/135*-2*1*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 1\/65, -5, -1\/2, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -4242c?\nAnswer: 42431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e (base 16) in base 15?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 2*n = -g + 5, -3*g + 1 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -43, -3, 5 in increasing order.\nAnswer: -63, -43, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 5. Let d be -2 + -1 - (0 - -1). Let x be k(d). Let s = -227039\/17 - -13355. Which is bigger: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/15)\/(2\/30). Let g be (-339)\/j + 3\/(-12). Is (5 - 1)*8491\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 17. Let t be u(-8). Let f(a) = -27*a - 1. Determine f(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f + 2*f = 21*f + 108 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/7 - 234*p\/7 + 237\/7.\nAnswer: -3*(p - 1)*(p + 79)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.98175 milligrams to micrograms.\nAnswer: 12981.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssxtxxsxsssxtxxs. Give prob of sequence ts.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*m**2 + 1 - 426*m**2 + 4 - 5.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1225\nAnswer: -2\/1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -252*g**2 + 2063*g - 123. What is r(8)?\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-598)\/(-65) - (-1 - (-6)\/5). What is the common denominator of (178\/8)\/1 - 18\/o and -37\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7039 - 7116 + 14129 + 19*i.\nAnswer: 19*i - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7)\/x*x\/(x*x\/(x*x*x**9))*(x**(-3\/7)\/x)**13 assuming x is positive.\nAnswer: x**(-116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 11) to base 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v = -2*v. Suppose 5*h - 5*a = -v*h + 30, 4*a = -12. Suppose -4*u + 27 = 7. Solve u*l - h*l = -4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 89 + 3\/6*-4. Suppose -k = -2*a - 0*a + 5*s, -46 = -a + 3*s. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54216 by -1004.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 144.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 138154 + 10070. List the prime factors of (g\/288)\/((-2)\/(-3))*-3.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + 2 + -6 - 8. Let g = -3 + 2.8. Sort w, g, 0.3 in ascending order.\nAnswer: w, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/15, -2, 66, -18\/5, -28 in ascending order.\nAnswer: -28, -18\/5, -2, -0.2, 1\/15, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 8:52 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 31229204 + -2\nAnswer: 31229202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -413 + 765. What is the greatest common factor of r and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -2*j + v + 45, -v = -99*j - 4*j + 615 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/2 - 95*g**4\/2 + 1055*g**3 + 3455*g**2 + 7105*g\/2 + 2401\/2.\nAnswer: (g - 49)**2*(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/93 and (-11 - -5)\/(429\/26).\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438, -436, -436, -438?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 + 153780*i\/13 - 922608\/13.\nAnswer: -2*(i - 76884)*(i - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 126368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -8. Let m(t) = 2*t**3 + 5*t**2 - 4*t - 5. Let v(f) = 2*f**3 + 6*f**2 - 5*f - 6. Determine j*m(k) - 5*v(k).\nAnswer: 2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111 + 86 - 99)*(-2*m + m + 2*m)*(-m**2 + 6*m**2 - 2*m**2) as g*m + t + h*m**3 + d*m**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 191810 to the power of 1\/2, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-11 - -3 - 1)) + 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - r + r**2 + 0*r + 11*r**2 to l*r**2 + q*r + j and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7625*d + 50673 + 673702 for d.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -55. Suppose 16*s - 13970 = g*s. Suppose k = -k + s. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4963 - -13558. What are the prime factors of x?\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 156*s + 4059. Let l be o(-26). Suppose -2*x - 3*x = 0. Let t be (-1 - x)*(0 - 8). Solve t*w = l*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + d + 73 = -5*x, 5*x + 71 = -2*d. Let k be x*(2 - (4 - 1)). Calculate the highest common divisor of 120 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6048466, 6048468, 6048470, 6048472, 6048474?\n\"Answer: 2*z + 6048464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*x - 0*x + 4*y, 0 = -x - y + 5. Let r(n) = 2*n - 12. Let m be r(x). Let d be m + 1 + 16\/2 - 3. Solve -j = 3*i - 1, -4*i - 4 + d = 2*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8376 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + b**2 - 2*b + 1. Let z be o(-2). Let d be (z + 0)\/(-2 + (-35)\/(-15)). Does 12 divide (-1*15)\/(d\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7. Let c be 3 + 3 + -4 + p. Suppose -3*n + 140 = c*n - 2*u, -5*u - 103 = -3*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 460 = -5*i, -5*n - 3*i + i - 575 = 0. Let d = -111 - n. Solve -x - 2*x = -d*c - 1, 2*x = 2*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*v + 94*v + 9. Solve 4*l = -v*n - 11, 5*l = 3*n - 2*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*i + 4*i + i)*(-1 - 1 - 1)*(-354*i + 1 - 283*i - 314*i + 1068*i) in the form x*i**2 + f*i + a and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 7) to base 16\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -57858, -114993, -172140, -229305, -286494, -343713, -400968, -458265?\n\"Answer: -w**3 - 57128*w - 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, -46, 7, 2\/9, 6, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 + 1\/(39\/1846). Let b(u) be the first derivative of 4*u - 20 + w*u**3 - 22*u**2. Factor b(c).\nAnswer: (11*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3587276 and 11647.\nAnswer: 3587276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 5*g**2 - g - 5. Let d be r(-5). What is the biggest value in d, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/2 at most -344\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3114 - 2485 = 37*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 68, 69?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(162)*2 - sqrt(162))\/sqrt(9))\/(sqrt(216)\/sqrt(4))*-3)**2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2090\/13 equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/22)\/(4\/(-44 + 0)). Solve -b*c + z = -3*z + 14, 10 = -4*c - z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttgjttjctcttcjnc. Give prob of picking 1 n and 3 c.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 79124*r**2 + r - 79124.\nAnswer: -(r - 79124)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -3. Let n = -8 + w. What is the nearest to 1 in n, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqj when three letters picked without replacement from {j: 3, q: 13}?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 541.7 - 542. What is the fifth smallest value in 0.3, h, -4, -1, -0.15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3*(-69)\/(-92). Suppose 4*l + d = 5. Let r be ((-4)\/5)\/(2\/(-10)). Sort r, 3, l in descending order.\nAnswer: r, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 1850 = -2*d. Let w = d + -69. Solve 5*g = 6*g - w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*d - 7 - 1 = 0, -d - 1 = 0. Suppose -n*u - 3 + 21 = 0. What are the prime factors of (-10)\/((-3)\/(27\/u))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.972 + -0.028. Let j = 483 + -485. What is the closest to 2 in -1, y, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6 + 10\/(-4). Let z be (-154)\/(-30) + (-608)\/4560. Let j(a) = 4*a**2 + 11*a - 4. Let t(w) = 2*w**2 + 6*w - 2. Determine b*j(n) + z*t(n).\nAnswer: -2*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -1\/12*r**4 + 2\/3*r**3 + 0 + 14*r + 3*r**2. Give v(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6284 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 - 3*w**2 + 4*w**2 + (w - w - 2*w)*(0*w + w + w) + 7*w - 7*w - 3*w**2 + (-w + 4*w + 31*w)*(3 - 3 + w).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 916831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*a = 267, v - 4*v = 2*a - 179. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/35*21\/(-9))\/(-1 - -3 - -7)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 34*v - 3 = 39*v, 3*v - 8 = -2*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 15 = 4*v, 2*n + 4*v = 2*v - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206 * 1.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-17 + 6 + 7 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21120210111 (base 3) to base 7.\nAnswer: 1161160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -252222?\nAnswer: -252218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Let j be (354\/(-4))\/((-15)\/10). Let g(s) = 477*s + 472*s - j - 947*s. Calculate b(g(q)).\nAnswer: 2*q - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -31*d - 7. Let b be f(-1). Suppose 0 = b*y - 13*y - 2684. What are the prime factors of y?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + -0.18614.\nAnswer: 61.81386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/8 - (-80)\/(-42). Is o >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 - -53 - (-1 - -14)) + 4 - 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 289?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316 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: Sort 30, 5, 3, -5, -3.\nAnswer: -5, -3, 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827944 divided by -11146?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 525972\nAnswer: 525971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -330, -676, -1046, -1452, -1906?\n\"Answer: -2*n**3 - 332*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*t = 6, 0 = -4*u + t - 21 + 4. Let r be (-10)\/u - (-4)\/(-1). Which is greater: -14 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -466173\/59 + 7902. Find the common denominator of z and 44\/9.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 41*o**2 - 258*o - 461. Give a(-47).\nAnswer: -1589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - c + 23, -j + 5*c - 6*c = 12. Let y be 54\/189 - 12\/j. Factor -2\/7*g**3 - 6\/7 + 10\/7*g - 2\/7*g**y.\nAnswer: -2*(g - 1)**2*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 17*z**2 - 17*z + 38. List the prime factors of a(18).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 184? (a) 0.3 (b) -2 (c) 5 (d) -0.3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 5*c**2 + 4*c + 8. Let n be -2*(-1)\/5*-15. Let x be s(n). Let f = x - 1. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16424265?\nAnswer: 3, 5, 11, 13, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z. Let b(d) = 1108*d**2 - 8. Let u(j) = 2214*j**2 - 18. Let s(k) = 9*b(k) - 4*u(k). Determine s(y(o)).\nAnswer: 40176*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -4, 1 in descending order.\nAnswer: 1, -4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, -15, -2, 0, 2 in descending order.\nAnswer: 108, 2, 0, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/21*-63*((-180)\/12)\/(-15).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 36*r**3 - 27*r**3 - 2 to the form a*r**2 + b*r + k*r**3 + l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4806 divided by 6.\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/24 - 23*h**5\/12 - 185*h**4\/8 - 255*h**3\/2 - 11*h**2 + h. What is v in o(v) = 0?\nAnswer: -17, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 254794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 161504 = 5*v + 7*z, -v + 4*z = -32284. List the prime factors of v.\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -31. Is 1183 - -3 - g*(2 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1616130 or -6464521\/4?\nAnswer: -1616130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m = -14*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3121 + 3145 + 3114 - 9380 + 4*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 8:10 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 173*v - 23876. Determine c(138).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -10, 5, -58?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**6\/360 - a**4\/24 + a**3\/3 + 3*a. Let w(l) be the second derivative of h(l). Find the first derivative of w(u) wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1))**2)**(-39) assuming n is positive.\nAnswer: n**(-156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49a5 + -2?\nAnswer: -49a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/180)\/(52\/(-48))*-3*(-2)\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*n - 3431990, -4*a = -8*n + 5*n - 3431985. Round a to the nearest ten thousand.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 7*z**2 + 6*z - 10. What is o(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:54 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -2.4. Let y = 2.9 + z. Let u = y - -3.4. Which is the second smallest value? (a) -0.2 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - p**2 + p + 1507. Suppose 7*w = 5*w. Is d(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1548*o**3 + 24*o**4 + 1548*o**3 + 13*o**2 wrt o?\nAnswer: 576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/42 in 28, -3\/2, 0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516*f**3 + 8132*f**2 + 516*f - 8132 = 0. What is f?\nAnswer: -1, 1, 2033\/129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 8:22 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 587\/6 + 6\/36. Suppose -4*d = -h - 22. Calculate the greatest common factor of d and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0193 * -0.9.\nAnswer: 0.01737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -81 * 46.64\nAnswer: -3777.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/5 and 3\/(1539\/(-42) + 3).\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9\/8)*g\/(g\/g**(9\/5)) assuming g is positive.\nAnswer: g**(27\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 1\/4*a**3 + 5\/4*a + 1\/2 + a**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/5 + 598396*u**4\/5 + 2393594*u**3\/5 + 3590396*u**2\/5 + 2393599*u\/5 + 119680.\nAnswer: -(u - 598400)*(u + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 4*y - 20, -231*y - 10 = -236*y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 o when four letters picked without replacement from ooppoocopc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(3 - 66\/18) - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5926?\nAnswer: 2, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 113\/7 - (-22)\/(-154). Let a = t + -13. Suppose -h - 508 = -2*o + o, a*h - 2548 = -5*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 30117 (b) -4 (c) 2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4989620 divided by -92\nAnswer: 54235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.9 and -112081.75?\nAnswer: 112079.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 27\/5, -0.9, 5, 1\/7, -3 in increasing order.\nAnswer: -3, -0.9, 1\/7, 5, 27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/36 and -79\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 3*f - 21. Suppose 9 = 2*c + d, -5*c - 5*d + 30 = -0*d. Suppose 0 = 2*a - 5*n - 11, a - n + 5 = c. List the prime factors of k(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1.941\nAnswer: -3.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + d. Let p(v) be the second derivative of -v**5\/20 + v**4\/3 - v**3\/6 + 3397*v - 1. Determine p(o) + 2*w(o).\nAnswer: o**3 + 4*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1.029?\nAnswer: -1.029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from vvtkkvkkvvvkvvkkov?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426907?\nAnswer: 13, 32839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21324458 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -1\/14*j**7 + 1\/5*j**6 + 1\/2*j**3 - 1\/2*j**4 - 12*j + 0*j**5 + 0 + 0*j**2. Find l such that s(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-1 + (10 - 8))) + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 522 and 468054?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*l - l. Suppose 20 = 2*c - l. What is the remainder when 40 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.295, -0.5, -365, -1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14577, 14635, 14787, 15081, 15565, 16287, 17295?\n\"Answer: 8*b**3 - b**2 + 5*b + 14565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {z: 4, f: 3, h: 5, o: 1, q: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*d**2*f**2 + 16*d**2 - 15*d*f**4 - 7*d*f wrt f.\nAnswer: -42*d**2 - 180*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cssj when four letters picked without replacement from {s: 3, j: 3, t: 6, c: 2, r: 2}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = 27. Suppose 15*q + 9 - 39 = 0. Put q, -2, o in descending order.\nAnswer: o, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**4 + 1408*a**3 + 99564*a**2 - 1408*a - 99568 = 0. Calculate a.\nAnswer: -254, -98, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Suppose 4 = -4*y + 3*c + 21, 2*c = -t*y. Suppose 0 = -2*z + 2*v + 18, -4 = y*v - 0*v. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -2 (b) -4 (c) -5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21755027, -21755062, -21755097, -21755132?\nAnswer: -21755167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1000 - -1?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**2 - 1168065*o = 0.\nAnswer: 0, 233613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445524463 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let p be m(2). Suppose -p*h = -h - 45. Suppose -5*t = -0*t + h. Do -3 and t have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 388\/327 - 93\/109. Let u = 25\/3 + -8. Factor q*c**2 - u*c + 0.\nAnswer: c*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**9\/504 - 1541*k**7\/210 - 137*k**5\/60 + 11*k**2 + 43*k. What is the third derivative of u(z) wrt z?\nAnswer: 120*z**3 - 36984*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010176 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**4\/4 - p**3\/3 + 2*p + 3. Let b be m(0). Suppose -b*c - 5*z + 29 + 24 = 0, 2*c + 2*z = 38. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -73.86\nAnswer: -147.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v\/(v**2*v))\/v)*v)**(-1\/24)\/(v\/(v*v**(-1\/4)))**15*((v*(v**(-4\/5)\/v*v)\/v)\/(v*v*v*v\/v**(-1\/13)*v*v))**28 assuming v is positive.