diff --git "a/data/dm_maths/full_data_1/10338_11255.jsonl" "b/data/dm_maths/full_data_1/10338_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10338_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify n**(1\/3)*n**9 assuming n is positive.\nAnswer: n**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 1\/((-3)\/(-60)). Let y be 58\/8 - (-5)\/o. Is 7 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9019 - 6339. What is d rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -10\/1591 (c) -0.5 (d) -4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5482, -42803, -144098, -341353, -666554, -1151687, -1828738?\n\"Answer: -5331*x**3 - x**2 - x - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 - -6947021667?\nAnswer: 6947021666.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5 - 34*g**4 - 124*g**3 + 136*g**2 + 528*g = 0.\nAnswer: -11, -6, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 0 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 728.2 + -721.0633. Round r to 1 dp.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5604 divided by -38132.\nAnswer: -1401\/9533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x - 2*j + 12 = -41*x, 2*x = -2*j + 4. Suppose -4 = 2*b + 2, 2*d - 33 = 5*b. Calculate the remainder when d is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -20. Suppose a = 2*l, 3*z - 2*l = -2*z - 1. Sort 5, z, -4.\nAnswer: -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 20 + 10 + c**2 + 7*c.\nAnswer: c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -5, 1\/2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2. Let y(x) = 3*x**2 - 15*x - 6. Suppose 5*p + 2 = -3. Let g(z) = p*y(z) - 18*t(z). Factor g(q).\nAnswer: -3*(q - 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -714*f. Let m(d) = -99843*d. Give g(m(t)).\nAnswer: 71287902*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 11) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-189)*6\/(-14). Let y = -139\/588 - t. Is y < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (175*n**2 + 1100*n**2 + 44353*n - 44352*n)*(0 + 4 - 1) in the form d*n**2 + g + t*n and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/14*(-32)\/6. Suppose -2*v + 20 = -f. Suppose -7*z = -5*z - v. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 5*v - 90 = 0, -79 = -2*i + 3*v - 2*v - 83 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -57*w**2 - 10*w + 13. Let z(k) = -58*k**2 - 9*k + 12. Let h(i) = 4*m(i) - 5*z(i). Let v be h(8). Round v to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3192\/399 + (-19)\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttdn when four letters picked without replacement from tndt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 900 in -0.11, 19, 5\/3, -23\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 3:39 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -455 by 497.\nAnswer: -65\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0, 5 in decreasing order.\nAnswer: 5, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-1539))\/((-3)\/(-27))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*s - 85 = 209*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*(297\/484)\/(-9)*-2\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3882 or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122210212001 + 100?\nAnswer: 122210212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189894747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -33. Which is the third biggest value? (a) 4 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 121 = 39. Suppose -4*m + a*c - 302012 = c, 75488 = -m - 4*c. What is m rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5474.649 minutes to nanoseconds.\nAnswer: 328478940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/42)\/((-3)\/18)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 - 36\/(-9) - 199\/(-597)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 + 0*d**2 + 0*d**2)*(3*d**2 - d**2 + 2*d**2)*(-2 + 3 + 1) to f*d**4 + b*d + x*d**3 + h + g*d**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = -2*k. Let a(t) = 4*t**2 + 22*t + 8. What is the units digit of a(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143424620 divided by 1787.\nAnswer: -80260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14342 and 808.\nAnswer: 57368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**4 + 2*j**4 + 8*j**4)*(-3 - 1 + 2).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 682\/5 - 136. Let a(t) be the first derivative of 1 - t**3 + 0*t + 0*t**2 + 0*t**4 + j*t**5. Find the third derivative of a(q) wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 16*w**2 + 45*w. Let y(z) = 15*z**2 + 42*z. Give -2*r(l) + 3*y(l).\nAnswer: 13*l**2 + 36*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (2926\/28)\/(3\/324)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.871 - -30.2547. Let w = 5.51 + -6.9. Let y = w + x. What is y rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.89 - -1. Let x = v + 4.89. Let m = -4.76 + x. Round m to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1800) + sqrt(1800)*3)*-2 + sqrt(1800))*-3)\/(sqrt(20)\/(sqrt(2) + (sqrt(20)\/(sqrt(10) + 2*sqrt(10)) - sqrt(2)))*-5).\nAnswer: -42*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 1 = p. Suppose w = 4*w - p. Suppose -z - 3*f + w = -6*f, -36 = -3*z + f. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 44*d**2. Let s(h) be the third derivative of h**5\/20 - 65*h**2 - 2*h. Calculate z(s(y)).\nAnswer: 396*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780 + 198 = -6*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 5106 = -5546. Suppose -3*s + 7 = -4*b, 2*s = -b - 3*s + 4. Let z be -2 - (1 - b - 9). Calculate the greatest common factor of x and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9983892 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1216) - (-2 + sqrt(1216) + sqrt(1216)*1))**2)*1 - 3*(sqrt(1900) + 1 + -3 + 0).\nAnswer: -62*sqrt(19) + 1231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 3334 - 655. What is the remainder when y is divided by 52?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 30.84. Let r = p + 2.84. Which is the fourth smallest value? (a) 5 (b) 1 (c) -1\/2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 31 + 85 - x**2 - 33 + 2838*x to the form z + o*x + w*x**2 and give o.\nAnswer: 2838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -43*d**4\/4 + d**3\/3 - d + 2. Let u be n(-1). Suppose 2*x + 8 = 0, 5*w - 3*x - u - 4 = 0. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = -4*y + 27, -5*y + 5*q + 45 = 0. Suppose 190*u = 189*u + y. What is the greatest common divisor of u and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**2 - 7*f. Let b(y) be the first derivative of 9*y**3 + 10*y**2 - y - 1. Suppose a = 5*a - 8. Let u(m) = a*b(m) + 7*o(m). Factor u(g).\nAnswer: -(3*g + 1)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000056399 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrjjtjtttp. What is prob of sequence rv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3330 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 11:11 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*o + 135 = 133, -d + 6 = -2*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 80414, 80426, 80438, 80450, 80462?\n\"Answer: 12*r + 80402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4 + 18478*z - 21*z**2 + 19*z**2 - 18498*z. Give k(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284 and 784?\nAnswer: 55664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/(-3825))\/(216\/612)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159328)\/22980 - 38\/(-6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 139f6b71 - 0?\nAnswer: 139f6b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.238602 rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyddlls. What is prob of picking 1 d, 1 y, and 2 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93 + 7*s**2 - 6*s**2 + 63*s**3 + 234 wrt s.\nAnswer: 189*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -1\/4 (c) 1 (d) -4\/11 (e) 1652\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26420760?\nAnswer: 2, 3, 5, 79, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8995 is divided by (-9 + (-6)\/(-1))*9\/((-54)\/44).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - sqrt(128)*-1 - (sqrt(6)\/sqrt(3) + 5).\nAnswer: -5 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*t - 40, -3*c = t + 73 + 7. Let m = c - -28. Factor 0*v - v**3 + m + 3\/4*v**4 + 1\/4*v**2.\nAnswer: v**2*(v - 1)*(3*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 1612*o + 4320*o.\nAnswer: 2708*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z**(-1\/2))\/(z*z\/((z*z**(-2\/3))\/z)*z)**(-43)*z**4*z*z*z**(-4)*(z\/((z**6\/z)\/z))\/((z*(z**(-2\/7)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(6823\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**2 + 3*q**3 + 5*q**2 + (-2*q**2 + 11*q**2 + 3*q**2)*(1 + 2*q - 1).\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(68) + -1*sqrt(68))*3)\/(sqrt(484) + sqrt(484)*-2)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*h + 7*h + 387, h + 613 = 3*w. What is the hundreds digit of (-2)\/(-1 - (-202)\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r - 1. Let j = r - -7. Solve 3*h + j = -y + 1, 3*y - 5*h = -12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787633.\nAnswer: 1787633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -139698000 rounded to the nearest 1000000?\nAnswer: -140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 9.7. Let s = -40.2 - -40. Which is the closest to -7\/2? (a) 2\/7 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 116*k**2 + 1733*k + 2328. Give n(19).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3)*9\/18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 997\/4 - 248. Which is the second smallest value? (a) 2 (b) d (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 + b**4 + 6*b**4 + (2*b + b**3 - 2*b)*((7 + 7 - 5)*(-8*b + 3*b + 4*b) + 2*b + 2*b - 5*b).\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 118091.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24577 - -24581. Solve 5*w = -g*b - 3, 63*b - 15 = 62*b + 4*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1964, -1\/29, 2\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 3*q**5\/50 - q**4\/15 + 13*q. Let f(v) = 0. What is v?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)*-5*(-5 + 4). Suppose 5*a - w*k = 20, 3*a = 3*k + k + 13. Let t = 54 - 49. Solve 2*q - a*o = t + 3, -5*q - 6 = -o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*y + y = -6, 0 = 2*x - 5*y - 4. Suppose 0*l - 6 = -x*l. What is the first derivative of -2*a**3 + 5*a**l - 2*a**3 + 5 - 5*a**3 wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -513, -531, -561, -603, -657, -723, -801?\n\"Answer: -6*z**2 - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 2220\/280 - 6\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2340*x**3 + 4376 wrt x?\nAnswer: 7020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 a factor of 22473110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 4*y = -489. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1174211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -18. Let s be 2\/c + 220\/32. Let z = 15 - s. Sort z, 4, 2 in increasing order.\nAnswer: 2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2001 + -1)\/(7\/70). Round m to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 4. Let g(p) = 3*p + 9. Suppose -5 = 2*l + 1. Let c be g(l). Which is bigger: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*d = 78*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 0. What is the remainder when 0\/(-6) - -7 - (-4 + 0) is divided by (-13)\/(-2) - 1\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-50)\/5)\/(-5))\/(1\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -289.9 take away 0.5?\nAnswer: -290.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**9\/126 - x**5\/5 + 3*x**2. Find the third derivative of b(t) wrt t.\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1952278*b + 1952341*b = -2142 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**5 + 808*u**4 + u**3 + 5*u**2 + 1297*u wrt u?\nAnswer: -180*u**2 + 19392*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 5 - 5 + 4 - 4 + k + (-3 - 1 + 3)*(-6*k + 2*k + 3*k) + 0*k + 2*k + 0*k - 2*k - 2 + 1 + 4*k.\nAnswer: 5*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46649 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 13. Suppose -8*f = -4*f - 5*i + 9, 3*f + i = h. Let d = 13 - f. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - 3) + (5 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2053*m**4 - 2*m**2 + 81 wrt m?\nAnswer: 49272*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/7 - 29\/28. Let q = 359 + -359. Sort 2\/3, -5, q, c in ascending order.\nAnswer: -5, c, q, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 123. Let i = v + 104. Suppose -4*z = -b + i, -3*b - 39 + 170 = 4*z. Calculate the remainder when b is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34902968?\nAnswer: 2, 317, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -85\/341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:55 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(4960\/(-24))\/10. Factor 27*p - n*p - 5*p**3 + 30 + 40*p**2 + 32*p.\nAnswer: -5*(p - 6)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 17*o - 341. Let w be d(29). Solve -w*c = -5*c - 2*r - 2, 4*r = -2*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from hhhhhhhvhuashahhh.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**3\/6 + y**2 + y. Let r = -17 + 12. Let d be u(r). Solve 0 = -3*p + 2 + d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3620 - 4*c**2 - 3620.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18751197 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.77583095 rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + 5*o - 1. Let d(r) = -r**2 + 2*r - 1. Let i(c) = -5*d(c) + 2*s(c). Give i(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 188 = 18*a. Let o be 2\/3 - (-56)\/24. Solve -v - 7 = o*c + 6, 2*v = -a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*d + 25*d + 3564 = 10*d - 64*d for d.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -726 divided by -242.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012212 (base 3) in base 6?\nAnswer: 14505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7845.3 - -7845. Which is the second smallest value? (a) q (b) 5 (c) 0.01 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/((-7776)\/(-132)) + (-9)\/6.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, 4, 12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n = -130*n + 1856 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f + 2*q - 6462, 5*q + 10 = 0. What are the prime factors of f?\nAnswer: 2, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14*o**3 + 182*o**2 + o + 14. Let m be u(-13). Which is the nearest to 0.1? (a) 2\/13 (b) m (c) -0.31 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632740 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24415 - 12693. List the prime factors of y.\nAnswer: 2, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 29662812*o**2\/5 - 219970574274021*o\/5 - 439941267199298\/5.\nAnswer: -(o - 14831407)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 14, n: 1}?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 5*h + 721 - 750, -5 = -5*c - 5*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 4)\/((-3)\/(-1)). What is the closest to 0 in -1\/10, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 124. Let o be t(22). Find the third derivative of -13*d**2 - 11*d**6 - 20*d**6 - o*d**6 wrt d.\nAnswer: -5400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**4\/8 - 161*y**2. Let m(n) = -35*n. Give m(p(i)).\nAnswer: 105*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32920173 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7108*u**2 + 3556*u**2 + 3553*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 18 = 40. Suppose 4*u + 4*h + 4 = 0, -3*u + 0*u + 5*h = -v. Suppose 0 = -2*r - 0*r + u*k + 7201, 0 = -4*r - 2*k + 14362. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -109169*u. Let p(r) = -36*r**2. What is p(c(n))?\nAnswer: -429043340196*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42104, -86823, -131546, -176273, -221004, -265739?\nAnswer: -310478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38259030.\nAnswer: 2, 3, 5, 229, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 v, and 1 i when four letters picked without replacement from vnsivnivisiv?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4920 and 10585872.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 1, e: 2, i: 2, u: 1, l: 1}. What is prob of picking 2 e and 1 u?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1178996 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 901624625 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*m - 109*m**2 + 181*m**2 - 89*m**2 + 3*m.\nAnswer: -17*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 468097581 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3527905609.\nAnswer: 3527905609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7)*(-154)\/56375*25.\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 703783*w**3 - 455872 with respect to w.\nAnswer: 2111349*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -9)\/((-8)\/(3 - 2)). Which is greater: -62 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 4*z. Let s be h(4). Solve -4*j - 20 = -s*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 25*o**2 - 94*o + 385. Calculate t(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1966 + 1966.1. Which is the closest to -11? (a) 1 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102438, -102443, -102452, -102465, -102482, -102503?\nAnswer: -102528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -24. Suppose -4*i + p*i - 12 = 0. What are the prime factors of i\/((-27)\/30)*-3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8897 divided by -74?\nAnswer: -8897\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**38*i**1\/i**(-1\/4))\/((i**(-1\/3))**11*(i*i*i\/i**(2\/3))**(1\/44)) assuming i is positive.\nAnswer: i**(943\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhy when three letters picked without replacement from qggggnhyqn?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (1 - (-10 - -4))) + -22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouuk when four letters picked without replacement from ouuykkuuypoovuvkvkuo?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 9:22 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -3*o**2 + 1\/75*o**6 + 0*o**4 + 0*o + 0 - 1\/280*o**8 + 0*o**5 + 4\/525*o**7 + 0*o**3. What is j in q(j) = 0?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 111 = 2*o, 78 = -a - 2*a - 5*o. Let h = a - -54. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 95 = 5*k + c, 0 = 3*c - 15. What is the highest common factor of 30 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -689 - -1115. What are the prime factors of b?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 6 - 0) + 5 - 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**4 - 15*f**2 + 2*f**3 + 19 + 17*f**2 + f - 17 as z*f + a*f**2 + m + v*f**3 + g*f**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.006 - -25.006. Let f = 22 - d. What is the closest to -1 in f, 0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3252 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let m(s) = -4 - 3*s**2 - s**2 - 1 + 12*s**2. Calculate m(u(b)).\nAnswer: 8*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6 - 1 - 11 - 19 + 3*l. Let o be v(9). Suppose 0 = h + o*h - 3, 0 = 4*u + 3*h - 3. What is u rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 7*y + 8. Let l(w) = -w**2 + 6*w + 7. Let d be 91\/(-14) + (-1)\/(-2). Determine d*l(s) + 5*r(s).\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1086 and 126.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -694 - -691. Let m = 3.1 - 0.1. Suppose 0*x - 2*x + 2*d = 6, -3*x + 2*d = 7. What is the nearest to x in -4, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6354 + 649*g + 6354 as u + b*g and give b.\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14086 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-103.\nAnswer: 133.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*i + 3. Let m(s) = -s**3 + s. Let g(j) = -6*j**3 + 4*j. Let b(v) = i*g(v) + 5*m(v). What is the second derivative of b(t) wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*v - 22*v**2 + 23*v**2 + 5*v - 5*v - 114 wrt v.\nAnswer: 2*v + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4620 and -13861\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-9)*-3 + 11 + 159 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**2 - 3*l - 9. Let d(b) = 3*b**2 + 2. Determine -7*d(o) - z(o).\nAnswer: -27*o**2 + 3*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 65\/15 + (-1)\/3. Suppose -3*x = -2*y + 3 - v, 2 = 4*x - 3*y. What is the third derivative of 152*w**4 - 152*w**4 - 2*w**6 - x*w**2 wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -1189, -1834, -2503, -3190, -3889?\nAnswer: -4594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 0*w)*(-15 + 10 - w + 4).\nAnswer: w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15*x + 13*x = 3025, 3*x - 3000 = -5*f. Let m = -309 + f. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = w + 1, -5*h + 10 = 0. Suppose w = -2*f + 1660 + 486. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(-1) - 30247\/(-1218). Let y be (-3)\/(-2)*935\/117. Let g = h - y. Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (91 - 91 - 32*o)*(2 - o - 2) as d*o**2 + w*o + g and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1696*p - 40344 - 13928 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Suppose g + 0*g + 15 = -2*f, 3*f = c*g + 10. Sort 5, -2, g.\nAnswer: g, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/11))\/l*l**3*((l**2\/l)\/l)**(3\/5) assuming l is positive.\nAnswer: l**(35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24888.8 + 24889. Let f be (2\/6)\/((-2)\/4). What is the nearest to 0 in d, f, 2\/5, -12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -219, 3\/4, 2\/977, 0 in decreasing order.\nAnswer: 3\/4, 2\/977, 0, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14157 + 14256. Calculate the greatest common divisor of 117 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/9 in -3\/31, 1, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*s**2 + 258*s**2 + 60*s**2 + 108*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 105, -139, -367, -573, -751, -895?\n\"Answer: a**3 + 2*a**2 - 257*a + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 165 - 9*h**4 - 2*h**3 - 165 + (4*h - 2*h - h)*(-h + 4 - 4)*(0*h**2 - 2*h**2 + h**2).\nAnswer: -8*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -r + 3*r - 4, 4 = -r + 2*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5598 is divided by 563.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) 3 (b) 0.5 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298913404 to the power of 1\/2, to the nearest integer?\nAnswer: 17289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 188 + 82. What is h rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 44?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 739552 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42979929.\nAnswer: 3, 61, 234863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 - 5.400056. Round q to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268582078?\nAnswer: 2, 31, 4331969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.2 (c) -10 (d) 71 (e) -33 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, h: 4, s: 3, p: 9}. Give prob of picking 1 h, 1 s, and 1 p.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 66797953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - q**2 + q**2 + (0 + 0 + q)*(0*q - 2*q + 0*q) + (-q + q + q)*(-2*q + 0*q + 3*q + 2*q + 2 - 2 + (q - 2*q + 0*q)*(4 - 3 - 2) - 2*q - 2*q + 6*q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2 (b) 3.531 (c) -0.5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2212*o + 57339 - 561 = -53285 + 19371 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 14. Let x be -14700*((-57)\/(-27) + -1)*h. Round x to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x + 239. Is n(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 1\/60*s**5 + 1\/24*s**4 - s**2 + 3\/2*s**3 + 0*s + 0. Give l(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11987 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 15. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 8*x**2 + 1. Let i be q(8). Suppose -21 = -4*l + 7*l. Put -2, i, l in decreasing order.\nAnswer: i, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188619174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 n when three letters picked without replacement from {n: 3, x: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + (sqrt(539) + 0)*-4 + ((sqrt(110) - (sqrt(110)*-1 - sqrt(110)))*-6)\/(sqrt(30)\/sqrt(3)*-1))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*o = 1703, -2*y + 1694 = 4*o - 2*o. Suppose -18*z + y = -14*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (28 - 15) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**5 - 6681457*g**3 + 92666595*g**2?\nAnswer: -180*g**2 - 40088742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 290639 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - g**3 - 8*g**2 + 6*g**2 - 2*g**4 + 4*g**2 to the form z*g + j + k*g**3 + c*g**4 + l*g**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1430\/208)\/(165\/(-44))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101100010000011010 + -10000?\nAnswer: 101101100010000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 118*v + 202. Give k(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33459998)\/10 - (-16)\/(-80). What is j rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 4*s**4 + (-2*s - 2*s + 5*s)*(0*s**3 - s**3 - s**3) - 2*s**4 + 0*s**4 + 3*s**4 + s**4 - 3*s**4 + 0*s**4.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/25196292 and -31\/66.\nAnswer: 25196292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1893*h + 3548 = 1807*h - 3418 for h.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j - 1451 + 1395 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 5 + 0)*(0 + 1 - 3) + 2 + 1 - 2)*(-2*y**2 + 3*y**2 - 2*y**2) + (-5*y + 20 - 23 + 3*y)*(14 - 14 + 4*y) as z*y**2 + p*y + r and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -356.19 * -1\nAnswer: 356.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8458010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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 f be (-4)\/(-14) + (4 - 195\/21). Put -12, -3, f in increasing order.\nAnswer: -12, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43821 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26086095 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*g - 21*g + 715 = -4*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -25. What is the second biggest value in p, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g**2\/11 + 100290*g\/11 - 400776\/11 = 0. What is g?\nAnswer: 4, 16699\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/(6\/54). Let d(g) = -3*g - 18. Let c be d(s). Suppose -16*p + 13*p + 111 = c. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/11 + ((-1885)\/143 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {l: 2, g: 1, x: 1, k: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/17 - 23526*p**2\/17 + 424004*p\/17 - 77616 = 0. Calculate p.\nAnswer: -11781, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 15 = 48. Let n = -18 - j. Suppose 72 + 27 = n*i. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -13.6436858?\nAnswer: 0.818621148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8807.65 - -9005. What is x rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - l + 283 = 1874, 0 = -3*o - 2*l + 4748. Suppose 0*n = 4*m - 2*n - o, -n - 1189 = -3*m. Is 56 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)\/l**3)**(1\/10)\/(l**(1\/5)*(l*((l\/l**5*l*l)\/l)\/l)\/l*l*l)**(1\/8) assuming l is positive.\nAnswer: l**(-13\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7214, -28853, -64918, -115409, -180326, -259669?\n\"Answer: -7213*a**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - 15) - (82 - 115)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.29, -0.5, -76?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/35938 and 99\/136.\nAnswer: 143752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 10*f - 1. Let l be n(-11). Suppose 316 = l*o + 16. What is the third derivative of o*s**2 + 27*s**3 - s**5 - 25*s**3 + 3*s**5 - 6*s**2 wrt s?\nAnswer: 120*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306316 divided by 76579?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -511002248819392*p**4 + 1020719769415280*p**3 + 2568379787292*p**2 + 2153018669*p + 601526.\nAnswer: -(p - 2)*(79948*p + 67)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*s - 12 - 6, 0 = b + 2*s - 13. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/12138852 and -8\/35.\nAnswer: 424859820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.04889 millennia to years.\nAnswer: 41048.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.8 + -0.8. Suppose -8*j + 30 = 2*j. Let v be (-2)\/8 + (-1)\/(-2). Which is the nearest to j? (a) -3 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/((-100)\/12)*(-184)\/28)\/((-2)\/(-7)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 129*l + 6 = -128*l, 3*y - 5*l = -18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29568178 and 153134.\nAnswer: 6658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183.19063 days to weeks.\nAnswer: 26.17009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/13*4\/8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -865*p**6 - 328*p**2 + 2*p wrt p?\nAnswer: -103800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, l: 2, z: 2, n: 6, f: 1}. What is prob of picking 1 n and 1 z?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 122*r**2 + 174*r - 1753. Is 12 a factor of w(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 34. Let v be m(-6). Suppose -8 = -r - r. Suppose 0*u - v = -r*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13719 - -13716. Let t = -0.8 + 7.8. Let f = t - 4. Sort 2\/51, f, v in ascending order.\nAnswer: v, 2\/51, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6030 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/2 + -2. Let w = -150 + 160. Suppose w*b - 10 - 10 = 0. Is r less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + h - 2*h + h + h + 0*h + (-4*h - 3*h + 5*h)*(-4 + 3 - 1) - 12*h + 13*h - 228*h + (-2*h + 2 - 2)*(0 + 2 - 3).\nAnswer: -217*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2979 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -101344000342?\nAnswer: 101344000404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w**2 + 28*w**2 + 110*w**2 - 13*w**2 to the form o + x*w + n*w**2 and give n.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/9 - (-1)\/(-3). Suppose 0 = -4*g + 12, 0 = y - h*g - 6 + 21. Factor -1\/3*f**3 + y*f - f**2 + 4\/3.\nAnswer: -(f - 1)*(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)*s*s*s*s*s*s**11)**(7\/2)*(s\/(s\/(s**(-1)\/s))*((s*s**(-2\/7))\/s)\/s*s)\/(s**(2\/3))**(-50) assuming s is positive.\nAnswer: s**(18427\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/7 (b) 2\/7 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*a = 217*a. Put -3, a, 5, 12 in increasing order.\nAnswer: -3, a, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206275 divided by -925?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -125*x. Let b(l) = 125*l. What is -5*b(q) - 4*k(q)?\nAnswer: -125*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 165\/(-44))\/(1\/4). Is (-6)\/9 + (-6497)\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -2*q**6\/15 - 3*q**5\/5 + 4*q**4\/3 + 35*q. Find l such that b(l) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 990590709 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) 1 (b) 0 (c) 64.82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 10*l**2 - 9*l + 4. Let o be q(-9). Suppose 9*y - 4*y = -o*t + 107, -2*y = 5*t - 121. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cceecdeedcc?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3501*a - 3509*a + 30*a**3 + 7033*a - 2*a**2 to h*a**3 + o*a + f*a**2 + k and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 18, k: 1}. Give prob of sequence jjk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*r - 36. Suppose -4 = -5*w + r. Solve -1 - 3 = w*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216844150 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 3:43 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 92 (b) -4811 (c) -5 (d) -1\/619\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.331 and 7?\nAnswer: 2.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 655496268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33327955363043 - 1.\nAnswer: -33327955363044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 22 = -5720. Suppose -3*b = -b - d. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5757984, 5757980, 5757976?\n\"Answer: -4*s + 5757988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*k - 76 = 0, 55*w = 59*w - 2*k + 70. Calculate the remainder when (-4)\/(-2)*(-152)\/w is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -q - 12, 9*q - 6*q = 4*l - 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -855*f**2. Let c(i) = 25*i**2 + 1. What is c(t(z))?\nAnswer: 18275625*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 7:32 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23168.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w - 4. Let r be n(-5). Suppose -r = -5*t + t. Suppose 0*i - 3*g - 280 = -5*i, 246 = t*i + 2*g. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24621 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6885 divided by -3.\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -363.92 - -356. Let q = j + 8. Let z = 3029 - 3033. Do q and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b6 - 26?\nAnswer: -1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + y. Let b(r) = -5*r**2 - r - 2. Let n(v) = b(v) - 4*g(v). Let k be n(-4). Let h(m) = -k*m + 3*m - 2*m + 5 + 0. What is h(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (144\/(-6))\/(-6)*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1508 + -1501. Let u(x) = -x**3 + 6*x**2 + 11*x - 32. Determine u(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-37 + 18)) + -16 - -28?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40998919 or -0.2?\nAnswer: 40998919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 5:43 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 937938, 3751743, 8441416, 15006957?\n\"Answer: 937934*q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11))*5 - (sqrt(33)\/sqrt(3) + 4))**2.\nAnswer: -32*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -474, -476, -478?\n\"Answer: -2*u - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -18*h - 108. Suppose 264*o - 42 = 271*o. Let r be f(o). Suppose 2*w - 6*w - 4 = 0, 5*t - 2*w - 7 = 0. Solve r = -4*d - 19 - t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 40781.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -63, -116, -169?\n\"Answer: -53*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 7*a**2 - 6*a + 4. Let k be g(6). Solve -k - 5 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-3) + -4)*(33 + -30). Let t be 8\/2 + -35 + -25. Sort 3, t, f.\nAnswer: t, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 91385.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*d + 8*d. What is the first derivative of 2 + t**4 + 6*t**4 - d*t**4 wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 0*u - 240 = 0. Suppose -5*z + 80 + u = 0. Suppose -4*b + 0*b = -z. What is the lowest common multiple of 15 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -398, -400, -402, -404?\n\"Answer: -2*s - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 639 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -23*x + 28. Let d(n) = 22*n - 24. Determine -6*d(w) - 5*r(w).\nAnswer: -17*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -3. Let q(a) = -a**3 + 10*a**2 + a - 4. Let v be q(x). Suppose 0 = -m + v + 5. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - d**2 - d - 1. Let x(o) = 4*o**3 - 18*o**2 + 46*o - 42. Let v(k) = -x(k) + 10*z(k). Let v(u) = 0. Calculate u.\nAnswer: -4, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-13) + 72\/468.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -0.3, -1, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5 - 57\/(-135)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + t - t + (-2 + 4 - 1)*(-t + 3*t + 0*t) - 4*t - 6*t + 4*t)*(6*t**3 + 14*t - 14*t) in the form j*t**2 + d + q*t**3 + x*t + v*t**4 and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h + 73. Suppose -8 = -11*k - 217. Give z(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*c + 18. Suppose 3*d = 2*v + 4, c*d + 5*v + 3 = 14. Solve -d*j + 2 = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 17*w**2 + 38*w + 9. Let z be h(19). Solve u - 5*g + 33 = -u, -g = -u - z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (1 - -1) + (-42)\/(-3) and 84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 13. Let i be ((-201)\/60 + g)*-4. Is 1 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/56*(-8)\/6)\/(87\/((-13398)\/88)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/8 and 5\/6848.\nAnswer: 6848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/36)\/(-2)*9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 786.697 + -787. What is i rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55.916 + -0.084. Let n = 55.9 + y. Sort 0, -0.68, n.\nAnswer: -0.68, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 2. Let c be h(0). Let w be (-5)\/(-10) + c\/(-4). Let f = w + 4. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*c**3 + 246*c**3 - 129*c**3 - 3.\nAnswer: 8*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6 + 23*o + 7 - 24*o. Suppose 3*n = -0*n + 5*s + 41, 3*s = 3*n - 33. What is the units digit of a(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4 + 5*j - 3*j)*(-30 + 186 + 56 + (-2 - 2 + 7)*(1 + 0 - 2) + 1 + 2 - 5).\nAnswer: -414*j + 828","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1892 + 1891. Which is bigger: l or -11\/65?\nAnswer: -11\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.057 - 0.057. Which is the third smallest value? (a) 4 (b) -2\/3 (c) -1\/4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 6. Let a(j) = -2*j - 68. Calculate 3*a(p) - 30*s(p).\nAnswer: 24*p - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 644?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*s)*(-s**3 - s**3 + 3*s**3) + (0*s + 0*s - 2*s**2)*(1 + 2*s**2 - 1) - s**4 + 4*s**2 - 4*s**2.\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 17*k - 15. Is 11 a factor of g(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Suppose 0*x - m*x + 10 = 0. Let g(c) = c - 6. What is g(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -1\/4*j**4 - 2*j - j**2 - 2 - 4\/3*j**3. What is the units digit of h(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31 - -0.01. Let j be (13 + -14)\/(1\/(-52)*2). Which is the closest to j? (a) u (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - -4 - 41\/4. Is -4 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**2*l)*l\/(l\/l**(-4\/5)))\/(l\/(l\/((l\/(l*l\/l**(-1\/8)))\/l))*l**6\/l) assuming l is positive.\nAnswer: l**(-67\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 110\/15*828\/(-506)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -73*q + 1603. Calculate w(20).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*z - 3*b, z + 0*b - b = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i\/i**(2\/7))\/i)\/i))**1\/((i*i\/(((i**13\/i)\/i)\/i))\/i)**(-23) assuming i is positive.\nAnswer: i**(-1433\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 0.9. Are b and 187 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/63*-21*28\/(-196).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*l - 4*y, 0*y + 16 = -3*l - 5*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (22384\/(-48))\/(1\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/114 and -145\/8986734?\nAnswer: 8986734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f*f\/(f**19\/f))\/f)*f**(-3) assuming f is positive.\nAnswer: f**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 107055 = 16*x - 77217. What is the highest common divisor of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 8*a**2 + 3*a + 2. Let g be j(-6). Suppose -4*s = 8 - g. Does 16 divide (s\/(-8))\/(6\/(-64))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46537473.\nAnswer: 3, 47, 330053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -139*r**2 + r + 20085. What is the thousands digit of k(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*w + 158*w - 2 + 3*w**2 + 5 - 71*w.\nAnswer: 3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*k - 99. Suppose 0 = 21*w - 9*w - 1236. Let g = k + w. Solve 0 = 5*j - g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 421*i**4\/12 + i**3 + 3*i**2 + 18*i. Let l be f(-1). Suppose -l = -4*o - 93. Is 41 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/140*-4*-5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 5:19 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125003 + -0.1503.\nAnswer: -125003.1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 207 - 211 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 97 = 2*z - 21, 4*l - 162 = -z. What is the remainder when l is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -18. Suppose 0*m + 20 = o*m. Solve 3 = -a + m*g + 7, 3*g + 18 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 327*x - 30. Let w be j(4). Suppose -d = 2*h + 2*d - 1264, -2*h + 4*d = -w. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021010002210010 (base 3) to base 10\nAnswer: 18130071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1112+-2667\nAnswer: -3779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(5) - sqrt(50)\/(sqrt(10)*4)) + ((-1 + sqrt(45))**2 - (-1 + (sqrt(5) + -1)**2)).\nAnswer: -13*sqrt(5)\/4 + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 3*d**2 + 4*d + 2. Let l be s(4). Let j = 395 + -380. Suppose j*t = 2*t + l. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37, -58, -79, -100, -121?\n\"Answer: -21*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 365, -29, -3 in decreasing order.\nAnswer: 365, 3, 0, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 15*y + 7. What is u(18)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1 + 9*z**2 - 10*z - 18 - 8*z**2. Let j = -2581 - -2592. Give g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u. Let m(b) = -136*b - 24. Let s(x) = -679*x - 132. Let f(g) = -11*m(g) + 2*s(g). Calculate f(p(z)).\nAnswer: -690*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 - -7) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 202 = 4*h - 206, -z - 5*h + 5 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*i + 6*i = 0, 0 = 5*z + 5*i. Solve 0 = -4*k - 2*m - 14, -4*k - 4*m = -z*m + 24 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 2761 (c) -2\/7 (d) 11.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*o - 90 = 0, -45 = -y + 12*o - 9*o. Calculate the lowest common multiple of 5 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**2*o + 16*h*o + 51*o + 1 with respect to h.\nAnswer: 8*h*o + 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1210364.\nAnswer: 2, 31, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ypyyyyypyyyypyyy.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-6 + 3)) + (9 - (0 + 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 1 - 1 + (3*c + c - 2*c)*(-c - c + 0*c) + 2*c**2 - 5*c**2 + 0*c**2)*(3 - 4 + 6).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 3*k. Suppose -k*h - 4*b + 42 = -0*b, 4 = -2*b. Suppose 0 = -3*w - 6, 5*w = 5*g - 3*g - 28. Which is smaller: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (3*sqrt(648) - sqrt(648)) + sqrt(18))\/(2*sqrt(729)).\nAnswer: 7*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 3, b: 13}. Give prob of picking 2 b.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssscsnsjjjjjjjnj. What is prob of sequence nsn?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1722 divided by 6.\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45173 or -45174?\nAnswer: -45173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4538 + 4541. Solve b*r = 17*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*d**2*g**2 - 60*d**2*g - 45910*d**2 - 240*d*g + 416*g**2 + 11 wrt d?\nAnswer: -20*g**2 - 120*g - 91820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*b**4 - b + 3 + 33*b**4 - b - 4 + 14*b**3 as u*b + c*b**3 + q*b**4 + h*b**2 + z and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103000 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -8. Let x be g + 9 + (-3 - 0). Suppose -6*c - 47 + 245 = x. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + -18. Let n be g\/10 + 4\/(-10). Let v = -2 + -3. Sort 0, v, n.\nAnswer: v, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3712787*b**2 - 3342237 wrt b.\nAnswer: -7425574*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 3328?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 z when four letters picked without replacement from {s: 1, z: 12}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -48*n**4 + 44*n**3 + 8*n**2 - 4*n = 0.\nAnswer: -1\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*n + n + b, 2*n = -2*b - 4. Let i = n + 5. Let x = 2 - -8. Solve 3*o + 2 = -x, 0 = i*u + 3*o + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i = 34*i + h - 8 + 10, 10 = -2*i + h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/18 and 117\/836?\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 244 (b) 0.8 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/168 and 71\/19320?\nAnswer: 19320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -13*l + 1\/6*l**7 - 17\/6*l**3 + 0*l**4 + 0*l**6 + 0*l**5 + 0 + 0*l**2. What is the second derivative of u(z) wrt z?\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 1.1 (b) -0.4 (c) -5 (d) -237\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 463, 1854, 4171, 7414, 11583?\n\"Answer: 463*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -50. Suppose -s = 5*n + 10. Let l be (-56)\/n*(-18)\/(-7). Calculate the highest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.070368 to 3 decimal places.\nAnswer: 1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 966 and 5796.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w - 10. Let a be s(-6). Let r = a - 53. Let o be -1 + -6 - (5 + -15). What is the nearest to o in -2\/3, -1, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13176537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*i = 40, 3*i = 4*w + 4*i - 24. Let u = 25 - w. Suppose -t - u = -m, -3*t + 50 = 2*m + 2*t. Solve -c - m + 4 = 5*h, 4*c - 36 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11575840 divided by -8152\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d = 25138 - 26515624. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -294 + 294. Suppose l = -2*i - 4*g + 270, 0 = i + i + g - 261. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 721450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 8. Let o(s) = -s**3 - 2*s + 1 + 2*s. Let w(p) be the second derivative of -p**5\/2 + 4*p**2 - p. Give t*w(y) + 8*o(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4824342619 to the power of 1\/2, to the nearest integer?\nAnswer: 69457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**2\/2 + 308. Let v(d) = -d - 1. Let f = 0 + 1. Determine f*c(a) + v(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-167541)\/(-44))\/((-30)\/(-440)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -133*z**2. Let f(c) = 9*c**2. Determine h(f(r)).\nAnswer: -10773*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1803 and 3106.13?\nAnswer: 3106.3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlillqlliqlqiqqiq. What is prob of sequence qqil?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1050 or -1049?\nAnswer: -1050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:43 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 = -1. Let p(h) = 0 - n + 0*h - 4*h + 2*h. Let v be (4 + -2)\/((-4)\/8). Calculate p(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 36375*x + 4036256\/3.\nAnswer: (x + 37)*(x + 109088)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -552 + 552.2. Let y be 8 - (33\/(-44))\/(1\/(-4)). What is the fourth biggest value in -0.6, f, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 362604 and 109344?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -11*j**3\/2 - 276539*j**2 + 603382*j - 100564 = 0?\nAnswer: -50282, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/342 and 3\/36746.\nAnswer: 330714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 6, b: 1, n: 5}. Give prob of sequence un.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*v = 13*a - 9*a - 1123, -v = 4*a - 4*v + 4*v + 47 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 200583454?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaoooalloddooagoo. What is prob of picking 2 a?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-15)*-6*27237\/(-1297).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l. Let w(f) = f + 0*f - 2*f - 2*f. Calculate w(j(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -2512.7.\nAnswer: 2507.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.5 (c) -2.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6567 * -0.1.\nAnswer: 656.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6155533 hours to nanoseconds.\nAnswer: 2215991880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 64754, 258987, 582706, 1035911, 1618602, 2330779?\n\"Answer: 64743*y**2 + 4*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m**5\/3 - 120904*m**4\/3 - 29352872*m**3\/3 + 42307424*m**2\/3 + 31352848*m\/3 + 4820480\/3 = 0.\nAnswer: -224, -2\/7, 2, 2690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/10 + 311*r**4\/5 + 103323*r**3\/5 + 20290*r**2 - 1028221*r\/10 + 309027\/5 = 0 for r.\nAnswer: -239, -3, 1, 862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 3*j - j. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2627741, -3, 3 in increasing order.\nAnswer: -12, -3, 3, 2627741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*(-24)\/5. Which is the smallest value? (a) 8 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -5, 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-189)\/252*(-16)\/6. Suppose f - 24 = -2*f - s, -t*s - 8 = -f. Solve -2*b + 10 = -2*l - 6*b, 0 = -2*b - f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*q + 3*q + 1750, -3521 = 4*s + 3*q. What is the tens digit of (s\/(-6) + 2)\/(6\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1.052138ns in milliseconds?\nAnswer: 0.000001052138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 14*p + 9. Let v be o(9). Let x = 38 + -53. Let i = x - v. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 27*f**2 + 15230*f + 1117. What is w(-564)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/5)*m))\/m*m**(-4)*((m**(-1\/2)\/m)\/m)**(-47)*((m\/(m**7\/m))\/m*m*m*m**(4\/7))**40 assuming m is positive.\nAnswer: m**(-1711\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 5. Let f be (-8)\/2 + (-8 - -7). Let y be p(f). Solve -y*x = -4*s - 2, 5*x - 16 = x - 4*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 269.2336 litres?\nAnswer: 269233.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from xwwkkxxxwwxx.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -22 + 2*q - q + 7*q + 74. What is p(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23521 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 1. Let a(x) = -39*x**2 - 3*x. Let c(p) = -a(p) - 3*g(p). Let u(t) = 13*t**2 + 1. Let m(z) = 4*c(z) - 11*u(z). Differentiate m(j) wrt j.\nAnswer: 26*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -94 + -24 - -27?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = 0, -3*n + 2*n + 4 = y. Sort 4, 2, y, 77.\nAnswer: y, 2, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.207521 years to decades.\nAnswer: 0.0207521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7122 and 9823612.\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 3. Suppose 0*c + 4*c - h - 16 = 0, 4*c + h = 24. Let r(n) = -3*n**3 + c*n + 5*n**2 + 0*n + 2*n**3 + 4. Let i be r(6). Determine q(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + r - 88*r + 74*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 539113054*c - 324484865 with respect to c.\nAnswer: 539113054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*g - 436 - 2026 - 1548*g.\nAnswer: -1182*g - 2462","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**8\/84 - 8*o**7\/7 + 3*o**5\/10 - 71*o**4\/12 + 3071*o**2. What is the third derivative of l(h) wrt h?\nAnswer: -240*h**2 - 5760*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*h = 20 + 4, 24 = 3*t + 3*h. Let x = -32 - -14. Let p(g) = -g**2 - 18*g + 7. Calculate the least common multiple of p(x) and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3500, -14021, -31550, -56081, -87608, -126125?\nAnswer: -171626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38\/10 - (-24)\/(-30). Solve -5*b - m = 0, -y*m = -b - m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 3*d**2 + d + 1. Let l(p) = p - 2. Let h be l(-2). Does 6 divide t(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -2*c**3\/3 + 8*c**2 + 18*c + 382. Suppose i(a) = 0. Calculate a.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4327, 8652, 12977, 17302?\nAnswer: 21627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) 189 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + 0 - (-9 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**2 - 3*y**2 + 3*y**2)*(2*y**2 + 3*y**2 - 4*y**2) - 6*y**4 + 318*y**2 + 12*y**4 + 2*y**4 as l*y + h*y**3 + t + n*y**2 + a*y**4 and give n.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f\/(((f**13*f*f)\/f)\/f)*f)))\/(f\/(f\/f**(-9\/5))*f)*f**13\/f**6 assuming f is positive.\nAnswer: f**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-18)\/n**14 assuming n is positive.\nAnswer: n**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 2715933748.\nAnswer: 2715933750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/90)\/(2\/(-5)). Let x = -0.21 - -0.21. Let r = x + 0.1. Put -0.2, d, r in descending order.\nAnswer: d, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (0 - -4)) + -2 - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 169*d + 5070.\nAnswer: (d + 39)*(d + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1414001 + 13010?\nAnswer: -1400441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Suppose 4*l = j + 9, -w*l + l + 11 = -2*j. Let d = -242\/9 - -10657\/396. Which is bigger: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14050 times 22\nAnswer: 309100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, a: 2, y: 1}. Give prob of sequence ryr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuduuuuudduuuuu. Give prob of picking 4 u.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*p - 24, -2*p - 66 = -4*a - 0*p. Solve -3*o - a + 3 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/15*12*3\/192*8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 34*j - 16. Suppose 0*b + 4*b + 2*t = 586, -2*b + j*t = -318. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/11)\/(p*p\/p**(5\/4)*p))\/(p*p\/p**10*p**9))**(-7\/8) assuming p is positive.\nAnswer: p**(679\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 138, 1 in ascending order.\nAnswer: 1, 4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/3805?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -604, -1292, -2236, -3430, -4868?\nAnswer: -6544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, 43, 155, 375, 739, 1283, 2043, 3055?\n\"Answer: 6*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yylygyyglyyyyery. Give prob of sequence regg.\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 3*u - 41. Solve 2*o + u - 12 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**7\/56 + n**6\/20 + n**5\/8 - 3*n**4\/4 + 38*n**3 + n**2 + 124. Let r(a) be the third derivative of v(a). Factor r(d).\nAnswer: -3*(d - 1)*(d + 1)*(5*d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 478*w - 472*w. Suppose -w*f = -22*f + 12. Solve 4 = -f*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131300214 (base 6) to base 13.\nAnswer: -6c8857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times -33\nAnswer: 5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*z = -316*z + 48. Let a(o) = 2*o**3 + 8*o**2 - 8*o + 8. Let r(s) = s**3 - s**2 + s - 1. Give z*r(t) + a(t).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -14*f**3 + 3*f**2 + 4*f + 6. Let n be x(-2). Suppose 0 = -2*y + y + 131. Let w = n + y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96517.4530105 + 96549.453. Let n = 12 - -20. Let f = l - n. Round f to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1358 - 2*r - 108*r**2 - 843*r**3 + 1358 - 2716 wrt r?\nAnswer: -5058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7374, 7363, 7344, 7317?\nAnswer: 7282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + d = -0*d - 676 + 679, -5*l = 3*d - 9 for l.\nAnswer: 0","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 bel?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -3) + -10 - (-8 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3646 and 5469.\nAnswer: 10938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*a + 12 = 0, 2*a - 15 = 3*g + 7*a. Suppose -1737 = -f - 4*c - g*c, -3*c = -4*f + 6853. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.02 - 0.02. Let a = 3.5827 - 3.8827. Sort -1\/5, 0.5, a, q in decreasing order.\nAnswer: q, 0.5, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, 20, -1, 5, 4368 in decreasing order.\nAnswer: 4368, 21, 20, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from ihzenxxe.