\nAnswer: v**(-153247\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*w + 16, 120*w - 116*w - 2*c + 26 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 0*z**3 - 2*z**3 + (2*z**2 + 2*z**2 - 2*z**2)*(2*z + 2*z - 2*z) + (-z - 2 + 2)*(0 + 4 - 2)*(-6 + 1 + 15)*(56*z - 28*z + 50*z)*(-3*z + 2*z + 3*z).\nAnswer: -3118*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**3 - 890*s**2 - 6880*s - 13600 = 0. Calculate s.\nAnswer: -170, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 10 = -h, -10 = 3*h - 64619*n + 64623*n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11428 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 165 = 3*r, 660 = 5*j - j - 5*r. Suppose -p = i - 6, -4*p = -2*i - 15 - 33. Suppose -5*q + p*q - j = 0. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 10 = h + 4*p, -4*h - 33 = 2143*p - 2138*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12412814 - 2787935 = 46*s + 161*s. What are the prime factors of s?\nAnswer: 3, 11, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4068 + 7173. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + s - 3 + 3)*((4*s + s - 3*s)*(-3 - s + 3) + (-6*s - 2*s + 3*s)*(6 - 1 - 11)*(-s + 0*s + 0*s)) to the form z*s + n*s**3 + t + l*s**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -24*w - 65. Let b be f(-21). Let q = -248 + b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*z - 665, 2*h - 4*z + 3*z = 441. Let j = 206 - h. Let v(p) = p**2 + 16*p + 21. Give v(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -213589, -213365, -213141?\n\"Answer: 224*r - 213813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a - 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**4\/12 + 7*c**3\/2 + 21*c**2\/2 - 26*c - 1. Determine i(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 4. Let r = -1405 + 1401. Determine p(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*k**5 - k**4 + 15529*k**3 + k**2 + 107867*k wrt k?\nAnswer: 660*k**2 - 24*k + 93174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from speppsepppnpepppe. What is prob of picking 1 n, 1 e, and 1 p?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v\/v**(1\/6))\/(v*v*v*v*(v**(-2)*v)\/v*v*v**(-4)) assuming v is positive.\nAnswer: v**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o**(2\/3))**(-43) assuming o is positive.\nAnswer: o**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971 is divided by 322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/5)\/((-2)\/25). Suppose -5*b = -2*x + 17 + 1, -3*x - 4*b + 27 = 0. Let f = x - c. Is -1 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**4\/12 + w**3\/6 - w**2. Let r be ((-5)\/(-15))\/((-2)\/12). What is the units digit of g(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 + -3377409032\nAnswer: -3377408956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a - u + 197, a - 5*u = 104. Let o = a - 93. Suppose o*l - 8 = 2*l. Solve 5*y + 22 = 2*s, 0 = 4*y - 7*y - l*s - 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10542 - 10502. Calculate the highest common divisor of 4520 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 10:55 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*k**4 - 12*k**2 - 3*k + 3395?\nAnswer: -16*k**3 - 24*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 4)*(-1)\/2. Suppose q = -3*f + 5*f. Calculate the smallest common multiple of 22 and -1 + -13*(-2 + f).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(27) + sqrt(3) + -5*(-2 + sqrt(3)))**2 + (2*sqrt(33)\/((sqrt(66)*4 + sqrt(66))\/sqrt(6)))**2.\nAnswer: -18*sqrt(3) + 2112\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.225501 + 0.226. What is b rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4449, 17941, 40469, 72033, 112633?\n\"Answer: 4518*y**2 - 62*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45163118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 387 + -383. Solve -4*v + t + 8 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 15819*g - 7*g**2 + 15819*g)*(6*g + 2*g + g)*(3 - 1 + 0) to the form p*g**2 + m*g**3 + o*g + v and give o.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 56*r + 974. Determine d(-15).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a hour in minutes?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -21. Suppose 3*s + s - 3*b = 187, -2*s + 96 = -2*b. What is the remainder when s is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = g, 3*g + 42 = -7*q + 2*q. Let o(a) be the first derivative of a**4\/4 + 7*a**3\/3 + 7*a**2\/2 + 2. Determine o(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1068, -2192, -3318, -4446, -5576, -6708?\nAnswer: -7842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -17. Let q be (-2 + s + 17)*8. Let m = q + -4. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1134573 and -41\/55.\nAnswer: 5672865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in 0.69, -148\/9, 4?\nAnswer: -148\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**3 + 0 - 1\/8*v**4 - 1\/20*v**5 + 0*v + 4*v**2. Factor g(q).\nAnswer: -3*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*u + 28 = 5*u, -22 = -2*l - 4*u. Let y(v) = l - 3 + 1. Let k(s) = -3*s - 3. Let h(x) = k(x) - 3*y(x). Let j(p) = -2*p. Calculate h(j(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-24))\/((-4)\/8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51*8\/12 - 4. Let i be 7\/(-2)*h\/(-3). Let b(j) = -j**3 - 12*j**2 + 20*j - 7. Let u be b(-14). Calculate the highest common factor of u and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -431 or -452?\nAnswer: -431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/9 - 10*h**2\/3 + 16*h - 224\/9.\nAnswer: 2*(h - 7)*(h - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9103804 to 3 decimal places.\nAnswer: -1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 7210347361?\nAnswer: -7210347359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/7 (b) 7\/6 (c) -168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-266)\/(-49) + (-2)\/(-7). Suppose 0 = -4*h - 4*d + 428, 0*d - d + 217 = 2*h. What is the highest common factor of y and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggtppuugttuuspputuu. What is prob of picking 1 s, 1 u, and 2 g?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14313 (base 5) to base 7\nAnswer: -3344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44014081?\nAnswer: 44014081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 248443 divided by 5\nAnswer: 248443\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m. Let g be 203\/7 - 3*-1. Let o(q) = -32*q - 6*q**2 + g*q. Calculate k(o(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -2. Suppose -x*y + 9 = -2*y. Suppose -1\/4*p**5 + 3\/4*p + 1\/4 + 1\/2*p**2 - 3\/4*p**4 - 1\/2*p**y = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*b**5 + 2*b**4 + 7*b**3*g + 400*b**3 + 3*b**2*g - b**2 - 123*b*g - g + 14 wrt b?\nAnswer: 2100*b**2 + 48*b + 42*g + 2400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.03 in 3\/8, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 5*f + 53, -128*r + 123*r = 3*f + 50 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 8. Let d(k) = k**3 - 5*k**2 - k + 2. Let n be d(5). Let y be n + -1 - (1 - 5). What is c(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -80. Find the common denominator of (-26)\/8 - (-1)\/(-2) and ((-13)\/13)\/(d*2\/300).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 50 (c) 2\/5 (d) 0.04 (e) 2 (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 12 + -2 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 55 = -3*a - 3*m, -6 = -2*m. Let s be (6\/5)\/(a\/(-250)). Factor s - 2*x**3 + x**5 + x - 15 + 0*x**3.\nAnswer: x*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -2 - (-179 + 181)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 2 - (5 - (-3 - -21)). Suppose 41 - 5*z**3 - w + 5*z**4 + 5*z - 19*z**2 - 16*z**2 = 0. Calculate z.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10978.07033 rounded to zero decimal places?\nAnswer: -10978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*i + 3*w = 1545, -4*i = -7*i + 11*w - 13*w + 37 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/30)\/((-1)\/15). Let h(b) = 1. Let x(a) = -a**2 + a - 6. Let y(z) = k*h(z) - x(z). What are the prime factors of y(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 160*t + 357*t - 7238 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -5. Let b(c) = -2*c + 5. Let a(s) = s - 1. Let v(n) = -a(n) - b(n). What is the smallest common multiple of t and v(12)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 14) in base 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5406 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 2375264.\nAnswer: 11876320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 763 - 943 - 3*z**4 - 22*z**4 - z**2 wrt z.\nAnswer: -100*z**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121021 - 3?\nAnswer: -121030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -20, -62, -152, -308, -548, -890?\nAnswer: -1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-1))\/12)\/((-94)\/2632).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 5*i**2 - 206*i + 5. Let u(w) = w**3 + 8*w**2 + 306*w - 8. Determine -5*u(h) - 8*x(h).\nAnswer: 3*h**3 + 118*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-3) + -1 + (-108)\/81?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 * -0.9841407.\nAnswer: -43.3021908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -851, -1899, -3363, -5243, -7539, -10251?\nAnswer: -13379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -8) + 1 + (-3 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (23*(-10)\/(-4140))\/((-6)\/88)?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10971 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -4.1, -0.095.\nAnswer: -4.1, -0.095, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38389397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/5 (b) 2 (c) 55 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 10*y**2 + 7*y - 3. Let w(c) = 3*c - 33. Let g be w(8). Let z be a(g). Is 3 a factor of (z\/(-6))\/(-1)*(-36)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -6*f + f. Let x be 248\/f - (-105)\/(-63). Let s = x - -99. Round s to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1419256588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2, 22\/67?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 7)\/(3\/2). Let y(h) = -h**3 + 6*h**2 + 3. Let i be y(6). Suppose -2*f - i*f = -2*n + 25, 0 = x*f + 6. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5\/3 - 23*x**4\/3 - 19*x**3\/3 + 67*x**2\/3 + 20*x\/3 - 44\/3 = 0.\nAnswer: -22, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3807 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k**3 - k**2 + 1. Let w be i(1). Let x(c) = 5*c - 3. Let n(h) = -h + 1. Let j(v) = -6*n(v) - 3*x(v). Let y(r) = 4*r - 1. Give w*y(o) + 3*j(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 742139.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, 0.18, 4, -20003?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.464 and -94.3.\nAnswer: 43.7552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 7:43 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -9*c**6\/10 - 9*c**5\/2 - 13*c**4\/4 + 10*c**3 - 6*c**2 + 12*c. Solve y(s) = 0 for s.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 40*a - 45*a = 35, 5*a = -7*z - 43 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*106.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2680020.\nAnswer: 2, 3, 5, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r**5 - 610*r**4 + 425*r**3 + 1120*r**2 - 900*r = 0 for r.\nAnswer: -18, -10\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 7*b**2 - 5*b - 4. Let s be l(6). Suppose 11 = h + s. Let x(y) = -y + 72. Let t be x(0). Calculate the greatest common factor of t and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 2748664911?\nAnswer: -2748664910.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (3 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 = 2*j - 6*j, 4*j + 22 = 5*c. Suppose -4*g = 2*z + 6, 5*g + 2*z = -0*g - c. Let l be 2\/5 + (-4)\/10. Solve l*m + 2*m + 6 = g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 82, 73, -4 in descending order.\nAnswer: 82, 73, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -17\/10413913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101\/7 - 8. Let d be (-6 + 4)*(-6)\/4. Find the common denominator of u and ((-300)\/27 - -2) + d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 27 = -2*z + 90, m + 2*m + 2*m + 53 = 3*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.64023 litres in millilitres?\nAnswer: 79640.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -607 + 602. Let f(w) = 3*w - 4*w + 4 + 2*w. Calculate f(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104700 (base 8) to base 3.\nAnswer: -1210101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/349 and 19\/4.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1740959?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Let s(b) = 3 - 3 - v*b + 2*b. Let z(i) = 3*i**2. What is z(s(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -614*y + 10. Let d be s(-5). Suppose d = 7*u - 0*u. Let x = u - 118. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*c**2*g**3 - 77932*c**2*g + c**2 - 8*c*g**3 + c*g - 2*c - 10*g**3 - 301*g**2 wrt c?\nAnswer: 18*g**3 - 155864*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**6\/40 + z**3\/3 + 3*z**2. Let w be i(2). Suppose 2*b - 3*f = -0*b + w, 10 = 2*b + 5*f. Solve 4*a = -a + b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-3))\/4)\/(9\/(-8)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 306.9 times -217?\nAnswer: -66597.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5 - 2200*z**4 - 160000*z**3 - 4640000*z**2 - 60800000*z - 300800000.\nAnswer: -4*(z + 20)**4*(z + 470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2446410 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 0.3 (c) 0.006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u**2 - 61*u - 42. What is p(-5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - 4) + (1 - 7 - (49 - 53)) + -11.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 3\/5 (b) -6 (c) -2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152, -2220, -6166, -11686, -18780, -27448?\nAnswer: -37690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x. Let r = 0.041 - 3.141. Let p = -1.9 + r. Which is the nearest to 1\/4? (a) p (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -97771.\nAnswer: -3910.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6413345.4 to the nearest 1000.\nAnswer: 6413000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189) - (2*sqrt(189) + sqrt(189)) - sqrt(189))*6)\/(sqrt(18)\/(sqrt(18)\/sqrt(3))))\/(6*(sqrt(1089) + sqrt(9)) + (sqrt(324)*3 - sqrt(324))).\nAnswer: -3*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027065 is divided by 171163?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 (base 11) in base 16?\nAnswer: -11e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 5*h - 13. Let z(o) = -o**3 - 3*o**2 + 3*o + 1. Let u be z(-3). Let w = u + -1. Does 18 divide n(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*r**3 + 68136*r**2 - 11718078*r wrt r?\nAnswer: 138*r + 136272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-20) + (-28)\/(-16). Let w be 5\/35*158 - (-12)\/(-21). What is the greatest common divisor of v and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 140\/(-44) - -3 - (-458)\/(-22). Let o be 6\/10 - (q\/(-35) + -4). Suppose 0 = -2*c + c. Sort -4, c, -5, o in increasing order.\nAnswer: -5, -4, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -21*j - 85 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from {j: 2, v: 16}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126451 is divided by 331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5157*m + 242. Let b be v(-20). Let p = 50419993\/490 + b. Find the common denominator of p and 17\/12.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 416 - 200 = 0. Let a(m) = 23*m**2 - 4*m + 3. Let p be a(1). Calculate the greatest common factor of j and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 3:42 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/5, 72, -0.4, 22\/9, -2\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minus -28.9?\nAnswer: 77.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 7)*(4*r**4 + 14 - 2*r**4 + 15) + 2*r**4 + 3*r**4 - 4*r**4.\nAnswer: -23*r**4 - 348","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 6) in base 10?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 889420.7 millennia in months?\nAnswer: 10673048400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e5 - 2d?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 36\/16)\/(-89 + 95). Let q(s) be the second derivative of -1\/40*s**5 + 1\/4*s**2 + 1\/12*s**3 + 3*s - a*s**4 + 0. Factor q(l).\nAnswer: -(l - 1)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 95. Let j = l - 47.000027. What is j rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 0*l + 16 + 33*l - 9*l - 12*l. Is 25 a factor of y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 2*f - 1. Let z be -2 + 3 - (-2)\/2. Let r be s(z). Suppose 0 = -2*h - 10, -2*n - 5*h = 1 + 14. What is the third biggest value in r, 0, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1695766605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*d**2\/3 - 100*d\/3 + 16\/3 = 0. What is d?\nAnswer: -4, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18219 + 24110. Solve -5881*u = -y*u + 90 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -7. Let q be (-52)\/d + (-6)\/(-21). Suppose -q*n - 3*k = -64, -5*n + k = -n - 48. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16947 and 18459.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25010183 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)\/o)**(-10))**(-20\/3)*((o\/((o**10\/o)\/o))\/(o**(-6)*o))**(-1\/63) assuming o is positive.\nAnswer: o**(-20998\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29389\/44088 + -1\/14696. Let p = 0.2 + 0.8. Sort c, p, -1\/4, -5 in descending order.\nAnswer: p, -1\/4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5981693, -5981699, -5981709, -5981723, -5981741, -5981763?\nAnswer: -5981789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2102122 (base 3) to base 14\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r - 18. Let c be t(-9). Calculate the highest common factor of 90 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -13*a - 2. Determine x(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/2 (b) -199 (c) 2\/17 (d) -3 (e) 2\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -44, 0.2, 3, 0.5, 3\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 != 465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 0 + (-700413)\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261261 to the power of 1\/2, to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 2*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3514 + 3512.389. Let u = l - -1.6. Round u to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2004341 + 9?