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58472553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (-9 + -20)) + -104\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 265724701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvaiiiavaav. Give prob of sequence vv.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**4\/4 + 2*z**3 - 4*z**2 - 36. Let s be (-4)\/(-8) - 2\/((-8)\/(-30)). Calculate the remainder when 13 is divided by x(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1756, -1748, -1736, -1720, -1700?\n\"Answer: 2*j**2 + 2*j - 1760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*f - 2*q - 3873, -60 = 2*f - 2*q + 36 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 506762 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -631 <= 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/24 and 31\/19016?\nAnswer: 57048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280.504 litres in millilitres?\nAnswer: 1280504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -14.85\nAnswer: 12.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.13336km in micrometers?\nAnswer: 74133360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0212 + 0.0005. Let f = h + -0.023. Round f to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v - 14*v = -11*v - 104 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2327*j - 5365*j = -57722 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ulluuluuuul?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0072244km to centimeters.\nAnswer: 722.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1378*o*w**2 - 4*w**2 - 160*w wrt o?\nAnswer: -1378*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 - 12*v**4 - 15*v**3.\nAnswer: 3*v**3*(v - 5)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*r + 224*r = 10. Which is smaller: 10\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 147*d**5 + 101892*d**4 + 17485131*d**3 + 924804738*d**2 + 4298398164*d + 5035832856 = 0.\nAnswer: -467, -774\/7, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3356053 (base 7) to base 4.\nAnswer: -1211322331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11772 - 0.41772. Sort l, 1.39, 16.\nAnswer: l, 1.39, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 12*z + 13. Let g be y(-13). Suppose -c + g*c = 0. Let r = 4257 - 4258. What is the nearest to c in r, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -2\/3 (c) 1.8 (d) -3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0 (c) -2.8 (d) 553 (e) -0.3 (f) -4 (g) 1\/16\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-8) + (-4)\/(-16). Suppose -3*n - v = -5. Let c be (0 - -2) + 1 + n. Let q(y) = -y + 4. Determine q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18, -30\/11, 2\/11, -2\/3, -3\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121 + 121 - 21)*32\/12?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 + 5*b + 2. Let f be y(-3). Suppose 86*t - 88*t + 36 = 0. Let w = f - t. Solve 3*m + 3*k = -0*k + 12, -2*m - w*k + 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6148\/(-8))\/(-53) + (-3)\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v + 4. Let s be o(1). What is the remainder when 47 is divided by 3\/(-3)*(-5 + s + -29)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -4. Find the second derivative of -3*h + z*h**3 + 4 + h - 4 wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i - 2. Let z(r) = -21*r + 4. Calculate -9*y(a) - 4*z(a).\nAnswer: -15*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19687805689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -10.5. Let w = -6 + v. Suppose 2*o = 4*o + 6. Sort w, o, -2 in decreasing order.\nAnswer: w, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, -22, -5 in increasing order.\nAnswer: -22, -5, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/20*(-1 - -9). Let n = t + 7. Let m be (-12)\/n + 68*-2647. Round m to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68.6 - -68.7. Let q be ((0 - -1)\/(-4))\/(-1). Which is the nearest to x? (a) -2 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 229. Let p = -178 - i. Solve 5*l = 7*l + p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-2))\/((-3)\/(-6)). Suppose -2*n - v*t - 3 = 0, -5*n + 3*t = 6*t + 36. Is 13 a factor of (n - -1)\/(6\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**3 + 7*u**3 - u**3 + 2 + (5 - 9 - 6)*(2*u**3 + 2*u**3 + 2*u**3) to the form c*u**3 + h*u**2 + l*u + y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146432 - -244801. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001647197205 to five dps.\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c*(c*(c*c*c\/(c**(-1\/3)*c)*c*c)\/c)\/c*c*c)\/c)\/(c**(-7\/5)\/c))\/(c\/(c**(-5)\/c)*c**(-4)*c))**35)**(-1\/11) assuming c is positive.\nAnswer: c**(-497\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/7)*(m**(-2\/37)*m)\/m*(m*m*m**18\/m*m)\/m*m**(1\/2))**(5\/4) assuming m is positive.\nAnswer: m**(51845\/2072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -15 in decreasing order.\nAnswer: 6, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - 2*t + 2*t)*(-96 - 10755 + 1487 - 5453) to i*t + s and give i.\nAnswer: 14817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**3\/6 + 3*i**2\/2 - 5*i. Let m be w(3). Let k be -18*(m + 2\/(-6)). Solve -3*p = -3*s - 18, -14 = -2*p + k*s - 3*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -0.9446\nAnswer: 0.8446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = 24*x + 220. Suppose -14*q + 3*q - x = 0. Are -5 and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9317087 milligrams?\nAnswer: 0.0009317087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuukukquvkvuqvkqqq. What is prob of sequence kquk?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3222 + -3221.8. Which is the nearest to -3? (a) -30 (b) y (c) -1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125099?\nAnswer: 13, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/220 and 436\/55 - (-134 + 142).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516602601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(931) - (sqrt(931) + sqrt(931) + 1 + sqrt(931) + 0)) - -2*(sqrt(931) + sqrt(931) + 0 - sqrt(931))*6) + -2)**2.\nAnswer: -196*sqrt(19) + 182477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1685.8\nAnswer: -6743.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*r - 10, 4*r - 32 - 16 = 5*u. Let z be (-2 - u\/6)*(3 + -6). Let a(o) = o + 2. Let y(x) = -2. Suppose -3*m - 6 = -5*m. Calculate m*y(s) + z*a(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*n + 48*n - 161*n + 1284 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*13\/((-52)\/(-144)). Suppose 0 = -3*z - 2*k + 35 + 35, 0 = 3*z + k - 71. What is the highest common divisor of z and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3940, 14787, 32814, 57979, 90240, 129555, 175882?\nAnswer: 229179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/6 - 2*x - 14\/3 = 0. What is x?\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 0.4584131.\nAnswer: 0.2584131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q + 45. Let l be x(-21). Suppose -2*n = 3*s - n - 23, -2*s = -l*n + 3. Calculate the least common multiple of 37 and s.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47910 and 383280?\nAnswer: 383280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7235.008 rounded to the nearest ten?\nAnswer: -7240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - i**2 + i - 9. Let l be u(-3). Which is bigger: l or -54?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(465\/(-2))\/(-5). Let b = -42 - j. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 208*w - 203*w - 75. What is the smallest common multiple of w and (1\/(-2))\/(12\/(-720))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -755, -754, -743, -716, -667?\n\"Answer: m**3 - m**2 - 3*m - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115276, -230561, -345850, -461143, -576440, -691741, -807046?\nAnswer: -922355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -2103.\nAnswer: 2069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 59 - 23. Suppose -5*i - 5*x = -8*i + 30, 27 = 3*i - s*x. Suppose 5*y = i*b - 45, b + 6 = 4*b + 4*y. Solve b*n - 2*n = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61778.34ug to grams.\nAnswer: 0.06177834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11844, 23689, 35536, 47385?\n\"Answer: j**2 + 11842*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 8*c**4 - 2*c**3\/3 + 4*c**2 - 7*c + 15. Is w(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 10. Suppose 0 = 5*w + c*v - 0*v - 40, -w + 12 = -3*v. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*9\/(-72)*10. Solve -3*z + 1 = -l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/121*0)\/(-2). Solve 3*o - 58 + 70 = q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiixixiiixxxi. What is prob of sequence iiii?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 424 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 59805026 to the power of 1\/2, to the nearest integer?\nAnswer: 7733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = v - 14, -2 = 3*v + 3*n + 4. Suppose -2*p = -o + 4, -v*p + 0*p + 16 = 4*o. Factor z - 3*z**3 + 5*z**2 - 3*z**2 + o*z**3.\nAnswer: z*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 64*n**2 - 14*n + 19369. Calculate x(68).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 126*c - 6 = 121*c, 5*x + 26 = 3*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Let f be (-6)\/(-5) - (-13)\/(-65). Let x(h) = 15*h + 6. Calculate f*x(c) - 18*b(c).\nAnswer: -3*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120541 is divided by 8610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 14*t**2 - 5. Let y = 39 - 34. Let l(n) = 21*n**2 - 7. Determine y*l(i) - 7*k(i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (994 + 4058 + 2284 + 90 + 2711)*(-9*q**4 + 1 - 1).\nAnswer: -91233*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*v = -1 - 9, -3*c + 4*v = 15. Let i = 8 + c. Suppose -m + 5*x + 5 = 0, 5*x - 12 = -5*m + 73. What is the greatest common divisor of i and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8307 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: In base 15, what is -27 + 82?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a6 (base 16) in base 7?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylj when three letters picked without replacement from jyljol.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1541 and 2806?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2834 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -988531*h**3 + 1976969*h**3 - 988472*h**3.\nAnswer: -34*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -26*m. Let l(i) = 2*i**2 + 3*i. Let n(r) = 15*r**2 + 20*r. Let q(v) = -20*l(v) + 3*n(v). Calculate b(q(h)).\nAnswer: -130*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 4*r + 2. Let d be o(0). Suppose -d*t + 36 = -j, -4*t - j = -43 - 17. Solve -2*f + 8 = 5*x, -5*f - 4*x = -f - t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r - 2*m - 8 = 0, -2*r + 24 = -4*m. Suppose 5*l = w + 268, -6*w + 3*l = -r*w + 1089. Let g = 384 + w. What are the prime factors of g?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1255, 4847, 10791, 19087, 29735?\n\"Answer: 1176*s**2 + 64*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -181\/80243?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 1215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 238*p + 6 + 5 - 214*p - 5. Let d(t) = -2*t**2. Calculate d(z(b)).\nAnswer: -1152*b**2 - 576*b - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1423 = 14*w + 112*w + 89 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -770 by -114.\nAnswer: 385\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 650 - -5?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*l + 11*l - 398*l**2 - 823*l**2 to y + c*l**2 + p*l and give c.\nAnswer: -1221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u - 3. Let b(k) = -5*k - 7. Calculate the remainder when b(-6) is divided by s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = 349*r - 324*r + 237 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -947 + 950. Let j = 137821\/990 + -3027\/22. Let i = j + -11\/9. What is the nearest to -4 in i, 1, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3064576.\nAnswer: 2, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f - 32 = -24*f. Let n be 2\/(f\/(-15) + (-1)\/3). Suppose -15*r + n*r = -535. List the prime factors of r.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/3848 and -65\/12.\nAnswer: 11544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.4. Suppose 4*y - 2*j - 38 = 0, 4*y + 0*j - 32 = -4*j. Let w = -55.9 + 55.7. Which is the nearest to w? (a) -1\/10 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4713.5 and 288621.\nAnswer: 293334.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b + 39*b - 93*b = 181*b. Let v be 4\/7*(-127)\/2. Let d = v + 36. What is the nearest to b in d, 1, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -671 - 22499*j + 1386 - 715 in the form g*j + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.18443 rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -2, -2\/11, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, 13, 102, 253?\n\"Answer: 31*k**2 - 66*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 0, -17, -0.65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 4 - -3 - 1) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) -0.5 (c) 1168.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.6, 5, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675580 is divided by 4917.\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -1 (b) 0.3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*v - 69 + 152 + 247 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52152.94 decades in months?\nAnswer: 6258352.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 13, -4, -39, -98, -187, -312, -479?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 14*v**4 + 12*v - 5. Let o(p) = -7*p**4 - 6*p + 3. Let q(h) = -3*m(h) - 5*o(h). Find the second derivative of q(g) wrt g.\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*h + 5. Let v(c) = 1. Let n(r) = r**2 - 3. Determine h*v(q) - n(q).\nAnswer: -q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285.57 - -1.3.\nAnswer: 286.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 247. Let x be c(0). Suppose 3*q = 6*q + 3. Is x\/6 + q\/6 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 3:38 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20, 38, 60, 80, 92, 90?\n\"Answer: -j**3 + 8*j**2 + j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11542 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.47 not equal to -1\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*n + 177*n - 30826 = -4146. What is n rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 14. Let f(x) = -6*x + 2*x + p*x. Let l be f(-5). What is the highest common divisor of l and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -25) + (-7 + 25 - 0 - 4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 861?\nAnswer: 344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/77 (c) -10 (d) -1.6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4504 divide 3581654863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/13 + 148*z\/13 - 2738\/13 = 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42.03, 0.13, 2\/21, 6.\nAnswer: 2\/21, 0.13, 6, 42.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 less than or equal to 273\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 28*a**2 + 7*a + 14. Let u(w) = 9*w**2 + 2*w + 4. Let f(s) = 7*u(s) - 2*v(s). Let x(r) = 2*r. Determine x(f(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*b = 48, -4*r + 20 = 2*b - 0. Suppose 2*m = -2*u - 0*m + 8, 3*m = -2*u + r. Calculate the common denominator of -75\/8 and (-141)\/(-66) - u\/10.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 4:10 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.411 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1511 is divided by 1448?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 20211?\nAnswer: 20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 1200817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-325)\/(-195))\/((-165)\/108)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 276, 2\/7, 0.5, 1\/12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -51*g**3\/7 - 375*g**2\/7 - 552*g\/7 + 528\/7 = 0.\nAnswer: -4, 11\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q. Let s(m) be the third derivative of -m**4\/12 + 4*m**2. Determine u(s(l)).\nAnswer: 34*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2496.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 360623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -203, -815, -1833, -3257, -5087, -7323, -9965?\n\"Answer: -203*v**2 - 3*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**4\/6 + 9*d**3\/2 - 38*d**2. What is the remainder when 16 is divided by s(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from eeymjpe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/326905 and -19\/25.\nAnswer: 1634525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + sqrt(70)\/sqrt(90) + 5).\nAnswer: 4*sqrt(7)\/3 + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-1)\/y))**(-2\/73))**(-4\/15)*(y**(2\/9)*y*y**(-2\/27)*y)\/(y*y*y\/(y*y\/y**(-1\/3))*y*y**(-8)\/y) assuming y is positive.\nAnswer: y**(93656\/9855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 507\/64 - -8917\/1088. Let q be -1 + (7298\/476)\/1. Let u = q - p. What is the common denominator of u and -79\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 8. What is the first derivative of -l*t**3 - 50*t - 5 - 3 + 50*t wrt t?\nAnswer: -57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = w + 25, -65*w = -2*z - 61*w + 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 4, 1\/10, -3, 0.5, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - 2*p + 2*p + (0*p**2 + 0*p**2 - p**3)*(-p - 4*p + p))*(-p + 0*p - 2*p).\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 7*i + 4*o + 359, 5*o + 232 = 61*i - 157 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 (base 4) in base 13?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from ufslufiri?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhrrrrrhrhh. What is prob of sequence rhrr?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 4:12 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1081939 and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*i**2)*(-1 + 1 + 1) - i**2 - i**2 + 0*i**2 + 6*i - 40*i**2 - 4*i - 4*i to the form a + u*i + s*i**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/340408 and 46\/2503.\nAnswer: 340408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*a + 58. Suppose -3*l + 27 = -12. Let g = a - l. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (80*v - 14*v**2 - 80*v)*(14*v + 18*v - 7*v)*(-5 + 0 + 1)*(-v + 3*v - v)*(0 + 5 - 3) as u*v**2 + n*v**3 + f + i*v + z*v**4 and give z.\nAnswer: 2800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3770475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuouuuuuuuouuuuu. What is prob of sequence ouuo?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:31 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 6 - ((8 - (8 + -2)) + 0) - 45?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.5. What is the biggest value in c, 4, 1, 0.15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 530791\/139386 - 2\/5361. Calculate the common denominator of o and -111\/22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 - -66 - (-10 - 2)) + -40.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:37 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1489\/28222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8677972774 rounded to the nearest one hundred thousand?\nAnswer: 8678000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1322 - -12033. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -v + 1, d = -5*v - 15 - 12. Sort -1, 3, d in ascending order.\nAnswer: d, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*108\/(-135).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1147 - 3982 = -166*c - 1189 + 3168 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 34855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9188341, 18376682, 27565023?\n\"Answer: 9188341*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3150.524 millilitres?\nAnswer: 3.150524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 16*c**2 - 4*c + 1. Let y be (-3)\/6*-10 - 2. Is t(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 83\/7?\nAnswer: 83\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29893160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 0.76, -1\/16912?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -3 (c) -0.4 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1519839, 1519837, 1519835?\n\"Answer: -2*z + 1519841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77c176 (base 13) in base 11?\nAnswer: 165aa15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27423159 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l + 10 - l + 0 - 3 - l**2 - 3. Let j be 19\/7 + 2\/7. Give s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -3133 (b) 1\/3 (c) 352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 236775 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 3:55 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/42 - 24\/70\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.724, -137 in increasing order.\nAnswer: -137, -3, 1.724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 374 (base 8) to base 2.\nAnswer: 11111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.615298169 to three dps.\nAnswer: 4.615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 444*d*s**4 + 2*d*s**3 + 2*d*s**2 - 42*d + 2*s**5 wrt s?\nAnswer: 10656*d*s + 12*d + 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864980419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 7 = -5*w, -17*w + 13*w = 2*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12078?\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-65))\/(1\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - v = 0, 2*o = -v + 2*v. Let r be 1 - 0*1\/(-3). Solve -h + o = r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*l**3 - 42*l**3 + 4*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6 + 19*g - 29*g + 2 - 10*g. Let q be m(3). Let u = -50 - q. What is the highest common factor of 8 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijvvvkssivskvvisi. Give prob of picking 3 s.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6530 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o - 2*a = 410, 5*a - 490 = 5*o. Is 2\/(-11) + o\/(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-631.503\nAnswer: 442.0521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -75, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/(-3808))\/((-6)\/16).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3 + 3)*(0 + 4 + 3) + 4*n - 3*n - 4*n + (n + 0*n + n)*(-6 + 3 + 1).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - 521 + 43504*t + 316.\nAnswer: 43504*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.4, -2, -6452?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107\/((-5992)\/224)*12\/16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 473*z - 471*z. Let k(r) be the third derivative of 0 + 0*r - 1\/105*r**7 - 2*r**2 + 0*r**5 + 0*r**3 + 0*r**4 + 0*r**z. Find f such that k(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 3:39 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12081.90538 rounded to the nearest ten?\nAnswer: -12080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4 + 11. Is 9 a factor of ((-19)\/(-1) - w)\/(2\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5969.272604 to the nearest ten.\nAnswer: 5970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q**2 - 758*q + 12958. Calculate n(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**5 + 571*v**4 - 29*v - 822 wrt v.\nAnswer: 60*v**3 + 6852*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01033 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, j: 2, g: 5}. Give prob of picking 2 g.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**3 - 364202*j**2 + 546316*j + 364208 = 0.\nAnswer: -91052, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkg when three letters picked without replacement from {j: 1, g: 2, k: 2, o: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - -67) + -2 + -4 - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5393299?\nAnswer: 67, 101, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4691266*d**3 - 2616823*d**2 wrt d.\nAnswer: -28147596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-7 + 5 + 7) - 0 - 7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = q - p, 2*q + 3*p + 14 = 3*q. Solve 4*s - s = b - 2, 4*b = q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + 2*m**2 - 4*m + 5. Let u be i(2). Let g be (8\/6)\/((-1)\/(-33)). Find the second derivative of 87 + u*n - 43 + 16*n**2 - g wrt n.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15271 divided by 1\nAnswer: 15271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -31. Suppose j = s + 2*q, 3 = -s + 4*q - 4. Suppose -r + 5 = s*t - 4*r, -4*r + 12 = -2*t. Let x(b) = -b**2 + 2*b + 3. What is x(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -55, -5, -1\/3, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1234, -2470, -3706?\nAnswer: -4942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + 3*b)*(-3 + 0 + 1)*(2 + 2 - 2)*(-b - 5*b + 2*b).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4907636.674999909 + 4907637.49. Let i = a + -0.815. Round i to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(9\/(36\/8)). Suppose 5*y - 24 = -4*h, 5 + 13 = 5*y - 2*h. Solve a*m = y*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 - (-1 - -3)) + -3. Differentiate d + 2*t - 2*t + 8*t**3 - 4 wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(80)\/sqrt(4) + 2 + sqrt(2420) + -3)**2.\nAnswer: -192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*q + 3*q. Let z = 106 + -207\/2. Are z and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90452 is divided by 5998.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - p = 4*r - 139, 0 = -5*r - 2*p + 173. Suppose 4*i + 35 = 3*m, 3*i = 4*m + 4*i - 15. Solve 4*f + m*z + r = 0, f = -0*z + z - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i + 6*i + i)*(-1 - 3 + 3) + (3*i - 6*i + 2*i)*(2 + 3 - 4) to the form q + m*i and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 a factor of 19221432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/320208 and 41\/84.\nAnswer: 320208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 11*s**2 + 16*s - 15. Let o be x(-9). What is the second derivative of 52 + 28*a - 52 - 13*a**o wrt a?\nAnswer: -78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.052977 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - 37.6?\nAnswer: -37.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 40 + 30*y - 63*y + 30*y to the form s + d*y and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10 - (7 + 153\/(-45) + -4). What is the closest to -0.002 in 2\/5, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1078089 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 1738.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-3) - -4 - -3. Let r = 8 + -15. Let b be 2\/j - r\/(-2). Sort 0, b, 5.\nAnswer: b, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 7*w - 21. Let n be q(-3). Calculate the greatest common factor of 756 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23671657651 - 0.03.\nAnswer: -23671657651.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 - 4*f + 1. Suppose -5*x + 3*w = -27, 2*x + 3*x + w - 11 = 0. Suppose -10 = x*q + g + 6, -2*q = -2*g. Is h(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -16*x + 0*x**2 + 2*x**2 - 13 - 4*x**2 + 3*x**2. Let g be z(17). Let o be 0*(1 + 0) + 4. Are o and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128120887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - 3 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7.2. Which is the second smallest value? (a) 4\/3 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - 34*h + 25 + 37*h + 1 - 1 - h + (1 + 5 - 4)*(h - 2*h - h).\nAnswer: -4*h + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003565 to four dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from ggegiig.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/99 + 4\/(-45). Let u(h) be the second derivative of 0*h**2 + 0*h**4 + 1\/10*h**5 + 0*h**3 - 4*h + 0 + 1\/21*h**7 - f*h**6. Suppose u(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-9)*(-4 + 1). Let u = -105\/13 - -1665\/182. Calculate the common denominator of 2 + ((-462)\/m)\/(-3) and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10219 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130004444 (base 5) to base 12.\nAnswer: 262074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.84 - -13. Let z = 0 - -1. Which is the second smallest value? (a) g (b) -1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-8)\/(i\/(i*i**(2\/17)*i)*i))**(-3\/19))**(-49))**(-47) assuming i is positive.\nAnswer: i**(925806\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 - 137.9. Let u = n - 6. Is u equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 14*r**3 + 8 - 1.\nAnswer: -14*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6) + -2)\/(24\/36) - -2. What is the closest to n in 0.1, 0, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 0, -2.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) + (-78)\/(-5). Suppose -14*u + 3*q + 18 = -8*u, 3*q + 3 = 3*u. Solve -f + 3*g + z = 0, -2*f + u*g + 28 = -0*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 714, 2846, 6394, 11358, 17738?\n\"Answer: 708*l**2 + 8*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 288*t**2 - 257*t - 9596. What is j(287)?\nAnswer: -986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/128 and -139\/6.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1002352*p**3 - 324328*p wrt p?\nAnswer: 6014112*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 90 = -0*d. Let h(t) = -d*t - 57*t - 28*t. Is h(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(108\/3))\/(11\/(-121)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22103 times 140.8\nAnswer: 3112102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 231810353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a + 9*a + 15*a = -25*i - 67, -i - 4 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 386*t**2. Let x be r(1). Let i = 787\/2 - x. Let g = i - 7. Is 0 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*f = 4*m - 26, f + 15 = 3*m. Suppose m*d = 87 - 11. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000073843548 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 + 4*a + 2. Let b be x(-2). Suppose -3*u + b = -2. Which is greater: 5 or u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282529 - 196746 = 5430*d - 126181 - 238726 for d.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2963*m - 1 + 1102*m + 23*m.\nAnswer: 4088*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3339*h**2 - 1648*h**2 - 1657*h**2.\nAnswer: 34*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17 and 4.622683.\nAnswer: 21.622683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/(-80))\/(10\/72))\/((-6)\/(-12))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 447913*g**2*q + 87*g*q - 99331*q - 1 wrt g.\nAnswer: 895826*g*q + 87*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -75684*z + 10593. Is n(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695931566 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 3*(-1 + 3) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.93 + 0.07. Let g = d + -9. Let r = -9.00092 + g. Round r to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 22*t - 123. Calculate b(8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**2 + 5*z - 1. Let c be 4\/((-40)\/25)*(0 + 2). Let i(s) = 9*s**2 + 6*s - 1. Give c*i(w) + 6*g(w).\nAnswer: 3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x*x\/x**(-10)*x)**(-2\/13) assuming x is positive.\nAnswer: x**(-22\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/23 - 1444*c**4\/23 + 29482*c**3\/23 - 28040*c**2\/23 = 0. Calculate c.\nAnswer: 0, 1, 20, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/836 and ((-582)\/114 + 5)*205\/20?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 8*j**3\/3 - 662*j**2\/3 + 1130*j\/3 + 108 = 0.\nAnswer: -1\/4, 2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2. Let b be (-1 - 0)\/(3\/(-18)). Let p(l) = -3*l**2 + 6 - b. Calculate p(h(k)).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*o - 906*o**2 - 48*o.\nAnswer: -906*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**6\/6 - 7*f**5 + 3399*f**2 + 668. What is the second derivative of z(t) wrt t?\nAnswer: -20*t**3 - 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + j - j)*(-1 - 2 + 0) - 5*j**3 - 99*j**3 - 150*j**3.\nAnswer: -260*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(704)*1 + 1 + 1.\nAnswer: -8*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -739 - -967. Does 38 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405\/(-144) + 1\/16?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5954, 4, -3, 0, -10480.\nAnswer: -10480, -3, 0, 4, 5954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b. Suppose 3 = 5*s + 8. What are the prime factors of (b + s)*(-2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 5.7.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023942 rounded to six decimal places?\nAnswer: 0.000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/5 - 387*r**3\/5 + 27979*r**2\/5 + 1148787*r\/5 + 224084 = 0. What is r?\nAnswer: -28, -1, 151, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1136\/7553 + -2\/581. Let h be (-1)\/((-1)\/2 + 55\/(-11)). Which is the closest to -2\/3? (a) n (b) 0.13 (c) 2\/3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3482 = w, 2*o - 2963 = 5*w - 659. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 - 5*r**4 - 2*r**4 + 4*r**4 - 2*r**4 - r**4 + (1 + 3*r**3 - 1)*(5 - 5 - 8*r) - 2*r**4 - 3*r**4 + 3*r**4.\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7003, -11755, -14259, -14515, -12523, -8283, -1795?\nAnswer: 6941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1514\/4)\/((-5)\/170). Let m = -6317 - n. Let d = m - 3775. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7 - 2 + 4*s - 5*s**2 + 2. Let v(k) = 2*k**2 - 2*k - 3. Let b be (24\/20)\/(4\/(-10)). Calculate b*m(a) - 7*v(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 10, -3*x - f + 2*f = -200. Let h = 272 - 806\/3. Calculate the common denominator of 42\/(-4)*78\/x and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000094346 rounded to six dps?\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 0, 0*r = -4*i - 5*r + 20. Let x = -2 + i. What is the second derivative of x*f - 2*f**5 - 3*f - 2*f wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23612.\nAnswer: 2, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -261362.193 rounded to the nearest ten?\nAnswer: -261360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 435 + 12?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86266, -172469, -258610, -344689, -430706?\nAnswer: -516661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 1:06 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -1125*o**2\/4 + 120*o - 3 = 0. Calculate o.\nAnswer: 2\/75, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 14*k**2 - 17*k - 25. Suppose -3*s + 5*j = 40 + 14, -4*s = 4*j + 40. List the prime factors of g(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5128723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:55 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.310189 litres in millilitres?\nAnswer: 8310.189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*s - 67*s + 2*j + 2 = -293*s + 74*s + 75*s, 17*s + 38 = j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (10 - (41 + -49)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 231\/(-44) - (1 - 6) - (-197)\/4. Solve 5*p + 4 = 3*n, o*p - 5 = -n + 47*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.492351 minutes to nanoseconds.\nAnswer: 389541060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*d - 0*z + 108, 4*d + z = 144. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*i + 8 = -0*i, 3*p - 16 = -4*i. Solve p*s = 10*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 6*j = 0. Suppose j*i + 4 = -2*h - 4*i, -h + 2*i - 2 = 0. Let r = h - -27. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*k + 71*k = 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 10\/(-8)) + (-280)\/(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2 - 5 - 10*b - 1 + 11*b. Let i be h(10). Solve 11 - 1 = i*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703357067?\nAnswer: 7, 19, 5288399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8987709 to the nearest integer?\nAnswer: 2998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355002?\nAnswer: 2, 3, 59167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261*j**3 - 35*j**2.\nAnswer: -1566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/37814 and 47\/291270.\nAnswer: 10776990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/23998962 and -91\/19660.\nAnswer: 239989620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-200)\/320)\/(10\/(-4)). Let j*u - 1\/4*u**3 + 1\/2*u**2 - 1\/2 = 0. What is u?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 15 = 0, 0 = 4*j + 4*y - 30 + 6. Let h = 5 + j. Calculate the remainder when 10 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + 7 + (-6 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4580.016 weeks to seconds.\nAnswer: 2769993676.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512056 is divided by 1225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*c*y**3 + 2*c*y + 2*c + 1800*y**2 - 27*y - 100 wrt y?\nAnswer: -120*c*y + 3600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39\/7*o - 18\/7 - 1\/7*o**4 + 9\/7*o**3 - 29\/7*o**2 = 0. Calculate o.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 77\/55)*5\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164259375?\nAnswer: 5, 17, 40739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/120 - j**5\/30 - j**4\/8 + j**3\/3 + j**2. Suppose -3*w + 802 = 4*m + 793, m + 6 = 2*w. Determine u(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7048, 7032, 7004, 6958, 6888, 6788, 6652, 6474?\n\"Answer: -t**3 - 9*t + 7058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.687073 and -1.\nAnswer: 4.687073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + -6 + 14 - -2) + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + (-4 - (-10 - (-7 - -2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1008\/(-792) + (-396)\/(-121). Let d = 43893\/15365 - -1\/2195. Factor -d - 20\/7*l**y + 46\/7*l - 6\/7*l**3.\nAnswer: -2*(l - 1)*(l + 5)*(3*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134042?\nAnswer: 2, 67021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(22)\/sqrt(2)))\/(sqrt(64)\/sqrt(2)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2633912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**3 - 5*j**2. Let c(t) = -t**3 - t**2 + 6*t - 1. Let z(q) = 3*q**3 + 2*q**2 + 12*q - 2. Let y(r) = -2*c(r) + z(r). Give 6*u(a) + 7*y(a).\nAnswer: 11*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 55. Let k be d(-13). Solve v + 8 = -4*w, 7 = -k*v + 3*w + 2*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2432 (base 7) to base 13.\nAnswer: -548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 10*u + 2*x - 4, -17 = -u - 5*x. Sort u, -5, -6, 0, 31 in increasing order.\nAnswer: -6, -5, 0, u, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189 is divided by 594.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 - 3*v - 2. Let s(x) = -x**3 - 15*x**2 + 14*x - 20. Let t be s(-16). Suppose -d - 9 + t = 0. What is l(d)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -22*r + 4. Let l(d) be the third derivative of -23*d**4\/24 + 5*d**3\/6 + 554*d**2 - d. Determine -5*k(f) + 4*l(f).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:12 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 2\/4*-2. Suppose -3*h - 5 = -2*o - 2*o, 5*h = 2*o + 15. What is the closest to 0.1 in v, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 218682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*d + 526 = 1641, 1885 = 5*j - 5*d. Let l = -249 + j. Calculate the remainder when l is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339954503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 2:50 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 - 1.93. Let h = -11 + 8. Let c = b - h. Which is greater: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1379060 and 23320.\nAnswer: 30339320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/38)\/(19*(-102)\/(-646))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8496 and 1032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/((-27)\/(-51))*36\/(-84) and 80\/39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 - 251 + 3*k**2 + 575 - 188 + 0*k**2 - 5*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3779 + -3781. Which is the fourth biggest value? (a) 2 (b) -1\/4 (c) -1 (d) 21.2 (e) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-64)*4)\/(1\/(-4)). Determine o, given that -9*o**4 + 41*o**4 + 10*o**m - 24*o**4 + 4*o**2 + 2*o**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 8*f + 12. Let h be o(-9). Suppose i = -h*i + 8. Let q = i - -6. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 55*h + 824. Calculate k(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -5. Suppose -s = -i - i. Suppose k - 1 = -0*k. Calculate the highest common factor of i and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 42129*l - 8334*l - 3*l**2 + 4817*l.\nAnswer: -8*l**2 + 38612*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3274 (base 12) to base 11\nAnswer: 41a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 60, 4 in decreasing order.\nAnswer: 60, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 7. What is the third derivative of 16*q**6 - y*q**2 + 30*q**2 - 6*q**6 wrt q?\nAnswer: 1200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 j, and 1 m when three letters picked without replacement from {s: 3, m: 1, w: 1, j: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 14*j - 12. Let v be t(-8). Suppose 3*y + v*q + 12 = 0, -5*q - 15 = y - 0*y. Which is the third biggest value? (a) 0.7 (b) -1 (c) y (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -307225192 < -307225192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -0.16 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 34 = -4. Suppose d*i + 384 = 8*i. Suppose 3*p + p - i = 0. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.9 times -126\nAnswer: 869.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w\/((w**(-7\/2)\/w)\/w))\/w*w))**(-3\/23)*w**(-5\/7)*w**(-1\/6)\/w)**(19\/4) assuming w is positive.\nAnswer: w**(-11875\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (17 + -11 - (-2 - -14)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 4, 0.5, 3\/485?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 1:06 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 67. Let p be z(-69). Solve -5*f - p*r - 15 = 0, f - 8*r = -9*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-4 - -9)) + (-9 - -7) + -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c. What is the remainder when m(5) is divided by (-21)\/7 - (-1 - 0)*19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41, -153, -339, -599?\n\"Answer: -37*d**2 - d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 6*v**2 - 7*v + 2. Let m be p(6). Let j = 203\/5 + m. Which is the second smallest value? (a) -1\/12 (b) 1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 8*w + w. Let s(b) be the second derivative of w - 1\/3*b**3 - 3*b**2 - 2*b. What is the derivative of s(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3517*t**2 - 2*t - 1480?\nAnswer: 7034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 + 5 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 36, 1, 3, -639984 in descending order.\nAnswer: 36, 3, 1, -3, -639984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r. Suppose 1 = 3*o + 7. Let k be -1 + (2 + -4 - o). What is x(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1327.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 5*d**2 + 12*d - 62. Let o be m(4). Solve -g - 4*g - 2*r + 14 = 0, o*g + 4*r - 12 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24939.87343 rounded to the nearest integer?\nAnswer: -24940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (3 + -5 - -25) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**7\/1260 + g**6\/180 - g**5\/60 + 59*g**4\/12 - 35*g - 2. Let n(z) be the third derivative of o(z). What is v in n(v) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*k = 43, -5*a + 0*k - 35 = k. Let i = a + 8. Does 11 divide 41\/i - 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + l + 3, 0 = -q - 0*q - 4*l + 7. Let p be 5*(-1)\/q + -3. Which is smaller: 12\/7 or p?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + 9. Suppose 0 = y + 2*x - m, -83 = -4*y - 5*x + 3. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 6*i + 1. Let z = -400 + 394. Let o(l) = 2*l**2 - 5*l + 1. Let u be 1\/4*-2 - (-1386)\/(-28). Let x = u + 55. Calculate x*y(b) + z*o(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26973 and 323757?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87867259.\nAnswer: 87867259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:56 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 27.02. Is c less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u**2 - u - 32. Let v(r) = -r**3 + r**2 + r + 33. Let g(h) = -97*h - 490. Let f be g(-5). Let k(q) = f*v(q) - 6*c(q). What is k(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j**4 + 15*j**4 + 20*j**4)*(-2 + j + 2).\nAnswer: 23*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/7 - 17*t**3\/7 + 376*t**2\/7 + 116*t.\nAnswer: -t*(t - 14)*(t + 2)*(t + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-285*q**2 + 285*q**2 - 16*q**3)*(0 - q + 2*q**2 + 2 + 0).\nAnswer: -32*q**5 + 16*q**4 - 32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 17 + -1 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6702*p + 82034*p + 97165*p - 27216*p.\nAnswer: 145281*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 175, 7\/5, -77, 77 in ascending order.\nAnswer: -77, 0.3, 7\/5, 77, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/9)*i)\/i**(1\/7)*i**(-2\/17)\/(i\/(i**(2\/7)\/i)))\/((i**1\/i)**(-31\/5))**(-23\/5) assuming i is positive.\nAnswer: i**(-1163\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u - 17*u + 348. Suppose -c = 1, 4*y - y = 2*c + 71. Let t = -15 + y. What is the lowest common multiple of t and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -43 + 0*o**2 + 1\/3*o**3 + 4*o. Calculate q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82494 by -13749.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 17*q + 132. Suppose 11 = -2*r + 5*j, -7*r - 3*j = -5*r + 19. Let v be y(r). Let c(h) = -3*h**2 - 3*h + 3. Give c(v).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 153549297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*j + 13, -2*j + 4*j = 2*a - 14. Suppose -5*p = 3*y - 22, 5*p - 17 = -4*y + a. Let i be (-7)\/1246*(-7 + 10 + -1). Is y at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 9*f**2 + 10*f - 12. Let t be p(9). Let k = 222 - t. Suppose 0 = 7*s - 11*s + k. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.12 (b) 0.3 (c) 2 (d) -0.4 (e) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -671, -681, -687, -689, -687, -681?\n\"Answer: 2*d**2 - 16*d - 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 8) in base 15?\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/227262 and -9\/75754.\nAnswer: 227262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehfebeme. Give prob of sequence fb.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264451.2 - 264451. Let z = -403\/5 + 17717\/220. Is b at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12291 is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -39, 1, -0.4, 7948?\nAnswer: 7948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**3\/3 - 2*o - 54. Let t(f) = 10*f. Determine t(v(l)).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5802 + 17162\/3. Which is smaller: -82 or r?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a**9\/a)))*a\/(a*(a*a**(-2\/11))\/a*a))\/(a\/(a*a**(-1\/7)*a))**(6\/19) assuming a is positive.\nAnswer: a**(-11042\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 9 = t, 3*t - 3*f = 2 + 1. Sort 17, t, 0 in descending order.\nAnswer: 17, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 296, 329, 374, 431, 500?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169017.411 + -169096. Let v = g - -78. Round v to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(250\/(-20))\/(-25)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(190)\/(sqrt(30)\/sqrt(3)) - (sqrt(931) + 1)) + -1.\nAnswer: 4 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qijmlmlmlmqiljjq. Give prob of picking 2 q, 1 i, and 1 l.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -29*v**2 - 8*v - 31. Let p(u) = u - 2. Let a(k) = -p(k) - y(k). Is a(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3119806*h + 9359480*h + h**2 - 3119861*h - 3119813*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.12 * -0.6\nAnswer: -1.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16273 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14500.9999993586 + -14501. Round a to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*u, -534*k - u - 17 = -530*k. Suppose 30 - 10 = 4*w. Which is the closest to -1\/4? (a) k (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135\/2*m - 350*m**2 + 5.\nAnswer: -5*(4*m + 1)*(35*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -415 in -4, -5, 2657, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**2 + g**2 - 2*g**3 - 17*g**2 - 586 + 593 + 2*g as h*g**2 + j*g**3 + r + o*g and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 223496 = 8*h - 4*h, 5*w + h = 558784. Let t = -22890 + w. Let v = -136866 + t. What is v rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10854\/1 + (49 - 41) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-4)*4\/(-2). Let w = 2694129\/50 - 107417\/2. Let a = w - 174. What is the third biggest value in v, a, -1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -31722 and -1.9624?\nAnswer: 31720.0376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a + 13*a - 2*a)*(0 + 0 - 13*a**4).\nAnswer: -247*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 2112?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:26 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let r = -3.046 - -2.046. Are r and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/12890 + -8523\/67028. What is the common denominator of k and -143\/12?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61997)\/81073*17\/(-6)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 34 + 78*z - 23*z - 26*z - 31*z. Calculate b(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 6. Let i(p) = -3*p**2 + 5 - n - 2. Let a(g) = -3*g - 2*g + 6*g. What is a(i(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 17*n**2 + 39*n - 17. Give c(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.512519 to two decimal places.\nAnswer: -8.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-10 - (18 - 20))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let y = 114 + -113.8. Let s = -3.95 + -0.05. Which is the nearest to 1? (a) y (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aawwanwaanaawawwwwa. What is prob of picking 3 a and 1 n?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89\/342 + 134\/57. What is the common denominator of -49\/6 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(252) - (sqrt(252) - -1*sqrt(252))))\/(5*sqrt(270)\/sqrt(5)) + -5.\nAnswer: -5 - sqrt(2)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k**3 - k**2 + 1\/15*k**5 + 0*k**4 + 0*k + 0 + 1\/40*k**6. Find the third derivative of r(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14717 + 2338 - 14792 = 795*c + 654 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1921706541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 151*o - 40*o - 47*o. Let x(l) = 2*l + 4. Let s(r) = -3*r - 5. Let y(a) = 4*s(a) + 5*x(a). Give y(f(j)).\nAnswer: -128*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 - -124. Solve a = -3*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.24 (c) 2 (d) -316\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*x - 3, -k = 5*x - 3*k - 16. Suppose -n + 4 = x*o, n + 3*o = 7*o - 2. Calculate the greatest common factor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + t)*(20 + 16 + 10) + (3 + 2*t - 3)*(1 - 4 + 2) - 3*t + 3*t - 3*t + (0 - 3 + 2)*(0*t + 0*t - 3*t) as n*t + p and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 - z**3 + 29*z**3 - 11*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3\/7 - 6840*q**2\/7 + 41096*q\/7 - 54816\/7 = 0.\nAnswer: -3426, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -40064*s**2 + 230*s + 12 + 796313*s**2 - 116*s - 115*s. Let a be -2 - 3*4\/6. Let v be w(a). Round v to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 8:13 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 75, 41, 14, -3 in decreasing order.\nAnswer: 75, 41, 28, 14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -10089 - 257. What are the prime factors of m?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8288134 years to centuries.\nAnswer: 0.008288134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*o - 7*r + 2*r, o + r - 45 = 0. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a (base 12) to base 4.\nAnswer: -2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -4. Suppose 4*b + 4 = -p. Let f be -650 - (2 - (4 + b)). Round f to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4690 + -508?\nAnswer: 4186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*y**2 - 7401*y + 7401*y in the form o*y + g + a*y**2 and give a.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 7. Let p = 36 - -16. Suppose -4*q - 2*i = 60, 5*q + 41 + p = 2*i. Let s be z(q). Which is bigger: s or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 453440163 to the nearest integer?\nAnswer: 21294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.8 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -110034, -440198, -990472, -1760856, -2751350, -3961954, -5392668?\n\"Answer: -110055*d**2 + d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1880*o - 1886*o + 2*o**2 + 7536*o - 1886*o - 1885*o - 7*o**3 - 2*o**2.\nAnswer: -7*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 7. Let p(q) be the third derivative of -q**5\/60 - 3*q**4\/4 + 11*q**3\/2 + 12*q**2. Let h be p(-20). What is v(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*d + 9*d. Sort d, 11\/5, 5 in descending order.\nAnswer: 5, 11\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004213 rounded to five dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-55 + 25) - 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rarhk. Give prob of sequence hh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*292.018429\nAnswer: 146.0092145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 9*j**2 - 7*j + 9. Determine v(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**3\/3 - 11*n + 27. Let w(b) be the second derivative of 19*b**4\/12 - 2*b. Determine w(r(v)).\nAnswer: 76*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.913373l to millilitres.\nAnswer: 9913.373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 17*y - 4. Let o(d) = 17*d - 5. Let l(z) = 4*f(z) - 3*o(z). What is the first derivative of l(w) wrt w?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 0*q - 2*q)*(0 - 4049*q + 0 + 4991*q).\nAnswer: 1884*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 189, 255, 357, 501, 693, 939, 1245?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -8.2. Let i = a - 0.19. Let w = i + 0.29. What is the third smallest value in -1\/2, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 184?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - -44. Let u = i - 60. Suppose -2*k + 2*z - 10 = -2*z, 4*k = -u*z + 45. Solve -4 = -k*b + b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1258238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41 and 3.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 162337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -59, -129, -211, -311, -435, -589, -779, -1011?\n\"Answer: -s**3 - 63*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88)*-4)\/sqrt(8) + (sqrt(396) + -4*sqrt(396) - sqrt(11))**2.\nAnswer: -3*sqrt(11) + 3971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -809 + 804. Which is the fourth smallest value? (a) 2\/17 (b) j (c) -10 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3151\/3 + 1036. Let m = 19 + -8. Suppose -5*l + m = 81. Which is greater: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - 87*m + 138. Give l(26).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*q + 31*q - 1278*q**2 + 6330 - 675*q**3 + 1272*q**2 wrt q.\nAnswer: -2025*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99 - 1?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 112.1.\nAnswer: -112.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.8356 rounded to 1 dp?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-55) + (-57)\/(-11). Suppose d*x - 4*r - 962 = 0, -4*x = 3*r - 551 - 200. Suppose 7*y + x = 9*y. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 1)*(2*j**2 + 6*j**2 + 6*j**2 - 1).\nAnswer: -14*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3113 and 9713?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-6) - 248\/(-336). Let a = -53.3 - -53. What is the closest to 1\/8 in 2\/7, g, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z - 9. Let b be v(-5). Which is bigger: -60 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 26 = q, -25 = -5*q - 4*y - 39. Sort 0, 6, q, -5, 8.\nAnswer: -5, 0, q, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11486 and 6.\nAnswer: 34458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2350040 and -11\/56680.\nAnswer: 30550520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90000752 to the nearest integer?\nAnswer: 9487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9731\/1696 - -266\/53. Let y = -532647 + 12254367\/23. Let w = y + -39049\/276. Find the common denominator of w and o.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3199 divided by -43568\nAnswer: 457\/6224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12\/378*((-30)\/144)\/((-55)\/154)\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r - 18 = 0. Suppose 3*f - 61 = 4*c, f + c = -2*c + 3. What is the remainder when r\/9 + 716\/12 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/7 - 358535*p**2\/7 + 102438*p.\nAnswer: p*(p - 358533)*(p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2795 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18869*f - 2 + 56836*f - 18930*f - 18919*f.\nAnswer: 118*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.9 = 738353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91203 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + -0.3. Let c = -32 - -30. What is the second biggest value in 0.5, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 142?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 34. Let p(y) = 11*y**2 + 11*y - 2. Let l(q) = 3 + 6*q**2 - 1 + 6*q - 3. Calculate d*p(j) - 7*l(j).\nAnswer: 2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 1478 = -6*x + 10*x, -x = -4*g - 364. What is the remainder when x is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -9, -4, 15, 54, 119?\n\"Answer: r**3 - 2*r**2 - 4*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6331588?\nAnswer: 2, 37, 179, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:57 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 6. Let v = -21 + 15. Let q be j(v). Let f(b) be the third derivative of -b**4\/24 - 3*b**3\/2 - b**2. Give f(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1079 + 4*h**2 + 546 + 547 + 19*h**2. Let q(f) = 8*f**2 + 5. Give 6*n(z) - 17*q(z).\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 divided by 2.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.5 + -27. Let i = q - -10. Let p = -1919\/33 - -175\/3. Sort i, 2\/13, p in decreasing order.\nAnswer: p, 2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 12975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284842 - 290962 = 153*u for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, -0.5, -1, 0.4, 0.2.\nAnswer: -1, -0.5, 0.2, 0.4, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2. Let g(y) = y**2 + 4*y - 1. Let w(a) = a - 13. Let q be w(9). Let h be g(q). Calculate s(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 4)*(-37*b - 63*b - 135*b) to h*b + u and give h.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -6) + -2 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32002 (base 4) to base 8.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 698, 720, 728, 716, 678?\n\"Answer: -c**3 - c**2 + 32*c + 668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 2*t - 4. Determine r(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - u - 2 = 0, 7*d + 10 = 12*d - 4*u. Let i be 878\/4 + 1\/2. Factor -i*m - 81920*m**4 - 2560*m**d - 18 - 131072*m**5 - 20480*m**3 + 14 + 60*m.\nAnswer: -4*(8*m + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - ((sqrt(832) + 2 - sqrt(832)) + -2))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1712*c + 71785. Determine w(42).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 353838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*i, -k + 3*i + 6 + 9 = 0. Let p = k + 4. Suppose 12 + p = 7*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 g be (-8)\/(294\/(-102) - -3). List the prime factors of 187\/(-44)*g - (1 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 5*x + 44, 10 = 5*x - 355*r + 350*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*n - 11, 2 = n - 0. Let o = r - 1. Let q = 13 + -12. Which is smaller: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(396) + sqrt(396))*-6 + sqrt(396))*2 + 4 + sqrt(396) + 0 + -5 + (sqrt(396)*1 - sqrt(396)))**2.\nAnswer: -2772*sqrt(11) + 174757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7 and 236831.\nAnswer: -402612.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*i - 1, 3*z - 4 = 5*i - z. Suppose i = -2*r + 31 - 1. Suppose 3*b = g + 360, -r = -5*g - 0*g. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 3 - (-35)\/5. Suppose 0 = 8*m - 10*m + f. Suppose m*h + h - 80 = 0. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 28. Let d = -57 - -88. What is the remainder when d is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -73, 4, 1.\nAnswer: -73, -5, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1801.928 less than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2120 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -208351318, -208351322, -208351328, -208351336, -208351346, -208351358?\n\"Answer: -s**2 - s - 208351316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 11*l**4\/6 + 8*l. Let t(a) = a**2. Calculate v(t(r)).\nAnswer: 22*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*r + 5643 - 5715. Find v, given that -1\/2*v**3 - 4 - 6*v - 3*v**r = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f**(-4\/5)))\/f*f*f**(1\/2)*f)**(-1) assuming f is positive.\nAnswer: f**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63412631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 167449890+-0.9\nAnswer: 167449889.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 7*x + 6. Let w be 15\/(-3) - 2\/2. Let y be o(w). Let c(z) = z**2 - 4. Let u be c(4). What is the greatest common divisor of u and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 27*l**2. Calculate b(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7196729 (base 11) to base 6\nAnswer: 1132132215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/739 > 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155154 and 4674?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**13*c)\/(c*c\/c**(-2\/9)))\/(c**(-3\/7))**(-41\/2) assuming c is positive.\nAnswer: c**(503\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2\/5*w + 4\/5*w**2 - 4\/5*w**4 + 2\/5*w**3 + 0 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1401, -1 in decreasing order.\nAnswer: 1401, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (500\/(-40))\/((-2)\/(-204)). Let s be (z\/12)\/(1410\/40) + 3. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50830\/9 - -5648. Which is the second biggest value? (a) x (b) 3\/16 (c) 1 (d) -4 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 129780.\nAnswer: 259560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q + 6. What is the third derivative of 4*x + 0*x + 7*x**6 + 5*x**q - 4*x wrt x?\nAnswer: 840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 13*w - 12. Let d be u(-14). Suppose -h + 1102 = d*m - 6*h, 2755 = 5*m - 3*h. Suppose 0 = 2*z + 10, -v = -3*v + 5*z + m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vznz when four letters picked without replacement from {v: 2, z: 6, n: 9}?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*b + 2*x, 9*b = 4*b - x + 13. Let k be (1 + -2)\/(b + -1). Let t be (k\/(-3))\/((-1)\/(-3)). Is -1 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 27*q**4\/8 - 7*q**3\/2 + 14*q**2 - 3. Differentiate j(x) wrt x.\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3136606 (base 7) in base 15?\nAnswer: -775ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1607517.743 and 379.\nAnswer: 1607896.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1087307702984 and -0.4.\nAnswer: 1087307702983.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324703 is divided by 451.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -452.6*140.9.\nAnswer: -63771.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 87763.53cm?\nAnswer: 877.6353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2672701, 2672699, 2672697, 2672695?\n\"Answer: -2*r + 2672703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 90*s = -117*s + 85, 0 = j - 6*s + 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 36 + 57 = -67 + 4 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzpz when four letters picked without replacement from zzszszzzzszpzszssz.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0*i + 0*i**6 + 0*i**5 - 1\/105*i**7 - 1\/2*i**3 + 2*i**2 + 0 + 0*i**4. What is the first derivative of y(g) wrt g?\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -165 (b) -38 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 8*b**2 - 10*b + 2. What is the tens digit of s(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-278*g - 12441 + 12441 + (-2*g + g + 3*g)*(3 - 19 - 6))*(-3*g**3 + g**3 + 4*g**3) as p*g**4 + o*g**2 + c*g**3 + s + t*g and give p.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -11. Let p be 3 + 2 + (-9)\/i. Find the third derivative of n**p - 5*n**5 + 193 - 193 wrt n.\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 48836.4\nAnswer: 14650.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 1 - 2)*(-1 - 3 + 2) - 1 + 3 - 1)*(4 - 4 + p**2) to k*p + t + z*p**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13167300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2979 = n - 4*j - 1009, 0 = -2*j. Round n to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -12, 24 = -r + 3*q + 65. Let n = -49 + r. Let p = -440 + n. What is p rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16829 * 794\nAnswer: 13362226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(-2*sqrt(24)\/sqrt(3)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**8\/1008 - 53*x**7\/630 + 15*x**6\/8 + 81*x**5\/20 - 483*x**2. Factor t(b).\nAnswer: b**2*(b - 27)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 2*h**6\/75 - 13*h**5\/100 + 11*h**4\/60 - h**3\/15 + 20*h. What is c in r(c) = 0?\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 470 and 120?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r + 6. Let p be u(-3). Let w = 43 - p. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 n when four letters picked without replacement from {d: 5, h: 1, n: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*w + 13 + 13, -2 = 3*w - n. Is w > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 95, 85, 75, 65?\n\"Answer: -10*c + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.986844 to 1 dp.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4898*x + 293. Is g(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, -3, 3, 115, 4 in decreasing order.\nAnswer: 115, 5, 4, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e81e - 3?\nAnswer: -4e821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*(-3)\/(-1) + (-1369154)\/(-23206)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**3 + m**2 - 3*m - 2. Let u be g(-2). Suppose 2*f - 76 = u. Calculate the remainder when f is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-186)\/(-4) - (-2)\/(-8)*2?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66036480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, a: 1, j: 1, c: 1, p: 1}. Give prob of picking 1 v, 1 j, and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 169*p**7\/210 + 1371*p**5\/20 + p**2 + 1589*p - 1. What is the third derivative of s(u) wrt u?\nAnswer: 4056*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 445 = -3*r - 0*d, -5*r - 5*d = -800. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(-25) + -2 + 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -72433, -144860, -217287, -289714, -362141?\n\"Answer: -72427*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**2 + 47*a - 60. Let b be w(6). Let g be 2\/6*54\/b. Suppose -v + 1\/2*v**2 + v**4 + 5\/2*v**g + 0 = 0. What is v?\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from gjvxgvvjvngsnvjjngsj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**3\/3 + 6. Let x(p) = -9 + 2*p + 9. Give x(r(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 8. Let u be p(6). Suppose -d - 741 = -q + 1403, -5*d - q - 10696 = 0. Let g = 2145 + d. Solve -g + u = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/4 + 1971*f\/4 + 10155.\nAnswer: -3*(f - 677)*(f + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1320408192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5\/18, 3\/2, 1\/8?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from jjxcjcjjijiccjj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 4*o**2 - 4*o**3)*(3 + 1 - 5)*(-6019*o + 381*o**2 + 6019*o).\nAnswer: 1524*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4 + 226*a**3 + 7614*a**2 + 41310*a - 1166400 = 0.\nAnswer: -45, -32, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4186895 and 259.\nAnswer: 4187154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 14*p = -624. Solve 0 = 4*w + p - 64 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -76 + 7. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000297257874 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**2 - 23*a**2 + 5*a**2 + 8*a**2. Let q(s) = 89*s**2. What is q(j(b))?\nAnswer: 89*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57506095 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5350 - -5350. Let j be (-1 + (0 - -2))*153. Suppose -9*g - j = -k. Which is bigger: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 - -16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -35. Let c(o) = o**2 - 14*o + 39. What is the units digit of c(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:50 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*-3*sqrt(72)*2 + (5 + sqrt(72) + 0 + sqrt(72))*2))**2.\nAnswer: -3840*sqrt(2) + 18832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 10420117.\nAnswer: 10420117.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 2\/7, 2, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/((16\/(-24))\/(132\/36))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -82. Let m(p) = -6*p**2 - 6*p - 7. Let k be m(-3). Let c = d - k. Calculate the remainder when 55 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6316 + 16272 - 4756)*(-r - r + 4*r)*(0 + 3 - 2) + 3*r - r - 4*r to the form z*r + o and give z.\nAnswer: 10398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 8. Suppose 3*v = 7*v - 28. Let y(b) = -b + 7. What is v*y(l) + 6*z(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015930155 to 6 dps.\nAnswer: -0.001593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -5. Let k be 38\/8 - f\/(-12). Let g = -762.68 - -757.68. What is the nearest to 0.1 in 1\/2, g, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179 + 199 - (-2 + 2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -2*r**3\/9 + 2*r**2\/3 + 2*r + 9. Factor u(h).\nAnswer: -2*(h - 3)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/20 - (-6)\/15. Solve 3 = -s*n - n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -307 + 460. Let b = -79 + m. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (24\/((-20)\/(-5)) - 0). Is 1243\/(((-15)\/w)\/(3\/2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 9*p**2 + 9*p - 16. Give g(-5).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 4*d**2 + 13*d - 26. Give w(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = -y + 5, -3*l + 2*y + 5 = 0. Solve 3*n = 6 + l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 717.0861 decades?\nAnswer: 7170.861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4 - 93*q**3 + 747*q**2 - 1227*q + 570 = 0. What is q?\nAnswer: 1, 10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4357*2305.\nAnswer: -10042885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -1 (b) 1 (c) -16 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 140, 262, 432?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 75. Let h be (-61)\/(-7) + (-8)\/(-28). Let s = 14 - h. Calculate the highest common divisor of s and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 2*y**2 + 2*y. Let d(n) = n**3 - n**2 + n. Let r = -6 - 26. Let p be (r\/10 + 2)*-5. Give p*z(t) - 10*d(t).\nAnswer: 2*t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 396, 1, 0, 308, -21 in decreasing order.\nAnswer: 396, 308, 1, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -9, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -460, 1, 3 in ascending order.\nAnswer: -460, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 456570*q**3 + 12015*q**2 - 12015*q + 12015. Let i(z) = -40*z**3 - z**2 + z - 1. Give a(f) + 12015*i(f).\nAnswer: -24030*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 - 41*p**2 + 38*p + 112. What is f(-14)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 11*k + 6. Let x be g(10). Suppose 0 = 18*j - x*j - 10. Let i be ((-1)\/(-2))\/(1\/(-4)). Sort 4, j, i.\nAnswer: i, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6012 = 695*o - 698*o. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 12*m**2 - m**2. Let f(a) be the third derivative of a**4\/24 + 49*a**2. Determine p(f(o)).\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (5 - 11)) + (10 - (-14 - -37))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*d = 5, 0 = -3*f + 3*d - 4*d - 5. Let t(q) = q**2 - q + 2. Let b(u) = -6*u**2 + 5*u - 10. Let c(n) = f*b(n) - 11*t(n). Factor c(p).\nAnswer: (p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1844*q**4 - 1756*q**4 + 23*q**3 + q**2 - 30*q**3 - 3*q as i + n*q**3 + v*q + p*q**2 + y*q**4 and give y.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrh when three letters picked without replacement from urhuuuuuurhr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 3:27 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*y - 5 + 13 = 0, -i + 6*y - 9 = 0. Let o(c) = 3*c + 6. Determine o(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a + 42*a - 4 + 47*a + 9*a.\nAnswer: 75*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11670 and 1908891075.\nAnswer: 5835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 2*y**3\/3 - 2*y**2 - 2*y. Let q = 4 - 2. Let a be r(q). Sort -4, -1, a in decreasing order.\nAnswer: a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198589 - 54388 = -1884*o + 8003*o + 120282 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + 2*a + 2*a**2)*(-7*a + 3*a + 5*a - 10*a**2) in the form i*a + p + l*a**4 + y*a**2 + s*a**3 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22\/7 - -89\/35. Let r = -3\/7 - 5\/21. Let w = r + 7\/3. Which is the biggest value? (a) z (b) w (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2304 = -57*i - 366. Calculate the highest common factor of 187 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(4\/9)*t*t**(-4\/15)*t)**(12\/5))**(-25) assuming t is positive.\nAnswer: t**(-412\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/4 smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**2 + 164*g**2 - 103*g**2 - 16*g**2 - 22*g**2 - 13*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 3*k**4\/4 + 3*k**3 + 3*k**2 + 4. What is g in i(g) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*i + 5*l, 3*l = -2*i - 3 - 8. Suppose 0 = 47*f - 538 - 496. Solve 0 = -d + z - 3 - 0, i*d - f = -5*z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxxx when four letters picked without replacement from {x: 9, v: 5, h: 2}?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 10) in base 5?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 0\/(-1 - 12\/(-4)). Factor 102*x**3 - 272*x + 4 - 37 - 504*x**2 + 1 + 222*x**q.\nAnswer: 4*(x - 2)*(9*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807*l + l**3 + 807*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-178)\/(-26) - 4\/(-26). Suppose -u - 70 = -6*u. What is the highest common divisor of u and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 - 6*g**2 + 99*g + 298. Let y(t) = 3*t**3 - 5*t**2 + 86*t + 298. What is 7*p(v) - 8*y(v)?\nAnswer: -3*v**3 - 2*v**2 + 5*v - 298","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 6*b**2 - 2*b + 14. Let h be u(6). Suppose -q + h*q = -4*p + 75, -255 = -3*q - 2*p. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -7 + 12 + (1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 1)\/(-1*3\/12). Which is smaller: h or 35\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 916694 divided by 67\nAnswer: 13682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229 - 226. Let a = 311\/951 + 2\/317. Factor w - a*w**4 - w**x + 2\/3 - 1\/3*w**2.\nAnswer: -(w - 1)*(w + 1)**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10752*h + 6944 wrt h.\nAnswer: -10752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3654*c - 567. Is t(2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-26)\/572*99.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 57687, -2, 1823, -0.5.\nAnswer: -5, -2, -0.5, 1823, 57687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 q, and 2 w when four letters picked without replacement from wwwwwwwwqwwwwwwwnw.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -9*o + 0*o**2 + 1\/3*o**3 + 0. Let v(d) be the first derivative of -2*d**3\/3 - 1. Give v(n(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**6\/120 + 2*u**5\/5 - 2*u**4\/3 - 4*u**3 + 3*u**2 - 4*u. What are the prime factors of g(23)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**3 + 3*g + 1. Let m be f(-1). Let v = -0.2 + 0.1. Which is the closest to m? (a) v (b) 0 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + 23. Suppose 23*n - t = 20*n - w, 0 = n - w - 35. What is the remainder when 172 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.191 and 3.575.\nAnswer: -0.682825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25563121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 25*i - 171. Let y be j(0). Let g = y + 150. Let l be 1 - (0 - -23 - 1). Are g and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318410 divided by 63682?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 6, b: 5, n: 1, s: 1, a: 6}. What is prob of sequence ba?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12350, 12487, 12714, 13031?\n\"Answer: 45*l**2 + 2*l + 12303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 2*y**2 + 2*y**2)*(y**3 + 4*y**3 - 3*y**3) + (0*y**2 + 0*y**2 + y**5)*(0 - 6 - 2).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398574.\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 891*w + 7177. Let p(f) = -3*f**2 + 1732*f - 14355. Let h(r) = -5*g(r) - 2*p(r). What is the derivative of h(t) wrt t?\nAnswer: 2*t + 991","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*c - 301 - 229 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 2794?\nAnswer: -2794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21728213.\nAnswer: 13, 37, 199, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 28*i + 0 - 6*i in the form q + l*i and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3480366 minus -0.361?\nAnswer: 3480366.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/5 + 5264698*q\/5 + 5264697\/5 = 0. What is q?\nAnswer: -5264697, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) 0.3 (c) -3 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h. Let p(b) = 0*b**2 - 3*b + 30*b - 18*b - 5*b**2 - 7*b. Determine n(p(u)).\nAnswer: -50*u**2 + 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -552*b - 4. Let v(o) = 548*o + 3. What is 2*j(k) + 3*v(k)?\nAnswer: 540*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 958 - -1?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -57 - (-8)\/(-1 - -9). Let h(y) = -22*y**3 - 14*y - 14. Let p(u) = u**3 + u + 1. What is w*p(n) - 4*h(n)?\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17764 divided by 4.\nAnswer: 4441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(((-35)\/(-10))\/(-7)). Let s(w) be the first derivative of l + 2\/45*w**3 - 2\/15*w + 0*w**2. Let s(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1170*h**2 + 1183*h**2 - 276*h + 276*h.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 + -1ce1?\nAnswer: -1cb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -49.1, -3, 221, 1 in decreasing order.\nAnswer: 221, 1, -3, -49.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20489, -34544, -48599, -62654?\nAnswer: -76709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:01 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**7\/945 + 77*p**6\/540 + 152*p**5\/27 + 361*p**4\/27 + 2*p**2 - 16. Factor x(u).\nAnswer: 2*u*(u + 1)*(u + 38)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 671\/1832 + 2\/229. Let i = -652.59 - -647.59. Let s = -127 - -633\/5. Which is the fourth biggest value? (a) -3 (b) i (c) s (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 824885 - 824511.8692. Let n = 373 - l. What is n rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**3\/2 + 3*z**2\/2 - z. Let o be u(5). Suppose -b + o = b. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:36 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -143\/734 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 4*o - 9. Give d(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1, -4*a = -h + 5*h - 1072. Suppose -12*w = -7*w - 340. Calculate the remainder when a is divided by w.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11115917, 22231831, 33347745?\n\"Answer: 11115914*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 10:58 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:23 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 - 34780*b**2 + 213821*b - 2 wrt b.\nAnswer: -6*b - 69560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.5832 (c) 3 (d) 1 (e) -2\/5 (f) 13 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 9*v - 12. Let c be d(-10). Let i(l) = -l**2 + 3*l + 5. Let s be i(6). Let x = s - c. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 18322525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7506595?\nAnswer: 5, 829, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k = 108*k + 45 - 345. Let s(q) = q - 1. Let i(v) = -2*v. Let g = 2 - -1. Determine g*i(y) + k*s(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v**2 - 5*v + 4. Let z(t) = -7*t**2 + 3*t - 3. Give -5*n(y) - 6*z(y).\nAnswer: 2*y**2 + 7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + -5. What is the remainder when 26 is divided by (5\/c)\/((-3)\/81)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -13900001*x**3 + 2*x**2 - x. Let q be f(1). Round q to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550*n**3 + 6598*n**2 - 19776*n - 72 = 0. What is n?\nAnswer: -1\/275, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -419\/20?\nAnswer: -419\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4552809 + 6484079. Let r = 6236888 - j. Round r to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3457, -3452, -3451, -3460, -3485, -3532?\n\"Answer: -i**3 + 4*i**2 - 3460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3031902 divided by -358\nAnswer: 8469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -49 and -0.13508018?\nAnswer: 48.86491982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000669 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 - 10*z**2 + 23*z - 119. What is the units digit of f(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 2*f + 98. What are the prime factors of k(50)?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 2)*(-2*k + 3*k + k) + 6*k - 2*k - k)*(-k + k - k**2) - 2*k**3 + 4*k - 4*k.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5222723, -5222671, -5222619, -5222567?\n\"Answer: 52*x - 5222775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7251, 14486, 21713, 28932, 36143?\n\"Answer: -4*g**2 + 7247*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(-7)\/84 - (-7)\/3. Factor -2\/13*o**3 + 2\/13*o - 2\/13 + 2\/13*o**p.\nAnswer: -2*(o - 1)**2*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7894 = -310*h - 8512 + 2386 + 1000 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 934*q - 940*q = -16, 4*j = -q + 41 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1663 * -70604\nAnswer: -11741.4452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 (base 9) in base 4?\nAnswer: -3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176762 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 3, -2\/3, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304560 = -26*o - 304352 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21722513 (base 8) in base 11?\nAnswer: 271777a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 11178151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3869729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6.5. Put h, -3, -0.3 in increasing order.\nAnswer: -3, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 35*i**3 + 4*i**2 + 60*i - 408. What is the tens digit of b(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + (16 - 11) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -55. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -781 + 839. Suppose 66*z = m*z + 40. Solve -4*n + 3*r + 5 = 0, -4*n + 0*n + 45 = z*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1140*j + 2807*j = 43417 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*c + 26 + 14*c + 9*c)*((-2*c - 4*c - 7*c)*(2*c - 6*c + 3*c) + (c**2 + 5 - 5)*(0 + 1 - 3)).\nAnswer: 11*c**3 + 286*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b + 1476. Let g(z) = -z + 28948. Determine d(g(v)).\nAnswer: 5*v - 143264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106671.\nAnswer: 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**2*p**2*s - 3*i**2*p**2 + 13*i**2*p*s + 2*i*p**2*s - 13*i*p**2 - i*p*s + 3*p**2 wrt i?\nAnswer: 8*p**2*s - 6*p**2 + 26*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1230*j**2 - 47 + 47 - 6*j**3.\nAnswer: -6*j**3 - 1230*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 5*g**4\/24 - g**3\/2 + 7*g**2. Let k = -8 - -12. Let c be u(k). Solve q + 3*f = 11, 3*f = -7*q + 3*q + c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3388.871km?\nAnswer: 3388871000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.722948 rounded to 3 dps?\nAnswer: -1.723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/4 and -29\/31041.\nAnswer: 124164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**7\/70 - 33*d**6\/40 + 84*d**5\/5 - 245*d**4\/2 + 1163*d**2 - 2. Factor o(l).\nAnswer: 3*l*(l - 14)**2*(l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, x: 1, z: 8, y: 6, q: 2}. Give prob of sequence yqqk.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*u = 4 + 4, -4*u + 8 = -4*v. Solve -3*o = -v*o - 3*s, 4 = 2*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 4*c + 26, -10*c = 45*j - 36*j + 32 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 12)*(9576\/14)\/18. What is the greatest common divisor of i and 1976?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 2*r = 11*r. Solve 14*f - 8*f + 12 = r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7076647 or 7076645?\nAnswer: 7076647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/6391 and -54\/6391?\nAnswer: 6391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 35*h**2 + 68*h - 66. Let u be n(33). Solve 5*y = -4*b + 31, u = -3*y - 2*y - b + 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 212.\nAnswer: 212.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0, 3060?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/3, 33.69557, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -829, -814167, 0.4, 2 in descending order.\nAnswer: 2, 0.4, -829, -814167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -187 in -2\/11, -2\/15, 10.2, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 1690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1982*p - 10*p**2 + 10*p**2 - 1982*p + 96*p**3.\nAnswer: 96*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6364 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*j, 5*j + 39 = -3*u + 19 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3573811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 - -9323\/40. Let m(b) be the second derivative of 0*b**3 + 0*b**2 + 0 + 1\/120*b**6 - 4*b + 3\/16*b**4 - j*b**5. Factor m(p).\nAnswer: p**2*(p - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 942655 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztttzttztt. Give prob of picking 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -11\/6295005?\nAnswer: -11\/6295005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -840 + 1270. What is the highest common divisor of v and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147740, -147931, -148256, -148721, -149332, -150095, -151016?\nAnswer: -152101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -74. Suppose -4*z + 4 = -4*s, 3*z - s = s + 2. Solve l*f - 5*f - 3 = z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 24 = -g - 3*p, -5*g = 2*p + 47. Which is the nearest to -0.1? (a) g (b) 2\/13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/6)\/(6\/(-12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57.6 + -58. What is the third biggest value in 0.4, s, -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 0.2307.\nAnswer: 0.16149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -917*g + 676754. Give k(738).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210012110 (base 3) to base 11.\nAnswer: 10681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.51 * 3133\nAnswer: -1597.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -71575 (b) -1\/3 (c) 0.1 (d) -3 (e) 11 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3, 5, 11\/16 in decreasing order.\nAnswer: 5, 3, 11\/16, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) -5250 (c) 0.2 (d) 84 (e) -2\/9 (f) -2\/11 (g) 8\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -437 (base 8) in base 9?\nAnswer: -348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z\/((z*z**(-9))\/z))*z)\/z**(8\/7))**40\/(z**(-1)\/(z\/z**(-2\/13)))**(-5) assuming z is positive.\nAnswer: z**(-26980\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -57 (b) -137792 (c) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 20\/(-6)) + (-3)\/9. Calculate the greatest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x + 19*x - 10*x - 248 - 11 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 + -410. Let c = -22 - d. What is the greatest common divisor of 123 and c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-81))\/((-544)\/2040)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/5304 and -25\/11603571.\nAnswer: 1206771384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -10.26\nAnswer: 61.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4937.\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**3\/6 - 2*r**2 + 3*r - 2. Let u(h) be the first derivative of t(h). Let s be u(3). Round s to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44660 and 11129272.\nAnswer: 55646360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*n - 12. Let f be 256\/18 - n\/54. Let x(l) = l**3 - 15*l**2 + 15*l - 9. Let d be x(f). Solve 3*a + 4*v - 23 = 0, 4*a - d*a + v + 3 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*v**2\/3 + 5162*v\/9 + 172\/9.\nAnswer: 2*(v + 86)*(30*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -902 - -1543. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/4873019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 377 + -390. Let k(t) = 4*t - 7. Let x(d) = 2*d - 3. What is w*x(q) + 6*k(q)?\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45530883 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 1:36 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14412067 is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*u + 5*h, 0 = 4*u - h - 0*h - 48. Let l(w) be the first derivative of 8*w + w**2 - u*w**2 + 7*w**2 + 15. What is the derivative of l(t) wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 64*l**6\/15 - 85*l**3\/6 + 2*l**2 + 5*l. What is the first derivative of j(q) wrt q?\nAnswer: 1536*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 10:51 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6231 and 48441?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 - (-6)\/4. Suppose -3*r + 31 = -2*j, -16 = -c*r + j + 4. Suppose -3*w + 144 = -w. Calculate the highest common factor of w and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -1, -5\/3, -117?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3027*x = -2854*x - 1211 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16533502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5 - 10. Suppose 2*s = u*s - 2*y + 11, 0 = s + 3*y + 22. Let h(f) = -f**3 - 8*f**2 - 7*f - 1. Calculate h(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82a8838 + -4?\nAnswer: 82a8834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d + 5*r - 2, d = 4*r - 12. Let v(z) be the third derivative of z**6\/120 + z**5\/30 - z**4\/4 - z**3\/3 + z**2. Determine v(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + s = 12, -5*x - 2*s = -4*s - 15. What is the common denominator of -25\/3 and ((-3)\/15)\/((-16)\/2340*x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 254751268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1478*z + 1209*z - 13435 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128630483 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: Suppose 0 = -10*t + 7 + 33. Solve -2*m + t = -0*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47 and 1081.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 5. Let i be h(4). Let g = i - 7. Solve -g*v - 3*v = 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36 - -12a?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/7 (c) 5 (d) -0.5 (e) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -1, 1\/22, 0, 0.38218 in increasing order.\nAnswer: -1, 0, 1\/22, 0.38218, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 25689708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 707 and 505?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 145 + 2*i - 53 + 281 as v*i + c and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 6. Let t(p) = -223*p - 24. Calculate -4*g(w) - t(w).\nAnswer: 227*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*k - 26*k - 2091280 = 22*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/5, -5\/3, -4, 1\/4 in decreasing order.\nAnswer: 1\/4, -7\/5, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1155a67 (base 11) to base 13\nAnswer: -556793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-418)\/(-20) + (-2)\/5. Let l = -4 + -17. Let j = m + l. Which is the nearest to -3? (a) j (b) 3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21878, -43752, -65616, -87476, -109338, -131208?\nAnswer: -153092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.295 (b) 7 (c) -2 (d) 0.03 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -792552.3 rounded to the nearest one thousand?\nAnswer: -793000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 67\/63)\/((-6)\/(-111) + 1125\/9990)?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 616 and 5636.\nAnswer: 867944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.256914 months in centuries?\nAnswer: 0.012714095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 15*m + 14. Let r be a(14). Let s(x) = 6*x + 1. Determine s(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-407)\/298) + -18*(612\/(-81))\/17.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o - 4 - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (5 - ((-4 - 10) + 6)) - 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 864830570 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169324?\nAnswer: 2, 42331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15256*c**3*i*q**2 + 2*c**3*i*q + 7*c**3*q + 5*c*i*q - c*i - c wrt q.\nAnswer: 30512*c**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 less than 156415\/592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, 2122, 1, -29, -3 in increasing order.\nAnswer: -121, -29, -3, 1, 2122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -bda76 (base 14) in base 3?\nAnswer: -212101102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 r when four letters picked without replacement from {q: 2, r: 4, n: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -152bac?\nAnswer: -152bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6766*t**2 + 9258*t**2 - 7706*t**2 in the form b + q*t + l*t**2 and give l.\nAnswer: -5214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + y = 5 + 3, f - 2*y = 23. Suppose 4*r - 3 = -5*g + 3, -4*g = -5*r - f. Suppose n + 164 = 5*n + g*j, 4*n - 3*j - 174 = 0. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-2*m - 8*m + 13*m).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 481 = -8*w, -3024*v - 64 = -3028*v + w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 6:45 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 10*b + 8. Let w be o(3). Solve w*x + 4 = 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -50374?\nAnswer: -50374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 + -108. Which is smaller: q or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.2 - -33. What is the nearest to -2 in 0, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 65*u**4\/4 - 389*u**3\/2 + 579*u**2 + 18*u = 0.\nAnswer: -2\/65, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231312 (base 4) to base 9.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*b + 575 + 1078 = -349 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834456?\nAnswer: 2, 3, 7, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-320) - 4\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/84)\/(5\/(-100)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037833 is divided by 21620?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -302*z**4 + 4*z**2 + 410. Let b(m) = 2*m**4 + m**2 - 1. Let j(k) = -4*b(k) + x(k). Differentiate j(h) with respect to h.\nAnswer: -1240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 6:28 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:48 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 + i**2 + 2*i**2 + (568*i - 16 - 567*i - 44)*(14*i + 47*i + 43*i) as m + c*i**2 + o*i and give o.\nAnswer: -6240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/9)\/(2\/(-15)). Suppose -2*h = -4*v + j, -2*h - 28 = -4*v - 6*h. Suppose 2*p + 12 = i, -64 + 6 = -v*i - 2*p. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 6 = -g. Solve k + b - g = 0, 3*k + 0*b - 5*b = 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1432 + -20042310?\nAnswer: -20044242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 9:36 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195 - 58. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (18 - 26) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/20255 and 121\/162040.\nAnswer: 162040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 7285 = 7298, -4*o - 213 = 17*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let v(c) = 3*c. Let d(o) = -21*g(o) - 6*v(o). Suppose 0 = -h + 2*h - 2. Let l(j) = j**2 + 2*j**h - 2*j**2. Determine d(l(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27402024 to three dps.\nAnswer: -0.274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7320493 and 326.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1762858575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.2. Let v = -16.31 + -648.69. Let n = 660 + v. What is the nearest to 0.1 in n, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27606 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1114*w**2 + 5*w**4 + 580806 - 2*w - 295*w**2 - 580807 as k*w**4 + n*w**3 + b*w + q*w**2 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264030 is divided by 792?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11297, -22586, -33867, -45146, -56429?\n\"Answer: -f**3 + 10*f**2 - 11312*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o. Suppose -2*k = -o*k + 6. Which is the closest to 0? (a) k (b) -1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4 + 2\/1). Suppose 3*k - 88 - 194 = l. Let o = k - 61. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4055\/279 less than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2307*4.\nAnswer: -9228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 14 = -3*t, t + 4*l - 1 = -2. Suppose -t*j + 5*x + 613 = -0*x, -3*j = -x - 629. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -2650355?\nAnswer: 2650350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -156, -4, 2.\nAnswer: -156, -4, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -4*x - 17. Let t = 23 + x. Which is smaller: t or 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(3*(-42)\/(-288))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*u**2 + 17*u**2 + 9*u**2 + 17*u**2 + 16*u**2 + 55.\nAnswer: 4*u**2 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -6*b + 46. Suppose 3*m + 13 = 5*g, 3*g + 32 = b*m + 7*g. Sort 6, -3, m, 1 in increasing order.\nAnswer: -3, 1, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245)*-1 + 0 + -2.\nAnswer: -7*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000453438153 to 7 dps.\nAnswer: 0.0004534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4*w + 6)*(0 + 0 - 3) + (1 + 4 - 1)*(0*w + 0*w - 2*w).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -1) + 302086\/5765.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*x - 0*x. Let b = 0 - x. Factor b*r**2 + 0*r + 3*r + 3*r**3 + 0*r + 3*r**2.\nAnswer: 3*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 - 1) - (-1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:00 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17974 - -18114. Solve -s = -64*x - 588 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -55*p - 425. What is the remainder when v(-12) is divided by 70?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 6*x**2 + x + 9. Let n be o(-6). Solve -3*h = 4*b - n, 5*b - 15 = 4*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0*c - 1\/24*c**4 - c**2 + 1\/120*c**6 + 2\/3*c**3 + 0 - 1\/15*c**5. Let m = -202 + 206. Calculate f(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 59955*j - 8062460.\nAnswer: 5*(j - 12124)*(j + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 17235320251.\nAnswer: -17235320252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-66))\/((-9)\/(-8))*(-18)\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/25*1450\/(-2030) + (29\/(-252))\/(-1).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24695 is divided by 154.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f**3 + 2*f**3 + f**3)*(-47 - 50 + 28) as r*f**3 + t*f + o*f**2 + h and give r.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/315 and -17\/350.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*w - 1148 = -79*w. Is -571\/2 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403641.\nAnswer: 3, 7, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 2*k + 28. Let x be y(7). Calculate the remainder when (-89)\/x + 69\/21 + -3 is divided by 42\/(-2)*(-2)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/13)*m**(2\/25) assuming m is positive.\nAnswer: m**(101\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01 or 19892.88?\nAnswer: 19892.88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w**3 - 16621 + 16621.\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 4. Let j be h(6). Let v be (-2)\/(((-4)\/1)\/j). Let z = 90 + -92. Sort v, -9, z in increasing order.\nAnswer: -9, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:51 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 5*o + 29, -5 = -f - 7*o + 5*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -11. Let o be (-2)\/(-4)*(u + -4). What is the closest to o in -5\/3, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 983171133 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450000 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 10:12 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/7 - 140402*f\/7 + 280796\/7 = 0. Calculate f.\nAnswer: 2, 70199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in 24, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72248 and 639232?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(8\/(-32))*1. Suppose -6*n + 3317 = -3*n + 2*h, -5543 = -5*n + a*h. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163.1 - 181. Let k = l - -17. Let u = k - 2.1. Which is the biggest value? (a) 5 (b) 1\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 u when four letters picked without replacement from {u: 2, r: 3, f: 5}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19.1 in -0.4, -1\/2, -12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 56*u**2 - 126*u - 175. Determine k(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 4*s + 2. Let f(c) = c**2 + 3*c - 5. Calculate -2*f(p) - 3*g(p).\nAnswer: p**2 + 6*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(2\/5)\/w*w))\/w)\/w**5*(((w*w*w**(2\/9))\/w)\/w)\/((w**(2\/19)\/w*w*w)\/w) assuming w is positive.\nAnswer: w**(-4517\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (521 - 316 + 836 + 579 - 58)*(16*r**2 - 16*r**2 + 5*r**5).\nAnswer: 7810*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1) + -3 - -4. Suppose -2*s + 2*o = -14, 5*s + f*o = 9 + 2. Solve s*y = 3*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-126)\/49 - -5 - 2. Factor 0 - b*p**3 - 1\/7*p + 1\/7*p**4 + 3\/7*p**2.\nAnswer: p*(p - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-104)*((-32)\/(-12) + -2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b + 3*b + 3 + 10. What are the prime factors of y(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11674 - -11667. Let x = -1 - -5. Which is the third smallest value? (a) 1 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a week in minutes?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 + 134. Let n be (1 + 94)*(v - 3). Calculate the greatest common factor of n and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 9:24 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*t - 12, -5*d - 3*t + 28 = 0. Solve -5*g + 20 = 4*c - 3, -21 = -3*c - d*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 12*u + u. Suppose -x + 2*s = -0 - u, -x + 13 = -4*s. Sort -6, 5, 2, x in decreasing order.\nAnswer: 5, 2, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 + 153. Suppose m*j = 2*k + 2*k, 6 = 3*k. Solve 3*g = -g + j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-84)\/(-10)*(-81)\/(-6). Let j = 113 - p. Suppose -5 + 4 = 5*g + 4*r, 1 = g + 2*r. Do j and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h - 1. Let c(g) = -32*g - 3. Let b(m) = m**2 + 7*m + 23. Let n be b(-6). Give n*k(a) - 6*c(a).\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -18, -2\/5, -1\/2.\nAnswer: -18, -1\/2, -2\/5, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)*(d*d**(-6))\/d)**(-8\/3)*d**(1\/8)*d*d**(-5)*d**(1\/7)\/d*(d\/(d*d**6))\/d assuming d is positive.\nAnswer: d**(5557\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -543988, -2175874, -4895648, -8703304, -13598836, -19582238, -26653504, -34812628?\nAnswer: -44059604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 96*d - 62*d - 122 = 2*c, 4*c + 4*d = -28 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*v**5 - 54*v**2 + 35*v**2 + 29*v**5 wrt v?\nAnswer: 1740*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1557372?\nAnswer: 1557373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0518 - -0.3482. Which is the smallest value? (a) 3 (b) -1 (c) 7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-539)\/(-132)*(4\/84)\/((-161)\/966)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - b = -6*b - 18, 0 = -3*f - 3*b. Solve f*q - 29 = -35 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkktkkkckkktt. Give prob of picking 1 c and 1 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, v: 4, a: 7}. What is prob of sequence va?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*h - h = 13, 0 = 2*o - 5*h - 17. Let r be (1 - (0 + 2)) + o. Solve r = -2*n - 0 + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197 a factor of 45108945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-3*-1)\/(sqrt(30)\/sqrt(75)).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 2*h**3 + 26856450*h**2 - h**3 - 26856454*h**2.\nAnswer: 7*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -707\/76 - -39\/19. Let o = 15\/2 + w. Let x = 0.3 - -0.2. What is the closest to o in 2, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13780062, -13780101, -13780166, -13780257, -13780374?\n\"Answer: -13*v**2 - 13780049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89145*b*t**6 - 115*b*t**5 + 66*b*t**2 - 96*b*t + 54*b + t**2 + t wrt t.\nAnswer: -10697400*b*t**3 - 6900*b*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d - 7*d - 2 + 8*d. Let u be z(4). What is the remainder when 53 is divided by (u - -1) + -7 + 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2180951.\nAnswer: 607, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*i = -4*u + 115, u - 5*i - 43 = 0. Let k = 50 - 33. What is the remainder when (-1 - -4)\/(u\/294) is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.058 - -0.558. Sort -0.4, f, -0.3 in ascending order.\nAnswer: -0.4, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1254 = -o, -751 = -3*n + 3*o - o. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 33*u**2 - 24*u - 85. Is 15 a factor of a(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*v = -15, 0*r = -3*r + 4*v + 11. Solve -2 - 13 = r*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 5. Let v be b(-3). Suppose 4*c = 2*x - 6, v*x + 2 - 8 = -5*c. Suppose -3*m - 3 = -x*q + 3, q = 5. Solve -l = m*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77135 - -77138.0973. What is p rounded to one dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3108\/1110)\/((-16)\/10).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161*i**2 + 126*i**2 + i**6 + 30*i**5 + 123*i**2 wrt i.\nAnswer: 120*i**3 + 1800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1173)\/(-3) - 3*(-6)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.894 - -29. Let i = a - -0.284. Let z = i - 0.59. What is the smallest value in 1, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -24. Calculate the remainder when 45 is divided by c + 5 + (0 - 2) - -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 8. Let c be k(-8). Suppose h - 4*h - 2*s + 25 = 0, 2*s - 10 = c. What are the prime factors of 255\/25 + (-1)\/h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23621\/2 + 11812. Which is the closest to -1? (a) -0.111 (b) -6 (c) i (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84336 and 263550.\nAnswer: 2108400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 33. Let f = z - -92. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d + 6. Let z be t(-7). Let k = z + 113. Calculate the greatest common divisor of k and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:55 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*p - 5*b - 12, 0 = -2*p + 4*b + 22. Solve -s - p = -3*q, -q + 4*s + 10 = -7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44500799 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 23 = 27. Let r be ((-832)\/(-10))\/((-2)\/t). What is r rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*r + 5*d + 15, 3*r = -2*d - 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-6)\/(-9))*10. Suppose -3*u = 2*u - a. Suppose -3*g = -0*g - 51. Solve u*z + 0*d - g = -4*d, 5*z = -4*d + 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*f - 271902, 4*z + 79*f - 74*f = 362529. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 136\/32 - 891\/2700?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q**5\/6 + 142*q**4\/3 - 211*q**3\/2 + 137*q**2\/3 + 20*q\/3 = 0. Calculate q.\nAnswer: -10, -4\/35, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -421.7 and -17.9.\nAnswer: 7548.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80389020 to the power of 1\/2, to the nearest integer?\nAnswer: 8966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 15695 = -5*i, -2*r + 10987 = 5*i + 3132. List the prime factors of r.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ab (base 12) in base 7?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 0*j - 9 - 4\/3*j**3 + 0*j**2. Let p(o) be the third derivative of -o**5\/30 + o**2. What is p(k(y))?\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17314 times 4?\nAnswer: -69256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) - (-27)\/6. Let r(a) = 67*a - 16. Let l be r(t). Let q = 364 - l. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h**2 - 3*h**2 + h**2)*(1 - 1 - 1)*(3*h + 1 - 1) + 16*h**3 + 80*h**3 - 39*h**3 to the form k*h**3 + p + z*h + s*h**2 and give k.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l - 4, 0 = -2*k + 4*l - 2. Let q = 6 + k. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 1, g: 11, b: 4}. What is prob of sequence eg?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*y)*(14*y**3 - 2*y**3 + 5*y**3)*(-y + 0*y + 0*y).\nAnswer: 34*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2. Let d(q) = q**3 - 7*q**2 + 8*q - 4. Suppose 5*a - 11 = 19. Let i be d(a). Let c(k) = -8*k + 11*k - 3*k - i*k**2. Calculate m(c(j)).\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-6))\/(-1)*1452\/(-1936)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 9:18 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.19 - 0.19. Which is the biggest value? (a) -0.4 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 l when three letters picked without replacement from {b: 1, r: 1, l: 1, e: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:32 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21238 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 57201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15751*n + 15751*n - 3*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 839160 by 27.\nAnswer: 31080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*k = -14068, u - 3177 = -3*k - 17245. What is the units digit of u\/(-15) - (-50)\/375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 130 = 15. Solve 2*b - 2 = 3*a, -t*b = -4*a + 3*a - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -42. Suppose 184600000 = 11*r + m*r. What is r rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, y: 2}. Give prob of picking 1 y and 3 s.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 6) in base 16?