\nAnswer: 200434a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 857696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - -16522?\nAnswer: 164d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1724578355?\nAnswer: 5, 313, 1101967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7 + 0 - 6*p**2 + 5*p**2 + 8*p. Suppose 2437 = 4*v - 5*a + 2381, -2*a = 0. What is the remainder when v is divided by q(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 70 - 79 = -7*l, 2*l - 15 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9523 (base 13) in base 11?\nAnswer: -229015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 26. Determine v(11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 10*q - 21. Let t be h(6). Suppose -o + t*y + 12 = -28, 3*o - 133 = -4*y. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610918 is divided by 4459?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, e: 6, k: 6}. Give prob of picking 3 k.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 472081653 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 15. Suppose t + 13 = 2*j, t + 4*t - 23 = -j. Let h = j + z. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5726*c**3 + 11475*c**3 - 5705*c**3.\nAnswer: 44*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amgwuwt. Give prob of picking 1 m, 1 t, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -2\/3*a**3 - 5*a - 2*a**2 - 53. Let b(n) = -n - 1. Determine -3*b(y) + c(y).\nAnswer: -2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f - 2*q = 32*f - 11552, -q = -3*f + 8649. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2285682.\nAnswer: 2, 3, 7, 54421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/28 - 2\/(-7). Let o = 32 - 131\/4. Let t = -6\/299 + -287\/598. Which is the nearest to t? (a) -1\/2 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9757.763 years in centuries?\nAnswer: 97.57763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8 = 2*b, b - 2 = -4*z + 3*z. Let w be b*((-2)\/2)\/1. Suppose w = -2*q - 1 + 77. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 11.\nAnswer: -8, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10930, -10931, -10932, -10933, -10934, -10935?\nAnswer: -10936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/39, 0.4, 382, 4?\nAnswer: 382","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 5, -5, -1747 in decreasing order.\nAnswer: 5, 3, -4, -5, -1747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*(-1 + -4 - -11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 344?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*r + 7 = -6*r, 2*l - 3 = -r. Let i = 19 + l. Let f = 16 + 23. What is the remainder when f is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -85*k**2 - 45*k**2 - 500*k**2 - 3*k**2 - 372*k**2. Let f(x) = 2*x**2. Give s(f(v)).\nAnswer: -4020*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**2 - 2*g. Let z(q) = 3*q. Calculate f(z(p)).\nAnswer: 72*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 10717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 805648894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -16. Let i be n\/24 - 17\/4. Let z(a) be the third derivative of -a**4\/24 + 2*a**2. What is z(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*c + 46*c - 2050 = 0. Let k be (-1)\/3*48\/(-8)*1. Sort c, k, 0 in descending order.\nAnswer: k, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*n - 546, 6*n = s + 5*n - 267. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -22*c + 932. What is the remainder when 93 is divided by p(41)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1, 4, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611*s + 613*s - 1217*s + 1.\nAnswer: 7*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-63)\/(-18) - (0 + 2\/(-4)). Suppose b*v + 11 = 5*j, 2*j - 9 = -5*v + 2*v. Suppose -3556 = j*p - 7*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -3*u**4\/4 - 19*u**3 - 120*u**2 + 300*u + 47. Factor k(t).\nAnswer: -3*(t - 1)*(t + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**4\/6 - m**3\/6 + m**2. Suppose -2*n + 4*n = 4*r - 24, 0 = -4*n. Let v(b) = b. Give r*v(j) - i(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1\/99 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 273248 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-56)\/(-16) - 1)*4\/5. Suppose w*z + 14*z = 240. Calculate the remainder when 70 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/32)\/l**(2\/47))\/(l**(-5\/3))**(-2\/15) assuming l is positive.\nAnswer: l**(-2315\/13536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 6\/11, -27, 3785, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51443\/600 - 503\/100. Let s = b + -487\/6. What is the common denominator of -77\/6 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23466 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: Product of 2 and -810442.\nAnswer: -1620884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(162)))**2 + sqrt(12)\/(sqrt(18)\/sqrt(3)*-1).\nAnswer: 143*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**5\/30 - g**4\/4 - 7*g**3 + 2*g**2. Is 3 a factor of n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6 and 26\/2055.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - y**3 + 5)*(((-1 - 3 + 2)*(2 - 4 + 3) - 2 - 2 + 1 - 6 + 0 + 3)*(30*y + 21 - 21) - y + y - 4*y).\nAnswer: 244*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2 + 96. Let k(z) = -8*z**2 + 95. Give -7*k(g) + 6*x(g).\nAnswer: 2*g**2 - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3*v + 9, 0 = v + v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 75\/8 of a second?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24))\/((-9)\/27)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 542 - 122 = 0. Let m = 9 - 5. Is 2\/m + x\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*k)*(4*k + k**2 - 3*k**2 + 4*k**2)*(k + 35 + 39 - 10) as j*k**2 + l*k**4 + t + p*k + u*k**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1 - -1) + -1. Sort -4, -3, f, 0.05 in decreasing order.\nAnswer: 0.05, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 (base 8) in base 2?\nAnswer: -1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3990 != -3989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 504, 473, 392, 237, -16, -391, -912?\nAnswer: -1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (213\/(-16))\/((-81)\/36) and 615\/(-18)*(-3)\/20.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143465 a multiple of 1520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(6 + ((-6494)\/2166 - (49 + -46)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 376\/92 - (-8)\/(-92). Let o = 9 - 5. Does o = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 5 (c) 2 (d) -12\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/3, 7, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 377 and 4118?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.014869l?\nAnswer: 14.869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11100468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4394 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 5*k - 27. Determine o(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -197664143 - -0.07?\nAnswer: -197664142.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294 - 180 + 453*r - 114.\nAnswer: 453*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 k when four letters picked without replacement from wkwtwkwtkxqw.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88142 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000208602 rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.6529 millilitres in litres?\nAnswer: 0.7886529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**5 - 6*k**4 + 2*k**3 + 6*k**2 + 4*k. Let i(y) = -y**3. Let q(x) = -4*i(x) - v(x). Factor q(n).\nAnswer: 2*n*(n - 1)*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 2. Let p be u(-2). Solve -3*q - 2*q - 3*x + 14 = 0, 2*q + 4*x = p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 35446068?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(539) - (-1 + sqrt(539)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/63112 and -99\/5768.\nAnswer: 6500536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 7*c + 2. Let f = -4 + 4. Suppose -5*r + 2*l + 37 = 0, -3*l - 3 + 0 = f. Let u be o(r). Solve -2*i = -2*b + 2, u*i + b + 5 = -0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -7*l**6\/30 + 5*l**2\/2 - 2*l. Find the first derivative of x(q) wrt q.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 52.9, 0.5, 1\/22, 0.03, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96099.63 millilitres to litres.\nAnswer: 96.09963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 337045*k**3 - 45822?\nAnswer: 1011135*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + k + 4*k - 5 = 0, -5*w = -3*k - 5. Suppose 0*s + 5 = s. Let x = s + w. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhfffffhhqff. Give prob of sequence qf.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 4*w. Let s(v) = v**2 + 3*v - 4. Let c be s(-4). Solve w = -c*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 5 - (-1 - -4). Suppose 0 = -3*w - q + 21, -4*w + 28 = 2*q - m. Is (0 - -1) + (w - -87) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034402 (base 5) in base 4?\nAnswer: -10122312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -13, -8, 5, 26?\n\"Answer: 4*s**2 - 15*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*b**4 + 9*b**3 - 7540*b**2 wrt b?\nAnswer: -2088*b + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -209 - -714. Let u be (a\/15 + -3)*6. Let b = u - 31. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0 + 0 - (21 - 15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide (5\/10*-2)\/((-1)\/500)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 3 = -15*p. Let v be 1\/p*15\/1. Let a(i) = i**3 - 6*i**2 + 2*i + 6. Give a(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0*b**3 + 0 - 3\/2*b**2 + 1\/4*b**4 + 2*b. What is h in n(h) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 377\/9)*-3. Let b = 117 + g. Factor 0 - b*t + 1\/6*t**2.\nAnswer: t*(t - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64235 is divided by 1129?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 16*p**2 - 7*p + 8. Let w be m(-14). Let t = -284 - w. Let q(j) = j - 3. Calculate q(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*k = 161*k + 113*k - 5586 + 1975 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.31 in -1, 0.3, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3101288572.\nAnswer: 2, 775322143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 8*u**2. Let k be g(8). Suppose v = -k*v. Suppose -4*j + 20 = -v*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 2)*(-1 + 1 - 3*t**2) + (-347*t + 83*t + 105*t)*(2*t + 3*t - 6*t).\nAnswer: 147*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 1\/8 (b) 6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 630846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 2*f + 3*f)*(-19 + 1 - 4)*(-2*f**2 + 0*f + 0*f) + (2*f + 0*f + 0*f)*(-f**2 + 0 + 0) as o*f**2 + s*f + q + x*f**3 and give x.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/4)\/(10\/(-70))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/(-15) + -7)\/((-1)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or 13?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 4*g - 4, -g = -2*d + 5. What is the tens digit of d*(2\/4*62 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1314 + 2075 = 0. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) -3 (c) -2\/3 (d) -6\/1117 (e) -66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/300 and 79\/578040.\nAnswer: 2890200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-19) + (5 - (-15472)\/(-3192)). What is the closest to -2 in -0.5, -5, -0.3, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -296312043*c**3 - c**2 + 29477121*c wrt c.\nAnswer: -1777872258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -122*u**3 - u**2 + 6*u + 21. What is the tens digit of r(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 0*u**2 + 2\/3*u**4 + 2\/9*u**3 - 6 + 0*u. Let t(l) = 0. What is l?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 311774.21 to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 3*c**3 - c**2 - 7*c**3 + 4*c**3 - 20*c**3.\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 129\/(-15) + (-9)\/(-15). What is the remainder when 12 is divided by (-2)\/r + (-27)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) 5 (c) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*r - 81*r - 3*n + 10 = 0, 4*r = 4*n - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)*m*m**(-11))\/(m**(-1)*m**3) assuming m is positive.\nAnswer: m**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842996 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1258 + 8467a?\nAnswer: 85916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 16*k**2 - 17*k - 27. Let b be f(-15). Does 12 divide 36\/((9\/(-6))\/b*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 309 and 34093.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1367 + -0.1767. What is the second biggest value in p, 0.5, -7\/2, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 56 and 13256413133559.\nAnswer: 13256413133615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-16)\/(-20)*(-200)\/(-40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 - -125. Suppose 0 = -5*g + 3*g + 42. Let x be 10\/(-14)*g\/(-18). Put x, d, 1\/3, 1 in descending order.\nAnswer: 1, x, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-2)*15\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -2 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0.1. Let m = 473 + -338. Let s = 134.9 - m. What is the nearest to -0.1 in -4, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07300495 to 4 dps.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = 0, -1 - 9 = -4*h + m. Which is the nearest to 1\/4? (a) -0.4 (b) h (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246402 divided by 41067.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -4*-4*(sqrt(6)\/sqrt(3) - sqrt(2)))*-2)**2 + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*c + 15, -c + 4*d + 2 = -3. Suppose 5*s - 6*m + 15 = -3*m, -2*s - 25 = -c*m. Let i(q) = 5*q. Let o be i(4). Solve s = -t + 6*t - o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(31\/((-465)\/45)*1\/(-3)))\/(-22).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5 - 3 + 0*u - u. Suppose -4*j = -2*s - 18, 3*s + j = 4*s + 6. What is the units digit of f(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113786820 and 23955120?\nAnswer: 455147280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3915198 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 7*s + 4. Let l be r(7). Let t = l - 2. Solve t*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 1. Let c(d) = -2*d - 74. Calculate y(c(m)).\nAnswer: -2*m - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002491401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/(-240) + 2\/(-8) + (-94)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 3 = p - 2*s, -4*s + 23 = 3*p. Let m(d) = 105*d - 2 - 120*d + p. Let z(u) = -46*u + 22. Let g(j) = 10*m(j) - 3*z(j). Differentiate g(c) wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005503 rounded to 7 decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = k + 278826, -1776*m + 1772*m - 4*k = -223080. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30659997 and 91979991.\nAnswer: 91979991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -147*x. Let d(y) = 18*y + 1. Give k(d(c)).\nAnswer: -2646*c - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -34 + 4. Suppose i*v - 77 = -2*v. Calculate the greatest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1095193 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Let o be (q - 4 - 0)*-2. Suppose -g + 0 = o. Is g < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 21 - (0 + -10 + 4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221101110210 (base 3) in base 11?\nAnswer: -977aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -9*x + 228. Let h be 20\/(-3)*(0 - x). What is the remainder when 43 is divided by (-2)\/10 + h\/25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g + 64. Let a be b(-20). Solve -3*t - t = -a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 7. What are the prime factors of 3\/((-336)\/(-327) + k)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13217707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 20337011.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29349339119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 40*a - 18. List the prime factors of m(6).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/45*-1)\/(33\/(1386\/140))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*w + 16, -3*i + 1 + 1 = -5*w. Let m(n) = n + 9. Let s be m(-7). Suppose -f = -4 + s. Does f = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-5) - 12\/30. Let t be (w\/2)\/(-3) + -19. What is the units digit of (-185)\/t - 1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 121 = 2*q + 41, 5*q - 65 = 10*g - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - n + 3. Let i be k(0). Suppose -73 = -i*o + 134. Is o - (7 + -1)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 48 = -18*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 1\/4*c**4 + 14\/3*c**3 + 30*c + 180 + 15\/2*c**2. Give a(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7 + 3*t + 3 + 7. Give v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24982 = -5*j - 40298. Let a = 130443\/10 + j. What is the common denominator of (-115)\/8*2\/(-20) and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 564.03 - 560. Let w = -4 + l. Let y = w + 0.07. Which is greater: y or -2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*y + 7*i + 25, 0 = y + 2*i + 4. Suppose -r - r = -y*f + 64, 4*r = 5*f - 124. Let o = -34 - r. Calculate the greatest common divisor of 38 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**3*m**3 + 2*f**3*m**2 + 50*f**2*m**3 - 8263*f*m**2 - 2*m**3 wrt m?\nAnswer: -6*f**3 + 300*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -229, -706, -1417, -2362?