\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 10, a: 1, n: 2, w: 3, z: 1}. Give prob of sequence nt.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 - 5*c + 15. Let o(d) = -2*d**2 - 3*d + 10. Calculate -5*f(u) + 7*o(u).\nAnswer: u**2 + 4*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 2*v**3 + 3*v)*((-2 + 0 + 4)*(1 + 3 - 2) - 1 + 5 + 0 + 3 + 1 - 6) to the form h + m*v**2 + l*v**3 + s*v and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(7\/5)*b**(1\/4))**25)**(1\/61) assuming b is positive.\nAnswer: b**(265\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -247*1\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**3 + 6*v**2 + v + 1. Let d(q) = 3*q**3 - 5*q**2 + q - 1. Let f(x) = -2*d(x) + u(x). Determine f(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*1)\/(-4) + (-135)\/(-90). Suppose -4*b - 6 = -3*y, 2*y - 3*y = b - v. Solve 2*w + 4*r + 12 = b, -3*w - 1 + 23 = -4*r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 + 464*t - 80736.\nAnswer: -2*(t - 348)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47, 18, -15, -52, -93, -138?\n\"Answer: -2*h**2 - 23*h + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Let v(k) = k**2 - 2*k + 2. Let z = 9 + -6. Calculate the smallest common multiple of g and v(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = -44. Let j = s - 3. Suppose 0 = 3*c - 5*c + 112. What is the highest common divisor of j and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-260)\/650)\/(30\/(3\/1))*-1?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, b: 1, s: 9, z: 1}. What is prob of picking 1 z and 2 j?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u. Let i(l) = 9 - 9 + u*l - 9*l. Let f(j) = -28*j. What is 5*f(k) - 16*i(k)?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-148)\/(-1*2) + -26 + 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 778*n = -779*n - 62, 0 = -3*o + 2*n - 32. Let y(k) = -k**3 - 11*k**2 + 10*k - 11. Calculate y(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69 and 0.084701?\nAnswer: -5.844369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 142 = -26. Suppose 2*k + w - a = 0, 3*k - 3*w - 69 = -0*k. Calculate the remainder when 129 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4764 + 4735. Put 3, -1, f in descending order.\nAnswer: 3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 38232?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2 - 2*a + 0*a**2 + 0*a**2 - a**2. Let p be l(-2). Which is bigger: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 143 from -8015394491.\nAnswer: -8015394634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, -167, -473, -901?\n\"Answer: -61*g**2 - g + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 4*d - 6 + 2, -3*d = -2*a - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**3\/3 + p. Suppose i - 2 - 2 = 0. Let v(c) = -3*c + 0*c - 4*c + i*c. What is z(v(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4 - (-2)\/4. Suppose i*f - 58 = 16. What is the common denominator of 55\/14 and (-6 - -9) + f\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355001.033 rounded to the nearest 10?\nAnswer: 355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*q - 1 = 0, 3*g + 4*q - 3 = 2*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/3 - 502985*q\/3 + 52256360\/3.\nAnswer: 5*(q - 100493)*(q - 104)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99))\/sqrt(9) + ((sqrt(176) - (sqrt(176) + -2 + sqrt(176)) - sqrt(176)) + sqrt(176) - sqrt(176)))**2.\nAnswer: -24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(5 + -4) + 8. Let b(d) = -3*d. Let j(g) = -6*g + 1. Calculate i*j(s) - 5*b(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656*n**2 - 2834848 + 2834848.\nAnswer: -656*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -19127*j + 382535. Give f(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 101120 (base 3) to base 12\nAnswer: 1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16444243 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*j - 2*j + 10, 2*v - 11 = -j. Suppose 3*q = -3*p + 15, -3*p + 6*p - 4*q - 1 = 0. Solve -15 + v = p*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 0*f + f + (-2*f + 4 - 4)*(-2 - 1 + 2) - f + f + 2*f + (13*f - 2*f - 7*f)*(-5 + 2 + 1) in the form v*f + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6.9, 1\/3, -3, 0.4, -5, 43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7751.000006814 - 7751. Round r to 7 dps.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1732222 and 338913.\nAnswer: 15589998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1. Let b = -49 + 52. Let j(o) = -17*o**2 + 1. Let w be (-8)\/9 + (-2)\/18. Let s(r) = b*f(r) + w*j(r). Differentiate s(l) wrt l.\nAnswer: 34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x + 14*x = 693 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, -1, -5, 286, -2, -3 in decreasing order.\nAnswer: 286, 3, -1, -2, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*m**3*y + 5536741*m**3 + 679*m**2*y - 20979*m**2 + 2*y wrt m?\nAnswer: -60*y + 33220446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 88 = -2*y - 6, -4*w = -y + 85. Let v be w\/(-1) + (-8 - -1 - -9). What is the highest common factor of v and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from ppwuidc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3 + 11 = 2*o, -5*o + 5*x = 0. Let u = -24 - 20. Let i be (o\/8*-1)\/(u\/32). Which is the second smallest value? (a) -11 (b) -0.4 (c) i (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -14*y**3 + 33*y**2 - 7*y + 7. Let x(m) = 15*m**3 - 32*m**2 + 6*m - 6. Let t(w) = 6*a(w) + 7*x(w). What is the third derivative of t(l) wrt l?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2. Let l(n) be the second derivative of 47*n**3\/6 + n**2 - 313*n. Give l(x(o)).\nAnswer: 141*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -118. Suppose c = -0*l + 4*l. Let w = -13 + l. Solve 0 = 3*a + 18 - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 51605*i - 454. Is x(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 10*h**2 + 5*h - 14. Let u be m(10). Let c be u\/((-3)\/9 - (-11)\/6). Suppose -2*f + 254 = -c. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Let z = 209 - 204. Calculate the remainder when z is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/20*(-24 - -4). Let y be 8\/(-12) - 137\/(-3). What is the greatest common factor of y and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1413, 2810, 4213, 5622, 7037, 8458?\n\"Answer: 3*c**2 + 1388*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 3:31 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1943, -1973, -2003, -2033, -2063?\n\"Answer: -30*s - 1913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 8 - 3. Let s(n) = 0 - 5039998*n**3 + 0 - 2*n**2 - 3 - n + 4. Let c be s(r). Round c to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -602140 by 150535.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 + 42*g + 86.\nAnswer: -(g - 86)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 - 7*t - 5. Let n be w(-1). Suppose -5*i + 3*x + x = -24, n*x - 7 = -3*i. Solve a + 4*a = 5*l - 15, -a + 17 = i*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 9*s**2 - 8*s + 39. Is a(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a. Suppose a = -5*x + 3*x + 26. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*d = -229*d + 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -621, -3252, -10395, -24306, -47241, -81456, -129207, -192750?\nAnswer: -274341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*((-3)\/2 + 0). Let u = -118 - -122. Let t(d) = -u + d - 1 - c + 7. Determine t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 8 - 3*h**2 + 5 + 8.\nAnswer: -3*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 70\/17 - (-78)\/(-663). Solve -n = 5*p - 18 - 2, 0 = -s*p - 4*n + 32 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -50, 4 in increasing order.\nAnswer: -50, -45, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199729 is divided by 731?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-18) + (-26)\/117?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 1786.\nAnswer: 31\/1786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + -265. Is 19 a factor of 2*(t\/10)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 68 + 82 = 0. What is the least common multiple of d\/(14\/20)*(-1 + 2) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3\/4 (c) -2\/131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.7 (c) 0.4 (d) -1\/8 (e) -15 (f) -24420 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 184349 * -10\nAnswer: -1843490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38202 and 127340?\nAnswer: 382020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q**5 + 2565*q**4 + 5961*q**3 - 5223*q**2 - 4167*q + 810 = 0.\nAnswer: -45, -3, -2\/3, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**3\/7 - 3*o**2\/7 - 3*o\/7 + 13. What is p in c(p) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*2 + 4*sqrt(275))**2 - (-4 + (sqrt(99)\/(sqrt(36) - sqrt(9)))**2))*-6.\nAnswer: -44574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*y = -y + 1, -q - 5*y = 4. Suppose q - 24 = -z. Let f = 2 + 6. What is the remainder when z is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1260 - a?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 383 + -259. Let x = -43 + p. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 - -69. Suppose 4*x - 3*x = 24. Let a be x\/(-20)*s\/2. What is the greatest common factor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/5 - 40392*o\/5 - 88763648\/5.\nAnswer: -4*(o + 3232)*(o + 6866)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3044b4 (base 13) to base 11\nAnswer: -6a8105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = h - u - 7, 3*h + 2*u - 99 = 0. What is the least common multiple of 4 and h?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n - 60*n = 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -15. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minus 13453?\nAnswer: -13442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 36 = 3*c, 2*x - c + 2*c - 44 = 0. Let w be 6\/(-3) - (2 + -21). Suppose -3*h + 22 = -w. Calculate the remainder when x is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 210 - 74 = 0. Calculate the highest common factor of 187 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 930 = 5*j + 2*y, -2*j - 2*y + 372 = -0*y. Suppose 5*i + j = 8*i + n, 0 = 2*i - 3*n - 124. Let p = -65 + i. What is the closest to -1\/4 in -4\/7, p, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65964 divided by -478\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/((-1680)\/45)*6\/(-2).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*o + 2*y - 351, 2*y = 2*o - 172. Suppose 4*l - o - 93 = 0. Let u = 96 - l. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12993572341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 + 69*t**2\/4 + 141*t\/4 + 71\/4.\nAnswer: -(t - 71)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = s + 28*d - 2*d, -2*s + 5*d = 6*d - 32 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*s - 43*s - 131*s = 216*s + 54384 for s.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) - (sqrt(972)*-2 + sqrt(972))).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3627, -3631, -3639, -3657, -3691, -3747, -3831?\nAnswer: -3949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 661.6306 centuries in millennia?\nAnswer: 66.16306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/6)\/((64\/384)\/((-8)\/((-96)\/(-7)))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 215*j**5 + j**2 - j + 57 wrt j?\nAnswer: 4300*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**11)**(-31)\/(l\/((((((l*l\/l**0*l)\/l)\/l)\/l)\/l)\/l)*(l**(-8\/13)*l)\/l))**(-5) assuming l is positive.\nAnswer: l**(22320\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**7\/21 - t**5\/12 + t**2\/2 - 5*t. Let b(m) be the first derivative of j(m). Find the third derivative of b(i) wrt i.\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 1:56 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18\/7141 + -736819\/514152. Find the common denominator of m and -34\/11.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60852 divided by 6?\nAnswer: 10142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8602 is divided by 3968?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:54 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -12. Let z = -11 + y. Let a = 1.3916 - 1.0916. What is the smallest value in a, -9, z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/35)\/1*(-4886)\/2094.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165097 and 10237?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (1 - 2) + (2704 - 2721)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w**2 + 10*w - 12. Suppose -5*t = -9*t - 4*s + 40, 2*t = -3*s + 29. Give m(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 20 + (2 - (-4 - -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 3. Let z be d(-3). Let u = 2002 + -2000. Solve -u*w - w + 9 = z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 356 + -1779\/5. What is the biggest value in 5, -4, l, -161?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4599, 16727, 36415, 63663, 98471, 140839, 190767?\n\"Answer: 3780*s**2 + 788*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -2. What is the third smallest value in 0.3, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44845.96 - -44846. Sort 2\/35, -5, -18, 0.3, u.\nAnswer: -18, -5, u, 2\/35, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82.1142 - -82.2. Let r = -21.6358 + i. Let l = 21 + r. What is l rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 3\/10 (c) 4 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 28 = v - 0*v, 25*v + 2*j + 16 + 92 = -24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 4 + 2*z**2 - z**2 + z. Let q = -97 + 100. What is i(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23101 divided by 23101.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 7*k**3 + 3*k**3)*(k + 0*k + 0*k) - 8*k**4 - 6313 + 6313.\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, w: 3}. Give prob of sequence ccc.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 + 8)\/((-2)\/28) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/42*(-48)\/(-16) + -9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2*y + 43, -5*n = -2*y - 20 - 27. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601 is divided by 73.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*23.238.\nAnswer: 6.9714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -10. Let c(r) = -r + 9. Let d be c(0). Solve -d - q = h + 3*o, -5*h - 5*o = 30 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -69, -288, -655, -1170, -1833, -2644?\n\"Answer: -74*k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (80 + 41 - 11 + 85)*(t + 0*t - 2*t) to the form k*t + x and give k.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 1) + 10 + (-6 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3767273 and 2218?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.219 - 0.119. Let l = c + -6.9. What is the third smallest value in l, -0.5, 4, -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 6 (c) 8 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -41 (b) 3 (c) 11.9 (d) -0.14 (e) 5 (f) -4 (g) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4 + 9 = h, 0 = -4*h - 2*w - 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*g + 22*g + 95 = 0. Suppose 4*w - 48 = -4*u - 0, 2*w + 3 = u. Suppose 0*c = -3*c + u. Solve 3*s - 21 = 6*s + g*f, 3*f = 3*s - c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -40*j**3 - 2*j**2 - 2*j - 1. Give p(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46439 - 26202. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-956)\/717)\/((-3)\/((-189)\/12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 - (-9 - 2 - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a + 495 = 4*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(1\/34))\/z)\/(z\/z**20))**13 assuming z is positive.\nAnswer: z**(8385\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -26. Let o = 23 + s. Put -2\/7, o, 2 in increasing order.\nAnswer: -2\/7, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2714 - -0.7.\nAnswer: 0.9714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(0*t + 3*t - 5*t)*(28 - 39 - 65).\nAnswer: 152*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u + 4. Let x(a) = a**2 - a - 1. Let j be x(-7). Let c be (j\/5 - 19)*1\/(-2). Calculate f(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/60 + 25*l**4\/24 - 13*l**3\/3 - 2*l**2 + 30*l. Find r, given that n(r) = 0.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1332\/(-1184)*2\/(-3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*i**4 + 28*i**4 + i + 0*i**2 - 2*i**3 - 42*i**4 - 1 - i**2 in the form l*i**2 + p*i**4 + c*i + o*i**3 + j and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**2*r**3 - 649*l**2*r**2 + 22797*r**3 wrt l?\nAnswer: -4*l*r**3 - 1298*l*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)\/sqrt(9))\/sqrt(8) - (-1 + sqrt(22)\/sqrt(11))) + (sqrt(128)*4)\/(-2*sqrt(484) - sqrt(4) - sqrt(4)))**2.\nAnswer: -4*sqrt(2)\/3 + 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h = -4*u + 60, -u - 24 = -2*h. Let z(w) = -w**2 + 32*w - 41. What is the tens digit of z(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 544499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -27 - (-1 - -13) - (6 - 5 - -3)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/9 (b) 674 (c) 2\/145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75221 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6182676?\nAnswer: 2, 3, 19, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, i: 11}. What is prob of picking 2 h?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113\/2 + 55. Which is the fourth smallest value? (a) -1\/16 (b) o (c) -1 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.057 or -0.794?\nAnswer: -0.794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 1. Let g(m) = -148*m + 111. Let b(k) = g(k) - 111*q(k). Is b(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 1. Let k be l(-4). Let f = k - 4. Solve 0 = -f*u + 4*v - 13, u + 4*v = -3*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, u: 3}. Give prob of picking 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -2\/5*a**2 + 1\/5*a**4 + 0*a - 4\/15*a**3 + 10 + 4\/25*a**5. Factor p(u).\nAnswer: 4*u*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = u + 23. Let f(q) = -9*q - 16. Let r be f(u). Let p = 21 - 21. Solve p = -3*z + r - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - r**2 + r + 8. Let f be w(0). Calculate the highest common divisor of f and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36690)\/(4\/2*(-8)\/8). Let -18345 - 2*k - 2*k**2 + x = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 29*j**2 + 82*j - 91. Let s be o(26). Let b(h) = 3*h - 20. Calculate b(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29014873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 5)*(5 + 4 + 4)*(c - 4*c - c) as a*c + u and give a.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*u - 85, -u - 83 = -4*u + 4*h. Let r = 61 - u. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b - 1. Let z(n) = 1. Let d(y) = -l(y) + 6*z(y). Let f(w) = 69*w - 4. Let a(v) = 125*v - 6. Let g(o) = 6*a(o) - 11*f(o). Determine 7*d(r) - 6*g(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -318.\nAnswer: 127.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**6\/360 + z**5\/40 - 2*z**3\/3 + 2. Let r(n) be the third derivative of q(n). Let s be r(3). Solve -p - 6 + 3 = s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b + 119397 = -141708. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3938317356 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2018347612?\nAnswer: 2, 23, 743, 29527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 265 and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 0 - 20 - (-1 - 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 304890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(10\/9)*l*l**4 assuming l is positive.\nAnswer: l**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4150382, 4150392, 4150402, 4150412, 4150422, 4150432?\n\"Answer: 10*a + 4150372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4350*i**5 - 3*i**2 - 101 wrt i.\nAnswer: 261000*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 plus -5.25?\nAnswer: -18.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 53, 28.3?\nAnswer: 28.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-3 - (2 - 1 - 9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451147.\nAnswer: 97, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10848\/58760)\/(9\/(-26))?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 0.4, 10, -0.8 in ascending order.\nAnswer: -0.8, 0.4, 10, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-2))\/(-4*(-15)\/(-120)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0391 or -310\/8043?\nAnswer: -0.0391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.929 and -0.5.\nAnswer: 4.4645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f**2 - 45*f**2 - 50*f**2 - 111*f**2 - 43*f**2 + 283*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1760*x - 44553 = -664073. Let j = 0.02 + 0.08. Which is the nearest to -2\/5? (a) j (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120.932 + -7.28771329\nAnswer: -128.21971329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7911 = 10*f. Suppose -f = 92*l - 93*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 7*y - 4*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:39 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6257 or 0?\nAnswer: -2\/6257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17118490.\nAnswer: 2, 5, 17, 101, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87394*p**3 - 90991*p**2 wrt p.\nAnswer: -524364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1.4, 2\/351?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:56 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1641034 is divided by 1641023.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 < -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*i - 20 + 28 = 0, -2*g + 11 = i. Solve -5*z = g*y - 19, 4*z - 10 = y + y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 1262853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 - 3*a)*(3 + 0 - 4) - 50*a + 102*a - 48*a to d*a + u and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.727256 to 1 decimal place.\nAnswer: 22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 361284 to the power of 1\/2, to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 13 + 3 = -4*w, 0 = 3*w - 3*c - 12. Put -3, w, 3, -6 in increasing order.\nAnswer: -6, -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36 - 29 - 74\/10. Does 2 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 297489, 595226, 892963, 1190700?\n\"Answer: 297737*y - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzznbznzz. Give prob of sequence zz.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12572374447\/7356675 - -174\/98089. Let v = h + 1709. Is v at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 445 + -445. Suppose v = 19*g - 27 - 315. Which is smaller: g or 21?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 174097329*l - 174097329*l.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 6*r**2 + 6*r - 6. Let q = -1690 - -1684. Give g(q).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -373 - -410. What is the remainder when 109*(-9)\/3*(-6)\/18 is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 14 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 11*k**2 + 7*k - 2. Let d be r(6). Solve 0*c + 2*c - 6 = 0, d*c - 37 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -8. Suppose p*o = 16 + 20. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -148, -7, -5, -1\/2?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 20.58596 nanometers?\nAnswer: 0.00002058596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, -224, -1255, -2898, -5153?\nAnswer: -8020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 2*t - 2. Let k be r(3). Let a(j) = 43 + 40 - 75 + 4*j**2 - 11*j. Is a(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 29*v**3 + 11*v**3 + 1 + v**4 + 6*v**3 as g*v**2 + b*v + j + q*v**4 + o*v**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1) + -7 + 7. Let h = z + -2. Let u(a) = 12*a + 1. What is the common denominator of -23\/9 and u(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21318 - -1c?\nAnswer: -212c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1010436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/10)\/((1134\/28)\/(-27)). Which is the closest to -0.1? (a) -16\/17 (b) -1 (c) 1\/6 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 740, 1454, 2146, 2828, 3512, 4210, 4934, 5696?\n\"Answer: 2*z**3 - 23*z**2 + 769*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v + 66*v + 36*v.\nAnswer: 91*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 6*i**2 - 4*i + 1. What is the least common multiple of 32 and q(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 847048 - 293489. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 59241215*g + 59241216.\nAnswer: -(g - 1)*(g + 59241216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 207379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-2) + (-10*1)\/(-2). Suppose 5*s = -m*s + 160. Find x such that -231 + 231 + s*x**2 - 5*x = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03992 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146043 - 572043 = 2*q. What is q rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96.25279774 - -1.25279414. Let p = o - -95. Round p to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/72 and ((-1397)\/66)\/(6 - -3)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17400 divided by 5800\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57236.\nAnswer: 2, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 + 5*o**4 - 15 + (-4*o**2 + 6*o**2 + 6*o**2)*(o**2 - 2*o**2 + 2*o**2) + 0*o**4 + 0*o**4 - o**4.\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddyiiuduuvduiudr. What is prob of sequence dvri?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109238 is divided by 96.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r - 15. Let m be r\/(5\/(-2) - -1). What is the second derivative of 2*h**5 + m*h + h**5 - 4*h wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564, 719, 874, 1029, 1184, 1339?\nAnswer: 1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f - 8. Suppose 2*l + 14 = 2*x - 3*x, -3*l - 7 = 5*x. Is 3 a factor of b(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 10*u**2 - u + 6. Calculate the remainder when 62 is divided by f(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*l + 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8220\/(-14796)*(-36)\/(-2310)?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 1:37 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*z - 916, -3*z + 3*x + 2228 = 2*z. Calculate the greatest common factor of 320 and z.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19137467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 4*v - 5. Let h be g(2). Suppose h*w + 60 = 93. Solve w*s - 3*l = 0, -5*l = 3*s + 2 + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111012 - 12?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -490, -740, -992, -1246, -1502, -1760?\nAnswer: -2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20121 (base 4) to base 13\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 2*j, j + 4*j + 15 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082541 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -89146 (base 11) to base 14\nAnswer: -35182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.730247 hours in seconds?\nAnswer: 2628.8892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -336, 4, -23, -5.\nAnswer: -336, -23, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15680, -31362, -47044, -62726, -78408, -94090?\n\"Answer: -15682*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l + 12*l - 6*l**3)*(-3 + 2*l + 2 - 3*l + (l - l - l)*(9 - 18 + 7)).\nAnswer: -6*l**4 + 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9192.053 + -9192. Is -4.9 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-40)*(-13 - 22). Sort -4, -1, 1, -24, l in ascending order.\nAnswer: -24, -4, -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13764834 by -13764834.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4007, -7988, -11947, -15884, -19799?\nAnswer: -23692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5\/7 - 364296*t**4\/7 - 520488*t**3 + 18945120*t**2\/7 - 2914608*t = 0. What is t?\nAnswer: -14, 0, 2, 121442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*f)*(-2*f**3 - f**3 + f**3)*(-3 - 2*f - 2 + 1).\nAnswer: -12*f**5 - 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.666512 micrometers?\nAnswer: 0.000000666512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 3. Let c be (-1)\/3*(3 + -48). Suppose -10*q + 5*q - c = 0. Give l(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185475545.\nAnswer: 5, 5569, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 + 5*a**2 - a + 13 - 112*a**3 - 12.\nAnswer: -112*a**3 - 3*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 35*m - 446. Let n be x(46). Which is greater: 294\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 11*g**2 - 7*g + 11. Let u be l(6). Suppose 3*r + k = 5*r - 2, 2*r = 2*k. What is the highest common factor of r and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 11. Let w be c(12). Let p(h) = -h - 6*h + h - w + 12*h**2 + 4*h**2. Let l(o) = -2*o**2 - o + 0*o**2 + 5*o**2. What is -11*l(m) + 2*p(m)?\nAnswer: -m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -a389b (base 13) in base 3?\nAnswer: -112220212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 12*y**2 - 12*y - 7. Suppose 3*u = 3*p - 27, -11*u + 3*p - 16 = -9*u. Give i(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**6\/120 - 3*n**5\/10 - 65*n**3 + 348*n**2. Differentiate l(x) with respect to x.\nAnswer: 3*x**2 - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 2*s**2 + 2*s - 7. Let m be n(5). Calculate the greatest common divisor of 176 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (-40)\/5 + (-418)\/(-142). Let x = m - -83\/213. Which is the nearest to -2? (a) 5\/3 (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k + 398. Let q be z(-28). Suppose 0*w = -2*w + 4*b + q, 3*w = b + 120. What is the greatest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**6\/48 + 37*v**5\/120 + v**4 + 13*v. Let x(w) be the third derivative of z(w). Is x(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 + -116. Let b(t) = -2 - t + t**2 - 16*t**2 + 1. Calculate b(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849, -847, -845, -843, -841?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4. Let g(d) = -63*d**2 - 12. Calculate -4*g(n) + 12*v(n).\nAnswer: 252*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-5\/7)*j*j\/j**(-10))**(-6\/11) assuming j is positive.\nAnswer: j**(-516\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173185315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 801, 821, 869, 957, 1097, 1301, 1581?\nAnswer: 1949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/24*(-135)\/10 - (-9 - 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-2*396\/22)\/(240\/540).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(((x**(1\/4)\/x)\/x)\/x)\/x)**(-5\/17)*x**(-8)*x*x**(-14) assuming x is positive.\nAnswer: x**(-1373\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 5*r**3 + 3 + (0*r + r - 3*r)*(-r**2 + 4*r**2 - 2*r**2) + r**3 + 5 - 5 + 0*r**3 + 2*r**3 + 3*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3231845274 to the nearest integer?\nAnswer: 56849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 0*o + 0*o + (3*o - o + 3*o)*(2 + 2 - 2))*(4 - 4 + 3*o)*(-o - 2*o + o) to g + y*o**3 + x*o + i*o**2 and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 1:11 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2. Let a = -3 - -2. Let u(i) = 5*i**2 + 3*i + 5. Let g(v) = a*u(v) - 6*n(v). Let w(x) = x**2 - 4*x - 6. Determine 6*g(f) - 5*w(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268789352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85 and 102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u - u)*(-37 - 31 + 12).\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1*-10*(-736)\/(-320)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22284625\/57491 - 797\/1337. Suppose -13*l + 5785 = 754. Let v = l - m. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l*l)**(-43)*l*(((l**(-1\/3)*l)\/l)\/l)\/l*l**(-1) assuming l is positive.\nAnswer: l**(-394\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6312?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*-2*5. Suppose d*g = 5 + 5. Let u be (-32)\/4*(1 - g). Solve 5*y = -r - 10, 4*y + u*r = 3*r - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6*b = -w - 15, -18 = -5*b + w. Suppose -1 = -s - b. Let a be (-2)\/(-4)*s*0. Solve 3*p + 9 + 6 = a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (-65 - (33 + -5 - 13))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 10*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 7) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229 + -161. Let a = 71 - s. Solve 2*z + 2 = a*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 463040*j.\nAnswer: 2*j*(j + 231520)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/11 and -20\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 293991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = u + u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 6. Suppose h = -c - 0. Let x be (c + 0)*(0 + -1). What is the greatest common factor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 7*c**2 + 60*c + 13. Let t be b(12). Solve -7*m + t*m = -12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122001 + -1112011011012?\nAnswer: -1112010112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - -77. Let c(r) = -r**3 - 13*r**2 - 13*r - 16. What is c(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 142591584 or 142591582?\nAnswer: 142591584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7 + 32*h**2 + 27*h**2 - 3*h**2.\nAnswer: 56*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*d**5 + 79*d**5 - 929*d**2 + 928*d**2 - 309*d + (0*d + 0*d - 2*d**4)*(-3*d - 2 + 2).\nAnswer: 10*d**5 - d**2 - 309*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 + (8 - 7). Let a = 5.61 - -1.39. Put -1, -2, d, a in descending order.\nAnswer: a, d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232260 to the power of 1\/2, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(0 + 2 - 3)*(-3*f + 0*f + f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2920 and 83\/168.\nAnswer: 61320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -188 (b) 0.39 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 566347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 40 = -16*i + 12*i, -3*v = 2*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2\/2913, -0.04?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -361 + 360.78. Let u = -0.13 - a. What is the third biggest value in u, 3, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 78 = 6*y. Let f be 10*((-1)\/((-5)\/y) + -2). Let u = -312 - -316. Solve -u*a + 18 = f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 - -8) + 9 + -2. Solve 2*p = v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 51 - 3*a**2 + 7*a**2 + 51. Let x(j) = 104*j + 1. Give x(n(k)).\nAnswer: 312*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (44\/(-33))\/(1 + (-1989)\/1991). Let q = k + 1315. Find the common denominator of 28\/5 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**5\/20 - 30*t**2. Let x(d) = -d - d - d + 0. What is x(s(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*k + 8, -2*t + 4*t - 12 = 3*k. Let b be t\/(-3 - -1) - -12. Let w = b - 10. What is the lowest common multiple of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by ((-8)\/(-340)*17)\/(4\/230)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q + 13*q - 229 + 49. Let f be w(36). Let g(t) = -t**2 - t - 14. Calculate g(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1678)\/(-10) + (-4)\/(-20). Suppose -174*k = -180*k + m. What is the lowest common multiple of 20 and k?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 16*n**2 - 36*n + 2. Calculate l(4).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 11101021?\nAnswer: 11101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 3) + (-16 - (-32 - -16)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 - 201?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80 - (6 + -16))*(-18)\/(-45)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -176*14\/(-2772)*18\/20*15\/9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-99)\/1)\/(12\/(-800)). What is n rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/28557720 and -127\/28557720.\nAnswer: 28557720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -283 + 176. Calculate the common denominator of -33\/2 and b\/30 - 5\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7, d: 2, o: 8, n: 1}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46)\/(-8)*(-5 - (-6 + -3)). Let o(t) = 74 - 20 + 3*t - i - 24. What is o(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.664947 to two decimal places.\nAnswer: 5.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3\/9 - 359*b**2\/3 + 8786*b = 0.\nAnswer: -1146, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -112*q**2 + 51*q + 3882. Let n(m) = 56*m**2 - 31*m - 1942. Let t(v) = 4*b(v) + 7*n(v). What is the derivative of t(u) wrt u?\nAnswer: -112*u - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 11154982?\nAnswer: -3\/11154982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -22221011 (base 3) to base 16\nAnswer: -196f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*(-4)\/(8\/(-2)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*b + l, -2*l - 20 = -2*b + 3*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*h + 12. Suppose -42 = -h*o - 17. Suppose -o*v + v + 644 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331492 is divided by 271.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**7\/840 - l**6\/60 + l**5\/120 - l**4\/8 - l**3\/6 - l. Let w(y) be the second derivative of m(y). Calculate w(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 90 = -3*l, 0 = -u - 7*l + 5*l + 5. Calculate the least common multiple of 46 and 303\/u + 5\/(-25).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/14 and (-4)\/(-64)*-178*-1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-667)\/29)\/230)\/(8\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.20000034 + -3.2. What is i rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(0 - 4\/(-12)). Let b be (-2)\/u + (-2658)\/(-18). What is the highest common divisor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-242)\/66 + 366\/36.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27010353?\nAnswer: 3, 439, 20509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 17\/7 (b) -2 (c) 0.36 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*z - 12160 = -178*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1432.93*-2.7.\nAnswer: 3868.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by 10227?\nAnswer: -7\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i**2 - i - 2*i**4 + i + 2*i**3 + 18*i**2 + 2 to the form l*i**4 + q*i + c + n*i**3 + g*i**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70*u*w - 4*u - 159*w + 4 wrt u.\nAnswer: -70*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15))\/((-3193)\/62 + 23).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.726208 - -175.726308. Let n = z - 176. Let u = -3 - n. Round u to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 4 - 8) + (-6 + 24 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k + 4. Let p be d(3). Let n be 4*(-2 + p\/8). Suppose 0 = o - n*o + v + 28, 0 = o + 5*v - 14. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4)*j*j**(-8)*(j*(j*j*j*j**(4\/13))\/j)\/(j\/(j*j\/j**(-2\/9))))**(-5\/2) assuming j is positive.\nAnswer: j**(7535\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 136 + 8*v**3 + 7*v**2 - 15*v**3 - 16*v**3 + 20*v**3.\nAnswer: -3*v**3 + 7*v**2 - 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 30*b**2 - 16*b - 47. Is t(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1539 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/225 and 43\/5025.\nAnswer: 15075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 98 and -0.1.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0 + 0*q**3 + q + 0*q**2 - 1\/50*q**5 + 1\/15*q**4. Factor j(p).\nAnswer: -2*p**2*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 175 = -2*b. Suppose -4*i + 280 = b. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3933 and 747.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 5, d: 5}. What is prob of picking 1 i, 2 d, and 1 h?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 17*x = 44. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-9))\/(u*u*(u*u*u**(-1\/6)*u*u)\/u) assuming u is positive.\nAnswer: u**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1688901 is divided by 168874?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2389322, -2389283, -2389194, -2389031, -2388770?\n\"Answer: 4*m**3 + m**2 + 8*m - 2389335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 386 - 225. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:28 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2482898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 85*z**3 - 2*z**2 + 3*z - 2. What are the prime factors of v(1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5117 and 10853888.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -391 (b) -2\/7 (c) -0.4 (d) 0.3 (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -144*w + 724. Let o(j) = 720*j - 3626. Let g(k) = -2*o(k) - 11*v(k). What is the derivative of g(r) wrt r?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(8)\/sqrt(36) - (-5 + sqrt(32))))**2.\nAnswer: -44*sqrt(2)\/3 + 278\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3773292552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1255, 2502, 3749, 4996, 6243, 7490?\nAnswer: 8737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 11111?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 42*v + 45 = 4*r, 4*r = -4*v + 60. Let l(g) = g**3 + 2*g**2 - 2*g. Calculate the remainder when l(3) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b - 4*b)*(b - b - b) + 23*b**2 + 15 - 19*b**2 + 118*b**2 + 4*b**2.\nAnswer: 128*b**2 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 3*v + 0*v + (-1 + 1 - v)*(2 - 2 + 2).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 6*f - 40. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151643650 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*j + 4 = 2, -4*j = 2*b - 22. Solve b*d - 4*v - 14 = -v, 0 = -3*d + 5*v + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*y + 21*y + 9678. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12727794 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**7\/1050 + y**6\/150 - y**5\/100 + 87*y**2 + y. Factor j(x).\nAnswer: -x**2*(x - 3)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-3) + -1)\/(30\/103185). Let m = 59590\/13 - a. Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 13 = 3*o. Let r = -41\/3 - o. Put r, -2\/7, 0.3 in ascending order.\nAnswer: r, -2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 129637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 4:17 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4 - 3 - 35*y + 2 + 25*y**2 - 5. Let v be l(-11). What is v rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2246 by 2.\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3540618746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 10. Let r = -1 - j. Let a be 0 + r - (-6 + 4). Solve 0 = a*m - 7 - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/44 and -19\/38378.\nAnswer: 844316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*d - 6 + 2, -2*m + 3*d = -20. Let y = 10 - m. What is the greatest common divisor of y and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85688 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3266.414 years to millennia.\nAnswer: 3.266414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/n**1)\/n))\/n**9)**48 assuming n is positive.\nAnswer: n**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-40)*-108*3\/(-48) and 23\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (1\/1 - -3). Suppose 10678*w + 34 = 10695*w. Suppose c*d + 120 = g, 3*g + 5*d - 480 = -w*g. Does 26 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -1\/6*p**6 - 2\/21*p**7 + p**4 - 1\/84*p**8 + 0*p**3 + 1\/3*p**5 + 0 - 3*p + 5*p**2. Solve w(u) = 0 for u.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Suppose -2*x + v = -3. Suppose 0 = -4*r + 4*i + 68, -5*r + 89 = -i - 0*i. Solve 3*j + 2*j - 27 = -4*q, x*j + 4*q - r = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264186 divided by -20322?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 19 = -2*o - 8, 2*o = -3*u - 9. Suppose -4 = o*j - 5*j + 2*z, 0 = j - 2*z. Let n = j + -5. What is n rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8382739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1032*q + 36580 + 21212 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millennium in years?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 + 190. Which is the second biggest value? (a) s (b) -0.3 (c) 5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 2*h**2 - 4*h + 1. Let j be z(-4). Let x be (12\/j + 1)*6. Let v = 0.4 + -0.2. What is the third biggest value in v, x, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17570057?\nAnswer: 47, 541, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -669, -765, -863, -963, -1065, -1169, -1275?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80700299?\nAnswer: 80700299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 957 - 952. Solve -h + 17 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 145478422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 270*j**4 + 1345*j**3 - 2185*j**2 - 12920*j + 240 = 0.\nAnswer: -4, 1\/54, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3 + 17*b**2 + 277*b + 9975 wrt b.\nAnswer: 6*b**2 + 34*b + 277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 258\/18*(2 + 1). Let q = 43 + -88. Let w = g + q. Is w bigger than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198368611 - -198369620.99251. Let r = -1010 + a. Let f = r + 0.008. What is f rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*s**4 - 18*s**4 + 6*s**5 - 4*s**2 wrt s.\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*o*v**4 - 2*o*v**3 - 459245*o*v**2 + 91*v**4 - 12*v**3 wrt v.\nAnswer: 192*o*v - 12*o + 2184*v - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -4*a**3\/3 - 7*a**2\/2 + 60*a - 66. Differentiate x(n) wrt n.\nAnswer: -8*n - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + a + 8. Let c be z(-9). Let l = c + 159. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 266371 + -4?\nAnswer: 266366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -85083 (base 9) in base 15?\nAnswer: -119c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87989384 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 5:25 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26675 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l\/(l*l\/(l\/(l*l**30*l)))*l*l\/l**(-34))\/(l**(-15)*l)**4 assuming l is positive.\nAnswer: l**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 147.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - 7051*c**2 - 821280*c - 71548916\/3.\nAnswer: (c - 21269)*(c + 58)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3118 + 2?\nAnswer: 311a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -122 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 - 5*g**3 - 10*g**3 + 20*g**3 - 149.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**2. Let s(r) = 0*r - 3*r - r. Give s(j(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2652)\/(-168) + -16)*-2. What is the fourth smallest value in 3\/4, h, 26, 2\/19?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 k when three letters picked without replacement from {w: 2, g: 1, k: 2, c: 10, n: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 1 - 26. Suppose -2*p + g*n + 55 = 0, p = -2*p - 4*n + 108. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**5 - 115*w**4 - 840*w**3 - 2240*w**2 - 640*w + 3840.\nAnswer: -5*(w - 1)*(w + 4)**3*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*y + 13*y. Suppose -5*x + k - 3*k = 0, -y*x = 4*k + 16. Let n(a) = 2*a**x - 10*a - 2*a**2 - 4 + a**2 + 2*a. Determine n(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 3*t - 13*k - 15402 + 15339 = 14*k, 0 = 4*t - 5*k + 43 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4301 (base 7) in base 13?\nAnswer: -8cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 5\/3 (c) -4 (d) 4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 6:13 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*1157\nAnswer: -115.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 58*r + 2703. Determine x(-48).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-11 - (3 + 4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/2)\/((-2)\/9). Let u = -4 - q. Suppose -h - 40 = -u*h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2. Let r(p) = -166*p**2. What is x(r(h))?\nAnswer: 110224*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69 - 2?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 397, 1123, 2515, 4795, 8185, 12907, 19183?\nAnswer: 27235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13596 and 9888?\nAnswer: 108768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4)\/((-3)\/594). Let f = -15 + j. List the prime factors of f.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 1723, 6281, 15159, 29797, 51635?\nAnswer: 82113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2977604 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 362 by -6.\nAnswer: -181\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20880036167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168046913?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 308\/(-8)*20\/(-14). Solve 15*z = -5 - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -15*v + 4. Let o(c) = c - 5. Calculate -2*o(r) - 2*s(r).\nAnswer: 28*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 5. Let p be d(0). Let h be -5 + -1 + 35 + -31. Put h, 26, p, 3 in decreasing order.\nAnswer: 26, 3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 a factor of 4288926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -27?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-105)\/(-20) - 1)*284 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 40 + 13 - 1237*j + 7.\nAnswer: -1237*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, 1.6, 0.03 in increasing order.\nAnswer: 0, 0.03, 0.1, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 530*v**2\/3 + 2108*v\/3 + 2104\/3.\nAnswer: (v + 2)**2*(v + 526)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -1. Calculate the common denominator of -37\/18 and (-2)\/(-6) + c\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 714*d*v**3 - 1508*d*v**2 + 2*d*v - 23*v**3 - 477*v**2 - v + 56 wrt d?\nAnswer: 714*v**3 - 1508*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404146, 808297, 1212448?\nAnswer: 1616599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 + 4*t**2 - 6*t**2)*(-9 - 2*t + 9)*(-1157 - 1537*t + 1157) as f*t**2 + b*t**3 + o*t + a + n*t**4 and give n.\nAnswer: -9222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3187200 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 11066.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3749, 7496, 11243, 14990, 18737?\n\"Answer: 3747*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpzznzcczrprrppnrnp. What is prob of picking 2 r, 1 n, and 1 p?\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 343*3\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1287631027 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 2*v - 22, 1153*p - 1151*p = 4*v + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4 = -5*x, j + 2*x = -0*j + 6. Suppose j*r + 2*r + 4*i = 568, r + 2*i = 139. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21983, 39039, 56095, 73151, 90207, 107263?\nAnswer: 124319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 17 = 11*p. Is p at least 12\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -7*b + 4455. What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7*t + 28970 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1 (c) -1 (d) -0.19 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 47*y - 17. Let o(v) = -8*v + 3. Determine -6*k(u) - 34*o(u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqqmmmqlmvmqbmmb. What is prob of picking 1 b and 2 q?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-3)\/w)*(w**(-1\/6)*w)\/w*(w**(-1))**(-42))\/(((w**(1\/12)\/w*w)\/(w**(-2\/11)\/w))\/(w**7\/(w**(-2\/9)*w))) assuming w is positive.\nAnswer: w**(20509\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1934.426 to zero dps.\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 149 = 123. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 - 137. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240747312.\nAnswer: 2, 3, 13, 281, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -11)\/(2 + -6 + (-19)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 12*k + 3. Let m be i(-12). Put -1, -3, m, -5 in ascending order.\nAnswer: -5, -3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109370\/80*-2*34*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 4*o + 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 3714?\nAnswer: -3723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -19\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 6. Let o(h) = 0*h**3 + 17 - 6*h**3 + 0*h**3 + 3*h**3. Calculate 17*l(s) + 6*o(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 16 = 5*u + k, 19 = -5*u - 3*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 24\/9)\/((-2)\/18). Let k be (-4 + (-28)\/(-6))\/(1\/g). What is the closest to 0.2 in 0.5, k, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/5)\/(4\/(-20)). Let j be (26\/(-3))\/(b*1\/(-12)). What is the greatest common factor of j and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 2, q: 2, m: 1}. What is prob of sequence qlm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/2692288?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00492667 rounded to 5 dps?\nAnswer: -0.00493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 1. Let z be l(1). Let u be 2\/(-6) + (-57)\/(-9). Suppose u = 3*k - z. What is the nearest to 0 in -1\/2, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1437996 divided by 2226\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2*q*r**3 - 6*i**2*q - 5*i**2*r**2 + 58*i**2*r - 490*i*r**4 + 18*i*r**2 + 450*q*r**3 wrt r?\nAnswer: 12*i**2*q - 11760*i*r + 2700*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 5, -4, 19 in descending order.\nAnswer: 19, 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(sqrt(72) + 1) - (sqrt(72) + -2*(sqrt(72) - (2 + sqrt(72)))) - 4*(sqrt(72) + sqrt(72)*-4 + 2)**2).\nAnswer: -7851 + 756*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50167 (base 8) to base 15.\nAnswer: 6184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1144\/(-28) - 1\/7. Let m = 7 + d. Let x = 55 - m. List the prime factors of x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/18)\/(1\/(-8)). Find d such that -2\/9*d**2 + u*d**3 + 0*d + 0 - 2\/9*d**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + 355233?\nAnswer: 355202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 843973*g + 11*g**2 + 1687946*g - 843973*g + 13*g**2.\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q**2 + 2*q - 2. Let o(b) = -545*b**2 - 65*b + 65. Let u(h) = 2*o(h) + 65*x(h). Let p(k) = -74*k**2. Give p(u(t)).\nAnswer: -16650*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -2 - (4 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 35*o**2 + 3*o - 2. What is the remainder when x(1) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/15 (b) 0 (c) 0.81 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 + 90384*w**2 - 7494899*w - 7585284 = 0. Calculate w.\nAnswer: -1, 84, 90301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -26*o - 934. Let s be k(-36). Let q(z) be the first derivative of 8\/3*z**3 - z**4 - s*z**2 + 0*z - 10. Factor q(g).\nAnswer: -4*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 2*x**3 + 260*x**4 - 2*x**3 + 264*x**4 - 526*x**4 - 34 as w*x**3 + f + m*x + h*x**4 + p*x**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964620?\nAnswer: 2, 3, 5, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.308 and 88.44.\nAnswer: 90.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -10 + 7 - (-7 - 5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Suppose 2*x - 16 = -o - y*o, 0 = 5*x. Suppose o*c - 70 = 2*l, 0 = -6*c + 2*c - 5*l + 105. Solve c = -4*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p = -1583 - 12. What is the least common multiple of p and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26946.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26306, -26308, -26310, -26312, -26314?\n\"Answer: -2*l - 26304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80713441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 35*y + 18. Let n be h(9). Let b be n\/117 + 4\/26. Suppose -6*q + 63 = b*q. What is the remainder when 27 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 4*f**2 + 4*f - 5. Suppose 4*b - 31 = 17. Let z = -12 + b. Let i(x) = -x - 5. Let j be i(z). Determine o(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 129. What is the greatest common divisor of 25 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + y**2 - 1. Let m(z) = 4*z**2 + z - 15. Give 2*k(r) + m(r).\nAnswer: -2*r**3 + 6*r**2 + r - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*v**4 - 91512*v**3 - 91500*v**2 - 91496*v\/3 - 10166\/3.\nAnswer: -2*(v + 5083)*(3*v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 134*p**2 + 520*p.\nAnswer: p*(p - 130)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 0.4, 3, 10, 5, -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.1 + 1.1. Let g = 6 + -8. Let u = g + 2.2. Which is the third biggest value? (a) s (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -3 - (-14 - 3). Suppose -20 = -2*z + f. Suppose -4*n - z + 135 = 0. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 8. Suppose -5*v = 3*b - 98, -f*v + 100 = v + 5*b. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538191385 to the power of 1\/3, to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583\/(-82)*4\/(-28)*-4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**2 + a**2 + 2*a**2 + 0*a**2 to i*a + f*a**2 + q and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 + 9*h**3 - 27*h.\nAnswer: -h*(h - 3)**2*(2*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 14*h**2 + 19*h + 3. Let d(o) = 5*o**3 - 41*o**2 + 56*o + 9. Let l(b) = 8*c(b) - 3*d(b). What is the tens digit of l(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 212569\/34 - 6252. Which is the fourth smallest value? (a) -2\/3 (b) 3\/2 (c) -0.3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-20)*1*168\/14.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-2))\/(72\/90)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25066689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54 - 6 + 53 - 3*l**4 + 0*l**4 - l**4 + 3*l**4 - 4*l**2 + 4*l**2 - 2*l**4 + (16*l**3 + 15*l**3 - 34*l**3)*(5*l - 3*l - 5*l).\nAnswer: 6*l**4 + 101","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 160, 173, 206, 265, 356, 485, 658?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 410, 919, 1632?\nAnswer: 2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/16)\/(82\/3854))\/(1\/2).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from zgzgdyyyckcygd.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1422, 238, 4720, 13434, 27790, 49198, 79068, 118810?\n\"Answer: 235*d**3 + d**2 + 12*d - 1670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95*(4 - (-252)\/(-60))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c4a - -1?\nAnswer: 9c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2545*m - 2455 = 7883*m + 4245 + 3976 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 13 = 39 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 336978639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -18257.08428 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1670, -6843, -15464, -27533?\n\"Answer: -1724*a**2 - a + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + 5 + 3 + sqrt(468) + 0))**2.\nAnswer: 72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 4*i + 4. Let z be x(-3). Suppose -3*j + 18 = -0*d - 2*d, 2*d = -j - 2. Let r be j\/(-10) + 84\/35. Solve -r*u = -0*u - z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {j: 9, n: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-240)\/(-36)*(-78)\/(-5). Let z = 175 - d. Calculate the remainder when z is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**4\/4 + 41*s**3\/2 + 143*s**2\/4 + 29*s\/2 = 0.\nAnswer: -1, -2\/3, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + (sqrt(432) - sqrt(432)*-2))**2 - (-5 + sqrt(432) + (sqrt(432) + sqrt(432) + 2 + sqrt(432))**2))*-5.\nAnswer: -780*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(728\/40)*(-20)\/300?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {w: 2, a: 3, x: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 61696, 3, 1, -14 in decreasing order.\nAnswer: 61696, 3, 1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -h + j, -h - 5*j + 0*j = -30. What is the remainder when 1057 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284985 rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b3b7b (base 16) to base 2.\nAnswer: -10110011101101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000265931 to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**5 + 4*v**4 - 32*v**3 - 64*v**2 = 0.\nAnswer: -4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 + 2*o**2 - 5*o**2)*(2160 + 6337 - 2419) to the form k + d*o + u*o**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57632\/29 or 1986?\nAnswer: 57632\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 830 + -516. What is the remainder when z is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 - (3 + -3 - -1). Let x = c + -19. Let a be (x*3)\/(3\/(-136250)). Round a to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 3*i**2 + i + 3. What is the smallest common multiple of c(3) and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 2. Let q be w(5). What is the remainder when q\/(-15) + 99\/5 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 387*i**3 - 2 + 854*i**3 - 420*i**3.\nAnswer: 821*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-6)*4 - 11) + 70.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85611047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 8*y**2 + 11*y + 9. Calculate the remainder when 130 is divided by j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -678.217 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z*z**(3\/2))\/((z*((z**0*z)\/z)\/z)\/(z\/(z*(z*z*z**(5\/3)\/z*z)\/z*z))) assuming z is positive.\nAnswer: z**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = -25*a + 140154. What are the prime factors of a?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.8 - 31. What is the nearest to -1 in u, 3, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76145507.6 rounded to the nearest one hundred thousand?\nAnswer: -76100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - ((sqrt(108) + 2*sqrt(108) - sqrt(108)) + sqrt(3))**2)*6.\nAnswer: -3042 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(102\/4) - 90\/(-102). Which is smaller: 8\/37 or f?\nAnswer: 8\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 264 = j. Let o be 1176\/j - (-4)\/22. Suppose -5*s + 57 = 2*g, 3*s + 9*g = 10*g + 21. Calculate the greatest common factor of o and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/7320 and -13\/220?\nAnswer: 80520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 33. Calculate x(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 446.69.\nAnswer: -893.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(((r*r**(17\/3))\/r)\/r)*r\/r**(-26) assuming r is positive.\nAnswer: r**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/120 + b**5\/60 + 7*b**4\/4 - 153*b**2 + 2. Solve u(r) = 0 for r.\nAnswer: -6, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009469013 to 7 dps.\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2) - (-96)\/16. What is the greatest common factor of f and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 3*j - 3*j)*(4*j - 2*j - 4*j) + 2 + 0 - 29*j - 3324*j**2 + 3320*j**2 as h*j**2 + w*j + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -4. Suppose 0 = 2*h - k - y + 1, -2*h + 2*k = -2. Calculate the smallest common multiple of h and 2\/4 + 124\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4578*n**3*t - 2617*n**3 wrt t.\nAnswer: -4578*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/((-10)\/(-45)). Let h(l) = -l**2 + 2*l + 7. Let t be h(3). What is the tens digit of 38 + s + (4 - t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (10 + -4) - (3 + -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 277 = 963. Let b = d + 191. Calculate the highest common divisor of 270 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*w + 20868 = 20007 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -11. Suppose -a = 4*c - 29, 3*a - i*c = 4*a - 24. What is the derivative of -6 + 4 - a - 3*v**4 + v**4 wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40669, -1\/2, 2, -3\/4, 6 in decreasing order.\nAnswer: 40669, 6, 2, -1\/2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**3 - 3*p**2 - 2*p - 2. What is y(-2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/38885346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -35621.853 rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 36\/149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (13 + 0)*-5*40\/(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8072 > 8072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139224, -139401, -139578, -139755?\nAnswer: -139932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206 and 480186.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 11 + 9. Let o = 12201 + -12306. Let z be 3\/(-4) - (c - o\/(-12)). Solve 2 = z*y - 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 1699 = -5*o - b + 1689, -3*b = 2*o - 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 - 55*n + 25 + 398*n**5 - 6602*n**5 - 1227*n**5 wrt n?\nAnswer: -148620*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -12*z + 6. Let c(m) = -m + 1. Suppose 209*o = 52*o + 157. Give o*n(w) - 15*c(w).\nAnswer: 3*w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*f**6 + 10*f**5 - 2354*f**4 - 165878*f**2 + 80*f - 2?\nAnswer: 7560*f**3 + 600*f**2 - 56496*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18947.5 minus 3.2988?\nAnswer: -18950.7988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/18)\/((-3)\/(18\/20)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 20*y**2 + 794*y + 25364. Let d(c) = -7*c**2 - 265*c - 8455. Let o(p) = 14*d(p) + 5*g(p). Factor o(l).\nAnswer: 2*(l + 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2307625*r**2 + 2307625*r**2 + 516*r + 3*r**3.\nAnswer: 3*r**3 + 516*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k = y - 97, -3*y + 42*k + 1 = 40*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.183406 centuries to decades.\nAnswer: 81.83406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*r**5 + 12*r + 2 + 62*r**5 + 4*r)*(2 - 1 + 0).\nAnswer: 4*r**5 + 16*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**5 - 400*l**4 - 8385*l**3 - 15210*l**2 = 0 for l.\nAnswer: -39, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156.175 - -156. Let q = -0.175 - t. Put q, 13, 2 in descending order.\nAnswer: 13, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 70.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6906\/8*52\/39 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37739, -37833, -37883, -37865, -37755, -37529, -37163?\nAnswer: -36633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 3\/4, 1\/2, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, -36, -80, -124, -168?\n\"Answer: -44*t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, k: 5, j: 5, c: 5, a: 2, g: 1}. Give prob of picking 1 c, 1 m, and 1 g.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 - 10 - (-5 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4265.89 and 0.04.\nAnswer: 170.6356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 - -159. Let v(w) = -w**2 + 5*w + 1. Let h be v(5). Let i be ((-8)\/(-6))\/(h\/(-3)). Which is the second biggest value? (a) z (b) i (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 69, -20\/17, 2, -45?\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2275, -1728, -1187, -652?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 31 + 9*j**2 - 255 - 228.\nAnswer: 9*j**2 - 7*j - 452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*z + 1047 + 2233 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1118 + 1122. What is the closest to -1 in -64, -0.8, k?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 + 10*w**2 + 15*w + 1. Give i(-4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.7 in 6, 16, 1\/3, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 166.9293 centuries?\nAnswer: 1669.293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43127 or -5267?\nAnswer: -43127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 288*r - 24*r - 158*r to the form a*r + n and give a.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 6:06 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5926974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7793, -7804, -7839, -7910, -8029?\n\"Answer: -2*z**3 + 3*z - 7794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -335*h + 7720?\nAnswer: -335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 10:51 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 97 + 33. Let c = -30 + m. Solve -4*z + c = 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 = -8*w + 56*w. Calculate the remainder when 79 - (-4 + 2 + 0) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 - 74 = 35*n + 33*n. Let y(l) = -13*l - 2. Let j(b) = -12*b - 3. Determine n*j(p) + 5*y(p).\nAnswer: -17*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824*i + 818*i - 2300*i + 669*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195\/78)\/((-10)\/(-4))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 less than -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.9516 and -0.1.\nAnswer: -2.19516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -1580.\nAnswer: 9\/1580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 167166999 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 17 + 13 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1284*g**2\/5 - 43913*g + 171\/5.\nAnswer: (g - 171)*(1284*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 15 - 109 = 0. Suppose 6*h - 169 = b. Suppose 4*f - f = -k + 110, k - h = -f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 7*q + 11. Let w be r(-5). Suppose 0*j = u - 5*j - 15, 3*u = 4*j + w. Put 0, 1, u in increasing order.\nAnswer: u, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005991516 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 712 by -178.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29306 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 32*z + 205. Let c be m(11). Put 11, 6, c in increasing order.\nAnswer: c, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5030 - -5029.944. What is the closest to -2\/3 in o, -1, -0.04, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 2*t - 17. Let r(p) = 3*p**2 - 2*p + 18. Let g(l) = 4*f(l) + 3*r(l). Let k be g(0). Let d = 17 + k. Solve d*i - 10 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-5)\/(-40)*4\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 - 5*u - 2. Let j be g(-6). Let b be j\/32 + (-2 - 0). Let d = 11\/8 + b. Find the common denominator of d and -61\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 34 + 5 = 0. Let v = -214 + 186.8. Let j = -32.2 - v. What is the second smallest value in j, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/31 - -51\/124. What is the second smallest value in m, 0, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.709138 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 12 = -t + 4*t, 5*x - 15 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671*b + 2 + 673*b - 5 - 1 + 1.\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7079 to 2 dps.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19401601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25729*z**3 - 68*z**5 - 2 + 25729*z**3 + (2*z**4 + 1 - 1)*(-2 + 2 + z) + 0 + 0 + 2*z**5 + z**5 - z**5 + z**5.\nAnswer: -63*z**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 0.12?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c. Let x = -10 - -20. What is the remainder when x is divided by c\/(-1 - -3) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2251*y - 17968. What is m(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**6\/90 + n**5\/30 + 11*n**4\/36 - 2*n**3\/3 - 6*n**2 - 11*n. Factor r(s).\nAnswer: -(s - 3)**2*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b85260 (base 12) in base 2?\nAnswer: 10110011111111100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 772514927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3677?\nAnswer: 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1738.\nAnswer: 521.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1927349936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 288 - 338. Let v = t - -365. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w. Let a(c) = 1028676*c. What is j(a(k))?\nAnswer: -3086028*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k + 2*k)*(-1 + 4 - 9) - 12*k - 8*k - 6*k + 19*k - 5.\nAnswer: -13*k - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 395979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 2*r + 1. Let m(h) = 105*h**2 + 56*h - 28. Give -3*m(t) - 84*n(t).\nAnswer: -231*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11)\/h*(h\/(h\/h**(-5\/9)))\/h)\/(h**11\/h*h*h)**(-31) assuming h is positive.\nAnswer: h**(3226\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (1\/3 - 1106\/6). Calculate the common denominator of (-10)\/h*(-93)\/5 and 37\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.7226 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 - 207. Calculate the common denominator of 2\/k + 180\/(-546) and -73\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1579 - -14264\/9. Calculate the common denominator of r and -6\/43.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**5\/300 - h**4\/30 - h**2 + 9*h. Factor a(b).\nAnswer: -b*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = 7*c. Let j be 2\/c + (22497 - -1). Suppose 0 = -0*l - 5*l + j. Round l to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9957 equal to 9976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + c**2 + 4*c - 3. Calculate a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 8}. Give prob of sequence ssss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1502919252 to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:58 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 4*o**2 - 8*o + 4. Suppose 7*z - 10*z + 15 = 0. What is y(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 13*n - 5. Calculate the smallest common multiple of 524 and u(5).\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -265113.1 to the nearest one hundred.\nAnswer: -265100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713 divided by -59?\nAnswer: -3713\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -141 and 8.04114?\nAnswer: -1133.80074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2258*v - 58818. What is u(-26)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-285)\/(-135)) + (-16 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 + 79 + ((-2)\/(-2) - 2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1070\/14552)\/((-30)\/12)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d + 9. Let m(n) = 3*n + 4. Let c = 14665 - 14656. Suppose -3*r + 5 + 0 = -2*l, 21 = -4*l - 5*r. Calculate c*m(z) + l*p(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + y = 3*y + 20, -28 = 2*u + 4*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j. Let k(r) = -r**2 - r + 5. Calculate the smallest common multiple of (-24)\/(-2) + -6 + 3 and k(j).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, s: 1, g: 1, p: 1}. What is prob of sequence ngn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - ((-11)\/(-2) + 5\/(-10)). Let p be (-3)\/(-2)*(m + 17\/6). What is the fourth smallest value in p, 4, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 15 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-2*r - 4*r - r).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/6*((-27)\/10)\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 67 = -22. Let s = u - 6. Suppose 0 = -q - 5*g + 4, 2*q + 2*g + s = 27. What is the remainder when 54 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + 46. Let o = a - 92. Which is smaller: -3 or o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((24\/(-66))\/4 - 0)*(2 + 0). Which is the closest to 0? (a) -1\/9 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + 0.2. Let w = 8 + -1. Let u = -9 + w. Is t > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -58. Suppose -j*c = h + 6, -2*c - 21 = -3*h + 2*c. Let w = -34 + 49. Solve -15 = h*p + m, 3*p + 3*m + w = -m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3)*54\/(-9). Find the third derivative of -7*b**6 + 0*b**2 + 3*b**6 - b**s wrt b.\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/54*(-8)\/28.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 + 0.12?\nAnswer: -1019.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13933 + -13931. Let k(b) = b**2 + b + 1. Let t(f) = 7*f**2 + 4. What is a*k(d) - t(d)?\nAnswer: -5*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -416131051*c - 640147272 wrt c?\nAnswer: -416131051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 + -2031441?\nAnswer: -2032123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/13 - (-1351)\/(-91). Let b = 27 + i. What is the lowest common multiple of b and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77 - 77 + 16*u**4 + (2*u**3 + 3*u - 3*u)*(-3*u + 3*u + 5*u) as i*u + q*u**4 + w*u**2 + f*u**3 + l and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899102151 is divided by 6284.\nAnswer: 6283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935*u - 429*u + 50*u.\nAnswer: -1314*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 divided by 206?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15133901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(28)*-6)\/(sqrt(324)*4))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4, -2*h + 3*r - 6 = r. Let g be 85\/(-15) - (-10)\/h*-2. What is the nearest to g in 0.9, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-1)*5\/(-15). Suppose q = o + f + 6, f = -0 - 4. What are the prime factors of (1 - -1)\/o - -11?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -49. Solve u + 2 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)*l\/(l\/(l\/((l**(-3)\/l)\/l))))**(-2\/41)*(((l**(-10)*l)\/l)\/(l\/(l**(-12\/5)\/l)))**9 assuming l is positive.\nAnswer: l**(-79864\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(7\/2)\/h*(h\/(h*h\/h**(4\/3)))\/h assuming h is positive.\nAnswer: h**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + f - 2*f - 17 = 0, -4*o - 48 = 4*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 16*g**5\/5 + 8*g**2 + 17. Find the second derivative of l(p) wrt p.\nAnswer: 192*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90294 is divided by 30091.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3e7d2 (base 15) in base 14?\nAnswer: -11c94d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - v = 11, 5*x + 5*v = 30 - 10. Suppose 0*y + x*y - 36 = 0. Suppose 21 + 29 = 5*j. Calculate the least common multiple of y and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x - 72. Suppose 3*s - s = x. Let c = s - 7. What is the greatest common factor of c and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4 = 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/21 + 11770\/(-6). Let i be (c\/54)\/((-2)\/(-15)) - 0. Let h = i - -279. What is the common denominator of h and 49\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 2, -3 in ascending order.\nAnswer: -37, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 4947.\nAnswer: 4947.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 2*c - 4*c)*(-29*c + 54*c - 24*c)*(1 - 14 - 4)*(3*c**2 + 4*c + 6*c - 9*c)*(0 - 4 + 3) as j*c + w*c**2 + k*c**3 + g*c**4 + q and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 61*y + 62*y + 48314 = 0, -y = 3*x - 144930. What is the ten thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + z + 36 - 80 + 36 as h*z + t and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7034739393 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -212385, -424783, -637197, -849627?\n\"Answer: -8*l**2 - 212374*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148046508*z**3 + 43*z**2 - 688621*z?\nAnswer: 888279048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**2 - 20*y - 4. Let t(b) = -24*b. Determine t(f(c)).\nAnswer: -192*c**2 + 480*c + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*k + 40 = 0, 20 = -4*k + 4. Let r = 30 + t. Let h(g) = -9*g - 7. Let y(q) = 4*q + 3. Calculate r*h(u) + 5*y(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.091665 kilograms to grams.\nAnswer: 2091.665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 3, -2, 2 in decreasing order.\nAnswer: 3, 2, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5351594 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: (446\/(-66) + 154\/1694)\/((-2)\/3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 29.76?\nAnswer: 30.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 160328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(-5*s**2 - 2*s**2 + 5*s**2) - 1130 + 1130 + 7*s**2 + 2*s.\nAnswer: 11*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m - 19. Let o(h) = -h - 2. Determine 2*o(k) + w(k).\nAnswer: 4*k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -862 = -5*y - 2*q, -4*y = 4*q - 1032 + 352. Let h be 8\/(-10) - y\/(-30). Calculate the greatest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 316 = -8*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 6*j + 4. Let v be h(6). Suppose -b = -v*b. Let r be 2 - (b - (8 - 0)). Solve d = 6*d - r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86767?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25*u**3 + 2*u**2 - 6*u - 1. What is the hundreds digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 289648000 to the nearest 1000000.\nAnswer: 290000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23097047*l + 23097207*l + 9600 = 0 for l.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjljljjjl. What is prob of sequence ll?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*w + 37, 0*h - 2*h + 12 = 4*w. Suppose -w*c - 3 = -63. Let j be c\/(-30)*-2*5. Solve 0 = -2*y + 2*a - 11 - 5, -y - 3*a = -j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/15 + ((-1914)\/(-145) - 15).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (162\/4)\/((-2)\/(-4)). What are the prime factors of (2\/(-3))\/((-6)\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13*2\/(-60)*-10)\/(3\/(-9)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(8) + -1 + sqrt(2) + 0)**2 - (sqrt(216)\/(sqrt(9)*-2))\/(4*sqrt(36)\/sqrt(3)).\nAnswer: -47*sqrt(2)\/8 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**3 + 4*q**2 - 3*q - 1. Let p be o(2). Let b(s) = -10*s - 277. Let h be b(p). What is the greatest common divisor of h and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26626417 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/((2\/21)\/(118\/59))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1\/19)))\/(b*b\/((b**12*b)\/b))*(b\/b**(3\/7))\/b**1)**(-41) assuming b is positive.\nAnswer: b**(-51906\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/5 - (-5 + 9). Do l and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 0*k + 2 - 76*k**2 + 69*k**2. Let z(m) = -34*m**2 + 10*m + 10. What is -14*s(g) + 3*z(g)?\nAnswer: -4*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = r - 24, 78*r - 74*r - 16 = 0. Solve -4*z - 9*m + 5 = -6*m, -2*z - 3*m = l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 10*q - 9. What is f(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3840)*3 - (sqrt(60) + 2*(sqrt(360)\/sqrt(6) - sqrt(60))))\/(-4*sqrt(1728)*4).\nAnswer: -23*sqrt(5)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 46246208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -15*o. Suppose -5*a - 4*i = -10 - 4, 0 = -5*a - 2*i + 12. Let k(h) = 261 + a*h - 261 - 11*h. Determine p(k(b)).\nAnswer: 135*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 62091.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o + 9. Determine n(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/6)\/(4\/6) - -3. Suppose 150 = l*s + 5*s. Solve f - s = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -26*d + 51. Let z(s) be the third derivative of -3\/20*s**5 - 5\/6*s**d + 0 + 0*s + 0*s**4 - 9*s**2. What is the first derivative of z(o) wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 3. Let c = 12 + -10. What is q(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.405599 + -0.4037. What is t rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13333.5 and 206.\nAnswer: 13539.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/8 + 2*(-65)\/(-120). Solve -2\/3*j**3 - 2\/3 + g*j + 4\/3*j**2 + 1\/3*j**5 - 2\/3*j**4 = 0 for j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8695, -17389, -26083, -34777, -43471?\nAnswer: -52165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-54)\/15*-2)\/((-6)\/(-140)). What is the common denominator of 18\/(-24) - 1242\/t and 37\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99)*-2 + sqrt(99))*-2 - -3*1*sqrt(99))\/(4*(sqrt(576) - (sqrt(576)*-1 + sqrt(576)))))**2.\nAnswer: 275\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(2)*-3)**2 - (0 + -3*sqrt(32)).\nAnswer: 12*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 15) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 8:59 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8950\/7 - 1278. Which is the nearest to 1\/2? (a) l (b) 4 (c) 1\/4 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1302 = 474. Suppose -2*p - u = -49, 95 = -p + 5*p + u. Calculate the highest common divisor of p and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h. Let u(z) = -9*z + 12. Give c(u(n)).\nAnswer: 54*n - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 v when four letters picked without replacement from {l: 7, v: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 8 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttq when three letters picked without replacement from xxxxqtxtq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -57. Suppose p = -7*i + 2*i - 16, 0 = 3*p - 3*i - k. Solve 0 = -2*f + p*t + 6 + 4, 0 = t + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 977071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let q = 0.079 - 2.019. Let b = q - 0.06. What is the closest to f in -1\/2, b, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/520 and -167\/2700.\nAnswer: 70200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 + 40724*o**2\/5.\nAnswer: -2*o**2*(o - 20362)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c = 10. Suppose d = 5*u - 22, c*d + d + 2 = -u. What is the derivative of 3*a**2 + 1 + 3*a**2 - u*a**2 wrt a?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 2*d - 2*d**2 + 0 + 7\/6*d**3. Let z(g) = -4*g + 2. Give 3*j(y) + 5*z(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.04 (b) 13 (c) 1 (d) -7 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -190 - -191. Is v > -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (669*o**2 - 669*o**2 - 774*o**4)*(o - 2*o + 2*o) + (5*o**2 - 3*o**2 - o**2)*(2*o**3 - 5*o**3 + o**3 + (1 - 1 + o**2)*(0 + o + 0)).\nAnswer: -775*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205*(-24)\/18*(-6)\/20 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2822 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 43*z - 5858.\nAnswer: (z - 101)*(z + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - 4*h + 0*h + 6*h - 3 to the form j*h**3 + w + m*h**2 + x*h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - j - 2 - 6*j + 2*j**3 + 7*j**2. Let u be n(-5). Suppose -o + 4*z = -4 - 3, -4*z = -5*o + u. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 4. Let j be h\/(-12) + 2\/3. Is 2\/37 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-1 - (0 - -1)). Let s(q) = f*q + 4 - 1 - q**2 + 0. Determine s(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 5. Let i = -0.8 + t. Sort i, -2, 0 in decreasing order.\nAnswer: i, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 153*i**4*p - 7641*i**3*p - 5098837*p wrt i?\nAnswer: 612*i**3*p - 22923*i**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6481 by -6.\nAnswer: -6481\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/5)\/(4\/(-10)). Let m = n + -14. Which is bigger: m or -3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 652.4 to the nearest ten.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(190)*-2 - -2*sqrt(190)*6)*3)\/(-2*(sqrt(90) + -4*-3*sqrt(90))))**2.\nAnswer: 475\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-66506)\/(-77) - 6\/(-21). Which is smaller: 866 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*c - 323 = -3*d, -5*c + 121 = d. Calculate the remainder when d is divided by (-1)\/(-4) + (-222)\/(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 200410b + -4?\nAnswer: 2004107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3 + 8*u**2 + 3*u**2 + 2*u**2. Let t(p) be the first derivative of 2*p**3\/3 - 13312. Determine t(f(n)).\nAnswer: 338*n**4 - 156*n**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmh when three letters picked without replacement from {t: 7, m: 2, h: 3}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7046 - -2?\nAnswer: -7044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 22 - 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1277, 3731, 6185, 8639, 11093, 13547?\nAnswer: 16001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47)\/94)\/(-1 + (-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*t = -2*x - 10, 0 = -2*x + 2*t + 12. Solve x*w = 3 + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0754372 rounded to 4 decimal places?\nAnswer: 0.0754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -99437253 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19133 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8728191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + d = 20, 0 = 2891*p - 2893*p - 2*d - 16 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -12. Suppose -b = -k + 15. Let u be (-8)\/14 + k\/28. Solve -4*p + 3*s + 1 - 18 = u, 4*p - 4 = -4*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 10. Suppose 4*h - 3*a - 18 = 0, -3*h + 2*a + a + 12 = 0. Let t be s(h). Suppose -5*k - 2*g + 13537 = 2438, -t*g = 4*k - 8884. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2\/21, -2\/9 in descending order.\nAnswer: 0.4, 2\/21, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) 1\/3 (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48.64 + -47.5005. What is p rounded to 2 dps?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**3 + 5 + 2*l + 3\/2*l**2. Determine w(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 33 = 463. Calculate the greatest common divisor of 527 and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20253802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -633065 (base 7) in base 10?\nAnswer: -109121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**9\/126 + j**5\/12 + 7*j**2. What is the third derivative of y(s) wrt s?\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1017, 1106, 4645, 9600?\nAnswer: 15971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 - 9*w**2 + 5*w**2 + 0*w**2 - 2*w**2. Let n(y) = 2*y + 0*y**2 - 1 + 0*y**2 - 3*y**2. Let m(o) = -n(o) + 2*t(o). Factor m(r).\nAnswer: (r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 8. Determine t(-4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p = 68. What is the greatest common factor of p and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -13*y**4\/4 - y**2 + 21. What is the second derivative of u(g) wrt g?\nAnswer: -78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.043 (b) 10 (c) -4 (d) 4 (e) -2 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(58\/(-116))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51.1 + 51. Put v, -0.06, 5, 2\/7 in decreasing order.\nAnswer: 5, 2\/7, -0.06, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from {y: 2, a: 2, r: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 145*l - 126*l.\nAnswer: 19*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7790\/94061 - 14\/187. Let n = j + -18136\/3521. Calculate the common denominator of n and 54\/19.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3\/3 + 142*k**2\/3 + 1087*k - 1134 = 0.\nAnswer: -21, 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 131974?\nAnswer: 131972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxxyxxyxyyyyy. Give prob of picking 2 y and 2 x.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12353.7 litres in millilitres?\nAnswer: 12353700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 762.74 - 769. Let a = -0.033 - -0.273. Let x = i - a. Round x to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6783 (base 11) to base 6.\nAnswer: 105152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24357 is divided by 109.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/520 and 127\/58656?\nAnswer: 293280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c + 1\/3*c**3 + 3\/2*c**2 + 0. What is the derivative of p(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c + 217. Let o(t) = -1 + 1 + t**2 - 5. What is the remainder when p(28) is divided by o(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-2*sqrt(76))\/sqrt(4) + sqrt(19))**2*-5 - (sqrt(209) - (sqrt(209) - 4*sqrt(209)*5))\/sqrt(11))*-6.\nAnswer: 600*sqrt(19) + 2850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002554 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 5*y**2 - 5*y - 3. Let f be 1 - 3 - -4 - 6. Let n be z(f). Suppose 2*b = 3*r - 12, 0*r + 25 = -5*b + 5*r. Put n, b, -5 in descending order.\nAnswer: n, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053579656 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 7*m**2 - 39*m + 416. Is i(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**4\/4 + b**3\/3 - b**2\/2 - b - 102. Let r(d) = 7*d**3 + 3*d + 3. Determine 3*f(t) + r(t).\nAnswer: 4*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13986, -55948, -125882, -223788?\n\"Answer: -13986*v**2 - 4*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 4. Let s = 7 + -5. Suppose -2*d + 5 = -o, -4*o = 3*d - s*o + 10. What is y(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 4*n**2 + n - 5. Let j be m(-3). Is 20\/16*((-564)\/j)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 965, -5 in descending order.\nAnswer: 965, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - 2 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 5 = p. Let s = -13748 - -41243\/3. Put s, 0.3, -1\/2, p in decreasing order.\nAnswer: 0.3, s, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1. Let r(o) = -2*o + 5. Suppose b = -5*w - 16, 0*b + 2*w = -5*b - 34. Suppose 2 = j + 3. Let n = 0 + j. Determine b*p(y) + n*r(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 8*b + 270. Let m be 82 + ((-2)\/(-2))\/((-3)\/(-6)). Suppose 3*t - b = 3*d, 4*t = -d - d + m. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -669 smaller than -2679\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5005624647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.841 times 4870\nAnswer: -4095.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 26808*q - 321603. Calculate c(12).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -174062757?\nAnswer: -174062760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 4. Let r be o(8). Suppose -3*x + 654 = 2*i + i, -r*x = -4*i + 912. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*z - 45*z - 1 + 92*z + 8 in the form o + v*z and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23420, 92972, 208902, 371216, 579920, 835020, 1136522, 1484432?\nAnswer: 1878756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**5\/20 + 7*b**4\/12 - b**3\/3 - 4*b**2 - 6*b. Let w be a(-7). Solve 5*o - w*o - c = -3, 0 = 4*o - 2*c - 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + (-10)\/3. Let u = -4 + 6. Put 0.4, s, u in descending order.\nAnswer: u, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2166 and 2166.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 130*t + 345.\nAnswer: 5*(t - 23)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9))**(-1\/13)\/(s**(-12)*s)**(7\/5) assuming s is positive.\nAnswer: s**(8999\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -190\/14711387?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 270 - 192. Let a(p) = -2*p**2 - 19*p - 4. Let k be a(-9). Suppose c = -3*w + k*w. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/3*((-10)\/(60\/21))\/((-3)\/(-6))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*b - 15 = 5*v, b = -3*v - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*l = -466, -32*t + 184 = -30*t - 2*l. Calculate the highest common factor of 15 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47025 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 64, -0.4, 5\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*a + 5559 = 49*a + 92*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 2*k + 2. Let j = -7 - -3. Let l = j + 2. Let p be a(l). Solve -4*o - p*r = -4, 3*o - 2*r + 2 = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/((-2408)\/(-104))*-2.\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 4*u**2 - 5*u + 3. Let c be g(3). Let w(f) = -6*f - 9. Let i be w(-8). Let k be 14\/6 + 26\/i. Sort k, c, -21 in ascending order.\nAnswer: -21, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 27*n**2 + 51*n - 29. What is g(25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 19*u**2 + 118*u + 50. Let q be m(24). Let y = 0.86 - -0.14. Which is the biggest value? (a) 5 (b) y (c) 1\/5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -223, -937, -2173, -3967, -6355?\n\"Answer: -6*d**3 - 225*d**2 + 3*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 - -148. Suppose -7*m = 4*k - 2*m - g, m = 5. Suppose -k*j + 180 = -180. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 j, and 2 d when four letters picked without replacement from {w: 3, h: 2, j: 1, d: 1, r: 1, b: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12422 rounded to 3 decimal places?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1088 and 23\/2747506?\nAnswer: 87920192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-35)\/(-5))\/(3\/48). What is the common denominator of -101\/16 and (340\/f - 3)*-110?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/8 and 91\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149*926.\nAnswer: -137974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 1152*f**5 + 4340*f + 5422. Find the first derivative of j(q) wrt q.\nAnswer: 23040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(3\/2)*b**(4\/7))\/(b\/(b*(b*b**(2\/5))\/b)*b**(-2\/5)*b))**(2\/131))**(2\/11) assuming b is positive.\nAnswer: b**(-18\/50435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*k - 1645*k**2 - 877 + 54*k + 1648*k**2 with respect to k.\nAnswer: 6*k + 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15754811 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: Determine j so that -j**2\/3 - 97030*j\/3 - 10251472 = 0.\nAnswer: -96712, -318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a millisecond?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3396 = -81*g, 2*j + 5*g + 248 = j + 35 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 381.\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262469 + 6891 = -3086*a - 281*a for a.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*n + 66 = 0, 0*n + 5*n = 4*m - 119. Suppose 7*k - 5*k = m. Let z = k + -12. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253908.\nAnswer: 2, 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23109*a**3*i**2 + 19*a**3*i - 2279*a**3 - 381*a**2*i**2 - a**2*i + a**2 - a*i**2 wrt i?\nAnswer: -46218*a**3 - 762*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) + 6\/15. Suppose -4*c - 5*m + 161 = 0, u*m = -4*c - m + 173. Calculate the greatest common factor of c and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x - 2. What is the tens digit of j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30321 + 0?\nAnswer: -30321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 269*p + 2 - 248*p)*(-3*p - p + 0*p) to j*p + z + y*p**2 and give y.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 36. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1 - 3) + (1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -102. Suppose -2*j + q = x, -2*x + 62 = j - 4. Suppose -5*i + 2*i = x. Is i at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + (-105)\/14)*(-3 + 1). Solve -7*c = -q - 2*c + 4, j*c - 16 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 214 or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/5 + 718*g**2\/5 + 2252*g\/5 - 5792 = 0?\nAnswer: -8, 5, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-10)*215\/258*4*-2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (0 - 11) - ((-16 - -7) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -39. Let p be ((-10)\/x)\/(18\/(-20)). Is -1 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -194000000 to the nearest one million.\nAnswer: -194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302788.2 decades to centuries.\nAnswer: 30278.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 17*q + 6. Let p be r(-4). Let g = -29 - p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 3*j**2 + 0*j**3 + 3*j**3 - 2*j**2 + 7 - j**3. Is i(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -332*w**4 + 616*w**3 - 616*w**3 + (0*w + 0*w - 3*w**4)*(2 - 1 - 2).\nAnswer: -329*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 5. Let i be 4\/16 + (-46)\/(-8). What is o(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12893 + 25789 - 12896 - 3*n + 83*n + 7*n**2.\nAnswer: 7*n**2 + 80*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/26*(309\/1854)\/((-10)\/(-12))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 - 92. Solve -s = 3*f + 1, 3*f - 2 = -p*s - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 46*y**2 + 45*y + 4. Let u be x(45). Let v = -4 + 4. Suppose v = w - 0*w - 1. Put w, -2, u in ascending order.\nAnswer: -2, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -40 - (0 - 3) - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1450750 and 16625.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 - (-2106)\/21. Suppose 4*g - v - 20 = 0. What is the greatest common divisor of g and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.962 + 14. Let y = n + -0.03800135. What is y rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-268)\/(-144) + 3. Let g = -2\/9 - p. Let l = -2171 - -2175. Which is the fourth biggest value? (a) l (b) g (c) -5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12019 and 3132?\nAnswer: -37643508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6666953*d**3 - 2571*d**2 - 10*d + 50.\nAnswer: 40001718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*j = 1479, 2*j + 0*j - 478 = q. Calculate the common denominator of q\/90 + (-4)\/(-18) and (((-205)\/(-2))\/5)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1228 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 5) in base 16?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*u + 72*u + 6*u)*(7*u - 7*u - 8*u) + 0 + 2*u**2 + 0 + (-2*u + 3 - 3)*(2*u - 6*u + 3*u).\nAnswer: -452*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 9:51 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 873474 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqgqi. Give prob of sequence gi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -5*c**3\/6 - 6*c. Suppose 16*o = 12*o + 8. Let i be -1*((-4)\/(-1))\/o. Give g(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 5*c - 1. Let k be q(-5). Suppose 0 = -10*m + 5*m + 60. Let i be k\/(-4) - (-9)\/m. Do i and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -2cb487?\nAnswer: -2cb487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 694*i - 2752. Give j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 b when three letters picked without replacement from wkbswwwbbkkbwkkbk?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-5 + 2 + 4 + (-28 + 60 - 34)*(-5 + 4 + 2))*(-1 + 1 + v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1130062\/8377479 - -6\/28207. Find the common denominator of 19\/540 and m.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67562.46*0.4\nAnswer: -27024.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 - (-8 + 22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22344 - 1?\nAnswer: -22400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -1 + (-8)\/(-3). Let o(l) = 29*l - 10. Let g be o(2). Let i be g\/(-264) + 19\/44. Which is the third biggest value? (a) i (b) j (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 12*b**2. Let o be (-2 - 0)*(-267)\/6. Let m(y) = o*y - 30*y - 27*y - 25*y. Determine t(m(u)).\nAnswer: 588*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 28 = -i, 41*i - 39*i + 2*h - 16 = 0. Solve -i*c = -3*r - 19, -3*c + 15 = -3*r - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**2\/2 + 19. Let o(h) = -5*h. Determine o(f(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -15838050*o. Let g(p) = 2*p**2. What is g(z(u))?\nAnswer: 501687655605000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 6*v + 0*v)*(-9 + 5*v + 9) - 3*v**2 + 0*v**2 - 3*v**2 + (-2*v - 1 + 1)*(-5*v + 4*v + 3*v).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) + 4442\/14. Let d = 545 - o. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 6. Let s be n(5). Suppose -s*t - 5*x = -t - 24, -t + 12 = 3*x. Suppose -2 = t*a - 4*a. Solve 0 = -3*o + r - 12, -r + 3*r = -a*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**7\/2520 + 11*f**5\/120 - f**4\/2 - 11*f. Let k(g) be the third derivative of s(g). Differentiate k(t) with respect to t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*o - 5*q, 0 = -2*o + 7*o - 4*q - 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0127 and -0.5?\nAnswer: -0.00635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 21*i - 6. Does 33 divide s(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 226.\nAnswer: -226.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -968 - -11a?\nAnswer: -849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 21*n + 5. Let g be k(3). Let s be 1343\/g + 2\/8*1. Let f = 48 + 2. Calculate the highest common factor of s and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64\/(-1)*(80 - 79). Let r = 295 - 165. Let b = r + j. What is the greatest common factor of 33 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11672 and 24455758?\nAnswer: 97823032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/111 + 700\/2100?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/(-3) - 6. Let z(g) = -3 + 5 - 3 - 36*g + 5. Is 23 a factor of z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 12*d**2 + 12*d + 14. Let v be g(-10). Is v\/(-7) - (-18)\/63 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148111211*l**4 + l**2 + 13*l + 1098264 wrt l?\nAnswer: -3554669064*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/697 and -105\/34?\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -74 + bb?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 18*y + 81. Let f(z) = -53*z - 243. Let p(l) = 6*f(l) + 17*h(l). Is 15 a factor of p(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -220.2.\nAnswer: 660.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 10. Let r be k(14). Let l(w) = -w**2 - 16*w - 9. Calculate the remainder when (r - -105 - 4) + -4 is divided by l(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.162 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178010 and 4450250.\nAnswer: 4450250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.056 + 0.086. Which is smaller: -1\/2 or d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3302276? (a) -2 (b) -0.1 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -335*u**4 - 101*u wrt u?\nAnswer: -4020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(100) - -1*sqrt(100)) + sqrt(100))\/sqrt(10) - sqrt(10) - (2*sqrt(40) + sqrt(40))\/sqrt(4))\/((sqrt(18) + (2*sqrt(72))\/sqrt(4))*-2))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -32. Suppose n*a - 1218 = a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2*l - 3*l + (5*l - 12*l - l)*(-1 - 11 - 3))*(-2*l + 3*l - 3*l)*(l**3 - 2*l**3 - 4*l**3).\nAnswer: 1210*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 40 = -5*r + x, 0 = 2*r - 2*x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 - 13506*m - 121435. Determine p(-9).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 4704.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44123976 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -11. Which is the nearest to 0? (a) y (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-10 - -8) + -2 + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.29? (a) -1\/12 (b) 0.671 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 1. Let y(k) = -k. Suppose 0 = 23*m - 18*m + l + 11, 2*l + 6 = -2*m. What is m*t(r) + 9*y(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*f = -6*q - 10, -4*q = -4*f + 40. Let d be 12\/(-30) - 122\/q. What are the prime factors of d + 0*(-2)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 37*a + 18. Does 41 divide t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n - 6*n**2 - n**3 + 3*n**2 - 2*n + 3 - n. Is r(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9075 divided by 121.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330206.6 micrograms to milligrams.\nAnswer: 330.2066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**3 + 10*b**2 - 5*b - 1. Let n(k) = 3*k**3 - 9*k**2 + 5*k + 1. Let r(g) = -4*d(g) - 5*n(g). Give r(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 17*i - 5. Let o be t(-17). Let b be (-45)\/50 - (-3)\/o. What is the smallest value in 0.06, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**6\/120 - 33*x**5\/80 - 3*x**4\/4 + 17*x**3\/6 + 11078*x. Factor j(h).\nAnswer: h*(h - 34)*(h - 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 1)\/(((-108)\/(-390))\/(-9)). Suppose 0 = v + 5*t - 29, 3*v + 0*t + 4*t = p. Solve 4 = 3*j + v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h = -3*v - 9, -5*h = 15. Suppose -2\/3*d**3 + 4\/3*d**4 + 0*d + v*d**2 - 2\/3*d**5 + 0 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 14 = -3*d. Let s(c) = -2*c - 1. Let z be s(d). Let t = z - -28. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n + 17 = 3*q - 26*n, 2*q - 25 = 3*n for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaayaaayaa. What is prob of picking 2 a?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 663 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = -0*y. Is (2*177\/(-12) + y)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3, -11, -38\/17, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63156 divided by -4?\nAnswer: -15789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**2\/2 - 7*c + 1. Let o be u(-12). Suppose -q + 3*g = -2*g + 15, 40 = o*q - 2*g. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvkvbbkqq. What is prob of picking 1 v and 1 b?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-8)*(-752)\/10. Suppose 828 = 4*x - r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 58, 0.1, 1 in increasing order.\nAnswer: -2, 0.1, 1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {u: 1, l: 1, q: 17}?\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -39. Let s(y) = -47 + 47 + i*y + 2*y. Calculate s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10001011110011001010?\nAnswer: 10001011110011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-10))\/(3\/(-15)). Suppose -2*i = 4*y - w*y - 40, -85 = -2*y - 5*i. Suppose 0 = -4*j - 2*t + y, 4*j - 4 = 5*t + 19. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 + -543\/4. Let u = -7 + 5. Let p = 0 + -0.1. Which is the nearest to -0.2? (a) u (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*f\/(f*f**(-14)*f)*f**4*f**(-13) assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/30 + ((-7730)\/(-6) - 1). Suppose 20*b - 27*b + i = 0. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*a, 2*s + 4 = -a + 3. Suppose -2*p + 4*b = -s, -4*p + 48 = -b + 4*b. Calculate the least common multiple of 3 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8 + 2 - 3*q + 5*q. What is b(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -631305, -631324, -631343, -631362?\n\"Answer: -19*n - 631286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.955 * -0.7.\nAnswer: -0.6685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**4\/8 + 71*r**3\/6 - 39*r**2 - 7. Give c(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-215)\/(-86)*-4*1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbqqbqbbbqqqqqbqbqbq. Give prob of sequence qq.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 333731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*x + 25792 = 1064*x + 249*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.08047 and -2.02.\nAnswer: 4.2025494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -118498 - -28?\nAnswer: -118470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2. Let q(l) be the third derivative of l**5\/60 + l**3\/2 - 33*l**2. Calculate v(q(x)).\nAnswer: 2*x**4 + 12*x**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12334950.08 and -1.0022?\nAnswer: 12334951.0822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5277 divided by -5277\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 3, -22, -57, -102, -157, -222?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 89 + 5?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 235, 217, 193, 163, 127?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-30)*(-4)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*h + 8 - 8 in the form k*h + f and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/6*(-21)\/924*24*(-22)\/9\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w - 83. Let a(d) = -7*d + 55. Let r(y) = y**3 + 11*y**2 - 7. Let t be r(-11). What is t*a(n) - 5*m(n)?\nAnswer: -n + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 16*w - 14. Let o be k(-17). Suppose -5*z + 2*l - 875 + 3079 = 0, -z = -o*l - 433. List the prime factors of z.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8706679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27, -32, -39, -48, -59?\n\"Answer: -j**2 - 2*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/496 and 57\/36146.\nAnswer: 289168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 290646599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-12))\/(-10) + 395\/(-3). Let p = 194 + k. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -435.99 + 434. Let d = 8 - 7.81. Let t = b + d. Round t to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o - 8 = -44. Suppose 0 = 4*l - 7*l + 2*k - 5, 4 = -4*l + 2*k. What is the highest common factor of l and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, 3, 14 in descending order.