\n\"Answer: -117*a**2 - 126*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8019573.3499924 + -8019572. Let c = o - 1.35. Round c to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 18 + 70. Calculate the remainder when 29 is divided by x + (4\/2 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 298 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa (base 12) to base 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3523 or 3527?\nAnswer: 3523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7897156, -7897152, -7897146, -7897138, -7897128, -7897116?\nAnswer: -7897102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*f - 110 = 0, f + 59 = g + 2*g. Let i = 26 - g. Suppose j - i = -3*y, -4*j + 18 + 0 = -2*y. Solve 0 = -4*d + b + 18, 2*b - 24 = -j*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18) + -1)*1 + 2)*-1)**2 + 5*(sqrt(6)\/(sqrt(9)\/sqrt(3)) + (sqrt(36)\/sqrt(2))**2 + 0).\nAnswer: 11*sqrt(2) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:09 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 138 - 23 = -3*f + 37 + 44, 5*z - 226 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78538571 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(77)\/(-3*sqrt(11)) + sqrt(63)\/(sqrt(36)\/sqrt(4)))**2.\nAnswer: 4*sqrt(7) + 109\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - 7) + (-10 - -24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*v**2 + 246*v**2 - 183*v**2.\nAnswer: -110*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 387\/4, 159, -9, -3?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 31*o**3\/3 - 7*o**2\/2 - 51*o - 11. Let t(h) = 15*h**2 - 3*h - 26. Let n(p) = 6*l(p) - 14*t(p). Differentiate n(s) wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -137232.\nAnswer: 5\/137232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 153 + 752?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyypzyzp. What is prob of sequence pzyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 2, 4, -2, 3, 29 in decreasing order.\nAnswer: 29, 4, 3, 2, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (-4 - -2) - 2. Suppose -u = -3*a - 2*u + 232, 0 = 5*a + o*u - 385. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 2)*(2 + -5). Sort -1, 0, -3, n.\nAnswer: -3, -1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 418.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -684797\/4200 - -2281\/14. Calculate the common denominator of -37\/8 and h.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -354516, -6, -2 in ascending order.\nAnswer: -354516, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*110\/15. Let b = k + -8. Suppose 505 = -0*t + 3*t + 4*l, b*l = -3*t + 504. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17253 and 13780044?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5283679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 318104217 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19917 + -1693.\nAnswer: 18224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 44. Suppose 5*j + v = 0, -b - 4*b = 5*j - 5. Suppose b + 2 = u. Calculate the remainder when 14 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let t = 3.23 + -1.23. Sort z, t, -1\/11 in decreasing order.\nAnswer: t, z, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a century in months?\nAnswer: 16080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(833)*-1 + -3 - sqrt(833)).\nAnswer: 12 + 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*l + 5*m, 3*l - 2*m - m - 9 = 0. Sort -4, 7, l in increasing order.\nAnswer: -4, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*i - 2*i = -505, -i = -2*c + 214. Calculate the highest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*r + 284*r + 2*r.\nAnswer: 435*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(sqrt(76) - (sqrt(76) + -1)*-2)**2.\nAnswer: -24*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/37 - -34\/111. Let c be 11\/6 - (-1)\/(-6). Let m(k) = k**2 - 4*k + 6. Let w be m(2). What is the closest to c in h, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 7*n**3 - 18 - 8*n**3 + (-33 - 13 + 4)*(n**3 + 0*n**3 + n**3).\nAnswer: -86*n**3 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20310 by 6770.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {k: 3, z: 4, n: 2, s: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9. Let f(g) = g + 3. Suppose -m + 9 + 0 = 0. Let k(c) = m*f(c) + 3*o(c). Let s(h) = -2*h. Give k(s(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.0362, -3, -5.44 in decreasing order.\nAnswer: -0.0362, -3, -5.44, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 7*q - 11. Give g(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1515*q + 751*q + 763*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -27, 4, -2\/3, -3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 15*j**2 - 3*j - 44. Let v be t(-15). What is the second biggest value in -1\/2, v, 0.2, -6.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12423276870 rounded to the nearest 1000000?\nAnswer: 12423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/23, -0.3, -7, 1\/5, 0.5, -5 in decreasing order.\nAnswer: 14\/23, 0.5, 1\/5, -0.3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3)**(-3\/31) assuming g is positive.\nAnswer: g**(-9\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-248)\/(-186)*(-4 - 102207\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqeqeq. What is prob of sequence qqe?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8335912015415 and -0.23?\nAnswer: 8335912015414.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11586969 to the power of 1\/2, to the nearest integer?\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-144)\/(-40))\/(11767\/(-35490) - (-5)\/15) is divided by 675.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/3 + 3189*z**2 - 28662*z - 114696 = 0.\nAnswer: -3, 12, 9558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - w + 3*w + 0*w + 2*w**2 - 3. Does 8 divide f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*r**3 + 255*r**3 + 257*r**3.\nAnswer: 320*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13688 and 26332.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 <= -653\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)\/z**(2\/5)*z**(-1\/2)\/z**(-6))**(-17) assuming z is positive.\nAnswer: z**(493\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318671 is divided by 783.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmtmtmtkmtttt. Give prob of picking 2 t and 1 k.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 23278*-3\nAnswer: -69834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5 = 3*s, -3*r - 2 = -0*r + s. Let p(n) = -n**2 - 5*n - 3. Let q be p(-4). Put q, 4, r in increasing order.\nAnswer: r, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 65*g - 67. What is z(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*s + 167*s = 4677 + 5003. Solve -5*y + s = -4*l - 5, -2*l = 5*y - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Let l be (-124)\/(-8) - 9\/(-6). Suppose l - k = 3*w. Sort w, 3, -2 in increasing order.\nAnswer: -2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/((99\/126)\/11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 + 9\/3 + 7. Let g(k) = k**3 + k - 1. Let j(n) = -3*n**3 + 7*n**2 + n. Let q(f) = p*g(f) - j(f). Calculate q(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 19*t**2 - 13*t + 72. Let s be d(8). Which is smaller: -228 or s?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12144 = 266*g - 972 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1053*g - g**3 + 1106*g + 3*g**3 + 8*g**3.\nAnswer: 10*g**3 + 53*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*j + 5*j. Suppose -3*s - 14 = -2*c - 0*s, 0 = c + 5*s + 6. Let p be 4\/(c\/j) - 1. Sort -1, p, -2 in increasing order.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5390*u - 139629 = -903*u - 356*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 178, 910, 2460, 5092, 9070?\n\"Answer: 44*a**3 + 145*a**2 - 11*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13348b (base 13) to base 10.\nAnswer: 464358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10739869 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*u - 3*r - 18 = 322*u, -3*u + 3*r = -18. Let q be (-3)\/(-3*(-5)\/(-2)). Determine v, given that u + 2\/5*v**3 - q*v + 0*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 17. Let i = -9 + r. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 249*o**2 + 4*o. Let t(a) = 3*a**2 - 2*a. Let h(j) = -5*n(j) - 10*t(j). Determine p, given that h(p) = 0.\nAnswer: -243, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 28*k + 13. Let w be 1\/(28\/8) + 61\/7. Let g(s) = -7*s - 3. Determine w*g(d) + 2*i(d).\nAnswer: -7*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1\/2)*m)\/m)**(1\/12)\/((m*m**(-3))\/m**1))\/(m**(2\/11)*m*m\/(m**(-3)*m)*m**1*m*m**(-1\/10)) assuming m is positive.\nAnswer: m**(-4013\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 500622 + -3994221\/8. Let o = i - 1344. Determine r so that 3\/2 + o*r**3 - 3\/2*r**2 - 3\/8*r = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -3\/4 (c) -0.4 (d) 2\/5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 713 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/3)\/((-49)\/(-42)). Solve -2*l + 12 = 2*z, l = -k*z - 0*l + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4728, -9296, -13870, -18450, -23036, -27628?\n\"Answer: -3*p**2 - 4559*p - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:48 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1251*i + 95101. What is g(76)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6569 and 3?\nAnswer: 2.3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 9:14 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 669715027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057083459 to 7 decimal places.\nAnswer: 0.0005708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-12) + ((-39791571169)\/102)\/49. Round u to the nearest ten thousand.\nAnswer: -7960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - k + 9, v + 3*k + 6 = 13. Let o be ((-45)\/6)\/(-15)*v. Let a(n) = -n + 1. Determine a(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -1651513?\nAnswer: -1651513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*9\/12)\/(3450\/(-4140)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*22\/(-1320))\/(-3*(-2)\/54)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 8:02 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -1027, -2333, -4167, -6529, -9419, -12837?\nAnswer: -16783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t + 1\/6*t**3 - 3*t**2 + 0. Let x(i) = i - 5. Let b(n) = -5*p(n) + 6*x(n). Let k(d) = -2*d. Calculate b(k(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -95, -166, -269, -416, -619, -890, -1241?\nAnswer: -1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3941158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2553, -5, -11, 1 in ascending order.\nAnswer: -2553, -11, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/4)\/(4\/(-8)). Suppose 5*b + 10 = 0, h*b + 20 = 2*f - 0*b. Solve q - f*q + 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -3\/4*g**4 - 6*g + 0 + 3\/10*g**5 + 0*g**3 + 0*g**2. What is the third derivative of c(o) wrt o?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.1, 0.2, 3\/5 in descending order.\nAnswer: 3\/5, 2\/5, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 x, and 1 u when three letters picked without replacement from outyxuutqutuuxy?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 782435276 to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:27 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 + -39)\/(-17) + (-1)\/(2\/(-22494)).\nAnswer: 7, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*q - 7 = 0, -2*j + 4 = -0*j + q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -1\/3, -1733, 0.7 in descending order.\nAnswer: 0.7, 1\/6, -1\/3, -1733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -46\/9, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 24967, 0.2, -0.1.\nAnswer: -0.1, 0.2, 2\/5, 24967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72787916933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/4 + 13 - (-16)\/((-768)\/234)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 26*z - 13. Suppose -40 = -0*q + 4*q. Let a be y(q). What is the highest common factor of a and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -50. Which is greater: m or 2\/221?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(28)\/sqrt(4)*-2) + (sqrt(425) + 1)*2.\nAnswer: 2 + 19*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-53 + 62)) + 59.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(207\/6) + (-540)\/(-3565)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12907690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*p + 1477, 0*p - 3*p = 5*c - 1478. Suppose -b - c - 305 = 0. What is b rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 q, and 1 u when three letters picked without replacement from {q: 4, u: 2, n: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:15 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -20109*q - 570. Let o be k(-30). Round o to the nearest 10000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxnxmnjqj. What is prob of picking 1 n and 1 x?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from detdeedndde. Give prob of sequence eed.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42*z - 53*z - 68*z)*(4*z - 3*z + 4*z) to the form b + i*z**2 + p*z and give i.\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -g + 6*g. Suppose 6*x - 4*x - 5*z = 45, -4*z - 84 = -4*x. What is the highest common divisor of x and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476762?\nAnswer: 2, 3, 7, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.9, 40, -3 in decreasing order.\nAnswer: 40, -4\/7, -0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfttffftfftftttfffft. What is prob of picking 2 f and 1 t?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 300 = 13*s. Suppose -s = -2*p - p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1296*y + 1296*y + y**2 + 4 in the form x*y + k*y**2 + o and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 376*a**3 - 1920*a**3 + 1.\nAnswer: -1544*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1842*u - 29 + 12 + 525*u + 16 to q*u + c and give q.\nAnswer: -1317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18987131*v + 2*v**2 - 3*v**3 - 37980244*v - 2*v**2 + 18993113*v.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + x - 175. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from kpczppz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1049285, 1049298, 1049335, 1049402, 1049505, 1049650, 1049843?\nAnswer: 1050090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -169*m**2 + 160*m - 161. Give p(1).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - 1011200102?\nAnswer: -1011122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21029 + 2300. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -198254 + 309809. Let y = h + -111430.059. Let u = y + -125. What is u rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 581816 by 575.\nAnswer: 581816\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 8*u = 0. Suppose -99 = -u*g - 3*g. Calculate the greatest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) -0.4 (c) -1.4 (d) 2\/3 (e) -3.4 (f) -29\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 503, 492, 477, 458?\n\"Answer: -2*r**2 - 5*r + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/64 in -2\/5, -6\/7, -10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 = 5*b, -b = 4*y + 2*b - 39. Suppose -y*u + 7*u - 4 = 0. Put u, -1, 0 in ascending order.\nAnswer: -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*j - 24, 21 - 1 = -4*m + j. Let v(r) = -7*r - 26. Calculate v(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7807 = 10*s - 47*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let h(v) = 4*v**2 - 5*v. Let o(q) = -h(q) - 3*y(q). Let l be (-18)\/(-30) - ((-12)\/5 - 2). Give o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(24)\/sqrt(2)) + -1.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 73\/4 (b) -0.4 (c) -1 (d) -17\/4 (e) -76 (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50697233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4036 is divided by 139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1) - (25 + -160). Let o = -132 + g. Suppose p + 2 = 3, -o*d + 10 = -5*p. Solve -t = 5*s - 7 - 7, 3*t = d*s + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20\/797 + 40390\/21519. Let i = 15563\/6 + -2596. What is the common denominator of i and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 263113 and 14552.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o - 460. Let c be o*((-10)\/5 + -2). Suppose -3*d + 5*y + c = d, -481 = -5*d + y. Calculate the remainder when d is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 11136?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssibvmp. What is prob of sequence sp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -399 + 265*y + 2075 - 144*y - 119*y + 386 + (-1 + 2 - 2)*(y + 0*y + 0*y) in the form c*y + l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 19*a - 19*a - 30 = -39*a, 4*a = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57070, 114138, 171206, 228274, 285342, 342410?\nAnswer: 399478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 242\/14 + 6\/(-21). Suppose -18*c - 1 = -s*c. Put 4, -4, c in ascending order.\nAnswer: -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 4*f - 2*h - 45, 0 = 4*f - 118*h + 123*h - 75 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*d + 6877 + 6703, 4*y - 5*d = 13580. Suppose -10*r + 15*r - y = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248940 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 614769343 a multiple of 677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -11. Which is the closest to -0.02? (a) -2 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490637 is divided by 162577?\nAnswer: 2906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 5 in ascending order.\nAnswer: -7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2030867027 to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510959?\nAnswer: 101, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9363*c**2 - 18*c - 34. Let t be z(-2). Round t to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192970, 385871, 578758, 771625, 964466, 1157275?\nAnswer: 1350046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q - 24 = 0. Let j be 8998\/(-9) + q\/36. Round j to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1382 - -1451. What is the remainder when 405 is divided by w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180371305.