\nAnswer: 14, 3, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, o: 2, k: 6, r: 2}. What is prob of picking 1 o and 2 r?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -23. What is the remainder when 43 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 5:21 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123 + 2772?\nAnswer: 3115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - s + 2618 = -4*s, -3*c = -5*s - 1558. Suppose -170 = -v + y, -y - c = -3*v - 6*y. What are the prime factors of v?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gblb when four letters picked without replacement from lblbbbglggbl?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 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 66804 (base 9) in base 8?\nAnswer: 126550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*p - 5 = 0, y - 1 = 162*p - 160*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.95424mm to nanometers.\nAnswer: 51954240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 3*u + 2*u + 6, -2 = 3*v + 2*u. Let w(t) = 9 - t**2 - 8*t + 4*t + 2*t**v. What is the units digit of w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -25?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -149, -698, -1613, -2894?\n\"Answer: -183*f**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 (base 6) in base 7?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/20))**19*h*h\/h**28*h**10\/h)**8 assuming h is positive.\nAnswer: h**(-642\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/12787 and 67\/76.\nAnswer: 51148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/101 + -215\/1313. What is the second biggest value in -4, h, -32, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-429)\/(-416) - 43\/1376?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.567 + -0.257. Which is the nearest to 1? (a) j (b) 0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89674067?\nAnswer: 7, 1830083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 8 - 38. Let d = -8 - z. Let c be ((-9)\/(-6) + -2)*6. Sort -5, c, d.\nAnswer: -5, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) - (-6)\/12. Suppose -9*s + 5*s = f. Solve a - 2*a - 5 = 0, s = g + a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/12 + 42\/24 - -16. What is the units digit of (-2214)\/(-45)*30\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -10. Suppose q*v = 2*v + 8. Suppose -1 = 5*u + 3*c - 11, -2*c = 10. Solve -u*i + 5*f = v*f - 2, 0 = -4*i - f + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11545003406 + 4?\nAnswer: -11545003402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 5. Suppose 2*c + 2*t - 1 + 5 = 0, -25 = k*t. Suppose -5*o = 2*s - 54, 0*o = c*o + 4*s - 24. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -309978 divided by -6?\nAnswer: 51663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 17003286*z + 216833801098347.\nAnswer: (z + 25504929)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 19456.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2950823?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/113 - -894\/565. Factor -2\/5*w**2 + m - 8\/5*w + 2\/5*w**3.\nAnswer: 2*(w - 2)*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/5 - 1682*c\/5 - 6536 = 0. What is c?\nAnswer: -19, 860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(2\/3)\/v)\/v)**(-1\/8)*v**(2\/3)\/(v*v**(-2\/7)))**(-49))**(-37) assuming v is positive.\nAnswer: v**(1295\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 3607*s - 1800*s - 1791*s. Let g(d) = 8*d**2 + 58*d - 13. Give g(s).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31872678\/17 greater than or equal to -1874863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 738163950 to the power of 1\/4, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10791218 by -48.\nAnswer: 5395609\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001558308548 to seven dps.\nAnswer: 0.0015583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85\/1014 or 0?\nAnswer: 85\/1014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 356630 a multiple of 681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 5944 + 1104. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 2520 = -15*t. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**2\/5 + 267*n = 0.\nAnswer: -445, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**3 - 11*k**2 - 2*k - 7. Is h(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -302865614.9560964766 - 0.0439035234. Let u = t + 302865563.7999546. Let w = u + 51.2. What is w rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 10:20 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579*s**2 + 348*s**2 - 437*s**2.\nAnswer: -668*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101538.\nAnswer: 2, 3, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 8. Let g be v(1). Let i(u) = 22*u**2 - 13*u - 13. Let f(d) = 7*d**2 - 4*d - 4. What is g*f(k) + 2*i(k)?\nAnswer: -5*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -33.1. Let i = f - -1.4. Let l = i - -0.6. Which is bigger: 9 or l?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 10. Suppose 2*z - 2 = k. What is the second derivative of -37*g**z + 45*g**2 - g + 2*g + 5*g wrt g?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 26*s**2 + 193*s - 47. Give j(15).\nAnswer: 3748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 27, -8, 3 in ascending order.\nAnswer: -8, -5, 3, 9, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111101000101010010 (base 2) to base 10.\nAnswer: 1823058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa07 (base 13) to base 16.\nAnswer: 5c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.5, 130, 3\/5 in increasing order.\nAnswer: -3, 0.5, 3\/5, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5663b5 (base 12) to base 6\nAnswer: -45322345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3697028456?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 890735.2 decades to months.\nAnswer: 106888224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5630\/9 + -11257\/18. What is the closest to -1\/6 in 14, r, -1.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/5584 and -1\/6980?\nAnswer: 27920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3259775807?\nAnswer: 41, 2039, 38993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -115\/4. Sort -2, o, 7 in descending order.\nAnswer: 7, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 42*b**2 + 113*b + 132. What is n(39)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 3. Let n be r(-2). Suppose 4*z = 12, z - 80 + 772 = n*m. What are the prime factors of m?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10577 + 10572. Which is the third smallest value? (a) 19 (b) 33 (c) m (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 21*d**2 + 7*d - 22. Let q be g(7). Suppose 12*o + q = 18*o. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 591*g**3 + 15*g**3 - 161*g + 161*g.\nAnswer: 606*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19136 = 18977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26895 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, 0.05, -3.8?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5508440 to the nearest 10000.\nAnswer: -5510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.085 - -1.285. What is the closest to -1\/5 in g, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11934, -11929, -11924, -11919, -11914, -11909?\n\"Answer: 5*j - 11939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -1 (c) 0.4 (d) 5 (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 45*r - 18. Calculate m(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2322862835?\nAnswer: 5, 241, 1927687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 2, y: 1, e: 1}. What is prob of picking 1 y and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 - 3*l + 3*l + (-3 - 991*l + 473*l + 420*l)*(2*l**2 + 0*l**2 + 4*l**2).\nAnswer: -590*l**3 - 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34822 and 210979.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2 - 2 - 5*z + z + 2*z - 1 + 1 + 2*z + (2 - 3 - 1)*(-1 + 1 - 2*z) - z - 3*z + 2*z - 4*z + z + 4*z + z - 5*z + 2*z)*(-41 + 41 + 32*z**4).\nAnswer: -32*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) - 26\/(-40). Let m = 0.5 + -0.6. Which is the closest to m? (a) -5 (b) -3\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41414013 (base 5) to base 10\nAnswer: 341758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 7)\/((-1)\/22). Calculate the greatest common divisor of v and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -903*p**4 - 749*p**2.\nAnswer: -21672*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**2*u**3 - 3*k**2*u**2 + 3*k**2 - 4*k*u**3 - 3*k*u - 79*u**3 - 42*u**2 wrt u.\nAnswer: -6*k**2 - 24*k - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -1\/4, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**3 + 2*t**2 + 37*t - 11. Let d(v) = -6*v**3 - v**2 - 19*v + 6. Calculate 11*d(w) + 6*r(w).\nAnswer: -6*w**3 + w**2 + 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9528 to 2 dps.\nAnswer: -2.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-9)\/90*9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 125098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*i - 365*i + 160*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 0.048318, 0, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-164)\/11808)\/(1\/(-24))*(-25)\/(-225)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 189, 362, 533, 702, 869, 1034, 1197?\n\"Answer: -c**2 + 176*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2205 = -4*k, -k + 466 + 95 = 2*c. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 198 - 4?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*g + 28750 + 24452 - 20147 = 759*g for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*v - 4 = 10, 3*g = -5*v + 1. Solve 0 = -3*z + 5 - g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**4 + 290*d**3 - d**2 - 1124*d.\nAnswer: 24*d + 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 48, 104, 182, 282, 404?\n\"Answer: 11*i**2 + i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*9 + (-7 - -7). Suppose -4*k = -k + h. Let c(l) = 2*l - 1. Let m(x) = -2*x + 2. Suppose -138 = -4*a - 146. Calculate a*m(i) + k*c(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 40 = 2*k. Let f = -60 + 96. Let y = f + k. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + 26?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357825.\nAnswer: 3, 5, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251.46 - -254. Let q = n - 0.14. Round q to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, r: 3}. What is prob of sequence vrrr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 3*t**2 - 5*t + 1. Let r be y(5). Let u = r + -49\/2. Which is the nearest to -2\/5? (a) -1 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2169 + -2168.99998891. Round u to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*m - 2*m - j, 5*m - 4*j - 12 = 0. Solve m = 6*y - y - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s**6 - 19382*s**4 + 2*s**3 + 189*s**2 + 35*s - 3 wrt s.\nAnswer: -480*s**3 - 465168*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 987283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 3*a**4\/5 + 92*a**3\/5 + 1058*a**2\/5 + 615*a - 2. Suppose h(s) = 0. Calculate s.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1575))\/sqrt(9) + (1*sqrt(63))**2 + -3.\nAnswer: 15*sqrt(7) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -4\/3, -14, -13.224, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12513.\nAnswer: 3, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -325*s - 246*s - 56*s - 212*s + 32*s to the form v + q*s and give q.\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -376 and -6.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 9105*x**3 + 9109*x**3 - 2*x - 7 as g*x**3 + o + h*x**2 + b*x and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9084*x. Let j(d) = -4545*d. Give -5*j(n) - 3*y(n).\nAnswer: -4527*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c - 2*c**3 - 7*c + 1 + 16*c as o*c**2 + t*c**3 + f*c + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let q(j) = j**2. Let c(l) = -2*l**2. Let i(p) = c(p) + 3*q(p). Let m(o) = -13*o. Calculate m(i(x)).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**5 + 55*g**4.\nAnswer: -5*g**4*(g - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 12*w + 1. Let y be x(5). Let f = y - 59. Let z(b) = -b - 3. Let p be z(-7). Solve -4*n - 4*j = -2*j + f, -3*j - 5 = p*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2 - 45*s. Let h(z) be the second derivative of z**3\/3 + 50*z. Calculate h(w(v)).\nAnswer: -12*v**2 - 90*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (-59 - -54).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 7*f**2 + 5*f - 3. Let h be m(-6). Let x = 0 + h. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.185? (a) -1.5 (b) 83 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g - 324. Let p be m(32). Which is the second biggest value? (a) -5 (b) p (c) -0.9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 84*j - 116. What is the remainder when 1574 is divided by v(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*b - 6. Let j = -7 - b. Let t = j - -11. Solve -3*g = -t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.1846 from -4707.41664.\nAnswer: -4715.60124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-49))\/((-49)\/14 + 120\/30)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 45. Let u = 39 + s. Calculate the highest common factor of u and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(5\/4)\/n**(-3\/4))**(-3\/5))**(-2\/49) assuming n is positive.\nAnswer: n**(12\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 148, 151, 154?\n\"Answer: 3*f + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 497*v**2\/2 + 35259*v + 71514.\nAnswer: (v - 822)*(v - 174)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 - 79. Calculate the remainder when b is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**2. Let k(r) = 2*r + 13. Determine k(b(g)).\nAnswer: -8*g**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 231, 197, 137, 39, -109, -319?\n\"Answer: -2*n**3 - n**2 - 17*n + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -37*v**2 + 2*v - 3. Let d(y) = 12*y**2 - y + 1. Let w(n) = -8*d(n) - 3*z(n). Suppose -3 = 2*t + 1. Is w(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 0.3 in descending order.\nAnswer: 5, 0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 48. Let v be ((-156)\/30 + 8)\/((-2)\/(-5)). Suppose -v - x = -u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 468037632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6113, 5\/3, -3 in descending order.\nAnswer: 6113, 5\/3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4622 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1670507 = -43*c + 773742. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14184, -28416, -42754, -57252, -71964, -86944?\nAnswer: -102246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -242*l + 2664. Let f be o(11). Let 146\/15*u**3 - 128\/15 + 2\/15*u**5 + 352\/15*u - 344\/15*u**f - 28\/15*u**4 = 0. What is u?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of x**2 + 7*x**4 - x**2 - 158 + 156 wrt x.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153.9139, -0.2, 3\/8.\nAnswer: -153.9139, -0.2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - 3*s**3 + 2*s)*(14*s - 28 + 28)*(-2 + 5 + 0) + 3*s**4 - 2*s**4 - 3*s**4 in the form a*s**2 + l*s**3 + d*s + w + b*s**4 and give b.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*p**2 - 396*p**2 + 1 + 331*p**2.\nAnswer: 194*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*o = -12, 0*a + 4*o - 6 = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-872)\/(-5330) + (11\/13 - 30\/30). Let w = -2 - -3. Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 6308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*b = -51*b - 39 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**3\/3 - 1. Let b(i) be the second derivative of i**3\/2 - 8*i. Give d(b(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 16 = -3*n. Calculate the smallest common multiple of n and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4991070 is divided by 26406?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-22))\/(23*(-2)\/322)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(1008\/(-324)) - ((-53940)\/5805 - 6\/(-27)).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 260 - -407. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/2 - 823*v**3 - 196224*v**2 - 14713369*v - 725516705\/2.\nAnswer: (v - 1865)*(v + 73)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2598 + -26?\nAnswer: -2613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*m + h + 575, -3*m = h - 454. What is the highest common divisor of 5050 and m?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/((-35)\/(-90)) - -2. Is h >= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 3 (c) -3 (d) 17.4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49625804083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 27) + 9 + 22?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 839 - ((5 - -1) + 3). Let j = m + -928. Is -97 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 12 = m. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10281235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*b + 261 + 1265 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113981900 rounded to the nearest 1000000?\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93\/5 or -10\/207?\nAnswer: 93\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5480000*(-3 + 3\/6). Suppose -2*c = -c + i. Round c to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Let k be 2756\/78*126\/4. Suppose 3*s - k = v*l - 0, -l - 1839 = -5*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 25*c - 2552. Let h(q) = -3*q + 110. Give j(h(p)).\nAnswer: -75*p + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4 - 32455*i**2*q - 807*q - 1 with respect to i.\nAnswer: -4*i**3 - 64910*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1 + 0 = 4*g, 5*g + 4 = -2*p. Let m(j) = -j**2 - 3*j. Let k be m(g). Solve 2*l = -k - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*d + 20 = 0, -3*d = -9*i + 6*i + 33. Let h(y) = 20*y**3 + 4*y - 1 - 21*y**3 + y**2 + 12*y**2. What is the remainder when h(13) is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + o + 930*o**2 + 9*o**4 - 932*o**2 - 3*o to s*o**3 + x*o + f + d*o**2 + y*o**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 18 = 13*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67061, 134681, 202859, 271595, 340889, 410741?\n\"Answer: 279*l**2 + 66783*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 125, 169?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/2 - 624*f + 64896.\nAnswer: 3*(f - 208)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71, -72, -65, -44, -3, 64?\n\"Answer: g**3 - 2*g**2 - 2*g - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*g**2*z**2 - 4*f*s*z**2 - 1108*g**2*s*z**2 - 2*g*s*z**2 + 48*g*z + s wrt g?\nAnswer: 2*f*z**2 - 2216*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 12) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**2\/3 + 540*k - 346368 = 0?\nAnswer: -2112, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*35\/((-50)\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11028 + -61?\nAnswer: 10857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/4 and -71\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 8*x - 1. Let r be a(-6). Let t(g) = g + 2*g + 5 - r*g + 4*g. Determine t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -578.9 take away 54429?\nAnswer: -55007.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 3903793.\nAnswer: 23422758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 6*d - d - 3, d + z - 3 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/7 (b) -0.3 (c) -1701 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -337, -749, -1313, -2023, -2873, -3857, -4969?\nAnswer: -6203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 147*k**2 + 75*k**2 + 77*k**2 - 2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*u - 100*u. Solve -13*a - 41 + 28 = u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41622251.8 to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28814*k**2\/7 - 4118*k - 12\/7.\nAnswer: -2*(k + 1)*(14407*k + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25787520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1298057204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 + 2.46. Let q = 0.1 - d. Let k = -28\/5 - -6. Which is greater: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101214511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 3*w**2 - 7*w + 9. Let z be r(4). Let d be (-1 + 2)\/(13\/4 + z). Let p = 29 - 32. Put -2, p, d, 5 in increasing order.\nAnswer: p, -2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/3 + 143*k**2\/3 - 1563666*k + 4690560 = 0.\nAnswer: -2240, 3, 2094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 36*p**2 - 128*p + 415. What is q(39)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Suppose k*a - 5*a = -340. Let j = a - 71. What is the highest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 236 - 106. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -74, -4, -435 in ascending order.\nAnswer: -435, -74, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 5. Let m(y) = -2. Let n(q) = 3*a(q) - 8*m(q). What is n(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 0.15596.\nAnswer: -0.14404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 623 - 1149 + 574 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 - -13?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -f + 2, -17 = -31*q + 36*q - 4*f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n = -39*n - 12. Suppose 0 = 2*h + 5*k + 19710, -n*k + 8555 = -4*h - 30891. What is h rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**6 - 19916*q**3 + 9*q**2 - 6*q - 4.\nAnswer: -120*q**3 - 119496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1143882, -1143794, -1143706, -1143618, -1143530?\nAnswer: -1143442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2299) + -4 + -2 + sqrt(2299) + 2 + (sqrt(114) + -2*(sqrt(114) + -2*sqrt(114) + sqrt(114) + sqrt(114)) + sqrt(114) + sqrt(114))\/(sqrt(384)*-1).\nAnswer: -4 + 175*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -7. Let o = -62.82 + 67.82. Let w = -10 - -7. Which is the closest to w? (a) 1\/2 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**2*z**2 + 232*l*z**2 - 293*z**2 wrt l.\nAnswer: -4*l*z**2 + 232*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttyyxexxtxe. What is prob of sequence txty?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4693 and -52\/3621?\nAnswer: 16993353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryrppzurryy. What is prob of sequence ru?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.08\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*k + 83 = -6*k, -5*j + 3*k + 81 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**3 - 6*o**2 - 11*o + 1. Let n = 333 + -332. Let r(v) = -v**3 - v**2 - v. Calculate n*z(t) - 6*r(t).\nAnswer: t**3 - 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/175)\/((-288)\/(-1800))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqnqqqqnqqqhaaqsq. Give prob of picking 1 q, 1 h, and 2 a.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 3*o - 3. Let u(a) = -a**2 - 5*a + 5. Let b be u(-5). Suppose 2*t + 6 = b*y, -2*y = t - y - 4. Calculate z(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8343?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/6, 0.04, -3\/2, -8, 5.3, 0.1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864500 a multiple of 1348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 13 + -1 + -5 - 19?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 68 and 210814256307.53?\nAnswer: 210814256239.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0 + 0 - 3*g + 1 - 1 + (2*g - 4*g + 0*g)*(0 + 4 - 2) + g - 1 + 1 + g + 0 + 0)*(-g - 8*g + 0*g + (0 - 3 + 4)*(-4*g + 3*g - 2*g) + 0 + 0 + 2*g).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19*-0.11\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5468, -22053, -49976, -89465, -140748, -204053, -279608?\n\"Answer: -38*g**3 - 5441*g**2 + 4*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/55362692 and 93\/181905988?\nAnswer: 1273341916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 98*w - 93*w - 1095 = 0, 0 = c + 3*w - 265. Calculate the highest common divisor of 24 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {d: 1, q: 1, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u - 4*d = 40, -d - 5 = 0. Suppose a = m + 6, 3*m + 2*a - u = -2*m. Let p(o) be the first derivative of 5*o**3\/3 - o**2\/2 - 1. Determine p(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 883744 and 1888?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8828773249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 0*i**3 + 94 - 85 - 17*i**2 + i**3. Let p be o(17). Let m = 1 - -8. What is the greatest common divisor of p and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 49.3862, -4, 0.1, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**2*q**3 - k**2 - 3*k*q**4 - 4*q**4 - 9*q**2 wrt q.\nAnswer: -24*k**2 - 72*k*q - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 2317*q**5\/20 + 1109*q**4\/6 - 996*q. What is the third derivative of k(j) wrt j?\nAnswer: 13902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*s + 989, w + 996 = 3*w - 4*s. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 8*y**2 - 9*y + 11. Let v be w(9). Suppose -5*z = -2*o + 25, 5*o - 11 = -z + v. Solve -4*h + o*h + 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -35*n**2 - 449*n + 239. What is z(-15)?\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3\/5 + 12*k**2\/5 + 64*k\/5 - 192\/5 = 0. What is k?\nAnswer: -4, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216858.\nAnswer: 2, 3, 47, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 319482086 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, -15\/14, -5, -20 in ascending order.\nAnswer: -20, -5, -3, -15\/14, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-8))\/((-6)\/(-8)). Solve -7 + 1 = -o*m, 3*m = 2*z + 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64737400697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/4)*i*i*i**(-2)*i**4*i\/i**(-1\/5)*i*((i\/(i*i*i**1*i))\/i**(-3))**(-5\/7) assuming i is positive.\nAnswer: i**(139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1877, 4090, 6303, 8516, 10729, 12942?\nAnswer: 15155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 0*h**3 + h**3 + (-3 + 0 + 6)*(-1132*h**2 + 2*h**3 + 1132*h**2) to n + d*h**2 + b*h + r*h**3 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2, -125, 112 in ascending order.\nAnswer: -125, -4, -2, -1, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 357\/918*(-3)\/(-7). Let d(n) be the second derivative of 0 + n**2 + 6*n + 1\/12*n**4 - t*n**3. Calculate d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 24 = u + 2*u, 4*u - 2*a = 6. Suppose -u*k = -4*k - 120000. What is k rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/20 + 2*m**4\/3 - 23*m**3\/6 - 3*m**2\/2 - 4261*m. Calculate c(-11).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -18*j**2. Let l = 1 - 5. Let o(k) = -k**2 - 4*k + 4. Let x(n) = n - 1. Let c(u) = l*x(u) - o(u). Determine c(b(g)).\nAnswer: 324*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2 + 2*z + 2. Let x = -4 - -6. Suppose -j - 12 = x*j. Let q(l) = 212742*l**2 + 9 + 9*l + 212742*l**2 - 425497*l**2. Calculate j*q(n) + 18*a(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 47*r**2 + 13*r + 22. Let l be h(-2). Calculate the greatest common factor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by ((-10)\/(-3))\/((-46)\/(-207)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**3 + 24*w**2 + 14*w + 2. Let k(m) = -6*m**3 + 46*m**2 + 27*m + 4. Let g(l) = 11*i(l) - 6*k(l). Let r = -17 + 24. Is g(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 4, -12.\nAnswer: -12, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*s**2 - 50*s - 115*s + 163*s - 4*s**4 to t*s**3 + y*s**4 + j*s**2 + q + i*s and give j.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8532 and 2701800.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + 3*w**2 - w + 4. Let p(j) = -4*j**3 + 5*j**2 - j + 6. Let b(x) = -5*p(x) + 7*t(x). Determine b(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/(-4) - (-2)\/4. Let m = y - -10. Let t = -1\/39 + 29\/117. Which is the smallest value? (a) t (b) m (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o = k - 11, o - k - 1 = 0. Suppose -58*l + 14910 = -23*l. Suppose 0 = -o*x + 2*x + l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000687 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 + 7)\/(1\/2). Let d be (-24)\/(-56) + (-134)\/(-14). Let j be 32\/(-6) - d\/(-30). Put j, -5\/3, t in descending order.\nAnswer: -5\/3, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -753*m - 4671. What is h(-5)?\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.1. Let u = -11.9 + o. Let y = 11.999991 + u. Round y to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.66817 to one decimal place.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 greater than 185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 + 188 = 4*i. Let u = i - 112. Solve u = 4*z - 2*s + 22, -3*z = -4*s - 5 + 29 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -56\/3*j + 40 - 2\/3*j**2 = 0.\nAnswer: -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17 + -23 - 2\/(-2). Let m be 40\/100 - 23\/f. Suppose -5*u - 3 = -2*a, 3*a - 3*u = -8 + 26. Solve m*w = 6 + a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5298429, -5298430, -5298431, -5298432, -5298433, -5298434?\nAnswer: -5298435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-4) + (-3)\/6. Let m = 8 - x. Suppose -m*u - 2 = -6. Which is smaller: u or -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -189*c + 129. Let j be f(4). Calculate the remainder when 56 is divided by (-1)\/(-10) - j\/30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 1. Let v(j) = 4*j**2 - j**3 - z*j**2 + 14*j**2 + 7 - 9*j. Is v(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 1, e: 6, n: 4}. Give prob of sequence jn.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 5*w + 9, -4*x + 4148*w - 12 = 4149*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 5*v + 2. Let w = 0 + 4. Suppose w*a = -10 - 10. Give c(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, -0.1, -52\/7, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - 5f9?\nAnswer: -5e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4928 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12638 and 40223.\nAnswer: 27585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*m - m + 14 = 0, -4*o - 4*m - 12 = 0. Let g = o - -2. What are the prime factors of 11 + g - (3 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 674 - 674 - 2*v**4 + 6*v**2 + (-3*v**2 + 2*v**2 + 0*v**2)*(4*v + 2*v**2 - 4*v) to the form r + d*v**2 + q*v + c*v**3 + n*v**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2. Let p(a) = -a + 1. Let f(d) = -4*d + 2. Let y(x) = f(x) - 2*p(x). Determine z(y(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 8:47 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*x + 186, -5*x - s = -3*x - 201. Calculate the remainder when x is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 16*i - 8. Determine u(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 28 + 69 + c**2 - 41.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222466174 is divided by 229.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 7:35 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**7\/630 + h**6\/120 - h**4\/3 - 11*h. Let c(z) be the third derivative of n(z). What is the second derivative of c(u) wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 128\/6 + -3*5\/30*4. Let a = -58\/3 - -299\/15. What is the fourth biggest value in i, a, -1\/6, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -672, -1619, -2844, -4347, -6128, -8187?\n\"Answer: -139*z**2 - 530*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 308\/9 (b) 0.06 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-4 + 7 - 12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -271 - -1133. Let c = i + -513. Let t(s) = -1 - 359*s + 1 + c*s. Calculate t(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25437.\nAnswer: 3, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32861079809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p + 13. Give c(10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8*m = -30. Let k(i) = -i**2 - 1. Let q(c) = 2*c**2 + 8*c + 9. Let u(r) = -k(r) - q(r). Is 2 a factor of u(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26560 is divided by 233?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4930 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2136*z - 2143*z - 2145*z - 2144*z - 2140*z + 10702*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 541685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10*g + 17. Suppose 32*x - 35*x = 12. Let y be i(x). Find the common denominator of -22\/5 and y\/18*9\/12.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26, -48, -72, -98, -126, -156, -188?\n\"Answer: -h**2 - 19*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-4*-2.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + 41)\/1 + 3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-27 - -15) + 19 - 15\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -16*h**3 - 11*h**2 - 5*h + 15. Let f(t) = -9*t**3 - 6*t**2 - 3*t + 8. Determine -7*f(y) + 4*o(y).\nAnswer: -y**3 - 2*y**2 + y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, j: 5}. Give prob of picking 1 j and 2 u.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 306 and 459.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 4.7 (c) 0.5 (d) 5 (e) -1 (f) -6 (g) 5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**3 + 2*o**2 + o**3 - 3*o**2)*(-4 + 4 + 2)*(-4 + 4 + 1) to the form t*o**2 + v*o + q*o**3 + h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + 4*sqrt(528) + sqrt(33) + sqrt(33) + (-2*sqrt(33)*1 - sqrt(33)))\/(sqrt(432) + 1*((sqrt(432) - -2*sqrt(432) - sqrt(432)) + sqrt(432))).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 6. Let y be g(-2). Suppose 2*b = -0*b + 2*t + 6, y*b = -5*t + 13. Solve -2*r + 3*r = b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6953, 6952, 6951, 6950?\nAnswer: 6949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17363680 to the power of 1\/2, to the nearest integer?\nAnswer: 4167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2935 - -2935.5. What is the closest to -1 in -0.4, b, 338, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 4. Let v be g(9). Suppose 2*d + 3*q - 68 = 0, -v*q + 19 = -d + 66. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l = 0. Is 6\/7 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = g + 2*n, 2*g + 2*n = -48 + 70. Solve -g*x + 21 = -7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - (3 - (2 + 3)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 365 + 10*p**2 - 1289 - p**3 - p + 394 + 375 in the form b*p**3 + s + t*p**2 + r*p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127.95 - 134. Let j = v + 512.05. Let t = j + -514.26. Round t to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2195, 0, -2 in decreasing order.\nAnswer: 2195, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + -1 + (-714)\/136 - 18\/(-96). What is the smallest value in g, 1\/6, 128?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/8)*w)\/(w\/(w**6\/w)*w))\/(w**0)**(-47)*w\/w**(-3)*w*((w*w**(-4)*w)\/w*w)\/w*(w*w\/w**(-4\/3))\/(w*w**2) assuming w is positive.\nAnswer: w**(155\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084 - 6.164329?\nAnswer: -6.248329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (199 + -95 - 132) + -39.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(4 + 2 - 3)*(-2 + 2 + 1)*(1 - 5 + 3)*(4*u - 3 + 3) as v*u + x and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + g**2 - g. Let w(u) = u**3 + 5*u**2 + 5*u + 4. Suppose 3 = 4*k - k, 4*k = l + 2. Suppose 0 = -0*p - l*p - 8. Let j be w(p). Calculate b(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Let u be (42\/28)\/(c\/(-8)). List the prime factors of (895\/10)\/(((-15)\/u)\/5).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 9, -0.3, -1\/5 in descending order.\nAnswer: 9, -0.01, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88896*z**5 + z**4 - 6*z**3 - 497782*z**2 + 5*z + 2.\nAnswer: 5333760*z**2 + 24*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4083053972?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*z - 18338 = -3092 for z.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 10*j - 8. Calculate n(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 38*f + 243. Give d(-4).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*2 + (-7 - -6). Solve 12 = -4*w - 4*s, -a*s = -4 - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65323010 divided by 13064602\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(5) - sqrt(10)\/sqrt(32)) + (sqrt(3)*1*1 + -3)**2)*-1.\nAnswer: -12 + 14*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-28))\/(((-30)\/40)\/(-1)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*j - 27 = -4*a, -45 = -5*a - 4*j. What is the second derivative of -3*n**2 - 49*n**5 + 3*n**2 - a*n + 57*n**5 wrt n?\nAnswer: 160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73727.\nAnswer: 73727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*d - 2870, -5*x + 10*x = -3*d + 1720. Suppose -d + 3155 = 15*o. What are the prime factors of o?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 2*r**3 + 102*r - 676333 + 676333.\nAnswer: -2*r**3 - 7*r**2 + 102*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*n**5 - 364*n**4 - 575472*n**3 + 433288*n**2 + 2591456*n + 1583076 = 0. Calculate n.\nAnswer: -179, -1, 11\/4, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 - -3. What is the highest common divisor of 312 and o?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 15. Suppose 0*q = v - 5*q + 35, -4*q = m*v + 42. Does 6 divide -14*(2 - v\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172951 and 30264.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11720 - -12963. Which is the second smallest value? (a) u (b) 2\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -2*sqrt(68) + sqrt(68))*-2 - (2 + 1*-2*sqrt(68))**2) + -4.\nAnswer: -272 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-20))\/(2\/10). Is 41*s - 6\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ffhfffff?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335544 is divided by 25588?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4530 = 4*t - 0*t, -5*k - 2259 = -2*t. List the prime factors of t.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -157 - -157. Let d be 424\/265*(s - (-5)\/2). Let k = 1 + -0.9. Are d and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61\/15 + -25\/6. Let q = -7\/30 + m. Which is the closest to 0? (a) -4 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3. Let f be n*(2 + (-26)\/2). Let d = f + -15. Sort 5, 1, d in descending order.\nAnswer: 5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 50002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*h + 285*h + 2404 - 662 = 0 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120908077*v**3 - 1521*v + 1735.\nAnswer: 725448462*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 216043841 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 9*d**2 + 16. Let v be o(-9). Let z be -16*(4\/8 + (3 - 4)). What is the highest common divisor of z and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 2658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 165\/270*9 - 2\/4. Solve -c*v - 7 - 8 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sddwdwdmwddddmdwddds. What is prob of sequence sw?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33700\/2600 - (2 + 44\/4))\/1.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*v - 18 = -10, 3*o = -4*v - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*a - 3. Let k(l) = -l. Let x(g) = -g + 1. Give a*x(y) - 3*k(y).\nAnswer: 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 862, 1370, 2210, 3382?\nAnswer: 4886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from uuiuiluuuiuiiluu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**13\/(x\/(x**(-1\/38)\/x*x)) assuming x is positive.\nAnswer: x**(455\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 3:44 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*i = 911*i - 97216 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11498 = 556*h + 3301 - 10707 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 265*d - 36790 - 5610. Calculate the highest common factor of 110 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1181 - 1177. Solve -4*d = -k*g - 0 + 4, -3*d = -4*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 1001?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0903217 + -0.0373615\nAnswer: -0.1276832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*v + 17, 3*v + 5 = 5*h - 2. Let i be h\/4 + 26\/40. Let l = 4 + -3. Which is greater: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 39 = -n - 15, 5*l - 41 = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (7 - (-13 - -18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 891 * -218\nAnswer: -194238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0*l - 25\/112*l**8 - 2*l**2 - 1\/2*l**4 + 3\/7*l**7 - 3\/5*l**5 + 0 + 0*l**3 + 11\/40*l**6. Let i(r) = 0. What is r?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 347, 368, 407, 470, 563, 692, 863?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*l - 42*l - 480. Suppose -2*h = q - 73, 5*q + 3*h + l - 497 = 0. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -900, -2703, -5412, -9021, -13524?\nAnswer: -18915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -476, -426, -7, -2, -5 in descending order.\nAnswer: -2, -5, -7, -426, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(3)*-4 + sqrt(24)\/(sqrt(12)*-2))**2 + -2)*-2 - 2*((sqrt(200) + -1)*-4)**2*4.\nAnswer: -25805 + 2560*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 24*a + 200 = 0. Let d(f) be the third derivative of -f**6\/120 - f**5\/20 + 19*f**4\/24 + 5*f**3\/6 - 2*f**2. What is the units digit of d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 4:18 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from {h: 8, n: 5}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45777 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41435971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + r - 1 - 1 = 0, 5*q - 2*r - 31 = 0. Suppose 5*y = 2*h - 27, 9*y - 10*y = 3. Let j = h + q. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/18 and 81\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 - -5 - (-270)\/3?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432303 divided by -227.\nAnswer: -432303\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1664203 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-27\/2))\/(s*s*s**(-9)) assuming s is positive.\nAnswer: s**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*p - 14557 = 9413. Is p bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a + 44*a - 21*a - 39*a**3.\nAnswer: -39*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113764656 and 40952.\nAnswer: 113764656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*y + 26 = 0, 4*r - y - 23 - 8 = 0. Suppose -134 + 17 = -r*h. Let b(t) = 14*t - 3. What is the remainder when b(2) is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -20. Let y(q) = -2*q - 7. Let t be y(d). Differentiate -1 + 4*l**2 - 4*l**2 - t*l**4 wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:16 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/6*8\/110. Let d = a - 1\/11. Let z be (-1 - -2)*(0 + 2) + -3. Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 62\/8 - (-2)\/8. Let z = -300 + 304. Is k != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2.8, 16, -16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1741122, 1741128, 1741160, 1741236, 1741374, 1741592, 1741908, 1742340?\n\"Answer: 3*x**3 - 5*x**2 + 1741124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*a - 20 = 0, 0 = p + 4*p - a - 20. Let r(t) = 90*t - 83*t - 3 - 1. Let q be r(4). Calculate the greatest common factor of q and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 1*sqrt(833) + -2.\nAnswer: -2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(0 - 10\/65). Suppose -4*m + 5 = -i. Solve 4*f + f - 16 = -4*j, 0 = -5*f + 4*j + m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350226 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(26)*2)\/(3*(((sqrt(162) - 1*sqrt(162)) + sqrt(162) - sqrt(162)) + sqrt(162))).\nAnswer: -8*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/243)\/(((-36)\/3)\/(-144))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87377 and 1219.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 46 = -4*h + y, 5*h - 5*y - 55 = 0. Let a be (-2)\/h - 25\/(-60). Sort 0.1, -0.5, a in decreasing order.\nAnswer: a, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**4 - p + 7. Find the first derivative of j(i) wrt i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + 606. Let b(v) = -v + 9233. Calculate x(b(t)).\nAnswer: -3*t**2 + 55398*t - 255744261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i - l - 114, l + 4 = 0. What are the prime factors of (-3)\/6*i + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*3*sqrt(504)*2)\/(-4*sqrt(50)*1*6))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/4))\/(p*p**(-2\/19)*p)*(p**(-1)\/p)**38 assuming p is positive.\nAnswer: p**(-5825\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 23. Suppose -d*j = -32*j - 24. Solve 0 = j*w - 3 - 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -280 (b) -2\/17 (c) 0.861\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*j = 4*m + 391*j - 100, 0 = -75*m + j + 27 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o + 2*o)*(1 + o - 1) + (347*o**2 - 129*o**2 - 105*o**2)*(-2 + 3 + 0).\nAnswer: 115*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 21602152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**4\/24 + 5*o**2. Let m(n) = 11*n. Let j(v) = 100*v. Let i(y) = -6*j(y) + 55*m(y). What is b(i(p))?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -16*u + 2*u - u**2 - 1 + 12*u. Let o = -100 + 97. What is p(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7304\/131325 - 4\/1751. Find the common denominator of y and 107\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by ((-3)\/(-4))\/(-2 + 51\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -1304575070?\nAnswer: 1304575073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29552666*c**4 - 30781278*c wrt c?\nAnswer: -354631992*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211608 is divided by 171?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17174.\nAnswer: 2, 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 14 = s, -i = -6*s + s + 40. Let w be 11253\/9 - (3\/s - 0). Let d be (2 + 7048\/(-20))*w. What is d rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1790124 to the nearest one thousand.\nAnswer: 1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*p - 4, -440*l + 888 = -461*l + 3*p. Let v = 13622 - 81995\/6. Is l greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6653.4 - 4.\nAnswer: -6657.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079108673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3673905 and 143530?\nAnswer: 2315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 11:49 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 104 + 28. Let z = f - -49. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3153 + 462 = 3*w. Let c = 1879 + w. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 = 2*x + 3*l - 516 + 245, 8 = -5*x + 2*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -582 + 675. What is the remainder when r is divided by 44 - -6*(-3)\/(-6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 62276613?\nAnswer: 62276613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 + 3*t. Let v(h) = -17*h - 1. Let k(p) = 18*p + 1. Let z(j) = 5*k(j) + 5*v(j). Give f(z(m)).\nAnswer: -100*m**2 + 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/(-36)*(-22)\/((-176)\/180)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -29851, -5, 0, -1 in decreasing order.\nAnswer: 1, 0, -1, -5, -29851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 577 - 1503. Let o = -535 - h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*x**2 - 6*x**2 + 12*x**2)*(2*x**3 - 3*x**3 + 2*x**3 + (2*x + 4*x - 4*x)*(0*x**2 + 2*x**2 + x**2) + 0 + 0 - 2*x**3).\nAnswer: 330*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = w - 221, -5*b + 3*w - 121 + 393 = 0. Let x = 12 - 2. What is the remainder when b is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 10*m**2 - 10*m + 11. Let h be ((-12)\/8)\/((-2)\/12). List the prime factors of c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -103301333?\nAnswer: -103301320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/15*3)\/(7\/210). Suppose 435 = d*p - 1545. What is the greatest common divisor of p and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 119, 124, 147, 200, 295, 444, 659, 952?\n\"Answer: 2*n**3 - 3*n**2 + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8173 or 8125?\nAnswer: 8125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 48, 93, 142, 189?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.4. Let y be (-4 + (-3 - -9))*-1. Let q be y + -1 + -4 + 2. Which is the second biggest value? (a) q (b) -3\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 53. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by (-1 + -1)*(-340)\/40.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/195006501 and 49\/15.\nAnswer: 975032505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.018 - 0.282. Suppose -f - 7 = -5*p - 15, p - 2 = 2*f. Sort h, f, 1\/4, 3 in decreasing order.\nAnswer: 3, 1\/4, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -718 + 718.00000473. What is q rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708*b**2 + 708*b**2 - 1418*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64348*q + 32416*q + 31950*q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15997 a factor of 54485782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18898*j - 18871*j + 810 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 1. Let b(v) = -v**3 - 5*v**2 - 3. Let u(k) = -b(k) - j(k). Let h be u(-6). Solve f = h*f + 5*q + 8, -q = -2*f - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 7*b - b - 1 in the form s + f*b and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {x: 5, n: 4, p: 2, m: 1, c: 2, z: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-10)\/8*(-12)\/(-90). Sort d, 1\/7, 12\/11 in decreasing order.\nAnswer: 12\/11, d, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10022148982598 and 29.\nAnswer: 10022148982627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, d: 5, b: 1, l: 4}. Give prob of picking 1 d and 1 q.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = t - 208. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5803 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126 - -126. Suppose r = -4*g + 1235 + 417. What are the prime factors of g?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*w + 2*w. Suppose 0 = -4*o + w, 3*x + 2*o = -o + 66. Solve 4*l - x = -8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2946 + 1682 = 469*t + 17965 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15170 + -15154. Solve 0 = 281*p - 285*p + f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -1\/2*z**2 - 1 + 0*z - 14\/3*z**3. Let m(v) = 730*v - 6571. Let q be m(9). Calculate l(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 - 6*g + 1. Is v(-2) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6077280 and 640.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49512 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 10:19 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (93 - -1) + 10 + (58 - 95)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/12*1*(-5)\/1\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1385253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from {d: 5, l: 8}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.8, 2, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 201\/10, 1, 8, 0, -3\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 11:22 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147082 + 13678753\/93. Let m = v - 1\/31. Factor -4\/3*p**2 - m*p**4 - 2*p**3 - 1\/3*p + 0 - 1\/3*p**5.\nAnswer: -p*(p + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 20*r**2 - 3*r + 1. Let d be -1 + 6*1\/2. Let b be a(d). Suppose 4*l - 219 = -b. What is the highest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2402*t - 2483*t = -47142. Calculate the remainder when t is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -88. Let m = -26.00007 + s. What is m rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**2 + 7186068*m + 57488288 = 0 for m.\nAnswer: -1796509, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -312.998? (a) -1\/4 (b) -2\/13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -11. Let z be (64\/40)\/(o\/(-10)). Let b be 4 - (-5)\/((-10)\/z). Is b > -1\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 2 - 619*w**3.\nAnswer: -619*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.62 and -77.\nAnswer: -201.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = d + 1, -15 = -4*d - y. Let u be -3*(7\/d - 2). Let a be u - ((-4 - 1) + -2). Calculate the greatest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 190? (a) 4 (b) -5 (c) -2\/13 (d) 0.031 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - z**2 - 4*z + 967. Let o(d) = -2*d**3 - 2*d**2 - 7*d + 1934. Calculate -7*h(n) + 4*o(n).\nAnswer: -n**3 - n**2 + 967","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -5\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 4)*(0 - 6 + 2 + 2)*(-59*a - 187*a + 37*a) as t + j*a and give j.\nAnswer: 1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154889127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(0 - 1\/(-2)). Suppose a = 4*h - 9 - 111. Suppose -t + 0*t = 3, -3*q + 3*t + h = 0. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 0*v**2 + 2*v**2 + (0 + v**2 + 0)*(2 + 2 - 6) + (-v - 1 + 1)*(2*v + 9*v + 3*v) in the form z*v**2 + o + i*v and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -26942391150402?\nAnswer: -26942391150402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*(-1 - -1). Suppose t = -4*b + l + 143, -3*l + 41 = 2*b - 48. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384d8 (base 15) to base 13\nAnswer: 63bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84\/276455 - -815756171\/158132260. Let k = 6\/715 - n. Find the common denominator of ((-6)\/(-20))\/(84\/(-1085)) and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 41. Let i(w) = 3*w**3 - 2*w**2 - w - 2. Does 6 divide i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z + 80 = 46*z. Solve t = -8 + z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -814150 by 19.\nAnswer: -42850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501, -616, -809, -1080, -1429?\nAnswer: -1856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10050154 (base 6) to base 9\nAnswer: -475877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = -3*u, -3*c - 2*c + 2*u = -60. Let d be (6\/(-10))\/(2\/c). Let v(j) = j**2 + 4*j + 2. What is v(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-5))\/((-9)\/225). Suppose -35*v + m*v = 75. Calculate the remainder when 207 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 8:43 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + -2*(0 + sqrt(500))**2 + -4 + sqrt(500) + 3 + -1*(-2*sqrt(500) - sqrt(500))**2.\nAnswer: -5498 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 + 7711320*z**3 + 7433057017800*z**2 = 0. Calculate z.\nAnswer: -1927830, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 + 2*b - 2. Let v(s) = s**2 + s + 1. Let c(f) = d(f) + 4*v(f). Let r be c(6). Suppose 3*q = -r*q + 515. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = -s - v, 0 = -3*v - 6. Let t(y) = -7 - 2 - s*y + 4 + 7*y. Let j(m) = 1. Give 6*j(u) + t(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -19. Let b = 0.03 + -2.03. Let s = 4 + -4.2. What is the third biggest value in b, l, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 82.1 and -0.09.\nAnswer: -7.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*j = -262*j + 420*j + 2310 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (36\/16)\/((-6)\/8). Suppose 9*p**3 + 9*p**4 + 3\/2*p**5 - 117\/2*p - 27 - 30*p**k = 0. Calculate p.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/9834 and -49\/18.\nAnswer: 29502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-638)\/(-58) + (-45)\/3. Which is the closest to 16? (a) -2 (b) -259 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s. Let h(n) = 47*n + 5. Let o(l) = 588*l + 63. Let x(t) = 63*h(t) - 5*o(t). What is x(a(u))?\nAnswer: -42*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 49*t + 189. Let y be a(4). Solve 13 = 4*p - r, 13*r = -3*p + 10*r - y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -11249*t**3 - 3*t**2 + 2*t. Let d be 1\/5 - (-153)\/(-15). Let o = -8 - d. Let q be w(o). Round q to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - -1.8. Is c at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 83. Let q = 253\/4 - a. Solve q*s + 0 + 1\/4*s**2 = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37536)\/(-920))\/102*10\/64?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3884*o**2 - 3689*o**2 + 1 + 7450*o**2)*(-2*o + 3 - 3).\nAnswer: 246*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/457608 and -49\/103730.\nAnswer: 1031906040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2*v + 21973 = 21987, 0 = u + 2*v - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 - 42 + 7)*(0 + 2*r + 0)*(-3 + 3 - 2).