\nAnswer: 5, 491, 73471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h. Let y = -6 + 11. Let m = 5 - 0. Solve i + 7 = -y*u - 4, -i - 2*u - m = h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 270890761 or 270890760?\nAnswer: 270890760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4 = t, 2*d + 4 = 10*t - 5*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 + 43. Let w be (-2)\/13 + 533\/m. Which is smaller: 30\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22134 + -112215?\nAnswer: -134351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 7 - 19. Let p(d) = 23*d + 5. Let g be p(c). Suppose g + 17 = 5*j. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**2 + 2\/3*u**3 - 32 - 80\/3*u.\nAnswer: 2*(u - 4)*(u + 1)*(u + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 4 = 6. Put -3, v, 3, 4 in decreasing order.\nAnswer: 4, 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1149 in -1\/21, -1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4, -7, -5, -41 in decreasing order.\nAnswer: 4, -1, -3, -5, -7, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -15477*h**3 + 2*h**2 + 3*h + 3. Is d(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**6\/60 - w**5\/120 - 2*w**3\/3 + 38*w - 14. Let g(s) be the third derivative of z(s). Determine g(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70585 - 22284458.\nAnswer: -22355043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/63 or 1.2?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.73653 - 71.35953. Let z = -0.377 + t. Is z less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1603 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96507209*w**2 - w - 321976339 wrt w?\nAnswer: -193014418*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -p + 6*p - 70, -4*i + 3*p + 74 = 0. Let l be 38*(-4)\/i*-5. Let r = 66 - l. Calculate the highest common divisor of 42 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7 - -4) + (-154)\/(-8) and -19\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 + 1010 - 3*n**3 - 1014 + 69*n + 27*n**2 - 29*n**2 to the form i*n + a + d*n**2 + z*n**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Let k be i(-3). Which is the nearest to 5? (a) k (b) 3\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 796 = -208. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-20 - (-2)\/1). Suppose 2095 = -3*w + 2050. Are b and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 3970, 4\/7, -792\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**2 + g**2 + g**2)*(199*g**2 + 433*g**2 + 93*g**2) to a*g**2 + z*g**3 + q*g**4 + r + v*g and give q.\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 9. Suppose 0 = 2*o + 3*o + h. Let f = 87 - o. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 451.4479l in millilitres?\nAnswer: 451447.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 56 = -3*h + 21, h + 1 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2658 is divided by 885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y**5 - 170169*y**4 + 958014*y**3 + 370872*y**2 = 0.\nAnswer: -4\/11, 0, 6, 5151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k - 4. What is the lowest common multiple of z(4) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 15234?\nAnswer: -15240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggxjqjivqixx. Give prob of picking 1 v and 2 q.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -68 - -95 - -2 - (-1 - -1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbkk. Give prob of sequence kbkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*z**3 - 109*g - 225*z**4 wrt z.\nAnswer: -3*g*z**2 - 900*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*t - 121 = -841 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*i = -2*w + 16, -5*i = w - 23. Solve -3 = -o - i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3\/2 - 355575*g**2\/2 + 3162883080*g - 72652291670.\nAnswer: 5*(g - 35546)**2*(g - 23)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 923.19 + 0.71. What is d rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - (2 - 3)) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -17 + (-52 - -23) + 4 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 8902752?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50443\/691 - (-3 - -49). Factor 21\/2*b**3 + p*b + 12 - 99\/2*b**2.\nAnswer: 3*(b - 4)*(b - 1)*(7*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -20*y - 9. What is the units digit of t(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6\/457, 95, -2, 0, -4?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 153632.\nAnswer: 5\/153632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 617 (c) -283 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/9 and 74\/345?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 2*y + 29, -5*y + 4*w = 6*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 654880268*j**3 + 3939*j - 7791 wrt j.\nAnswer: 3929281608*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -28?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3\/(-3) - 79)*14\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38 + (5 - (-4 - -6)). Suppose 2*h + 15 = g. Let c = -12 + h. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)*u\/(u*((u\/u**(1\/10))\/u)\/u)*u)\/(u**(1\/2))**(-9\/5) assuming u is positive.\nAnswer: u**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3695*d + 17120 = 3481*d for d.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-6)\/8*(-780)\/(-540).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (18\/(-36) - (-3)\/(-2)) + (-88696)\/(-4) is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9803559 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o + 49. Let a be s(7). Suppose -3*n + 4 = -5*q + 14, 3*n = a. Solve 0 = -2*u - q*h + 16, 3*h - 9 = 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -31a008?\nAnswer: -31a00a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -55, 2 in ascending order.\nAnswer: -55, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397011 is divided by 121?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 75*w - 17. Suppose -28 = -4*g - 4*k, -4*g - k + 14 = -4*k. Suppose -2*y - 3*b = y - 18, 0 = g*y + 3*b - 34. Is t(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {t: 3, b: 2, s: 2, q: 3, k: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 3. Let k be (-10 - -2)\/((-4)\/u). Solve 3*o = -2*o + k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 675289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1969 divided by -11\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 196c - -d?\nAnswer: 197b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnnnoxtxtn. Give prob of sequence tt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1110011010110111101000 (base 2) to base 15\nAnswer: 4ea04c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(((-128)\/(-312))\/16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13850395 divided by -169\nAnswer: 81955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 15 = 3. Let x = v - -6. Solve 4*k + x = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-3)*1\/(-2). Solve -4*t = -n*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 655583 (base 11) to base 15\nAnswer: 15a2ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 149 - 34. Suppose 4*r = f + 13, 2*r - 7*r = -3*f - 11. Let j = r + 8. What is the remainder when s is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0091891 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-1\/3)\/r))**7)**(-20)*(r\/r**(2\/17))\/(r\/(r*(r**(-7)*r*r)\/r))*r**(2\/9)*r**(-6) assuming r is positive.\nAnswer: r**(-51647\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7850 divided by 314.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1)\/(20\/(-6) - -3). Calculate the common denominator of -39\/110 and 279\/3960*76 - j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267576*n + 5520 = -267392*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 5:53 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**4\/2 + 371*k**3\/3 - 321*k - 285. Differentiate v(c) with respect to c.\nAnswer: -6*c**2 + 742*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 23. Let n(h) = -25*h**2. What is l(n(g))?\nAnswer: 50*g**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -484 and 0.2.\nAnswer: -483.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5535*c + 3 - 11570*c - 3 + 5819*c.\nAnswer: -216*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*p = 6, 0 = -2*h - h + 2*p - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/108923826 and -1\/66?\nAnswer: 108923826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8810*q**2 + 5114*q + 42. Let k(x) = -8812*x**2 + 5113*x + 36. Let i(g) = 6*j(g) - 7*k(g). Find the second derivative of i(v) wrt v.\nAnswer: 17648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5722.51378 rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/(-10) + (-2)\/(-5). Let g = -5 - x. Suppose 3*r - 6 + 0 = g. What is the smallest common multiple of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*x - 220. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*n**2*o**4 + 140407*n**2*o**2 - 30*n*o**6 + 7*o**3 wrt o.\nAnswer: -360*n**2*o - 3600*n*o**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s**2 - 6*s**3 + 304 - 628 + 324.\nAnswer: -6*s**3 - 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w - 4. Let x be v(-6). Suppose x = 2*m - 40. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from rmwmwmmwrwmm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnsn when four letters picked without replacement from nssnsnfssnnsnsnsss?\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1121 + -1117.941. Let r = u - 2.89. Let z = -0.021 + r. What is z rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.095 + 0.\nAnswer: 5.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7897 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10) + 0 - 576\/(-1120).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6796, 54411, 183652, 435331, 850260, 1469251, 2333116?\nAnswer: 3482667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(304\/(-64) + (-3)\/(-4)). Which is greater: m or -4\/65?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5281 + 23341. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2453587068?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-130)\/(-25))*(-65)\/(-26)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**2\/5 - 140187*j\/5 - 140184\/5 = 0.\nAnswer: -46728, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 48*z**2. What is the remainder when b(1) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -319491 and 4.\nAnswer: -319487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**5 + 32*h**4 - 32*h**3 - 200*h**2 + 228*h + 360 = 0?\nAnswer: -2, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2667*m. Let o(u) = u**2 - 95. Give r(o(d)).\nAnswer: -2667*d**2 + 253365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*t**2 + 141*t - 22*t**5 + 38*t**5 - 18*t**5 wrt t?\nAnswer: -40*t**3 - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 111167*r + 14. Let h(k) = -k**2. Determine l(h(b)).\nAnswer: -111167*b**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**3 + 133221 - 266444 - 31*p**3 + 133223 + 68*p**3 - 26*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4903992*i**5 - 8*i**3 + 96*i - 345639 wrt i.\nAnswer: -98079840*i**3 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37 and 0.740423.\nAnswer: -36.259577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*d + 67*d + 24 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17831629 plus 41?\nAnswer: 17831670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 29. Let r be 12\/w*(1 - -4). Suppose r*m - 15 = -m. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*t - 2*a - 30, 3*t - 4*a = 49. Let k = -21 + t. Round k to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-8) + (-121)\/(-44). Suppose -a + t = -6, 3*t - t = -10. Suppose a = 4*l + 5*z, -4*z + 2*z = 3*l - 6. Solve h - 8 = 2*s, -s + y*s + l = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8392 = 42*w + 9442 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + y + 11 = 0, -5*b = 3*y - 2*y - 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 3. Suppose -9*m + 13 = -2*y - 14*m, -4*y - 13 = -3*m. Let a(f) = 2*f + 2. Calculate y*a(l) - 3*c(l).\nAnswer: -5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2876930 and 24528?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 11:21 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3405 + 3409 - 2*r - 2*r - 4*r**2 - 3*r**3. Let h(d) = -2*d**3 - 3*d**2 - 3*d + 3. Let p = 42 + -45. Determine p*o(s) + 4*h(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(z + z - 3*z) - 2*z - 7*z + 2*z + (-4*z - 6*z + 4*z)*(4 + 3 + 4 + 0 + 4 - 5 + (-1 + 1 + 1)*(-3 - 3 + 4)).\nAnswer: -54*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 6 = -3*n, 0 = -n - 121*b + 127*b + 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 112 = 2*o - 0*t, 5*o + 4*t = 280. What is the greatest common divisor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 297, 300, 303, 306, 309?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b + 4*b)*(3*b**3 + 4*b**3 - 5*b**3).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 55. Is (0 - 5) + 0 + 3 + s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2028\/(-312))\/((-25)\/30). Factor l*i**3 + 204\/5*i + 96\/5 + 3\/5*i**4 + 144\/5*i**2.\nAnswer: 3*(i + 1)*(i + 2)**2*(i + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 255 - -780. Suppose 5*y - o = -2*q, -1021 = -5*y - 5*q + 14. Suppose -3*h - 33 = -y. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 16 = -6*h, 36 = 5*y + 4*h. Let v be (3 - y - -1)*1. Solve v*l = -4*l + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*x + 31*x - 484. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-6 - (30 - 3)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68.1 - -90. Let t = p - 21. Let r = -0.6 + t. Which is the smallest value? (a) r (b) -2\/5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44841 less than or equal to 1569473\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, a: 3}. Give prob of sequence aarr.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1424 or -1?\nAnswer: 1\/1424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 8. What is p(10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -220882 - -e4?\nAnswer: -22079e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72273915 by 4818261.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + sqrt(272) + (sqrt(272) - (sqrt(272) - (-1 + sqrt(272)))))*4)**2 - sqrt(272).\nAnswer: -388*sqrt(17) + 39184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101011100011001 (base 2) to base 10.\nAnswer: -317209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 - s**2 + 4*s**2 + (2 - 2*s - 2)*(-s - 2*s + s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 1, f: 1, e: 1, q: 2, w: 1}. Give prob of picking 1 f and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 351008?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -9. Let d be p\/(-10) + (-8)\/(-20). Let q be (1*d\/2)\/(40\/(-200)). Solve 15 = -0*i - q*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + 57. Let w be (-2)\/4*-37 - 10\/20. What is the greatest common factor of c and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 7*r**2 + 4*r - 6. Suppose -4*u + 65 - 5 = -2*f, -4*f = u + 84. Let p be f\/4 - (-1)\/(-2). What is l(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + o + 5*o**2 - 6*o - 4*o**2.\nAnswer: o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*14.4.\nAnswer: -302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4\/k)\/k)\/(k**(-5\/3)\/k*k*k)*(k*(k*k*(k*k*(k*k*k*k*k\/k**(-1\/3)*k)\/k*k)\/k*k*k*k*k)\/k)**(-12)*((k*k**(2\/9)\/k)**46)**(13\/2) assuming k is positive.\nAnswer: k**(-818\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2 (c) -1049 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n\/(n\/(n*n**(-2)))*n*n)\/n*n**1*n**(-3\/5)*n\/n**(1\/6)*n assuming n is positive.\nAnswer: n**(157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -2*t**4\/3 + t**2 - 3*t. Let x(z) = -33*z**2 + 9. Let f(w) = 9*d(w) - 2*x(w). Let s(g) = -2*g**2. What is s(f(b))?\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3456\/13 + -266. Let k = 221 + -221.2. What is the second smallest value in k, -0.14, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80880 + -14558467\/180. Calculate the common denominator of n and -31\/15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 45. Let b = -7 - -5. Is c > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/180089 and -2\/9659.\nAnswer: 133806127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 14*g - 10. Let c be k(13). Suppose 101*u = 100*u + c. Let l(f) = f**3 - 2*f**2 - 4*f + 2. Determine l(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/13 in 2, -15, -325, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.54? (a) 4 (b) -5 (c) 107 (d) -1 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*-4*(-3)\/72?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 912 + -3191. Let l = 3778 + z. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 21. What is the remainder when 11 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 72026920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z**11)**(-50)\/((z**1)**(-2\/23)\/(z*z**(-7)*z*z**5\/z)) assuming z is positive.\nAnswer: z**(-14971\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.94 - 0.06. Let b be (-1)\/((10\/(-14))\/(14 - (-1536)\/(-112))). What is the nearest to i in 0.06, b, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 2*w - 14, -14*j - w + 3 = -12*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3196682 is divided by 1944?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 9. Suppose -b - 4 = -4*g, 5*b + 2*g = 2*b + 2. What is the units digit of d(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423 - 416. Let t(r) = 4*r + s*r - 3*r**2 + 4 + 3*r**2 - r**2. What is t(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1280 is divided by 143.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*x - 3*p, 0 = -2*x - 2*p + 6 - 2. Is x equal to 1\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 2*v**2 + v. Let k be d(-1). Suppose 0 = -21*b + 28*b - 1225. Let u = b - 173. Solve -20 = -p + 3*c, -k*c = 2*p + u*c + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**3 + 212*s**2 + 332*s + 112.\nAnswer: -4*(s - 28)*(s + 1)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -27004?\nAnswer: -27003.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = 9. Suppose -c*h - 2*h - 74 = 4*a, 0 = -3*a + 5*h - 38. What is the tens digit of (a\/5)\/(3\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23716321, 23716313, 23716305, 23716297?\n\"Answer: -8*n + 23716329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 1, e: 5, p: 2, f: 3}. What is prob of picking 1 p, 1 e, and 1 f?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 - b - 1. Let r(y) = 19*y**2 - 17*y + 10. Let u(c) = 4*h(c) - r(c). Give u(-12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**4 - 4520*j**3 + 1207800*j**2 - 129193120*j + 4884631120 = 0?\nAnswer: 122, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -11 - 4. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + 165 - 165)*(-z + 2 - 2) - 4*z**3 + 3*z**3 - z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 585 and 42165?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*s - 1748 = 122*s. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*r + 18, r + 0 - 2 = 0. Let w be t\/3*78\/(-26). Suppose 5*o + 2 = -4*s, o + 2*s = -w*o. Solve o*z - 2*b + 6 = z, -b = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 33*a**2\/5 + 222249*a\/5 - 8082 = 0.\nAnswer: -6735, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12713759, -12713758, -12713757, -12713756, -12713755?\n\"Answer: l - 12713760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:03 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43 - 15*n**3 + 97 - 228 + 246*n + 319*n**2.\nAnswer: -(n - 22)*(n + 1)*(15*n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 6*f - 4*f + 12*f - 246.\nAnswer: -2*f - 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/378 and 101\/13148814.\nAnswer: 118339326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776649 is divided by 81?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -1\/21*g**2 + 2\/7*g + 1\/42*g**4 - 2\/21*g**3 + 5. Factor t(s).\nAnswer: 2*(s - 3)*(s - 1)*(s + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.1 + -53. Let d = 15.6 + n. Let w = d - 23.8. Round w to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17 - -7)\/3 + -5. Let l(a) be the first derivative of 14 + 0*a + 1\/8*a**4 + 0*a**2 + 0*a**p. Factor l(b).\nAnswer: b**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 37 = 5*o - 4*g, -4*o + 36 = -2*g. Suppose -3*w + 4*w - 28 = -2*q, w = 2*q - 20. Suppose -4*l = -o*l - q. Sort l, -2, 3 in ascending order.\nAnswer: l, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1153*x + 309. List the prime factors of s(-10).\nAnswer: 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 113158?\nAnswer: 1018422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-2\/21)*l*l**(-14) assuming l is positive.\nAnswer: l**(-254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1 + (-6 - 5). Let g = -7 - h. Suppose 3*p + g*u = 9 - 4, -3*p + 1 = 4*u. Solve -p*y = 2*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 9. Let g be f(9). Let s = -2.92 - -2.52. Let j = 3 - 2.9. Which is the closest to g? (a) s (b) -2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 407 - 403. Solve -w = -u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*r**5 + 11*r**3 - 32789*r**2 + 32789*r**2)*(13 - 2 + 18).\nAnswer: -87*r**5 + 319*r**3 + 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120.9*-4.\nAnswer: -483.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 620*o**5 - 3429*o**2*u + 6*o*u + 10*o + 120*u - 11 wrt o.\nAnswer: 12400*o**3 - 6858*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 14661?\nAnswer: -14662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**5 - 28*w**4 + 3*w**3 + 229*w**2 - 191*w - 18. Let c(f) = -f**5 - 7*f**4 + f**3 + 57*f**2 - 48*f - 4. Let o(x) = 9*c(x) - 2*h(x). Factor o(t).\nAnswer: -t*(t - 2)*(t - 1)*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 - -0.02. Let r = p - -0.5. What is the biggest value in 3\/7, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7043633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 18122031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -7\/2*i**2 - i + 0 + 2*i**3 = 0?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.6 + -0.6. Which is the smallest value? (a) -2\/3 (b) x (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -46. What is the second smallest value in 0, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -434.092 and -4.\nAnswer: -438.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -1 + (-88)\/(-14) - 3. Factor 0 + i*s**4 - 2\/7*s + 2\/7*s**3 - 2\/7*s**2.\nAnswer: 2*s*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 - 5*w**2 - 5*w + 7. Let r(c) = c**2 + c - 5 + 0*c + 4. Let j(k) = -o(k) - 5*r(k). Find the first derivative of j(n) wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -330355520?\nAnswer: 330355522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1*-9)*28\/(-56)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.847134526 * -0.5\nAnswer: 0.423567263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 - 2*h**4 - 3*h**2 + (2*h**2 - 2*h**2 + 3*h**2)*(-14*h**2 + 12*h**2 + 39*h**2) in the form p*h**2 + w*h + b*h**4 + n*h**3 + u and give b.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.8, -3\/4, -558, 4.\nAnswer: -558, -2, -0.8, -3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/(-44) + (-1)\/(-4) and 16\/(-72) + 317\/(-18).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -11. Let c(o) = o**3 - o - 2. Let r be c(2). Suppose r*k - 15 = -3*t + d, 24 = 3*k - 3*t. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3212145 (base 6) to base 12\nAnswer: 77055","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 14365000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 1, g: 1, z: 1, b: 1, k: 1}. What is prob of sequence obg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 64*m + 61. Let n be f(1). Sort n, 4, 3, 115, -2 in decreasing order.\nAnswer: 115, 4, 3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 638.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 7*a**2 + 4*a - 8. Let w be i(-6). Let v be 9*-1*(-3)\/9. Solve 0 = -w*r - 3*x + 3, r + v*x - x + 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22000001 - -2?\nAnswer: -21222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 2 + 2*w)*(-18*w + 103*w + 3*w) as q*w**2 + o*w + g and give o.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1155 and 26\/3255.\nAnswer: 35805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 226*h**3 - 107*h**3 + 18 - 118*h**3 + 12.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**5\/13 + 302*m**4\/13 + 10302*m**3\/13 - 6334*m**2 + 195920*m\/13 - 149784\/13 = 0.\nAnswer: -79, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3.5. Let q = -2531.5 + 2534. Let b = q - y. Put b, 2\/19, 1 in ascending order.\nAnswer: 2\/19, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -36. Calculate the highest common divisor of t and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-458)\/6*6*23. Let k(l) = -99*l**2 + 3*l + 12. Let r be k(6). Let s = r - h. What is s rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 352022.4 + -352021.0000136. Let y = x + -1.4. What is y rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343 divided by -1\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6866\/2525 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 6*q + 3. Let f = -149 - -154. Determine k(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756012 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v - 8*v + 12*v - 3331 + 2899 to o + b*v and give o.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2231 - -20?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1110)\/(-25) + (-3)\/(-5). Calculate the greatest common divisor of h and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -22, -39, -56, -73, -90?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 10*q**2 - 7*q - 1. Let a be x(-9). Let k = a - -29. Is 16 a factor of ((-78)\/9)\/(k\/(-75))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - u - 2 = 0, -t = -0*t + 4*u - 7. Let w(v) = -95*v + 2 - 3 + 1 - 5. List the prime factors of w(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5604.4 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -3*sqrt(114)\/(sqrt(42)\/(-3*sqrt(7)))).\nAnswer: -9*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 695549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 579\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -5 (b) 1\/26 (c) 0.5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51686553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2230.\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 25*q**2 - 599*q - 5558. Give j(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 164\/6 + (-24)\/(-36). Let x = p - 23. Suppose x*b = 4*b + 5. Calculate the highest common divisor of b and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 773983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 1630440*o + 73359675.\nAnswer: 5*(o - 326043)*(o - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 1792491*o\/2 - 32265486.\nAnswer: (o - 1792527)*(o + 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7833*g**2 - g + 114556 wrt g.\nAnswer: -15666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/31730504 and -68\/915303.\nAnswer: 95191512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1821043 to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 4*l. Let s(y) = -y**2 - y + 2. Let r be s(l). Solve i - r = 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65633721 a multiple of 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -22*d. Let l(w) = 68 - 2*w - 68. Determine o(l(q)).\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/((-80)\/12))\/(6\/(-256)). Suppose -6*u = -22*u + v. Solve -u = -2*j + 6*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 12:47 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8229 times 0.3?\nAnswer: -2468.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 346*p**2 - 3*p + 2. Is w(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2536 - 1856 = 207*w - 2839 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61824?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 34. Let z(j) = j**3 + 8*j**2 - 4*j - 11. What are the prime factors of z(d)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, -37, -87, -177, -319, -525?\n\"Answer: -2*f**3 - 2*f**2 - 2*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from xrllr?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67 + 14?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -16*c**2. Suppose s = u - 11, -3*s = 4 + 2. Let p = -4057 + 4063. Let n(y) = u*y - p*y - 4*y. Calculate n(x(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -366 divided by -2\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 19*u + 11. Calculate the remainder when j(17) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 9:24 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 21 = -5*v, -v + 135*t - 3 = -2*v + 133*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*o - 24125 = 985 for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 25*a = 20*a - 135530, 3*c + 4*a = 101663. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -395 - -397. Suppose 3*h = 2 + 4. Suppose h*v = l + v - 80, 2*v = -b*l + 176. 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 minutes are there between 5:57 PM and 3:43 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**5 - 2317261*n**3 - 3270*n**2 + n + 3.\nAnswer: -240*n**2 - 13903566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -0.216.\nAnswer: 2.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d + 7. Let i be t(-9). Let r be (i\/(-12))\/((-1)\/(-3)). Suppose -b + 0 = -5*q + 8, -5*b - 5*q + 20 = 0. Solve b*w - r = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21, -59, -131, -243, -401, -611?\n\"Answer: -r**3 - 11*r**2 + 2*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxyddxddyxqxxxd. What is prob of picking 3 y and 1 d?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*l**5 + l**3 - l**3 - 2*l**5 + (13 - 5*l - 13)*(-2*l**4 + 7*l**4 - 4*l**4) + (-l**5 + 2*l**5 + 0*l**5)*(-2 + 0 + 5).\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 3 + (-8)\/(0 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/65 + -1 + 63\/13. Suppose -a*d = -1 + 5, -d - 89 = -2*l. What is the tens digit of l*1 + (-8 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -16. Sort -0.1, x, 11 in decreasing order.\nAnswer: 11, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.2 + -23. What is the nearest to i in 0.4, -1, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115245 + 12?\nAnswer: 115301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 62 = 58 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/16 + (-25)\/(-16). Let j = 40.4 - 180.9. Let s = -140 - j. Which is the nearest to o? (a) -1\/4 (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 509 + -301. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 37 + 3*d**2 + (d - 3*d + 4*d)*(3 - d - 3) - 2*d**2 + 0 + 0 in the form u*d + y*d**2 + k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*w + 32, 4 + 15 = 2*w + 5*n. Suppose -652 = w*o - 9*o. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*y - 4*d + 28, -4 = 2*d. Suppose y + 24 = n. Calculate the remainder when n is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867.67659 seconds in days?\nAnswer: 0.010042553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 23293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3088497 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmxxmmx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 43 + 18*o + 151 - 28 - 62.\nAnswer: 22*o + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onobtb. Give prob of picking 2 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*j + 13 = 0, -23 = -5*i + j - 9. Suppose 0 = -i*f + f. Suppose -4*g + q + 25 = f, 2*g - 2*q + 13 = 3*g. Is 6 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 26, 1, 0.28, 174.6?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -2*z - 308. Let g = 558 + z. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 97610.75 decades?\nAnswer: 976.1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, 7.\nAnswer: -2, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5119.9638 + -0.1\nAnswer: -5120.0638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b604 (base 16) to base 11.\nAnswer: 236221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 211227 and 748254.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = -2*b + 2, -4*f - 3*b = -23. Suppose 10 = f*o - 0*o. What is the second derivative of -4*q**o + 2*q + 2*q**5 - q wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.204 + -0.004. Which is the nearest to 2? (a) 3 (b) -2\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 28 = -5*b, 25*c - 27*c - 8 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1365 and 67\/232265?\nAnswer: 63408345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 66, 148, 284, 492, 790, 1196?\nAnswer: 1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/15, 2\/3, -1\/2, -4, 111?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -0.22\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*t + 13. Let n be (-6 - (-3 + -4))*(-9 - -4)\/(-1). Suppose 49 = t*v + 4*k, -n*k = 4*v - 3*v - 20. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 6, q: 2, f: 9}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 85*n**3 + 140*n**2 - 5200*n + 13120 = 0?\nAnswer: -164\/17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58 - 6328?\nAnswer: -6384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**2 - 53*g**2 - 717*g**2 - 489*g**2.\nAnswer: -1201*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8667360 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/88*(0 - 4). Let t be ((-5)\/6 - -1)*(-6 - -2). Sort t, p, 4 in decreasing order.\nAnswer: 4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1953615, -1953581, -1953525, -1953447, -1953347, -1953225, -1953081?\nAnswer: -1952915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7277, -7251, -7225, -7199, -7173?\n\"Answer: 26*q - 7303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/1 + 0)\/(-1). Let r be (q + -3)\/((-1)\/1). Let x be (200\/210)\/(2\/4) - (-32)\/336. Solve 0 = 5*i - r*m, x*i = 3*i + 2*m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.22 and 238805.\nAnswer: 238804.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/(((-18)\/42)\/(-1)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343101, 343100, 343099?\nAnswer: 343098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 12.7081.\nAnswer: -7.2919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -2*k + 5, 0 = 4*p - 5*k - 5. Let a(x) be the third derivative of 0*x**5 + 0*x + 0*x**4 + 0 - 23\/6*x**3 - 10*x**2 - 1\/120*x**6. Determine a(p).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -404, -1543, -3380, -5915?\nAnswer: -9148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31822, -64602, -97384, -130168, -162954, -195742?\nAnswer: -228532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/2*(-29)\/(1914\/(-88))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 o when three letters picked without replacement from zgnzgo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -23 + (3 - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -6*l**2 + 17. Let y(c) = c**2. Determine k(y(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c + 6*c + 2*c + 92 + 4*c to the form h*c + g and give g.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (194*c + 94*c - 2 + 2)*(6*c + c - 10*c).\nAnswer: -864*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -444 + 444.2. Let l = 0.3 + -0.2. Sort r, -2\/9, l in descending order.\nAnswer: r, l, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 1. Let p be b(-2). Let z = p - 7. Let i be (36\/21)\/((z\/(-7))\/(-1)). Solve 20 = i*f - f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1 + 5*p**2 + p + p + p**2. Suppose 2*s + 2 = -2*v, 0*s = v - s - 3. Is n(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -32, -36, -20, 22, 96, 208?\n\"Answer: i**3 + i**2 - 28*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z - 18. Let v be t(6). Suppose -v*f + 18 = -0*f. Suppose -2*x + 31 = -5*w, -3*x + 2*x - 1 = f*w. Calculate the remainder when 29 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 4*b**2 + 0*b)*(0*b**2 + 0*b**2 - b**2 + (-2*b + 0*b + 0*b)*(-4*b + b + 4*b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**6\/1260 + g**5\/84 + g**4\/14 + 7*g**3\/2 - 25*g. Let l(m) be the second derivative of q(m). Determine w so that l(w) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 184*p**3\/3 + 545*p**2\/2 + 2*p + 972. What is the second derivative of i(a) wrt a?\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 127*m**5\/12 + 5*m**4\/24 + 20*m**2. Let d be o(-3). Round d to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (642\/(-12) + 10)\/(2\/(-4)). Which is smaller: d or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 p when three letters picked without replacement from fmzpmmzm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6238.4 - 2.04\nAnswer: -6240.