\nAnswer: 352*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11184 = 635*m - 1248 + 14204 + 21580 for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34643532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 3*i**2 + 3*i - 17. Let k(b) = 3*b**3 - 4*b**2 + 4*b - 21. Determine -3*k(v) + 4*l(v).\nAnswer: -v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaeeaaeaxq. Give prob of sequence aee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878866497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**3 + 12*k**2 + 10*k. Let s(l) = 26*l**3 + 36*l**2 + 30*l. Let h(f) = -20*i(f) + 6*s(f). Find c such that h(c) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.1621 * -0.8.\nAnswer: 3.32968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + 1 + sqrt(175)))**2*1.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -204311433 (base 5) to base 11\nAnswer: -533688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 117090?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = 19*p + 51. Let r(k) = 12*k - 40. What is the tens digit of r(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*1*-4 - (sqrt(119) - -3*-2*sqrt(119)))\/(-3*sqrt(343)*-2) + 5 + -1.\nAnswer: sqrt(17)\/42 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 11*p**2 - 11*p - 6. Let g be v(-10). Suppose -5*a + 3*h - 158503 = 76512, g*a = -h - 187995. What is a rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 544 divided by -215232.\nAnswer: -17\/6726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Let d be (-2)\/((-6)\/(-9)) + l. Suppose -d*z - z + 147 = 0. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6030511 (base 8) in base 3?\nAnswer: -2222112212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oorgrroogooog. What is prob of sequence roog?\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**2 - 94*a**2 - 2*a**3 - 7*a**2 + 44*a**2 + 42*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a + 200\/3*a**3 + 90 - 5\/3*a**5 - 20\/3*a**4 - 250\/3*a**2 = 0.\nAnswer: -9, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4952403613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + l - 17903 = 0, 2073*l = -2*g + 2075*l + 17924. Calculate the greatest common divisor of 180 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14*(-1)\/2 + -1. Let q = d - -15. Is q != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000018112 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -4\/9, 3\/7, 812, -1048, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i + 0*i - i)*(-105 - 100 - 22).\nAnswer: -3405*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.5 (b) 34 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*n + 8*h - 4*h, -2*n = -3*h - 25. Let f be (-6)\/10 - 2\/n. Let r(i) = -10*i - 1. Is r(f) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 3*j**2 + 2*j + 10. Suppose 0 = q - 7*q - 186. Let m = 34 + q. What is the remainder when 77 is divided by d(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 + 2*h - 2. Let s(f) = 7*f**2 + 2*f - 1. Let l(b) = -3*a(b) + 2*s(b). What is l(6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**1)**(-2\/101))**24 assuming w is positive.\nAnswer: w**(-144\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 72*r + 2 - 72*r)*(-r + 3*r + 2*r).\nAnswer: -12*r**4 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165806*z**2 + 497344*z**2 - 166057*z**2 - 165874*z**2.\nAnswer: -393*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 251*u**2 + 738*u + 76. Is f(-45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -240 - -72?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*u - 17 = 0, 20*l = 16*l + 3*u + 18. Solve 0 = l*n + 22 - 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 23) + (6 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + t**2 - 2*t**2 + t)*(-19 - 4 - 25)*(255*t**2 - 106*t**2 - 115*t**2) to k + c*t**2 + j*t**4 + r*t + w*t**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 3\/4 (c) 0.3 (d) 1\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 85.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 + -2.6. Which is the third biggest value? (a) 25 (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddff when four letters picked without replacement from dddddfdddfddd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 g when four letters picked without replacement from ggppg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28b7 (base 12) in base 4?\nAnswer: 1022023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10905.385 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -759.9408 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 = 5*o + 2, o + 5 = -4*c. Let p(q) = -5*q**2 - 2*q + 4. Let m(v) = v**3 - 4*v**2 - 2*v + 3. Let a(f) = 5*m(f) - 4*p(f). Calculate a(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68.6 - -69. Which is the third smallest value? (a) -3 (b) t (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 1 + 40 = 0, 5*w + 5*s - 11 = 26 + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = -m + 14, 5*b + 4*m = 62. Find the first derivative of -b*t**3 - 5 + 2 + 5 + 4*t**3 wrt t.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4936 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 864 and 2976?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -113*d**3\/3 - 7*d**2\/2 + 7*d. Is n(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/72 and 113\/3264?\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2049125 divided by 485?\nAnswer: -4225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/(-672))\/(2\/(-91))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/2*(-14)\/(1386\/(-165))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806968625?\nAnswer: 5, 6455749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2)*(-2)\/(-4). Let n(p) = 791*p**3 - 7*p**2 - 5*p + 20. Let g be n(2). Suppose -5*t = -o*t - g. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 8*h + 12*h**2 - 1 + h**3 + 3 + 0*h. Is t(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036.107 nanoseconds in minutes?\nAnswer: 0.00000001726845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*b + 4*m, -5*b + 0 = 3*m - 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0108197 rounded to 4 dps?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 485 + -454. Let x be ((1\/2)\/1)\/(l + -30). Factor -x*o**3 + 2*o**2 - 3\/2*o + 0.\nAnswer: -o*(o - 3)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4483916 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 9*m - 4*m. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504920 and 2782?\nAnswer: 54026440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*p**3*p)\/p)**(12\/5))**20)**(-40))**(-3) assuming p is positive.\nAnswer: p**23040","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961694 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a104 + -1a63?\nAnswer: -bb67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7751, -7749, -7745, -7739, -7731, -7721, -7709?\n\"Answer: t**2 - t - 7751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3670.997 decades in months?\nAnswer: 440519.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(891) - (1 + sqrt(891))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -166126.4 and 27?\nAnswer: -4485412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 114*x + 0 - 1\/2*x**2 + 49\/6*x**3. Give k(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -2, -11, -20, -29, -38?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(-328*u + 47*u - 143*u).\nAnswer: 1272*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*n + y, n - 3 = 3*y + 2. What is the closest to n in 5, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22615145, -22615117, -22615089, -22615061?\nAnswer: -22615033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -97*p + 8. Let a(l) = 96*l - 7. Let y(x) = -7*a(x) - 6*i(x). Let o be y(-1). Round o to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1736086600 to the nearest 100000.\nAnswer: -1736100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3)*(-11748)\/356)\/((-2)\/14)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1512 and 840.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 285356*g - 2488. Let f be m(-27). Round f to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-5)*10\/(-4). Let w(v) = -3*v**3 + 2*v**2 - 1. Let h be w(1). Let u be (20\/h)\/((-4)\/k). Solve u + 20 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110*(-12)\/(18240\/1672)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by -33?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 0*y + 0*y**3 - 1\/4*y**6 - 2 - 3\/4*y**4 + 1\/4*y**2 - 4\/5*y**5. Let w(j) = 0. Calculate j.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 45.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**4*d - 563*b**3*d - 30*d + 11 with respect to b.\nAnswer: 16*b**3*d - 1689*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115124703 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 289 + -281. Calculate the least common multiple of 304 and t.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 8:40 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((150\/10)\/((-54)\/(-24)))\/(6\/477) and 265?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 346.28 and -0.3.\nAnswer: -103.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + -100. Factor -1\/3*z**d + 0 - 8\/3*z**2 - 4\/3*z - 5\/3*z**3.\nAnswer: -z*(z + 1)*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20669316 is divided by 2027.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4276, 10519, 35178, 69701, 114088, 168339, 232454?\n\"Answer: 4932*q**2 - q - 9207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15995495.01 rounded to the nearest ten thousand?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/p)\/p*p*p*p**5*(p**(-1\/2))**(-30) assuming p is positive.\nAnswer: p**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 4. Let d be i(-7). Suppose 5*m - 2*k + 5*k = 15, m + d*k = 3. Factor -7*z**3 + z**3 + 3*z**m.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 11. Let j = z - -26. Suppose -j*b + 2*b = b. Solve b*u + 20 = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3142 + -1021403?\nAnswer: -1013211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.6, 7\/137, -4\/7, -14.9?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251 + -107. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 5:27 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 6*t + 5*t = 8, -2*m + 5*t = -24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10753 + 26480. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 11) in base 16?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 1. Let k(t) = -6*t. What is -k(b) + 4*x(b)?\nAnswer: 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -642\/11 - -2095\/44. Find the common denominator of -115\/12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -3\/2*t**2 - 1\/8*t**4 - 1\/30*t**5 + 0*t - 3 - 1\/6*t**3. Let c(i) be the second derivative of j(i). Factor c(n).\nAnswer: -(n + 1)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3995636?\nAnswer: 2, 998909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 59*g**2 + 526*g - 428. Give t(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 6 - 28 - (-6 + -24).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 877005 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332 = 53*n + 226 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 39\/2, 1\/5, 1\/7 in ascending order.\nAnswer: -18, 1\/7, 1\/5, 39\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 - 5*r**2 - 4*r - 4. What is the units digit of d(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*r + 1672 = 182, 0 = 5*f - 4*r - 3791. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*p - 13*p + 9*p to z + k*p and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -9.92. Let m = -42 - -42.42. Let o = i - m. Which is the closest to 0? (a) o (b) -0.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16345 - 15903. What is the third smallest value in n, -5, 19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/((h\/(h\/(h*(h**(-5)\/h*h)\/h))*h)\/h))\/(h**3*h*h\/(h*h**(-5))))\/((h\/(h\/h**1))**(-47)\/(h\/h**9*h**(-1\/3))) assuming h is positive.\nAnswer: h**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1022 (base 3) to base 15\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -63557118 times 4\nAnswer: -254228472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4)*2 - -143. Suppose 11*x + 49 - r = 0. Solve 1 = 4*j + x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/((-2)\/(-6)). Let n = -1.2 + 0.5. Let v = 1 + n. What is the closest to 0 in v, u, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1294, -2049, -2804?\n\"Answer: -755*q - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -18. Let x = a + 2.7. Sort 2\/11, -5, x in increasing order.\nAnswer: -5, x, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6 + 1993.8653?\nAnswer: 1982.2653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -12. Suppose -2*r + 62 = 2*j, 4*r + o - 76 = -2*j. Suppose 3*m - j - 16 = 0. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -12, -9, 4 in decreasing order.\nAnswer: 61, 4, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/12 + 6*w**2. Let x(p) be the first derivative of -1 + 0*p**2 + 0*p - 2\/3*p**3. What is c(x(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 73 - 70 - 33\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -83154*q - 2660931. What is t(-32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4648046 and 3686.\nAnswer: 4648046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24853.152s to minutes.\nAnswer: 414.2192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558, 1826, 3938, 6894, 10694?\nAnswer: 15338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + l + 5. Let d be n(0). Suppose -60 = -5*t + d*g, g = -3*t + 2*g + 36. Solve -2*a + 5 = -h + t, -2*h - 2*a - 10 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 99?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 11. What is the remainder when (-2 + 0)\/(-4)*40 is divided by o(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20898, 20933, 21000, 21105, 21254, 21453, 21708, 22025?\n\"Answer: a**3 + 10*a**2 - 2*a + 20889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1058*s**2 + 52*s + 31. Is f(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 22 = 5*u, -2*u + 4*h = u - 8. Differentiate 2 - u*q - 3 + 1 - 1 wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1015*d**2 - 810*d**2 + 3611*d**2 - 1239*d**2.\nAnswer: 547*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {z: 2, k: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157634850*p**2 + 311968601 wrt p.\nAnswer: -315269700*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, d: 2, b: 2}. Give prob of picking 1 e and 3 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24748 to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 154+-9752\nAnswer: -9598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-5) + 64 - 4?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7*z**2 - 3*z - 1. Suppose 4*t - 3*t = -3*o - 1, 0 = o - 1. Let q be n(t). Let d = q + -32. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -48*h + 27. Let x(o) = -46*o + 27. Let b(t) = 3*m(t) - 4*x(t). What is the units digit of b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1742286 to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151\/180 + -1\/180. Which is the biggest value? (a) v (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0255 - 71?\nAnswer: -a0306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*3*sqrt(13) - (sqrt(78) - (-2*sqrt(78) - sqrt(78)))\/sqrt(6)))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*l = 30895 + 455. Is l a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1423 - 8227 = -27*d. Suppose d*u + 36999 = 261*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from rreojo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.269 + -0.26900154. What is f rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 + 46*p**4 + 675*p**3 + 2650*p**2 - 15500*p - 105000.\nAnswer: (p - 5)*(p + 10)**3*(p + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19010 = -u - 5*k + 3*k, -u = -4*k + 18980. Round u to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -334*u**3 + 5*u**2 + 3. Let k(j) = 663*j**3 - 9*j**2 - 5. Give -3*k(m) - 5*o(m).\nAnswer: -319*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 384.1 - 386. Put t, 0.7, 2\/21 in increasing order.\nAnswer: t, 2\/21, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 5*d**2. Let a(s) = -s**3 - 2*s**2. Suppose -34*y - 9 = 112 + 49. Let m = 52 - 50. What is m*r(j) + y*a(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 59.5. Let l = 2888.2 - 2888. What is the smallest value in -0.5, l, n, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qecw when four letters picked without replacement from ccwepbweq.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26*2 - (0 - -1). Let g = i - 15. Calculate the common denominator of 8\/g + 433\/(-18) and 32\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 20. Suppose -10 = 5*n - z*n. Suppose n*y + 10 = 7*y. Solve 3*x - 1 = y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 11:33 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-2))\/(12\/(-24)). Suppose -r*p = -5*i, -4*p = 4*i - 2*p - 24. Suppose -40\/9*m**i + 0*m - 14\/3*m**5 + 2\/3*m**3 + 4\/9*m**2 + 0 = 0. Calculate m.\nAnswer: -1, -2\/7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383*k + 381*k = -5*g + 486, 2*k = -5*g + 474. Solve 94 = -s + g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x + 401 + 416 - 285 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.87 * -5.\nAnswer: 114.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 1:51 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 0.028?\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t - 2*t + 48*t**2 - 5*t - 50*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (88*v**3 + 19*v**3 - 7*v**3)*(0 - 1 + 0)*(-4 + 4 + 2)*(-1 + 2 + 0) as u*v**3 + w + a*v**2 + g*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1110988, -2221974, -3332960?\nAnswer: -4443946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140404010 + 3302?\nAnswer: 140412312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 26526*b**2 + 159092*b - 52. What is v(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 600503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*n*q**2*u + 5729*n*u - 4*q**2*u + 251879*u wrt n?\nAnswer: 10*q**2*u + 5729*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**3 - o**2 - 2*o - 1. Let d be n(-1). Suppose v - 7 - d = 0. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140775, 1, 2, -4 in increasing order.\nAnswer: -4, 1, 2, 140775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1348*x + 1521. Let p(n) = 2697*n + 3023. Let a(t) = -4*p(t) + 7*u(t). What is the derivative of a(k) wrt k?\nAnswer: -1352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197 + -193. Suppose -4*d + 6*f - 3*f + 2329 = 0, -3*d = n*f - 1753. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.403 and 42899194.\nAnswer: 42899196.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -788, -3076, -6898, -12260, -19168?\n\"Answer: -u**3 - 761*u**2 + 2*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 23 - 39*g + (-3 - 1 + 5)*(g - 2*g - 2*g).\nAnswer: -42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31162*s - 11 + 31162*s + 11 + 4772*s**2.\nAnswer: 4772*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 5*g - 7)*(-7 - 2 + 22 + (1 - 6 + 2)*(5 + 1 - 1))*(-4 + 2*g + 4) to the form i*g + j*g**2 + d and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457, -493, -513, -517?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615605?\nAnswer: 5, 123121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/(h**(-1\/2)\/h))*h)\/h)\/h)**(-18))**(-5)\/((h\/(h**(1\/3)*h))**29\/(((h\/h**7*h)\/h*h)\/(h**(-3\/8)\/h))) assuming h is positive.\nAnswer: h**(-5255\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*3\/150)\/(7*28\/(-490))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.7. Let k = 1185 + -1190. What is the nearest to 0.2 in k, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5\/4)*i**(-7)\/i*i)\/(i**(-2\/3))**39)**(-1\/12) assuming i is positive.\nAnswer: i**(-71\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*2\/52 - 4680\/(-338). Suppose 2*u - 2 = -11*q + k*q, 0 = q - 4. Solve 0 = -5*y - 3*s - u, 3*y + 4*s + 10 = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*i = 119*i - 549 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 10:22 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 134*f**5\/15 + 19*f**4\/12 + f**3\/2 + 287*f**2. What is the second derivative of d(p) wrt p?\nAnswer: 1072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -7. What is the units digit of (4 + -10)\/(3\/j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/330 and (-14444)\/828 + 10\/1?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u. Suppose u*j - 28 = -5*j - 4*d, -2*d - 22 = -2*j. Suppose 32 + j = 2*m. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a day?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-19 - 12) - -16?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 9*i - 612. Let o = -29 - i. Suppose -o = -4*q - 4*r, -58 = -q + 4*r - 2. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 79*b**2 - b. Let d be x(1). Let m = 8621 - 8694. Let l = d + m. Solve k - l = -9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + -51 - (333 - 297).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + (14 - (-7 + -4 + 17))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 50 - 46. Suppose 0 = -0*r - 3*r + p. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -4 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 540 and 13480.\nAnswer: 363960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 49860 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 15) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/5)\/p**(1\/8)*p**(5\/4)\/(p*p**(1\/2)\/p) assuming p is positive.\nAnswer: p**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0363? (a) 536 (b) -9 (c) -3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 743299 divided by -71.\nAnswer: -10469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 20*d**2 - 34*d + 34. Let k(g) = -18*g. Suppose 0 = o + 3, -4*y - 2*o = -0*o + 10. What is the remainder when n(18) is divided by k(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) - (-90)\/24. Suppose 0*v + v - 8 = -2*g, u*g - 4 = v. Solve -h = -k, 5 = -v*h + h + 4*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021419609 rounded to 7 dps?\nAnswer: 0.0000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x - 62. Let y = x - 97. Let c be (-21)\/28 - y\/4. What is the greatest common divisor of c and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 2*c + 1. Let s be i(3). Let t = -2 - -4. Suppose -a**3 + 0 - 1\/2*a + 1\/4*a**s + 5\/4*a**t = 0. What is a?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, c: 7, v: 7, e: 2, f: 1}. Give prob of sequence vfe.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 - 37 + 137)*(1 - h**3 - 1) + 3*h**3 + 0*h**3 - h**3 + (0 + 4 - 2)*(h**3 + 3*h**3 - 2*h**3) + 22 + 9*h**3 - 22.\nAnswer: -152*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 893 - 55 = 0. Calculate the remainder when k is divided by (-33 - -5)*4\/(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43, -98, -457, -1142, -2261, -3922?\n\"Answer: -18*r**3 - r**2 - 12*r + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -39*t**2 + 2*t + 1. Let g be (-1)\/((23 - 29)*(-2)\/12). Calculate z(g).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*w, 2*w = z - 137 - 274. Suppose z = 4*q + 2*d - 485, 5*d - 666 = -3*q. What are the prime factors of q?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4197772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34271264289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2847?\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 0*r**2 + 0*r**2 + (18*r**2 - 49*r**2 - 20*r**2)*(2*r - 5*r + r).\nAnswer: 103*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/58)\/(2\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 15, -2, 5, 0.5, 3\/19?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/12)\/(2\/12). Let j(r) = 2*r**3 + 13*r**2 + 11*r + 4. Let d be j(-8). Let k = 272 + d. Is k less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 1. Suppose z + 112 = 3*z. Let k(w) = -21*w + 310. Let y be k(12). Let m = y - z. Let l(f) = 2*f + 3. Determine m*l(a) - 5*s(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*c - 280*c - 14430 - 2680 = 665 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2 (b) -7 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k**2 - k + k)*(-2 + 3 - 3) + 0 + 0 - 2*k**2)*(-k + k + 7*k).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from vdkdvkkdvbk.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 18846?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (2\/(-5) - (-174)\/(-15)). Let w = 3162 + -12587\/4. Let z = w - k. What is the third biggest value in -3\/8, 0.5, z?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/18 + (-6)\/(-27). Suppose 2*s + 11 = t*s. Let o = 880 + -869. Calculate the highest common divisor of s and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 - 68*u + 358. What is l(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 11*f + 18. Suppose 7*j + 63 = -0*j. Let r be u(j). Solve -d - 2*l + 1 = 2*d, r = -d - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 2 + m**3 + 4*m**2 - 2*m**2)*(-24*m - 21*m + 3*m)*(5 + 0 - 4).\nAnswer: -84*m**4 - 84*m**3 + 84*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4530 > 3555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 63. Let f be w(-39). Let q = f + 73. Calculate the remainder when 166 is divided by q.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 1299 = -309. Calculate the lowest common multiple of 12 and r.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*o - 25 + 285 = 0. Solve 5*t + 5*v + o + 0 = 0, 25 = -5*v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50184 = 2*k - 18*k - k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhphphhhpphhhh. What is prob of sequence hh?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 423 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -179572704 divided by 524?\nAnswer: -342696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 o when four letters picked without replacement from {o: 6, r: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 928\/(-288) + (0 - -1) + 2. What is the closest to 4\/7 in 3\/7, -3, 11, v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 12*t = 4*a + 48, -24*t + 3*a - 780 = -0*t for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/94)\/(2\/4) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1234374 - -840.56\nAnswer: 1235214.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.96 + 3. Which is the third smallest value? (a) 4 (b) 0.4 (c) p (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2627 divided by -5?\nAnswer: 2627\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 3*g**2 - 9*g**2)*(-5 - 8 + 2) + (-g - 6*g + 5*g)*(g - 6*g + 4*g).\nAnswer: 123*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10140?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 11*g + 2. Let o be i(-11). Let w(n) = 22*n + 2*n**o - 21*n - n**2. Suppose 4*k + 6 = k. Determine w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - u = -9, -j + 2*u - 2 - 1 = 0. Suppose -h - 3*h + j*i = -29, 3*h + i - 12 = 0. Let y = -5 + 8. Solve -w + 3 = -s, -h + 2 = 3*s + y*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaj when three letters picked without replacement from {a: 1, j: 13, x: 3}?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10*b = -15*b + 1, -q + 5*b - 9 = 0. Is -233\/56 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, o: 3, p: 1, f: 1}. Give prob of picking 1 p and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 16*y**2 + 2*y + 172. Let d(z) = 3072*z. Calculate s(d(h)).\nAnswer: 150994944*h**2 + 6144*h + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:52 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 2:07 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -20. Suppose a = 10*f - 5*f + 115. Round f to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/6 or 9?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - 1) + -24 + 13 + -12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x**3 - 4*x**2 + 4*x - 4. Let d(p) be the first derivative of -5\/2*p**2 + 2*p**4 - 1 + 5*p + 5\/3*p**3. Determine 4*d(b) + 5*r(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 16*w + 4*w)*(4 - 2 - 4) + 148 + 16*w - 22*w - 127 as y + j*w and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*d**3 + 3*d**3 - 15 - 62*d**3 to y*d + t*d**2 + u*d**3 + r and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 7) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1792\/13 - -138. Let v = -8 + 11. Which is the closest to r? (a) 2\/13 (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236*1.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*79.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 p when three letters picked without replacement from rprpr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 6*y**2 - 5*y + 5. Let k be p(4). Suppose k*x + x - 360 = 0. Solve x*u = 18*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10810, -12368, -13926, -15484, -17042?\n\"Answer: -1558*i - 9252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 9*j**2 - 3*j - 12. Let f be (-2)\/((35\/(-30))\/7). Let z be w(f). Round z to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u*u**(-1\/4)*u)\/u)\/u*u)**(2\/31)*u**(-8)*u*u**(-9)\/u*u*u*u)**1 assuming u is positive.\nAnswer: u**(-861\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37690, -75415, -113160, -150925, -188710?\nAnswer: -226515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -255*g**4 + 2*g**2*p - 2837*p with respect to g.\nAnswer: -1020*g**3 + 4*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.43, -0.0408, 27 in decreasing order.\nAnswer: 27, -0.0408, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69\/5? (a) 1 (b) -2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:55 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n + 0*n**2 - 5 + n**3 + 2 - n**2 + 0*n**3. Let o be w(3). Calculate the greatest common factor of 42 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 i, 1 b, and 1 q when four letters picked without replacement from cicqiqiuiibiiiii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -19788*r - 70 - 71 + 536*r + 141 as m + o*r and give o.\nAnswer: -19252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2515.7 - 37098\nAnswer: -34582.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2. Suppose 11 = i + 3*r, -3*i - 3*r + 21 = 2*r. Let k(q) = 19*q**2 - q**2 - 33*q**i. Calculate g(k(o)).\nAnswer: -675*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -3*u + 32, 2*d = -0*d - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a + 59. Let n be j(-8). Suppose -4 + n = 3*d. Suppose -10 = 5*s, -d*q + 3*s - 12 + 688 = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - -3) + -3 - (19 - (-38 - (-12 - 36)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) -0.5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/25 - -1651\/75. Let a = 698\/33 - v. Let x = 0.1049 + 0.8951. What is the nearest to -1 in x, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -1, 1, 5466, -24, 2\/9 in increasing order.\nAnswer: -24, -1, 1\/6, 2\/9, 1, 5466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6746 is divided by 1348.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*j - 20 = 0, -3*t - 4*j + 9 + 6 = 0. Solve -q = t*k - 2, -2*k = -4*k - 4*q + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48914.35cm to micrometers.\nAnswer: 489143500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-3) - -2*2. Let v(z) = -4*z + 5*z + 13*z + y + 0. What is the remainder when v(2) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/4201074 and -133\/494244.\nAnswer: 8402148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 49 - 47)*(0*k - k - k).\nAnswer: 68*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9790678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3023608 and 296.\nAnswer: 111873496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11908, -11690, -11472, -11254?\n\"Answer: 218*z - 12126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 1 = 12*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 0 - (-8 - (5 - 14))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 3\/((-18)\/(-102)). Let u(b) = b**2 - 12*b + 2. Let o be u(9). Let r be o\/75 - m\/(-6). Solve -12 = 4*h + r*v, 2 = -h - 3*v - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 668 = -25*q. Let b = -153 + q. Solve 11 = -5*i - b, -5*d - 5 = -4*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkdhhaa. Give prob of picking 2 d and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-8 - -5) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*r + 2*r + 54 = 0, -2*u = -5*r - 36. What is the least common multiple of 20 and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 12. Let r(d) = -5*d + 40. Let z be r(-6). Suppose 3*o - z = 5*v, -v = -o + 33 - 7. Suppose 5*q - o = 5*s, -3*q + 7*s = 3*s - 15. What is a(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/6, -4.7, -3 in descending order.\nAnswer: 1\/6, -3, -4, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 38*f + 169. Let z be k(-32). Which is greater: z or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199 (base 12) to base 15.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -177359*330\nAnswer: -58528470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.211272 - -0.491319. Let x = w - -0.72. What is x rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699026224.\nAnswer: 2, 13, 3360703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2657, 2652, 2647?\n\"Answer: -5*d + 2662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46542173 is divided by 5619?\nAnswer: 5615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/67)\/(-36)*-2.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*n, -5*n = -x - 20 + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 248\nAnswer: -13\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*d = -20, 5*d - 22 = -2*l - 2*l. Let p(j) = -2*j + 0*j - 4 + l + 3 + j**2. Let w be p(2). Solve 2*f + 2*z = -2, 0*f - 18 = 2*f - w*z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 16. Let f be r(-10). Let p = 4 - f. Suppose p = -2*b - 4 + 112. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*j + 19. Find the second derivative of -2*u**j + 4*u**5 + 15*u - 10*u wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207 + 208. Let w = -36 - -145\/4. What is the nearest to l in w, -2\/9, -13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 808\/13 - 62. Let h = 0.2 - 0.1. Which is the nearest to 0.1? (a) h (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/16*4 + 13. Suppose 2 = 3*c - 0*c + 2*x, 0 = -2*c + 5*x + t. Sort c, -2, 1 in descending order.\nAnswer: c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22199, 88816, 199845, 355286?\nAnswer: 555139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 6. Let h be x(-4). Suppose -3*o + 5*d + h = o, d = -4*o + 14. Factor -2*m**3 + o*m**3 - 4*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 5*d + 10. Suppose 2*h - 4*z + 7 + 27 = 0, 4*z = -5*h - 15. Let k be g(h). Let y be k\/(-10) + 18\/(-20). Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*p - 30*p - 1585 = 131 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 1:49 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1ab3a + -6?\nAnswer: -1ab44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/972 and -73\/36?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18204565 and 114?\nAnswer: 109227390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1068 and 2664.\nAnswer: 3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from dtlsslgdrgdrsgdrtr.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by 12.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + -0.1. Let u(p) = -2*p**2 + 22*p - 48. Let b be u(9). Let j be b\/3 + 290\/70. What is the biggest value in 0.2, j, d, 0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -53497645794.\nAnswer: 53497645794.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 0. Let i = 17 + -20.7. Let j = i + -1.3. Sort 0.3, j, r in ascending order.\nAnswer: j, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 5, p: 3}. What is prob of picking 1 c and 1 p?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -200.9768 - 0.0232. Let l = b + 184.3. Round l to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19611 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, -124, 1.\nAnswer: -161, -124, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 99?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/111, -75, -5.\nAnswer: -75, -5, -5\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l\/l**(7\/3)*l\/(((l*l**(-1\/11))\/l)\/l)*l assuming l is positive.\nAnswer: l**(124\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = 0, -3*y + 5579062 + 780946 = 2*p. What is y rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*y - 176 = 169*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*9\/(-72))\/(2\/(-12))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30853?\nAnswer: 30853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:17 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 e when four letters picked without replacement from {m: 2, h: 11, e: 2}.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b\/(b\/(b**(-2\/47)\/b)))\/b)\/b))**24*(b\/(b\/b**22)*b*b)\/((b**(-3\/19)\/b*b)\/b) assuming b is positive.\nAnswer: b**(109106\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95051 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -2*w**3\/3 + w. Let o(h) = 2*h**2. Calculate c(o(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20))\/(((-20)\/(-70))\/((-60)\/21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - g**2 - g - 1. Suppose 19*h - 17*h + 2 = 0. Give p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 21 = 2*c, 5*c = -p - 7 - 8. Suppose 9*u = 10*u + 3. Which is smaller: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*a - 29*a + 30. Solve t = 3*t - a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/(6\/(-72)*4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 1. Let g(x) = -58*x - 2667. Let z be g(-46). Let f(k) = -9*k - 9. Give z*f(d) - 5*l(d).\nAnswer: -4*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 988, -5, 1\/7, -0.4 in descending order.\nAnswer: 988, 1, 1\/7, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 40*r**2 + 2*r + 2. Let k be l(-1). Suppose 0*j = 2*j - k. Let z = -4 + j. Solve v - z = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -9*n**5\/20 - n**4\/12 + 2*n**2 + 3054*n. Calculate x(2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1387*k**2 - 2756*k - 12. Give l(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5548525 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (495\/27)\/(40\/48).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-1250))\/((-18)\/3000).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 52 = 33. Let s(b) = 4*b**2 - 18*b**2 - h*b**2 - 10*b**2. Let j(x) = x. What is j(s(p))?\nAnswer: -29*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2)*(-12)\/(-10). Let r(t) = 15*t + 2. Let k(d) = -d. Let h(j) = -18*k(j) - 2*r(j). Is h(o) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 332 = 5*z - 28, -5*z = 5*k - 340. What is the remainder when z is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -277005005?\nAnswer: -277005011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 6*b**2 + 8*b - 5. Let s = 27 + -20. Let v be d(s). Solve -5*l = -v*l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1. Let q(j) = 6*j + 10. Let s(y) = q(y) + 3*v(y). Let f(r) = 1 - 5 + 2 - 6 - 7*r. What is 5*f(n) + 6*s(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(8\/9))\/a**(-1\/38) assuming a is positive.\nAnswer: a**(47\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2.93. Which is the second biggest value? (a) 5 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4 + 8750*g**3 - 2811*g**2 + 2 wrt g.\nAnswer: -48*g + 52500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + sqrt(45)\/(sqrt(18)\/sqrt(2)))**2.\nAnswer: 10*sqrt(5) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(1440) - (sqrt(1440) + ((sqrt(1440)*3 - sqrt(1440)) + sqrt(1440) - sqrt(1440)) - sqrt(1440))) + sqrt(10))\/sqrt(2))*6.\nAnswer: -66*sqrt(5) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 0 + 0 + (2*m - 3 + 3)*(2*m - 3*m + 2*m) + 0*m**2 - 3*m**2 + 2*m**2)*(0*m - 3*m + 5*m)*(0 + 2 - 4).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 327 + -335. Let m be (-836800)\/4*(-20)\/y*-4. Round m to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69*-2*(-244)\/366 is divided by 68?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6*k\/k**(-2\/7))\/(k**(1\/10)*k**(-3)) assuming k is positive.\nAnswer: k**(713\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -336\/13 + 1249\/78. Let c = -497 + 4963\/10. Let a = c - -6\/5. Find the common denominator of a and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 3*d**2 + 36*d.\nAnswer: -3*d*(d - 4)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -4, 8 in increasing order.\nAnswer: -5, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-7)\/(-2))*204\/(-238). Suppose -y*x = 7*x - 90. Calculate the highest common factor of 117 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*m**2 - 91*m**2 + 43*m**2 + (124*m - 832 + 832)*(-2*m - 3 + 3) as s*m**2 + n + c*m and give s.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and -31497.\nAnswer: -31496.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12402)\/2756*(-68)\/81?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 - u**3 - 2*u**3)*(2*u**2 + 2 - 2) + 4*u**5 - 4*u**5 - 4*u**5 + 5*u**3 + 4*u**5 - 5*u**3 + 332*u - 11*u**5 + 2*u**2 - 332*u.\nAnswer: -9*u**5 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.0666*-13\nAnswer: -0.8658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003413616 rounded to six decimal places?\nAnswer: -0.003414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 163*d - 349 + 177 + 172 - 25*d. Let r(s) = s**2. Determine r(n(a)).\nAnswer: 19044*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 385785 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.991 + 1.591. What is the smallest value in 0, -3\/8, r, -0.008?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 14*s**3 - 13*s**2 + 37*s + 2. What is the thousands digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 - 18\/((-90)\/11165) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3771471 - 3*i**2 + i**3 - 3*i**3 + 3771439 - 2*i in the form j*i**2 + h*i**3 + c*i + x and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**2 - 17285*t = 0.\nAnswer: -3457, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -67. Suppose t*q + 375 = 10*q. Calculate the greatest common divisor of 25 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/127 and 11\/2?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 1938 = 1966 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38256888.\nAnswer: 2, 3, 1594037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 - 81. Let y(a) = 2*a - 9. Let t be y(4). Let k be t\/((-1)\/(2 + 2)). Solve -k*g + 11 = -j + 2*j, -21 = j - b*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 9:08 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/(1*-4))\/(-2). Suppose -29 = -p - d, 87 = -p + 4*p - y*d. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 903 + -902. Let r(y) be the first derivative of -25\/7*y**3 - 12\/7*y - n - 30\/7*y**2. Solve r(p) = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.067 and -582897?\nAnswer: 39054.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*f - 5*a, -3*a = -0*f + 4*f - 21. Let w = 5 - 4. Solve f = -2*o - w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8333, 16666, 25011, 33374, 41761, 50178?\nAnswer: 58631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let i be 1 + 5 - (68 - 63). Which is the nearest to i? (a) 3 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 3)*(x - x - 2*x) + 0 + 0 - x - 7 + 7 - 18*x)*(28*x - 48*x + 34*x) to r*x + n + u*x**2 and give u.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 - 21016*k\/11 - 630354.\nAnswer: -2*(k + 341)*(k + 10167)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 118.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 5\/2, 3\/7, -2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898 = 4*h + 4*g + 874, -4*g + 14 = -h. Factor -72\/7*a**h + 24\/7*a - 2\/7.\nAnswer: -2*(6*a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391518767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*l - 20*l**4 - 32*l + (l**3 + 3 - 3)*(60*l - 84*l - 245*l) in the form i*l**3 + x*l**4 + k*l**2 + u*l + h and give x.\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -53. Suppose 0*w + 5*z = -5*w - 725, 0 = -5*w - v*z - 727. Let q = -64 - w. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4316*f + 4314*f - 4 - 8620*f. Let x(q) = 44*q**2. Determine s(x(i)).\nAnswer: 440*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001747 rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 968*s - 5001 - 28879 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125 by -1343.\nAnswer: -125\/1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12788, 12550, 12310, 12068?\nAnswer: 11824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-19692)\/(-108))\/((1 - -1)\/18).\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11379.7191 - -0.051\nAnswer: 11379.7701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(2 + (-3)\/2). Let r = 6 + -7. Let f be (-120)\/65 - (-1 + r). What is the nearest to 1 in o, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o + 0)*(-o - o + 4*o) + (-12 - 30 + 1)*(-30*o**2 + 122 - 122).\nAnswer: 1232*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -77*q**5\/20 + q**3\/6 + q**2\/2 + q. Let u be j(-1). What is the greatest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 0. What is the remainder when 8 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-3)\/12). Let k be 19\/y + 42\/28. Let p be ((-12)\/4)\/((-6)\/k). Let l(h) = -h**3 - 3*h**2 + 5*h + 5. What is l(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -o + 11. Suppose -g + 7 + o = 3*r, 5*g - 2*r = 40. Calculate the remainder when 17 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 2\/11 (c) 3\/10 (d) 1\/2 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*b - 16. Let u = -5 + b. What is the units digit of (u\/(-2))\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363219?\nAnswer: 3, 41, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 9*m**2 + 7*m + 24. Give z(-10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 + (-12 - 151 - -103).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 290090 divided by -58018?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)\/f**(-8\/5) assuming f is positive.\nAnswer: f**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 2\/9, 1, 18\/5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 13*m**2 + 13*m + 17. Let i be f(-12). Suppose -2*q + 1 + 0 = -y, 0 = -2*y + i*q - 3. Solve 1 + y = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let k(o) be the second derivative of o**5\/40 - o**4\/24 + 3*o**3 - 20*o. Let g(f) be the second derivative of k(f). Calculate g(s) - 2*l(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(45\/(-198)))\/((-1)\/(-6)). Let m = d - -138. Let x(j) = j**2 - 6*j - 4. Give x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69475674?\nAnswer: 2, 3, 167, 69337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*1*6\/(-4). Suppose -y*i = -6*i + 30. Suppose t + i = 2*w + 5*t, -16 = -3*w - 5*t. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*55.26091\nAnswer: 11.052182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.823 - -10.823. Let i = -8 + 3. Let a = 4.76 - 4.46. What is the nearest to q in a, i, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 13*r**2 - 314*r + 3019. What is d(21)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/150*(-580)\/58\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-47728)\/(-1413)*(9\/(-6) - -3). Suppose -4*d = 4*b - 7*b + 162, 0 = -4*b + 3*d + 209. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1404 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24, -90, -200, -354, -552?\n\"Answer: -22*d**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25536481?\nAnswer: 41, 103, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56524 = 9250*b - 72976 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 263, 264, 265?\n\"Answer: h + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 40*r**2 - 403*r + 1. What is v(-20)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 630?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 5*y + 2*y)*(-4*y - 5*y + 5*y) - 3*y**2 + 2*y**2 + 3*y**2 + 5 - 5 + 4*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/19 + -23\/38. Let f = 3\/44 + 79\/132. Let x = -3.7218 + 3.0218. Which is the closest to f? (a) l (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 647*k**3 - 7*k**2 + 6*k - 4. Let x be n(5). Let v = 47726 - x. What is v rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(2*sqrt(11) + -4 + (sqrt(11) - (sqrt(11) + 1)*-2))**2 - (sqrt(1584) + (4 + sqrt(1584) + 0)**2 + sqrt(1584) + -1)).\nAnswer: 200*sqrt(11) + 13575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/12 and 149\/184650?\nAnswer: 369300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**5\/150 - u**4\/5 - 12*u**3\/5 - 34*u**2. Factor n(x).\nAnswer: -2*(x + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3899, 7773, 11609, 15389, 19095, 22709, 26213?\n\"Answer: -3*a**3 - a**2 + 3898*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqhqqmkkfqtqtk. What is prob of picking 1 t and 1 q?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 3*y - y)*(1616*y + 2 + 182 - 1615*y) to a*y + w*y**2 + i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - r**2 - r + 1. Suppose -2*u + 3 = -u + f, 0 = -3*u - f + 19. What is the remainder when v(-3) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 15634?\nAnswer: -15626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0768271622 rounded to six decimal places?\nAnswer: 0.076827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 16*t**3\/3 + 317. Let g(s) = 4*s**2 - 5*s. Calculate g(j(w)).\nAnswer: 1024*w**4 - 80*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/6 - 425*h**4\/2 - 139285*h**3\/6 + 425495*h**2\/6 - 71340*h + 71552\/3 = 0. Calculate h.\nAnswer: -104, 1, 1376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3 + 37746*d**2 + 150945*d + 113202 = 0. What is d?\nAnswer: -12578, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 + 2124*o. Let l(i) = -72*i. Determine p(l(s)).\nAnswer: 20736*s**2 - 152928*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2. Let y(s) = -370*s + 5. Calculate o(y(g)).\nAnswer: -821400*g**2 + 22200*g - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/(8\/144). Calculate the greatest common divisor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/81 (b) -0.17 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2. Let u(x) be the first derivative of -20*x**3\/3 + 148. What is u(c(p))?\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/9)\/a*a)\/a**(-30) assuming a is positive.\nAnswer: a**(277\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w - 30*w - 9 = 0. What is the highest common factor of 7 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32025*p**4*u**2 - 4*p**3*u**3 + 2*p**3 + p**2*u**3 + 2*p**2 - 15168*p*u - 2*p + 2*u**3 wrt p?\nAnswer: -768600*p*u**2 - 24*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 53. Let t(i) = -3*i + 1355. What is 2*j(q) + t(q)?\nAnswer: -q + 1461","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3*(-13)\/(-104).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1832*q + 4468. What is a(3)?\nAnswer: -1028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3173.\nAnswer: 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-924)\/22)\/(1\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 11 - ((1 - 1) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -5.5313.\nAnswer: -16.5939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d + 4*j - 18, 0 = j - 3. Let n(i) be the first derivative of -6\/5*i**5 + 0*i**2 + 0*i**d + 3 - 3*i + 0*i**3. Differentiate n(q) wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000119583943 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + b - 15, 2*b - 39 = -5*s - 3. What is the remainder when 19 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053832 to the power of 1\/2, to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60\/(-170)*(28\/12 + -2). Which is the biggest value? (a) -1\/2 (b) w (c) 0.5 (d) 75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1047 + 191 = -370*b - 612 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7130)\/598)\/(-31) + 105\/(-91).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9) - 5420\/(-6). Suppose -5*y - 314 = -j. What are the prime factors of y?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308753 and 5660?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2. Let n(v) be the second derivative of v**4\/12 - 199*v**2\/2 + 5346*v - 2. What is n(j(p))?\nAnswer: 9*p**4 - 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(684) - sqrt(684))*-6 + 3*sqrt(475)*-5)*6)**2.\nAnswer: -129600*sqrt(19) + 3868236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/25)*z)\/z)**(-35)\/(z\/(z\/(z**(2\/37)\/z))*z*z**(1\/20)) assuming z is positive.\nAnswer: z**(959\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**3 + 5*j**3 - 7*j**3 - 12*j**2 as i + g*j + x*j**3 + u*j**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 2:22 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 17 + (8\/(-12) - (-11)\/3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 2*u**2 + 2*u - 1. Let r be p(-3). Factor h + 5*h - 2*h + 9*h**5 - 4*h**2 + 0*h**r + 6*h**4 - 11*h**3.\nAnswer: h*(h + 1)**2*(3*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-90))\/(15\/36).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193\/1550 + 3\/50. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 2, t: 2, r: 1, p: 1, h: 1}. What is prob of picking 1 j, 1 k, and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 3. Let d(b) = -3 + 8 - 4*b + 1. Let n(z) = -2*z**3 - 19*z**2 + 81*z + 714. Let a be n(-10). What is a*d(r) + 9*w(r)?\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12079 + 2963 = 2*c, -4*l = -3*c - 13664. What is c rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t**3 - 15*t**3 - 76*t + 2*t**3 + (-3*t - t + 3*t)*(3*t**2 - t**2 + 0*t**2) to i + a*t**3 + g*t**2 + r*t and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 99761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 102729, 205480, 308231, 410982, 513733?\n\"Answer: 102751*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = -24. Let n be 3*2\/4*c. What is the highest common divisor of n and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/494*552 + 15)\/(-2 - -5).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1739 + 1740. Which is the closest to -0.4? (a) d (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 6:06 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 68.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.93 to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1449, -1447, -1447, -1449, -1453, -1459, -1467?\n\"Answer: -k**2 + 5*k - 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohohorhrho. Give prob of sequence oor.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 3.5927.\nAnswer: -53.8905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 38*i = -40*i, 4*i = -x - 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/109089600 and -23\/12727120.\nAnswer: 763627200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 225, 505, 897, 1401, 2017, 2745?\nAnswer: 3585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 176*k**2 - 243*k + 12. Give u(3).\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 2:29 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*n + 0)*(-n**3 + 0*n**3 + 0*n**3) + 0 - n**4 + 0.\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*1*5*-5)\/(1*sqrt(10)*-5 + (sqrt(80)\/sqrt(2))\/sqrt(4)).\nAnswer: 25*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-353600)\/18564 + 4\/38 + -1 + 81\/133?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a7 (base 12) in base 4?\nAnswer: -10033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 63, 1066.\nAnswer: 3, 63, 1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0*h**3 + 11*h - 5 + 0*h**5 + 5\/12*h**4 + 5\/2*h**2 - 65\/21*h**7 + 0*h**6. What is the third derivative of k(y) wrt y?\nAnswer: -7800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13409 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 divided by -400317?\nAnswer: -215\/400317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 154575870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*z - 126*z**2 + 79*z**2 - 24*z.\nAnswer: -47*z**2 - 133*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((49\/(-7))\/(-84))\/(6\/(-16)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33.0339 from 25285.6307.\nAnswer: 25318.6646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, w: 1}. Give prob of sequence uu.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46276219, 185104881, 416485985, 740419531, 1156905519, 1665943949, 2267534821?\n\"Answer: 46276221*s**2 - s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2219904 divided by -3?\nAnswer: 739968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157 - 82. Suppose -7428*w + 859 = -7423*w - 2*t, 684 = 4*w - 2*t. What is the greatest common factor of w and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5 - 84578*t**4 - 1788274941*t**3 + 3576803620*t**2 - 1788444100*t = 0. What is t?\nAnswer: -42290, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 30051909.