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.161 (c) 1\/3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -32 - (46 + (-49 - -22))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 82350.\nAnswer: 1564650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 = 3*p - 583. Let k = p - 240. List the prime factors of k.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301380 is divided by 299.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 13097701?\nAnswer: -1\/13097701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 2299?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*g + 4 + 1 - 1 + 4*g + (4*g + 0*g - 7*g)*(0 + 1 + 1).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 708049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23639 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 693 = 594. Let n(m) = 11 - 7*m + 2*m**2 - m**2 - 4 - 2*m**2. Calculate n(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*t**2 - 3*t**2 - 73*t**2.\nAnswer: -116*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1.05. Let m = k + -0.02. Let q = -1155 - -3469\/3. What is the second biggest value in -2, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/1*2\/1. Factor -5*k**2 + 2*k + 4*k + k**v + k**2.\nAnswer: -3*k*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3434)\/202 - (19 + (8 - 4)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 1:12 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12\/7 (b) 3 (c) 424\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 25*m = 215 - 831 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-14 - -5))\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.370934 years?\nAnswer: 64.451208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 248501321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + t**2 + 13*t + 11 - 4*t**2 + 6. Let r be s(14). Suppose -r*k = -4*k + 3*j + 3, -4*k = 4*j + 4. Solve k = 2*x - z, 2*x + 2*x + 5*z = 28 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -7 + 12 + -8 - 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*s + 35*s - 29*s + 8*s + 22*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5443?\nAnswer: 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*l**5 + 2*l**5 - 32*l**5 + 5*l**3 + l**5 - 5*l**3 + (l**2 + l**2 - 3*l**2)*(0*l**3 - 2*l**3 + 0*l**3).\nAnswer: -40*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.089 and -1522718842.\nAnswer: -1522718841.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42387\/23 + -1843. What is the nearest to w in -0.09, 2\/5, -3, -2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/((-3)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - 119.95.\nAnswer: -119.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*r - 18, -3 = -2*f - 9. What is the closest to -1\/4 in 1\/4, -11, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**(-4)*(c**1)**(-39)*(((c*c*c**(4\/5)*c)\/c)\/c**1)**(-30) assuming c is positive.\nAnswer: c**(-473\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116220823*j**3 + 48059*j**2 + 222?\nAnswer: -697324938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3397, 13620, 30665, 54532?\nAnswer: 85221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/582 and 42\/19?\nAnswer: 11058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11100001000110001?\nAnswer: -11100001000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by -44?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 6) to base 3\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 97339.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3 - 2. Let c = f - -12. Let g = -208 + 293. What is the highest common divisor of g and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1411*t**4 - 5*t**2 + 178*t - 4. Let a(d) = 2823*d**4 - 11*d**2 + 355*d - 9. Let j(l) = -4*a(l) + 9*h(l). Find the third derivative of j(y) wrt y.\nAnswer: 33768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 + 16953528*g + 84767565 = 0 for g.\nAnswer: -5651171, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + h + 2*h + 215 = 0, -135 = -4*r - 5*h. Is 40 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -4*o + 159. Are 92 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*j = 195*j + 60. Suppose 2*o - j = o + 2*k, 0 = 3*o + 2*k - 60. Calculate the remainder when o is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -16. What is the third biggest value in q, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 13. Let o be c(-9). Suppose 2*z - 487 = 3*h, -h = 3*z + o*h - 702. Let j = 176 + z. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.2 - -4. Let p = 0.065 - 0.265. What is the closest to v in p, 3, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 23*c + 15. Let o be v(9). Calculate the greatest common factor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8980*y + 2*y**3 + y**3 + 1207*y.\nAnswer: 3*y**3 + 10187*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3 = 3*n. Let w be -1 - (1*-3 - n). Suppose -123 + 135 = 3*l. Solve s = l*k - 16, 12 = -8*s + 3*s + w*k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -u - 3*u + 6, -4*u - 5*t = -26. Let x(m) = -3*m + 4*m - u*m. Let q(d) = -2*d. Determine q(x(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:48 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155259882.\nAnswer: 2, 3, 2875183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 342 + -b907?\nAnswer: -b595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12378, -12321, -12264, -12207?\nAnswer: -12150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 115*h + 3267. Let x be k(-52). Sort 1, -5, x, 4, -1 in descending order.\nAnswer: 4, 1, -1, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 14\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 = 47*d - 354 - 229 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**5\/5 + 3*d**2 + 5*d. Let y(n) = 0 + 11 - 4 + 5*n**3. Determine -6*r(s) + 5*y(s).\nAnswer: s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -1, 2 in increasing order.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t + 20 - 105. Solve -2*r - 1 = t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -14. Suppose j = -h + 7 - 2. Let z be (0\/3)\/(5\/(h\/(-2))). Solve 1 + z = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = w - 2*d - 10, 5*w + 2*d = 35. Let b = 6 + -3. Sort w, b, 4.\nAnswer: b, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*4\/(-12)*1 + 4. Suppose 0 = m*r, r = 2*i - 11 + 5. What is the greatest common divisor of 153 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016806 is divided by 1481?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t - 6. Let f be (-3)\/t*20\/(-30). Let v(p) = p + 1. Let o be v(f). Solve -d + 3*n - 9 = o, 4*d + 7*n = 2*n + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 27. Let k be h(12). Suppose f + 13 - 3 = -k*m, 3*f = 2*m + 14. Which is the nearest to 1? (a) -1 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13c2 (base 16) to base 6\nAnswer: -35230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.302 + -1.532. Let f = y + 6.78. Round f to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376849 is divided by 194?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 11*f - 1. Let h be d(-13). Let x be (-1 + 0)\/(h\/(-200)). Suppose -4*p = -x*p + 28. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/sqrt(160) - ((sqrt(60)\/sqrt(3))\/sqrt(4))**2.\nAnswer: -5 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 0.5, 4, 7\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n**(-2\/7))\/(((n*n**(4\/7))\/n)\/n**(1\/2)) assuming n is positive.\nAnswer: n**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/5, 1, 4\/15 in ascending order.\nAnswer: 0.1, 1\/5, 4\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -321, -185, 31, 363, 847, 1519, 2415?\nAnswer: 3571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9)\/y)**(-1\/9) assuming y is positive.\nAnswer: y**(11\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3958 divided by -4?\nAnswer: -1979\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -v + 975. Let d = -24 - 6. Find the common denominator of 53\/12 and (7\/d)\/(6\/v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 - 3*g**4 + 2*g**4 + (2*g**3 + g**2 - g**2)*(2*g + g + g).\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/6 - 17*r**2\/6 - 8*r\/3.\nAnswer: -r*(r + 1)*(r + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -224*g**2 + 134*g + 4864. Let l(t) = -27*t - 2. Let n(p) = -5*l(p) - w(p). Differentiate n(z) with respect to z.\nAnswer: 448*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 = -q, 3*q + q = 3*h - 39. Let c be (-4)\/(-12) + (-16)\/q. Suppose 3*i - 11 = 10. Solve -11 + 3 = -g - 3*l, 2*g + c*l = i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 320, 349, 314, 191, -44, -415, -946?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 34\/14145419?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/5 - 5787*c**2\/5 + 28998*c\/5 - 23208\/5 = 0. Calculate c.\nAnswer: -1934, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 1\/5884?\nAnswer: 1\/5884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 5:45 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -176, -350, -524, -698, -872?\n\"Answer: -174*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -123*r**5 - 1785*r**4\/2 - 1188*r**3 + 2829*r**2\/2 + 1869*r - 1080 = 0.\nAnswer: -5, -2, -72\/41, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8487*s - p - 2 = 8486*s, 24 = 3*s + 3*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 98565.9 to the nearest one thousand.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/315*12490\/(-14988).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9500141 is divided by 166669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 19. Let j(q) be the first derivative of -q**3\/3 + q**2\/2 + 13. Let m(f) = -2*f**2 - 3*f**2 + 4*f + 0*f. What is c*m(p) + 4*j(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2206 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1496 and 20?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40550*a**4 + 149*a**3 - 2*a**2 + 50464854.\nAnswer: 162200*a**3 + 447*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36\/2641, -5\/2, 2\/9, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26025683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 942 = 3*j + 1092 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2904, -5807, -8714, -11625?\nAnswer: -14540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**4 - 305*d**3 - 1950*d**2 - 3980*d - 2680 = 0?\nAnswer: -2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -487 - -483. What is the units digit of 23112\/96*p\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -352512 - -2?\nAnswer: -352510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 27 = -3*b, 2*y = -0*b + b + 14. Suppose a + a + 10 = 0, -a + 105 = y*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 232*f = -236*f + 479, -5*p = -f - 449. Solve p = -42*l - 77 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3*w**4 - 852*o**3 - 488*o**2*w**5 + o**2*w wrt w?\nAnswer: 12*o**3*w**2 - 9760*o**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.5 rounded to zero dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 240*r - 3362. Solve 0 = w + 9*c - 14*c + 25, 0 = -4*w - 3*c + r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 5) to base 4.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 0) + 3 + -4. Suppose 3*i = f*h - 6, -h = -i - 2*i + 2. Calculate the lowest common multiple of h and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25? (a) 0 (b) -3\/2 (c) 1\/19 (d) 16 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**5 + r**4 - 17*r**2 - 3088*r wrt r?\nAnswer: 60*r**3 + 12*r**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5b - -3182?\nAnswer: 3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 d when three letters picked without replacement from {r: 11, d: 5}?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 3, z: 1, g: 6, o: 3}. Give prob of sequence zg.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5800.02 at most as big as 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 24)\/(4\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) -0.5 (c) -3809\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 5) to base 12.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -64*f. Let o(v) = 188*v - 7. Determine o(p(k)).\nAnswer: -12032*k - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124061 by -5.\nAnswer: -124061\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 3*k**2 + 13*k + 13. Let o be w(3). Which is the fourth biggest value? (a) -0.08 (b) 12 (c) -1\/4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 7. Suppose b - 6*b - 2*p = -29, -4*b + p + 31 = 0. Let s be w(b). Let g be 3 + 2\/6*s. Solve -g*q = -0*q + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45290 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-18) - 107\/(-9). What is the common denominator of 36\/5 and (q*(-8)\/36)\/(15\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 1 + (-912)\/(-224))*-6.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36969 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -653050\/19 > -34371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + b - 28 = -3*b, 4*o - 16 = -b. Suppose 5*l - 4 = o*l. Let q(j) = -l*j + 6*j - 6 + 0*j + j**2. Calculate q(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 16. Let i(w) = -w**2 - 2*w - 1. Let r be i(-1). Suppose -s + 1 = 0, -4*l + s - 2 + 9 = r. What is the closest to -1 in -0.1, l, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.38? (a) -1\/7 (b) 35 (c) 0 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*h + 2 + 27, -4*k + 5*h = -191. Let o(s) = -20*s - 23*s + k*s. Let q(w) = -10*w. Determine o(q(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwrw when four letters picked without replacement from {w: 5, f: 2, r: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71985 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 55*n**2 - 29*n + 53. Let a be h(27). Is (a*(-3)\/6)\/((-12)\/(-377016)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-44)*(-1564)\/3910.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + -1 - (-40 - -44)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-4 - -4)) + 49 + (44 - 55).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 12 = -3*s. Suppose 2 = 2*k, 51 = s*y - k + 20. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 950963 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prrrpprprrrrrr. Give prob of picking 2 p and 1 r.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 11, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24461)\/21385 + (-176)\/(-154). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 15690709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 79*r = -157*r + 82*r - 41, -5*q - 2*r + 151 = 0 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.106 - 25.2. What is j rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/20 and (30\/(-448))\/(9 - (-70)\/(-8)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:22 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (5 - 3)) + 1 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 15, g: 3, o: 2}. What is prob of picking 1 o and 2 l?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/83727 and -61\/28?\nAnswer: 334908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - -45 - (-5)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-440))\/((5\/(200\/(-32)))\/(-2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 28. What is o(28)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47437299*w**2 + 42321979*w?\nAnswer: 94874598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - 1*sqrt(52) - sqrt(52))**2*-3 + (sqrt(52) + (sqrt(832) - (1 + sqrt(832))) + sqrt(52))**2.\nAnswer: -8*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-126)\/(-10))\/((-26)\/(-130)). Solve 11*t + 10*t - o = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21467*-0.5\nAnswer: 0.107335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtjt when four letters picked without replacement from {r: 1, j: 3, t: 2, o: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h - 2*h**2 + 1 + 11*h**2 - 17*h**2 + 9*h**2 + 3*h**4 in the form n + b*h**2 + c*h**4 + y*h**3 + u*h and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0451 - -605.9549. Let v = o + -605.98. Let x be (-1)\/5*-3*1. Sort v, 3, x in descending order.\nAnswer: 3, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*v - 0. Suppose -2*o + v = 4*n, 0*n = 2*o + n - 23. Let x = o - 7. What is the highest common factor of x and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**2 + 126408*y - 2652804 = 0.\nAnswer: 21, 31581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182 - -109. Let w = 73.00769 + b. What is w rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29 - 2*4\/(-4). Let x = b + -28. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -773, -3, -2, -5, 2.\nAnswer: -773, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 15*l - 21 = 4*o, -2*o - 2*l - 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 9*d - d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10 and 47\/680?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1. Let c(v) be the third derivative of -v**4\/12 + 5*v**3\/6 - v**2. Let f(h) = c(h) - 5*g(h). Let m(u) = 2*u**2 - u**2 + 2*u**2. What is f(m(q))?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - -82.85. Let c = k - 186. Let r = c - -102.953. What is r rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -3412\/169975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + 1) + -5 - (-2 + (sqrt(3) - 2*sqrt(243))) - (sqrt(12) - -4*sqrt(12)*2)\/(1*sqrt(196) + sqrt(196) - sqrt(4) - sqrt(4)).\nAnswer: -6 + 53*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2522.171257 + 2522.2. Round a to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0131 - 0.6869. Which is the closest to 2? (a) 5 (b) 0.6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1649 - 1619. What is the greatest common factor of z and 610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 470.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8283, -16400, -24515, -32628, -40739, -48848?\nAnswer: -56955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5 - (-82 - -84)) + (-113 - -105).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101880257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 9*y**2 - 194*y - 22. What is j(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 9*y + 4. Let h be o(9). Suppose -5*a = -a - h. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -4*z - q, -z - 3*q - 27 = -0*z. Let x = 126 + z. Let t = 498 - x. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71620.\nAnswer: 2, 5, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 31 - 28 - (2 - (5 + -2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 5*r + 4. Suppose -1 = -3*d - 4*l, -3*d + 2*d + 2 = 3*l. Let g be z(d). Solve 3*s = -g - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:27 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.577 - -0.003. Let y = h + -0.08. Let p = -1223 + 1228. Sort 2\/11, p, y.\nAnswer: 2\/11, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.22 take away -267401077?\nAnswer: 267401056.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269569288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 y when four letters picked without replacement from aayaay.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -619 and -99394.9117?\nAnswer: 98775.9117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13105 + 366*s**2 - 53*s**3 - s - 366*s**2 - 13*s**3 wrt s?\nAnswer: -198*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104797 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*v - 3)*(3140 - 6277 - 191*v + 3139 - 2*v**2).\nAnswer: 4*v**3 + 382*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 283 and 148009.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/77004 and -5\/1099818.\nAnswer: 50591628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -5*w - 24, -606*w + 601*w - 4 = 4*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 8183, -4, 2\/19 in descending order.\nAnswer: 8183, 2\/19, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (1 - -23) - 11.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -22. Suppose -8 = -m*l + 2*l. Suppose -3 = -l*k + 3. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 15 = -4*m. Let r be ((-26)\/6)\/(m\/6). Let g(t) = -2*t + 8. List the prime factors of g(r).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/7 + 573*k**2\/7 - 2328*k\/7 + 2340\/7.\nAnswer: 3*(k - 2)**2*(k + 195)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26307506 is divided by 267.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 18 = 2. Let p be ((-12)\/(-8))\/(15\/b). What is the nearest to p in -2, 0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 4 + 0)*(-2*y - y + y) - 52*y - 565 - 48*y + 156*y - 57*y in the form p + o*y and give p.\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -2*a + 0*a**3 + 1\/96*a**4 + 0 - 1\/120*a**6 + 1\/2*a**2 - 1\/80*a**5. Let p(c) be the first derivative of k(c). Factor p(m).\nAnswer: -m*(m + 1)*(4*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 + 11. Let w be s(-4). Let k = 105 - w. List the prime factors of k\/8*-2*16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*f**3 - f**2 - 936*f - 86005 wrt f.\nAnswer: 36*f**2 - 2*f - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96\/18 + 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5*(sqrt(114) - (sqrt(114) + (sqrt(114) - sqrt(114)*1))))\/(-2*sqrt(54)) + 5)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 995 = 63. Let t = 496 + l. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(64))\/(sqrt(24)\/sqrt(3)).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 512 and 44.\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o + 42 = 0. Let n(t) = -t**3 - 21*t**2 - t - 13. Let v be n(o). Calculate the highest common divisor of 24 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*c = 20, 88*d + 3*c = 97*d - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 720165510 rounded to the nearest 100000?\nAnswer: 720200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2089819 or 2089820?\nAnswer: 2089820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*v - 473 = 0, 31 = -m + 3*v - 54. Let c = -47 - m. Calculate the remainder when c is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/20 + 2*p**3\/5 - 9*p**2\/10 + 35*p + 2. Suppose w(o) = 0. Calculate o.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 5*g**3\/3 + g**2 - g + 1. Let w be t(-4). Suppose -259 = -3*y + w. What is the greatest common divisor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 364364.\nAnswer: 1821820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 555\/2331*(-24)\/(-10).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4778207 and 697.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n + 21. Let f(s) = -8*s - 8*s**2 - 10426 + s + 10419 - s**3. What is f(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 12:24 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14663646119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139771 - 10*h**3 - 2*h**3 + 279540 - 139769 + h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/45248 and 27\/14.\nAnswer: 45248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 600369*c**3 - 136*c + 186*c**5 - 600369*c**3 wrt c.\nAnswer: 3720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/12*8\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, a: 10}. Give prob of sequence aaah.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 7:36 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 162*z + 1230. What is c(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1956447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55223844 is divided by 187.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*b**2*l**3 - b**2*l**2 + 19*b**2*l + 8*l**3 - 6*l**2 wrt l.\nAnswer: -78*b**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3044671313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -1. Let o be -14 + ((-3)\/(-1) - 1). Let k = l - o. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 3\/5, 0 in decreasing order.\nAnswer: 3\/5, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 364*j**2 - 5*j + 35. Let o(k) = -k**2 - k + 8. Give -4*o(q) + r(q).\nAnswer: 368*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 4:43 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242500 = 3008*j - 97404 for j.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -56 + -28 + 2 + -17 + 49\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5, 2*p = -d + 167 + 250. Suppose 9*i - p = 5*i. Let k = 345 - i. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*m + 4)*(2*m - 2*m + 2*m) + 6*m**2 + 9*m**2 + 3*m**2.\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/23*n**2 + 0 + 8\/23*n + 2\/23*n**5 + 14\/23*n**4 + 30\/23*n**3.\nAnswer: 2*n*(n + 1)**3*(n + 4)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2. Let s(y) = -24 + 9 + 14 + 57*y - 84*y. What is u(s(l))?\nAnswer: 2187*l**2 + 162*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.039 - -1.961. Let x = -2 - -2.5. Which is the closest to -1? (a) x (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:14 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 3*s - 7. Let b(v) = -v - 1. Let x(c) = -3*b(c) + k(c). Let j(m) be the first derivative of x(m). Let q(i) = 7*i. Give j(q(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 8:42 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 105190551*m**2 - 105190551*m**2 - 810 - 5*m**3 as u*m**3 + c*m**2 + o*m + d and give d.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 13 + 0*x + 54*x - 2*x**2)*(3*x - 3*x + x).\nAnswer: -2*x**3 + 54*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 396005344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 - 12*h**2 - 21*h - 15. Let b(p) = -7*p**3 - 25*p**2 - 42*p - 34. Let u(x) = 2*b(x) - 5*q(x). What is u(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 125489262.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 313 = -119. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 28*l**2 + 24*l - 557. Calculate a(-9).\nAnswer: 1495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 513.8396mg in kilograms?\nAnswer: 0.0005138396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -14. Let t = -5 + 8. Suppose r = t*i + 4. Solve 5*y - 2*y - 19 = 2*p, -i*y = 5*p - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f - 5*f - 4*f)*(1 + 4 - 1)*(-3 + 9 + 41)*(-1 + 1 - 2) as r + m*f and give m.\nAnswer: 1880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j = -17*j - 572 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 3277*w**2 - 1 - 2*w + 0.\nAnswer: -3277*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= 155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Let m(u) = 2*u**2 + 9*u - 6. Let w(d) = d**2 + d. Let n = -17 + 16. Let t(z) = n*m(z) + 3*w(z). What is t(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l*l**0)\/l)**50)**(2\/87)*l**(-1\/9)*l**(-1\/5)*l**(-6)*l*((l\/(((l*(((l\/(l*l*l**(-7)\/l*l))\/l*l)\/l)\/l*l)\/l)\/l))\/l)\/l assuming l is positive.\nAnswer: l**(-10456\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12*g**3 + g**2 + 2*g + 1. Let t be h(-1). Solve -15 = w + 4*o, t = -3*w + 4*w - 5*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5249 is divided by 192?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) -0.2 (c) 942 (d) 1\/4 (e) 0.2 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -966179, -5.\nAnswer: -966179, -5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1810 - -1809.999218. What is m rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*z**2 - 3*z**2 - z**2)*(z + 2*z - 2*z) + 3*z**3 - 3 + 3)*(-4 + 5 + 0).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 390621?\nAnswer: 781242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001005778 rounded to 5 dps?\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*z, 4*k + 20 = -2*z - 14. Let f be (-12)\/12*2\/k. Is -1\/5 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 6.49?\nAnswer: 45.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.019 (b) -0.066 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -267 (base 13) to base 7\nAnswer: -1143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1.3 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, c: 4, s: 2, e: 2, p: 5}. What is prob of sequence cp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-13)\/(v\/(v**3\/v))*v**(-7)\/v*v**(1\/9) assuming v is positive.\nAnswer: v**(-179\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 8*i = 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8849\/11 - -805. Let d(v) = -v**2 + 5*v + 8. Let z be d(6). Let o be z\/4*-6*1. Which is the second smallest value? (a) t (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*o - 15. Suppose a = o*a - 64. Calculate the remainder when 79 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150.4701mm to nanometers.\nAnswer: 150470100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 57, 31, -27, -129?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q**2 + 121*q - 196. Calculate x(24).\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 954857359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*5\/(-7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52671\/8 - -6574. Calculate the common denominator of z and 8\/(-3)*6\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18537424*g**2*k + 37089*g**2 + 814 wrt k?\nAnswer: -18537424*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 450*d + 4*d**2 + 2*d**3 - 1 - 462*d - 4*d**2 in the form a + z*d + j*d**2 + s*d**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -48*b - 84. Let q be f(-3). Let u = q + -54. Let l(m) = -m**3 + 6*m**2 - 3*m - 7. Let k be l(5). Calculate the highest common factor of k and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/36)\/2*(-3)\/14\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89832469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11287, -14826, -18375, -21940, -25527?\nAnswer: -29142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1, 0.14491, 99, -5, 21?\nAnswer: 0.14491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 - 3*k - 4. Let b be x(6). Let v = 91 - b. Sort 24, v, 2.\nAnswer: 2, v, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/9)*z**(-4))\/((z*z\/(z\/z**4))\/(z**4*z)) assuming z is positive.\nAnswer: z**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -5, 10.\nAnswer: -5, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -13*c**2 - 7*c - 10. Let m(s) = -4*s**2 - 2*s - 3. Determine -2*j(h) + 7*m(h).\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + z - 14. Give c(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from oocqqqf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -53, -81, -109, -137?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86137609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -80, -167, -298, -467, -668, -895, -1142?\n\"Answer: y**3 - 28*y**2 - 10*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 11309*f**2 + 22621*f**2 + 13*f - 11311*f**2.\nAnswer: f**2 + 13*f + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.9 + -15. Which is the closest to 0? (a) -0.2 (b) -1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 1. Let z be x(1). Let o = -9149 - -9149.05. Which is the second smallest value? (a) 0.1 (b) -2\/5 (c) z (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3 + 1. Let b be (4\/(-10))\/((-1)\/(-5)). Sort 3, g, b in ascending order.\nAnswer: b, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 - 1 - 2*b**3 - b + 17*b**3 + 2*b**4 - 10*b**3 + 0*b - 3*b**4 as p*b + l*b**4 + d + a*b**2 + f*b**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/(4\/60*-3)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 75042 + 28803 = 2*i, i + 23127 = -4*n. Let p = i + 37848. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2824742 and 1043.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 - -1498bb?\nAnswer: 149937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 4*g**2 + 3*g - 5. Let a be u(-4). Suppose 4*d - a = -7. What is the lowest common multiple of d and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1210*y**3 + 16*y**2 - 55058.\nAnswer: 3630*y**2 + 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/(-2)*(0 + 2\/2). Let w(a) = -2*a**3 + 3*a**2 + 3*a. Let z(x) = -6*x**3 + 8*x**2 + 8*x. Give i*w(b) - 4*z(b).\nAnswer: 2*b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4171257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsmmk. What is prob of sequence wm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2587026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c (base 15) in base 16?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1 + 0 - 15*o**2 + 16*o**2. Let d(l) = -3*l**2 + l + 4. What is 2*d(p) + 7*n(p)?\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508409?\nAnswer: 11, 46219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 0*s**3 + 65 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1875*u**3 + 2*u**2 - 3388*u?\nAnswer: 11250*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + c + c + (6*c - 3*c - c)*(-2 - 2 + 6))*(0*c + 0*c - 2*c) to j + t*c**2 + r*c and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1700 - -3496. Let p = 2607 - m. List the prime factors of p.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.84 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*r + 40*r - 7 + 12*r + 5*r**3 + 25 to the form a*r**3 + j*r + m*r**2 + p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7559529*y**2 + 7*y + 46973219.\nAnswer: 15119058*y + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -37*w**2 - 469*w - 1488. Calculate p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 56 - (23 - (-7 + 22))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n + 16. Let v be z(-4). Suppose 976 = -v*q + 8*q. Suppose 2*h - q = -4*c, 3*c = -0*h - 2*h + 184. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -105*m**2 + 125\/3*m**3 + 45\/4*m**4 + 122 + 40*m. What is t in v(t) = 0?\nAnswer: -4, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31661 - -36323. Calculate the highest common divisor of 112 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 - 2*d - 5. Let z be o(5). Is (5066\/z)\/((-4)\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 551 = -11*g. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -8\/21, -98?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 15) to base 16\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h + 6 = 0, -5*r - 5*h + 55 = 0. Solve -r = 5*l + 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 9021, -2\/11, -0.2 in decreasing order.\nAnswer: 9021, -0.1, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 greater than 1884427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -474 + 666. Suppose 4*o = -72 + v. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/7*63\/(-27)*39\/((-1326)\/187)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 7, -20, 11, 4 in increasing order.\nAnswer: -20, -3, -1, 4, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 4136756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(80) - sqrt(80) - sqrt(80))**2.\nAnswer: 9680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3 = -0*y - 3*i, 5*i = -y + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 4. Let b(t) = -11*t + 51. Give b(k) + 3*u(k).\nAnswer: -8*k + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171\/2 + -85. Let z = -2145.9 - -2146. What is the closest to 1 in 2\/7, z, -5\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let n be -1 - -1 - 2 - -4. Let m(d) = 7*d - 1. Let q(j) = -20*j + 3. Let k(v) = 8*m(v) + 3*q(v). What is n*r(o) - k(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 31046 divided by -43\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42a (base 16) to base 5.\nAnswer: -13231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - 1.6. Let p = -6 - -6. Let j = 5 - p. Which is the closest to 0? (a) j (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 396 + -203. What is the second derivative of -846 - k*c**2 - 96*c**2 + 994 - c wrt c?\nAnswer: -578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7779268 micrograms to tonnes.\nAnswer: 0.0000000000007779268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i - 1 + 1)*(4 - 2 + 3) - i + 5 - 5 - 5 + 5 - 2*i + (-4 + 2 + 0)*(4*i - i - 2*i) + 3 + i - 3 + 2 + i - 2)*(-i**4 - 3*i**4 + 2*i**4).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.22 - 0.28. What is the nearest to -1 in -2, 1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 19. Let s = w - -0.5. Suppose -4*v - 30 = 11*v. What is the nearest to v in 0.4, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 35*i + 36. Let u be g(12). Suppose u*l = -6819 + 33363. What are the prime factors of l?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3033110 (base 5) to base 3.\nAnswer: 2111102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -195*r + 196*r - 72. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116 - 309*v - 59 - 61)*(1 + 2*v**2 - 1).\nAnswer: -618*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5335 divided by -3093?\nAnswer: -5335\/3093","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 1 + 7. Suppose -18 = -2*w - w. Solve -t = -4*o - w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j - j**2 + 0*j**2 + 11*j - 4. Let y be l(3). Suppose 4*v + n - 28 = 0, -6*v + v + 50 = y*n. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.824, -172, -0.3, -24 in descending order.\nAnswer: -0.3, -1.824, -24, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}