\nAnswer: 330570999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*x = 228*k - 122*k - 113*k - 362, -2 = 4*k + x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2355 and 15372.\nAnswer: 12067020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69029*q**2 + 86981*q wrt q.\nAnswer: 138058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2809.66653 to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/10 - 13\/(-2). What is the remainder when 58 is divided by 0 - n\/(-6)*9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16400075 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -266 greater than or equal to -266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 505629 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + 13*p**2 - 16*p + 17. Let h be o(5). Solve 4*q + q + 18 = -3*i, h = -3*q - 3*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73771248, -73771247, -73771246, -73771245?\nAnswer: -73771244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 + 2)*(-33 - 456*h + 923*h - 461*h)*(4 + 2*h**2 - 4) as j*h**3 + p + o*h**2 + b*h and give o.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 2*w**2 + 2. Let c be b(2). Suppose 0 = 9*i - 14*i + 10. Solve i*v + c*v = -12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 5967.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzuizuwkukizikzi. What is prob of picking 1 z and 1 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppcx when four letters picked without replacement from ppcypcppyxcpypx?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a937 (base 11) in base 8?\nAnswer: -125311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 538937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.033?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.040128 - -0.04. What is d rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - i + 3*i)*(8*i - 5*i - 18*i)*(16*i + 20*i - 10*i) as j*i**3 + l*i + h + z*i**2 and give j.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(2*z**2 + 0*z**2 + 4*z**2 - z**2 + 3*z**2 + 0*z - z + (2*z + 0*z - 5*z)*(-6*z + z + 2*z)) to the form p + l*z + t*z**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 29 - 9. Let x be (18\/15)\/(1\/h). Let b(q) = -q**2 - 8*q - 7. Let v be b(x). Sort v, 3, -5.\nAnswer: -5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 15. Suppose -m*x + s = -3*x + 2, 2*x = 4*s - 4. Let d = x - -8. Calculate the greatest common divisor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-220)\/275*15570\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -682.1804 - -682. Let g = 336.27 - 324.4804. Let f = g - w. Round f to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.8 + -5. Let h = 0.4 + r. Let o = h - 0.1. Which is bigger: o or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w - 16472 = -15230 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: bb1 (base 12) to base 15\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in 1, -2, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 + 0.3. Let a = z + 4.02. Let w = -3.999995 + a. What is w rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.153506 >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1939)\/(-7) + -3 + -8. Suppose 0 = 2*h + s - 1214. Is 79 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17226234 by 1914026.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 28 = 32. Suppose 76 = 4*r + b. Calculate the remainder when 27 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 382316 = 34*r + v, -5*r + 273088 = v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235206 and 1253?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 97*q**8\/168 - q**4\/24 + q**3\/2 - q**2 + 695*q. What is the second derivative of t(g) wrt g?\nAnswer: 3880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 77*s**2 - 43969*s + 45028. Give o(570).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -31*l**3 - 1125*l**2 + 3*l - 1125*l**2 + 24 + 2253*l**2. Is w(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-115)\/46 + 11\/2. Put -4, y, 2, 11 in descending order.\nAnswer: 11, y, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -96. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.76969 times 1.1?\nAnswer: -144.946659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a centimeter in millimeters?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -2414?\nAnswer: 2407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 43129477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + 0*n**3 + n**3 + (2*n**2 - 5*n**2 + 5*n**2)*(2*n + 3*n - 4*n) - n - 2*n - 47*n**3 + 46*n**3.\nAnswer: 3*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9619, 9635, 9661, 9697, 9743, 9799?\n\"Answer: 5*h**2 + h + 9613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1 + 2\/4. Let h = 435 + -176. Let b = h + -264. Sort u, 3, b in ascending order.\nAnswer: b, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**7\/630 + 7*f**6\/180 + 5*f**5\/36 + f**4\/6 + 140*f**2 + 2. Determine i, given that n(i) = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -0.08, -29, 7, 2 in descending order.\nAnswer: 7, 2, 0.08, -0.08, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 761805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:15 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207206158?\nAnswer: 2, 9539, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 849*x**3 - 426*x**3 + 5 - 3*x - 426*x**3 + 2*x + x**2 to the form g*x**2 + d + k*x**3 + i*x and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5865, -11719, -17573, -23427, -29281?\nAnswer: -35135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 5. Suppose 4*u - 32 = -5*a, 2*a + a - 9 = u. Suppose -a*q = -15*q - 22. Let k(w) = w**2 + 10*w + 26. Calculate q*k(s) + 11*z(s).\nAnswer: -2*s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 7*w**2 - 5*w + 7. Let y be l(-6). Let b be (-7)\/(-1) + -2 - 3. Suppose p = -0*p + b. Sort p, y, -4 in ascending order.\nAnswer: -4, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m - 3. Let t(i) = 19*i + 5. Let y(n) = -7*h(n) - 4*t(n). Let r be y(1). Let o = 32 - r. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13815 + -11338. Calculate the remainder when m is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 7. Let r be c(6). Suppose -2*l + q = -86, 2*l - 6*l = r*q - 158. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -10. What is the greatest common divisor of y and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0)\/d**(-1)*d**19*(d**2*d*d\/(d\/(d*d**(1\/2)*d*d)))**(3\/19) assuming d is positive.\nAnswer: d**(837\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 292 - 292.0407. Round o to three decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1041 - 6277\/6. What is the common denominator of -143\/6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20088.7*0.5\nAnswer: -10044.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 176954 divided by 88477\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7977 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.52 and -0.2.\nAnswer: -0.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:28 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.077655*-176\nAnswer: -13.66728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 13 = -17. Suppose 0 = 15*d - 10*d - l. Suppose 0*v - d*v + 73 = k, 54 = 2*v + 2*k. Calculate the remainder when 206 is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 544888 divided by 4.\nAnswer: 136222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21275556 divided by -12.\nAnswer: -1772963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -8 + -1 + -1. Let g be (-2)\/w*-1*6. Let u be 0 + 0*1\/g. Put 4, 2, u in descending order.\nAnswer: 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -345 + -822217?\nAnswer: -822563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2 + 6104*z + 664224 = 0. Calculate z.\nAnswer: -102, 1628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 15) to base 14\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 31*p**2 + 100*p - 16. Let u be k(-4). Calculate the highest common factor of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 60093086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127.4 + 212.3. Round s to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 23 - 127. What is the least common multiple of h and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -7 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 4*r - 2\/3*r**2 + 1\/4*r**4 - 3\/20*r**5 + 2\/9*r**3 + 0. Let j(b) = 0. Calculate b.\nAnswer: -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 2*g - 1. Let j be s(-2). Let k be j*(-4)\/(-4 + 0). Let y(c) = -2*c - 4. What is y(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73300, -293272, -659886, -1173130, -1832992, -2639460, -3592522, -4692166?\nAnswer: -5938380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 43*l**2 + 8*l + 14. Determine n(-2).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13 - 11)*(-53)\/2. Suppose -5*p - 32 = -4*a + 107, 0 = -3*a + 4*p + 103. Let b = h - a. What is b rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20584*m**2 - 6*m - 866.\nAnswer: 41168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3, -21, -75, -183, -363, -633, -1011?\n\"Answer: -3*w**3 + 3*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119927\/63486 + -1\/7054. What is the common denominator of (-2)\/66*190\/(-5) and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.22 (b) 15.4 (c) 2\/1869\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2310 and -139\/12474.\nAnswer: 62370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3169384 or -3169383?\nAnswer: -3169384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24426 and 966?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/3520)\/((-6)\/(20*(-6)\/(-12))*1).\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1100) - sqrt(11))*5 - (sqrt(891) - (sqrt(891) + (-4*sqrt(891))**2*-5)).\nAnswer: -71280 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1449 and 82350051?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, t: 9}. Give prob of picking 4 c.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7227 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*i - 1116 = 686 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1181 + 1424. What is the greatest common divisor of t and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 585501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 34*r + 2. Let f(p) = p + 5. Let y be f(-4). Is 18 a factor of c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 0*n + 6*n)*(-2 + 0 + 1) + (-1 - 3 + 5)*(-2*n - 3 + 3) + 3*n + 0*n - 4*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**4 - 472*r**3 + 1376*r**2 + 472*r - 1380 = 0.\nAnswer: -1, 1, 3, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5 - 1. Suppose -p*z = 3*g - 3*z + 9, -2*g + 5*z + 7 = 0. Let v be 14\/8 - 1\/g. What is the greatest common divisor of v and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.39.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 1, q: 8, h: 7, n: 2}. Give prob of sequence nhqh.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-17)\/6)\/17)\/((-18)\/4 + (-4669)\/644).\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -68623*p + 3911507. Give u(57).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*k + 240, 4*p = -2*k + k + 48. Suppose 1260 = 3*o - k. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (7 - (2 + 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -8 (b) 0.4 (c) -197 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 6. Let x be 3 + (-3)\/(3\/(-1)). Let p(w) = 2*w - 11. Let h be 7*(3*-1)\/(-3). Calculate h*l(c) + x*p(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1465, 6926, 16371, 29800?\n\"Answer: 1992*j**2 - 515*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -416676*u - 2500049. Give z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 30 + 27 - 91 + 4*n + n**3 - 7*n**2 + 3*n**2 + 35. Let i = 12 - 8. Suppose i*p - 6 = 6. Give r(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12426 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 3, u: 1, g: 2, t: 6}. Give prob of sequence grg.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18648, 149132, 503286, 1192944, 2329940?\n\"Answer: 18639*z**3 + z**2 + 8*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001100 + 3330?\nAnswer: 2011030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 370 and -6582.\nAnswer: -6212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 17*k - 816. Differentiate 282*t - 119*t - 4 - k*t wrt t.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**21\/(m\/((m*m*m**(1\/18)*m*m)\/m)))\/(m\/(((m\/(m\/(m*m**(5\/7)*m)*m))\/m)\/m))**(-2) assuming m is positive.\nAnswer: m**(3229\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 4. Suppose 7 = -2*c - 9. Let j be u(c). List the prime factors of 3*(j\/6 + 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, 1.8086, -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 1238. Let m(g) = -152*g. Determine m(k(n)).\nAnswer: 152*n - 188176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 7 = -4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = 2*j + 3*j, 3*c = -5*j + 38. Suppose 36 = -2*z + c*z. What is the greatest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89896.0755 rounded to the nearest ten?\nAnswer: 89900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1848)\/2970 - (-2)\/5\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227204.\nAnswer: 2, 79, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(((g\/g**(-1\/2))\/g)\/g)*g)**(-2\/43)\/(g\/g**(-1))**(-3\/19) assuming g is positive.\nAnswer: g**(125\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*q + 35. Let t = -18 + q. Suppose 0 = 5*o + 25, -2*f + 4 = -4*f - t*o. Calculate the greatest common factor of f and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503 (base 6) in base 13?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose 8 = -5*p + p - k*s, -p = -s - 4. Find the first derivative of p*x - x + 0*x + 1 + 0*x wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/(-6))\/(8\/12). Let t(v) = v + 6. Determine t(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3 - 88*t**2 - 652*t - 560 = 0. What is t?\nAnswer: -5, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -12*j - 18. Let q(o) = -8*o - 11. Suppose -16*r = -4*p - 12*r - 24, -3*p + 4*r - 19 = 0. Let c(u) = p*f(u) + 8*q(u). What is c(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n*n\/(n**2*n)*n)\/(n\/n**(-3\/7)))\/(n\/(n*n*n**(-2\/5))*n*n**(-7)*n*n))\/((n*n**(1\/9)*n)\/n*n**6)**(29\/3) assuming n is positive.\nAnswer: n**(-60073\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 26*l + 3. Let m be f(4). Suppose 4*s + 186 = 470. Let z = m - s. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*l + 2*l - 2, 3*j = -2*l + 6. What is the remainder when (-184)\/l*(-3 + (-30)\/(-20)) is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -22. Let n be -4 + (-11)\/(-4) + ((-45)\/(-20))\/9. Which is the nearest to 0.12? (a) n (b) -0.3 (c) x (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*v + 2032 + 2405. Calculate the remainder when v is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 4*j - 5. Let d be u(-5). Solve d = -2*z + 3*x + x - 20, -4*z - 2*x + 10 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406949?\nAnswer: 83, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003329839 to 5 dps.\nAnswer: -0.00333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - t + 2. Let v be j(1). Sort 3, 1, v.\nAnswer: 1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150851, 301699, 452547?\nAnswer: 603395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*y - 24. Suppose -5*a + 7 = -y. Let u = -12 + 22. Calculate the least common multiple of u and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934800 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (13 - 24)) + (7 - (8 + (1 - 3))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + -0.3. Let v = -1.96 - 0.04. What is the closest to 1 in r, v, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 11:49 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 6:27 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/33, 47, -33, 0, -2\/17?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141\/(50\/(650\/39)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r**3 - 24*r**3 - 112*r + 60 + 16*r**3 + 60*r**2 = 0.\nAnswer: 1, 3\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44703190 to the nearest 100000.\nAnswer: -44700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54333 - -71?\nAnswer: 54414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2450 + -2387. Suppose -a = -2*v + 3*v, -2*v = 4*a + 8. Let n be 2*(0 - 14\/a). Calculate the highest common divisor of s and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q + 12. Suppose -5*d + 5 = -3*t, -7*t + 2*t = 4*d - 41. Sort t, 2, q in descending order.\nAnswer: t, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/20*((-78)\/12 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + y + 1 - 0, -3*y + 13 = -t. Solve t*q + 2*q - 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(75) + 4 + 4.\nAnswer: sqrt(5)\/5 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (100\/12)\/((-59)\/(-177)) and 1385?\nAnswer: 6925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206430549.\nAnswer: 1206430549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3 - 10312*r**2 + 236162*r - 225852 = 0. What is r?\nAnswer: 1, 22, 5133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -12. Let l(z) = -4*z**3 - 2*z**2 + z + 1. Let p be l(w). Let r = p - -11. What is the highest common divisor of 51 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/10 and -20\/813.\nAnswer: 8130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (572\/77)\/(((-138)\/966)\/(4\/(-8))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.7721 + 0.0701. Let u = 0.002 + o. Let l = u + 4.76. Which is smaller: l or 4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -4. Suppose -3*d - 4*c + 189 = -9*c, 0 = -5*d - 4*c + 352. Calculate the smallest common multiple of i and d.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 964308576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-7 - -7 - 4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34503 = -6*w + 10197. Does 78 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -16, -20, -24, -28, -32?\n\"Answer: -4*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0259737 rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 347.48, 1 in increasing order.\nAnswer: -0.1, 1, 347.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 37. Let m = -16 + n. Solve 0 = -k + 3 - m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252393?\nAnswer: 3, 84131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2334 divided by -6.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 37770741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66 and -2.239?\nAnswer: 63.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from {q: 6, b: 3, k: 3, j: 2, y: 1, o: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) 118\/7 (c) -2\/11 (d) 0 (e) -23 (f) -5 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20010120020 (base 3) to base 8\nAnswer: -353570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h + 6*h**3 + 573*h**2 + 6*h**3 - 566*h**2 - 2 - h to the form d*h**3 + q + g*h**2 + z*h and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 5*u - 12. Let z be n(-7). Calculate the greatest common factor of 21 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**3\/3 + 7*y**2 - 78*y. Let s = -1 + -5. Is t(s) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 6 + 4)*(5*i + i - i)*(-10*i**3 + 98*i**3 + 9*i**3) to the form s*i + p*i**3 + c*i**2 + b + j*i**4 and give j.\nAnswer: -3395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 15 + 9 + 592656*y**2.\nAnswer: 592656*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 994, 1014, 1036, 1060?\n\"Answer: f**2 + 17*f + 976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44 + a98302?\nAnswer: a98346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r + 11*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.23 in 6, 65, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 10782504.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, y: 11}. Give prob of sequence xyx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 4*p**2 - 4*p - 5. Let m be o(5). Suppose 3*n - 3 = -m. Find the common denominator of 17\/16 and ((-86)\/(-20) - 0) + n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b - 9. Let p = 17 + -26. Let i(h) = h + 2. Let f(d) = p*i(d) - 2*z(d). Let j(n) = 23*n. Calculate f(j(x)).\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/792*5228\/(-19605)?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l - 35*l - 3023*l**4 + 3025*l**4 + 1 to the form s + w*l + u*l**2 + o*l**4 + t*l**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 plus 29822?\nAnswer: 29698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -16, -24 in ascending order.\nAnswer: -24, -16, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 - 5310*k + 15975 = 0. Calculate k.\nAnswer: -1065, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) -5 (c) -22 (d) -3\/2 (e) 17 (f) 0 (g) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - -94. Let u be -9*((-217)\/t - (-2 + 2)). Let s = -77 + u. Calculate the remainder when 44 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*q**3 - 278*q**3 - 12*q**3 - 63*q**3 - 401*q**3.\nAnswer: -577*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*o + 54*o + 16*o**4 + (2 - 6 + 3)*(1 + 2 - 1)*(o**2 + o**2 + 0*o**2)*(-o**2 + 3*o**2 - 4*o**2).\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(2448) + 0 + sqrt(2448) + (sqrt(2448) + 1)*-5 - (1*sqrt(2448)*-5 - sqrt(2448) - (-3 + -1 + sqrt(2448))))**2.\nAnswer: -960*sqrt(17) + 39268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**4\/12 - 11*m**3\/6 + 3*m**2 + 40*m. Calculate the remainder when 190 is divided by k(14).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30362 is divided by 937?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 1 (c) -1 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -54893?\nAnswer: -54892.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggkggkg. Give prob of sequence kg.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*z + 2*z - 28, 2*n - 24 = -z. Suppose -n*x - 260 = -6*x. What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*c + 39*c - 29 + 91*c - 217*c)*(7 - 2 + 1).\nAnswer: 72*c - 174","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20189 take away 0.4?\nAnswer: -20189.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 380503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 - 87860*b + 964922450 = 0. Calculate b.\nAnswer: 21965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.5*-0.5.\nAnswer: 3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 216704 or 216693?\nAnswer: 216704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 54431258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 19*z - 8. Let a be u(10). Let n(f) = 40*f**2 + 4*f - 41*f**a + 5 + f. Determine n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -1\/3, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 81*z + 142 = 82*z, -7*l + 243 = -z for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/3)\/((-11)\/99))\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 296048.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9291*o. Let i(h) = -h - 2. Calculate r(i(f)).\nAnswer: 9291*f + 18582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 129746, 129751, 129758, 129767?\n\"Answer: c**2 + 2*c + 129743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 113, 117, 123, 131, 141, 153?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**2 - 13*y + 6. Let c be 102\/10 - (9\/(-5) + 2). Let i be h(c). Suppose -4*t - m + 1174 = 0, -2*t + 4*m + m + i = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - i**2 + 3*i**2 + i**2 to h*i**2 + q*i + p and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 276, 548?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 524753?\nAnswer: 524754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -40, -25, 10, 71, 164, 295?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 112924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 4*w - 11*w + 82*w**2)*(2*w - 2*w - 3*w).\nAnswer: -246*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 8\/127, -64, -1, 2, 4, 0.2 in descending order.\nAnswer: 4, 2, 3\/4, 0.2, 8\/127, -1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3141*h + 138230. Give g(44).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 1452 + 1439 - 2873 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 - 960*q**3 - 2934*q**2 + 8736*q - 4845.\nAnswer: 3*(q - 323)*(q - 1)**2*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 5*a, -5*a + 35 = -11171*g + 11175*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 v when three letters picked without replacement from mfqfqvmv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3 + 41096*i**2 + 220589370*i + 96270371100 = 0.\nAnswer: -10035, -478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2301003 is divided by 6444?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 44376*o**2 + 78*o - 390. Let q be a(5). Round q to the nearest ten thousand.\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 280943942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2832 and 139\/408.\nAnswer: 48144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4369184, 4369180, 4369172, 4369160, 4369144, 4369124, 4369100?\n\"Answer: -2*s**2 + 2*s + 4369184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -74 (b) -2\/67 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**6\/16 + 3*z**4\/16 - 3*z**2\/16 - 7. Factor m(v).\nAnswer: -3*v*(v - 1)**2*(v + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 19. Calculate the greatest common factor of s and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 4:35 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)*u**(-7)*u*u)\/(u*(u**14\/u)\/u*u*u**(2\/11)) assuming u is positive.\nAnswer: u**(-1455\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + (-3772)\/(-246). Let c(y) = -y**3 + 20*y**2 + 12*y + 19. Let f(n) = n**2 - 1. Let d(h) = -c(h) + 5*f(h). What are the prime factors of d(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -33 (b) -5 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1774559 by 1774559.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 12*j**2 + 49*j. Let o be v(-4). Is (748\/(-4) + o)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 + 3)\/(-1)*1. Let y(z) = -z**2 - 11*z + 2. Let m be y(b). Suppose -m*d + 75 = -d. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - -16 - (27 - (-10 - 0)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 121 = -124. Calculate the remainder when 172 is divided by i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-140)*1*(-28)\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 242412743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -0.4 (c) 3\/2 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 9*x - 2. Let j be r(9). Let h be 4 + -2 - (-2)\/j. Does h = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-114)\/2)\/((-1)\/223)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*s - 22 + 8 + 14 to the form i*s + j and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47 and 6674.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*f**2 + 14*f**3 + 10*f**3 - 39*f**3 in the form t*f**2 + p + x*f**3 + o*f and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -183, 1\/10, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2530150, 2530149, 2530148?\n\"Answer: -m + 2530151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -1607 (c) -24 (d) 0.05 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -79.7 and 70.97.\nAnswer: -5656.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227929, 455598, 683267, 910936, 1138605, 1366274?\nAnswer: 1593943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 480\/662609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42254641673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 4*l + 2, -2*r - 28738 + 28732 = -5*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -164377.8 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -365*h + 363*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.071 - -1. Let c = -36.071 - a. Let h = -36 - c. Does 0 = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3545*q = 3540*q - 44, -2*t + 3*q = t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494774 - 164920 - 164930 - 164924 - n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/15029 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4)**38*m**(1\/12)*m**(-11)\/m assuming m is positive.\nAnswer: m**(1681\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-40)*(10875\/(-225) - -47)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-2362.99\nAnswer: -2362.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - z**4 + 2*z**3 - 4*z**2 + 1 + 2*z**2 - 4*z**3 + 2*z to i*z + u*z**3 + s + y*z**4 + l*z**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*r - 6*r**2 + 116*r + 106*r - 299*r + 0*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*i - 167 - 1482 = 0, -5*o + 7*i = -2719. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7224994 + 11*q - 7224994.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8145 and 22806?\nAnswer: 114030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 times 5?\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121 is divided by 657?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 4*x + 39)*(8 - 3 - 1).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1340213 + -1?\nAnswer: -1340214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/2691 + -113044\/29601. Find the common denominator of f and -12\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) 20 (c) -2\/3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9865187?\nAnswer: 9865187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z + 114*z - 23*z + 143*z + 3*z.\nAnswer: 211*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-4) + 5346\/36. Solve 0 = -g*q + 149*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5928*w**3 - 209*w**2 - 209. Let r(m) = -57*m**3 + 2*m**2 + 2. What is 2*i(s) + 209*r(s)?\nAnswer: -57*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5378\/9 + 600. Let v(i) = -2*i + 11. Let g be v(-8). Suppose -y = -g + 4. Find the common denominator of q and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - -1. Suppose x - 9 = -j - 0*j, -c = -5*x + 3*j. Suppose -13 = -x*p + 7. Sort -2, p, 3 in descending order.\nAnswer: p, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19560*v**2 + 1956*v**2 + 1 - 7325*v**2 + 26397*v**2 + 5*v.\nAnswer: 40588*v**2 + 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1761851 and 256788.\nAnswer: 63426636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-1)\/(-2)*(-47 + 43). Let n = -0.5 + 0. Which is the biggest value? (a) 0.5 (b) n (c) 23 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 139166, 278317, 417470, 556625, 695782, 834941, 974102?\n\"Answer: k**2 + 139148*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 241, -481, -1649, -3233, -5203, -7529, -10181, -13129?\n\"Answer: 5*d**3 - 253*d**2 + 2*d + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from sddddddsdd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2189664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5451560 (base 10) in base 14?\nAnswer: -a1ca12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 27790 = 7*p + 27745 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 372*v**3 + 354*v**2 + 1836*v + 1107.\nAnswer: 3*(v - 123)*(v - 3)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 453394 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 47 = 88. Let z(f) = -9*f - 1. Let b be z(-2). Let u = p - b. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - n = -13 - 4, -2*n - 5 = 3*p. Let h be ((-26)\/8 - p)*-20. Let c(a) = -5*a - a**2 + h*a. Let f(d) = 6*d**2. Determine f(c(t)).\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 108\/11*y**2 + 18\/11*y - 38\/11*y**3 + 0 = 0. Calculate y.\nAnswer: -3\/19, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 - 1118 = -h. Suppose -48*x = -43*x - h. Calculate the greatest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s + 3. Let a(b) = -b - 1. Let t = 916 - 393. Let m = t - 518. Give m*a(d) + j(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -f. Sort -2, f, 1 in decreasing order.\nAnswer: 1, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**3 - 961*w**2\/5 - 4489*w\/5 - 59 = 0.\nAnswer: -59, -5, -1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1573) + sqrt(1573) + sqrt(13) + sqrt(1573) + 0 + -5)*-1 + (sqrt(91) - -2*(2*sqrt(91) - sqrt(91)))\/((sqrt(7)*3 - sqrt(7))*4))**2.\nAnswer: -1345*sqrt(13)\/4 + 942293\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208777470 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 3*s - s)*(-375 + 47*s + 375)*(-4 + 2 + 0)*(4*s - 2*s + 0*s).\nAnswer: 564*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/210)\/(3\/9)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-1 - -1)) + 10 + 20. Find the first derivative of 13*r - 36*r - g - 141*r - 28*r wrt r.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwkkwwkwkwww. What is prob of picking 4 k?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**8\/10080 + u**7\/105 + 2*u**6\/5 + 48*u**5\/5 + 4*u**4\/3 - 5*u - 4. Let q(n) be the third derivative of v(n). Factor q(z).\nAnswer: 2*(z + 12)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1470302, -1470303, -1470292, -1470263, -1470210, -1470127?\nAnswer: -1470008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*k + k - 9, -2*r + k = 3. Is 6 a factor of (-6)\/((-2)\/(8 - r))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28044680 a multiple of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 629509 or 628829?\nAnswer: 628829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -366 + 54*b**2 + 207 + 172 + (-b + b - 2*b)*(-2*b + 0*b + 0*b).\nAnswer: 58*b**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114560615?\nAnswer: 5, 13, 1762471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426*a - 191808 = 402*a. Is 216 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 564*h - 10962.\nAnswer: -2*(h + 21)*(h + 261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2464 + 0.2536. Which is the biggest value? (a) 2\/131 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + s + 427 = 0, -962 = -2*x - s - 885 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101222 - 2002021?\nAnswer: -2111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 28*v - 11. Let a be r(6). Let c(z) = -2 + 1 - a*z + 154*z. Let h(p) = -p - 2. Let y be h(-4). What is c(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000100111111110 (base 2) to base 8.\nAnswer: 204776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j**3 - 4*j**2 + 28. Let x(k) = -12*k**3 - 4*k**2 + 28. Calculate -5*v(c) + 4*x(c).\nAnswer: 2*c**3 + 4*c**2 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**3 - 6*w**2 - 8*w**3 - 2*w + 16*w**2 - 19 - 5*w. Let h be t(9). Let f be (-2)\/2 - h\/4. Put f, -4\/7, -4 in descending order.\nAnswer: -4\/7, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5 + 0 - (15 + 5 + 10).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*u - 3 + 61 + 89.\nAnswer: -96*u + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkzk when four letters picked without replacement from kzkkkkkkzz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 22 + 134. Let r be 1 - (-2 - -1)\/((-3)\/4). Which is the closest to 2? (a) 1 (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 105 = 20*g + 7 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 9*q - 8. Let t be 1 + (-27 + -1)\/(-7). What is c(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17429 is divided by 755?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666483407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1706)\/(-238) - 8\/(-68)) + -12 + 5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 604 and 3437980382?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 794 = -4*z, 28*x + 5*z + 1990 = 33*x. Let w = x - 390. Calculate the greatest common factor of w and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*a - 761 - 124 = -173 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 458 + -680. Let h = q + 281. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005299300661 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -128, 0 in descending order.\nAnswer: 3, 0, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l**2 + 63*l - 2. Let q be j(-7). Suppose q*u = 39*u + 16. What is the third biggest value in 2\/5, -9, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (157\/1570*(-10)\/(-4))\/((-20)\/64)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dd (base 15) in base 2?\nAnswer: -1010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a**3 + a**2 - a. Let y be w(1). Let q = y + -11. Are q and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -50, -88, -136, -194, -262?\n\"Answer: -5*n**2 - 13*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -9\/8286326 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 155, 149, 143, 137, 131, 125?\n\"Answer: -6*b + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17368.3 weeks to minutes.\nAnswer: 175072464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 1806402?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (sqrt(171))**2*-1*1 + -4 + (sqrt(304) - (sqrt(304) + (sqrt(304)*-2*-4 - sqrt(304))))**2)*3.\nAnswer: -220890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 678 + -682. What is the third smallest value in -3\/2, 2, y, -2\/3, 1\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5))**(-35\/4)*q**(-15)\/(q*q**6) assuming q is positive.\nAnswer: q**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 16*v**3 + 327*v**2 - 1431*v - 1531. Give y(-24).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*n**2 + 22*n**2 - 46*n**2.\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/1 - (-4)\/2. Let v(c) be the first derivative of 4*c**3\/3 - 3*c - 2. Let s(f) = 3*f**2 - 1 + 256867*f - 256867*f - 2. Determine x*v(n) - 5*s(n).\nAnswer: n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1281.998 to the nearest 10.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5248127 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: Is 9111407861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 243 - 237. Suppose -q*v + 0*v = -888. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18591.\nAnswer: 3, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229756 - 229756 + 40*i.\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 - 5 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*k = 3*k - 12, 2*n - 3 = -k. Let y be n + 3\/(-3 - 0). Suppose -y*w - 12 = -4*w. Let r(m) = m - 10. Calculate r(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**4\/6 + 3*f**3\/2 - 131*f + 2. Let r(n) = -2*n**2. Determine c(r(p)).\nAnswer: 8*p**4 - 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s + 6. Let v(g) = 1770905*g. What is v(y(u))?\nAnswer: 14167240*u + 10625430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*i = 92*i + 40779148. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 11*x**2 + 5*x + 24. Let y be p(-10). Calculate the greatest common factor of y and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 2 - 2)\/1. Suppose -13 = -r - 8. Let h(l) = l**4 - 1. Let x(m) = 10*m**4 - 3*m**3 - 12*m**2 - 4*m - 5. Let c(v) = r*h(v) + w*x(v). Factor c(k).\nAnswer: -k*(k - 2)*(k + 1)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000622625 rounded to 7 dps?\nAnswer: -0.0000623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 41825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j**2 - 3 + 3 - 2*j**2.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59863114*l + 59863114*l - 3*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 2*a**2 - a - 6. Let q be x(3). Sort -2, -3, q, 1.\nAnswer: -3, -2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30\/7 - -307\/70. Let v = 7\/30 + r. What is the closest to v in -3\/4, 6, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 123? (a) -3\/13 (b) -0.1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 515486401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + 0 + -21 + 12 + (9 - 3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.32 + 4.32. Let q = s - -25.000057. What is q rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/90 + 13*o**5\/180 - 11*o**4\/72 + o**3\/9 + 17*o**2. Factor s(d).\nAnswer: -(d - 2)*(d - 1)*(4*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 2, q: 4, d: 2, n: 4, c: 1}. Give prob of sequence dr.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26424545891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 191080064?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**4\/12 + 5*o**3\/6 - o**2 + 101*o. Suppose -v - 3*j - 57 = v, 4*v - 3*j + 69 = 0. Let w = v - -15. Calculate q(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129784067*x**4 + 18218538*x + 2 wrt x.\nAnswer: 1557408804*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 70.679 * 41.6\nAnswer: 2940.2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -48015 times -3?\nAnswer: 144045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15)\/((-2)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2395?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -12, 4\/9, -2\/7, 56, 7\/5, 6\/11, 2.9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4\/18 - 11*l**3\/3 - 260*l - 1. Suppose h(z) = 0. Calculate z.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-11 + 7) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*m**3 + 225*m**3 + 228*m**3 - 678*m**3 + 11.\nAnswer: 2*m**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:51 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 5, y: 3}. What is prob of sequence py?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.64 + -24.36. Let h = t - -6. Let g = 19.3 + h. Which is the third smallest value? (a) 1 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 6:30 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 184.596+-0.2\nAnswer: 184.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*u - 5 - 7 = -81*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 780022 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: Which is the closest to 2? (a) -7\/4 (b) 2 (c) -28 (d) -0.2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.071? (a) -3 (b) 18 (c) 9\/7 (d) 1\/11 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -621674904*v**3 - 2*v**2 - 28690671*v - 2 wrt v.\nAnswer: -3730049424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/63897 and -17\/38.\nAnswer: 127794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 5592*g. Let b(j) = -2*j. Determine z(b(w)).\nAnswer: 4*w**2 + 11184*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 33. Suppose 3*v - 36 + 148 = -4*r, -5*r + 76 = -3*v. Let i = -17 - v. What is the highest common factor of i and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161510424 (base 7) in base 14?\nAnswer: 1640114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(100)\/sqrt(4))\/sqrt(5).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 4*s + 4*s)*((6 - 2 - 6)*(3 - 2 + 0) + 1027 - 742 - 1173).\nAnswer: -890*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (41 - (-21 - -53)) + (-14 - -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1274953\/379 + 3364. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (1 - 1)) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -7dd?\nAnswer: 7e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18355750 divided by -262225?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15 + 88*b**2 - 1 - 71*b**2 wrt b.\nAnswer: 34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95 - 105 - 242*w + 200)*(-2*w**3 + w**2 - w**2).\nAnswer: 484*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-5 - -7) + 9 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, g: 8, x: 2, y: 3}. Give prob of sequence xgy.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 5*n - 4 + 6 - 3*n - n**3. Differentiate o(f) wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223343?\nAnswer: 173, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1, -35, -76, -5 in decreasing order.\nAnswer: 3, 2, -1, -5, -35, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187.63 - -13.67. Let d = 201.31806 - h. What is d rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (90\/63 + -2 + (-278)\/77). Let 2\/11*g**3 + a*g**2 - 2\/11*g - 2\/11*g**4 + 0 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 7*j - 1. Let k be x(7). Let w = 23 - 29. Let a = w - -2. Sort k, a, 5.\nAnswer: a, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436247829 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/3 + 47*v\/3 + 502068 = 0. What is v?\nAnswer: -1204, 1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 1. Suppose 25*d - 28*d - 3 = 0. Let v be o(d). Suppose 3*l = 5*l - m + 3, -v = -m. Which is the closest to l? (a) -1\/5 (b) -1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 = -2*h. Suppose 0 = -a + 5*q + 230, -238 = -h*a + 5*q + 237. Does 35 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 481.34 from 3.\nAnswer: -478.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -929, -995, -1053, -1103, -1145?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -35. Suppose 0 = -b*x + 4*o + 28, 3*x + 4*o + 2 = -5. Let h(r) = -r**2 + 4*r + 3. Let f be h(4). What is the greatest common divisor of f and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + 1 + -5)\/(-2). Let a(f) = -6*f - 225. Let m be a(-38). Sort m, p, -2, 2 in increasing order.\nAnswer: -2, p, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*h + 1191 - 1826 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*a = 288*a. Suppose -l - 5*p = -18, -2*l + 4*p = p - 10. Suppose -7*g + l*g - 1850 = a. Round g to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.351 + 2.551. What is the nearest to 0 in 4, q, -0.53?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxkkxdbuhxbkbddh. Give prob of sequence kxbu.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6750660 divided by 14?\nAnswer: 482190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 17 + 3 = 0. Let t(d) = d**2 + 4*d. Let j(c) = c**2 + 4*c + 1. Let v(q) = l*j(q) - 5*t(q). Determine v(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 n when three letters picked without replacement from qoonnro?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:37 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1132 - 1205?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-5\/4)\/(q\/q**(-3)))**9)**(-2\/101))**(15\/4) assuming q is positive.\nAnswer: q**(2835\/808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r + 0*r - 3*r + r**4 - 2*r**3 + 126*r**2 - 2 + 69*r**2 to the form w*r + x*r**2 + v*r**3 + z*r**4 + q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-6\/5)*h*h*h*((h**14\/h*h*h)\/h*h*h)\/h)\/(h**28*h*(h\/h**17)\/h*h) assuming h is positive.\nAnswer: h**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {n: 2, l: 2, t: 4, z: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-55) + (-8)\/(-10). Let n(w) = -18*w + 26. Let z be n(x). Which is the closest to 1? (a) z (b) -4 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65590924 and 812.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 5 (c) -1 (d) -1\/56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t - 1. Let z(i) = 2*i**3 - 4*i**2 - 3*i + 4. Let k(v) = v**3 - v**2. Let w(b) = t*k(b) + z(b). Suppose -45 = 46*g - 61*g. Determine w(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 - 5417*y - 1579722. Determine w(-425).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 1. Let o(v) = 6*v**3 - 8*v**2 - 5. Let r(j) = -7*j**3 + 9*j**2 + 6. Let h(b) = n*o(b) + 5*r(b). What is the third derivative of h(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -50.\nAnswer: -50, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/15*325\/(-195).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7484, -14874, -22170, -29372?\n\"Answer: 47*i**2 - 7531*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93358 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*i - 2*i. Let x be i\/(-24) - 14\/(-6). Suppose 2*u - 1 = -5*g, 3*u - 27 - x = -2*g. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*z + 2510, 4*z + 1284 = 5*d - 1833. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**8*k\/(k*k\/((k*k**(-8)\/k)\/k)*k*k))\/(k*k\/k**(-2))**(3\/14) assuming k is positive.\nAnswer: k**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 30. Let v = 25 - n. Solve v - 2 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2358 + ((-1)\/(-2))\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q. Let i = 47 - 53. Let w(j) = -4*j - 20. Let f be w(i). Let u(p) = -f + 15*p**2 + 8 - 4. Give u(x(n)).\nAnswer: 135*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**14\/z*z*z**(2\/11) assuming z is positive.\nAnswer: z**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*n**3 - 44490*a*n**2 - 1439*a*n + 3*n**2*w + 11*n - 5*w wrt n?\nAnswer: -12*a*n - 88980*a + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176 (base 8) to base 9.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -44?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 + 3877340*m - 751688273780 = 0. What is m?\nAnswer: 387734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/4))**(1\/15)*((f*f*f**22\/f)\/f)\/(f**(-23)\/f))**22 assuming f is positive.\nAnswer: f**(10109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/1*5\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 13. Suppose -3*n - 62 = c. What is the tens digit of (128\/6)\/((-24)\/n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66385 and 1065?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 850 = 5*a - 63*a + 33*a for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -114\/5 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2\/(-14) + 318\/(-371) + -9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.167 + -11235461.\nAnswer: -11235460.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:45 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.1414, -4, -0.242.\nAnswer: -4, -0.242, -0.1414, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7692\/7 (b) 0.3 (c) -2\/9 (d) 0.029 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189410 and 4875?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46123, 46139, 46155, 46171, 46187?\nAnswer: 46203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apou when four letters picked without replacement from {p: 1, o: 2, s: 2, u: 1, d: 1, a: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + 191*b + 567. Calculate k(-62).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452*h = 466*h - 70. Let g = -30 - -21. Let j = g + 15. What is the lowest common multiple of j and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (((sqrt(30)\/sqrt(2) - sqrt(15))*-2)\/((1*sqrt(36))\/sqrt(12)))**2)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12857367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6294.896um to centimeters.\nAnswer: 0.6294896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 5*c - 3. Let d(a) = -3*a**2 + 10*a + 17. Let v be d(5). Let i(r) = 5*r**2 + 8*r - 4. Give v*f(y) + 5*i(y).\nAnswer: y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)\/f)**(10\/3))**(3\/8)*((f**2\/f)\/f)**17\/((f*f**0*f*f)\/(f**(2\/25)\/f)) assuming f is positive.\nAnswer: f**(-1943\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1. Let z(n) = 24*n - 2. Calculate 10*f(d) + 2*z(d).\nAnswer: 48*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**2 - 6*u - 12. Let q be z(-2). Does -16 = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/1050 and -49\/1401?\nAnswer: 490350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8761 smaller than 2\/1021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55470 is divided by 11034?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*s - 172 + 370. Let p(k) be the first derivative of k**2 + 21*k - 1. Let n(w) = -w - 10. Give s*n(g) - 4*p(g).\nAnswer: g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/65, -0.043 in descending order.\nAnswer: 0.2, -2\/65, -0.043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*a**2 + 36*a**2 + a**3 + 0*a**3 + 2*a**3 - 5*a**4 - 5*a**3 wrt a.\nAnswer: -120*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*y - 1 = 0, -2*d - 61 = -3*y - 48 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a factor of 2156044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046157 take away 15.14781?\nAnswer: -15.193967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -166*s - 1305. What is the remainder when o(-10) is divided by 98?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x - 8. Suppose -5*w - 2*v = -4*w - 6, -9 = 2*w - 3*v. What is l(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13727 and 25123?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 25*w - 173 = 0, -2*x + 5*w - 17 - 14 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - s = -1439, -24*s + 716 = a - 27*s. What is the smallest common multiple of 10 and a?\nAnswer: 7190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 38*q\/3 + 215\/3.\nAnswer: -(q - 43)*(q + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -14, -36, -66?\n\"Answer: -4*r**2 - 2*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8645547*h**2 - 4363834*h wrt h.\nAnswer: -17291094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 26 + 19*g - 4*g - 2*g**2)*(2 - 4 + 4).\nAnswer: -4*g**2 + 30*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 30, -5, 5, 3 in descending order.\nAnswer: 30, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34952 and 1224.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 350.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 4*g**2 + 5*g + 6. Let c be o(-2). What is the greatest common divisor of 60 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2504, 5267, 9872, 16319?\n\"Answer: 921*q**2 + 1583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 5*t**2 + 3*t**2)*(7 - 24592*t**2 + 50981*t**2 - 25385*t**2).\nAnswer: 2008*t**4 + 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16827 + -16822. Solve -2*h + 76 = -n*j + 49, -2*j = 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1219427768 by 11725267.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3 + (-2 + 5 - 2)*(3 - 3 + 1) + 2 + 1 - 5 + 4 + 0 - 2)*(-53*w**3 + 13*w**3 - 42*w**3).\nAnswer: -246*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 67*y**2 + 2*y - 1. Let j be k(1). Let m be (-2)\/(-3) - j\/(-6). Let z = 48 - 44. Solve 3*f = -4*l + z - 0, 0 = -2*l - 4*f + m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990\/18 + (-1)\/(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 472 and 936620.\nAnswer: 110521160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:57 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kffa when four letters picked without replacement from aaffffufuauakfaaa?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3141 + -2564?\nAnswer: -5725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3115.\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 910\/12141 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4*-6)\/(23070\/(-42295))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28694 = -3*c + 5*c. Suppose -3*b = 4*j - c, -b - 3570 = -3*j + 7187. Suppose -j - 9679 = -5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099000 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - (0 - 1) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -75039*c + 3 - 3 + 66376*c in the form k*c + z and give k.\nAnswer: -8663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144.851 - 449.759. Round u to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - -5 - (3 - 0). Suppose 5*x = -2*k - 67, 77 + 64 = -4*k - c*x. Let u = k - -165. List the prime factors of u.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 4. Let o be -1 - (b - (4 + -2)). Suppose -o*j = -3*n + 17, 6 + 0 = 3*j. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1829*m. Let x be d(0). Let r(q) be the third derivative of -16*q**2 + 0 - 7\/120*q**4 + x*q + 1\/300*q**5 + 1\/3*q**3. Factor r(b).\nAnswer: (b - 5)*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)*-3)\/(sqrt(176)*-6).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49232038 to the power of 1\/2, to the nearest integer?\nAnswer: 7017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2010 + 3537. List the prime factors of f.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 4*o + 5*o)*(12 + 1 + 0)*(-3 - 1 + 3).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 103*h**3 - h**2 - 9 - 102*h**3 + 1 - h. Calculate m(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9186158810\/32237 + 284957. Let s = 30721803\/1869746 - k. Let m = -21\/116 + s. Calculate the common denominator of m and 65\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 46 = -2*m. Let o(v) be the first derivative of -9*v**2\/2 - 9*v - 2. Let c be o(-7). Calculate the greatest common divisor of c and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2378.\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9))**(-44)*(h**6\/h)\/(h\/(h\/h**1)*h) assuming h is positive.\nAnswer: h**(115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, 19, 2\/187, 2\/11 in descending order.\nAnswer: 19, 1, 2\/11, 2\/187, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/61702 and -53\/804.\nAnswer: 24804204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m + 3*m + 2*j, 0 = m - 3*j - 9. Calculate the common denominator of ((-80)\/(-45))\/(2\/24) - m and -55\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -1 - 17. Let j be (i\/9)\/(1\/54). Let d = j + -29. What is the remainder when 11 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 84 = 3*n + 79, -4*n + 5*i + 16 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 - 6 = 0. Let v(z) = z**2 - 19*z + 67. Let k be v(5). Sort y, k, -4 in descending order.\nAnswer: y, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-51))\/((-5)\/3 + -2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 - 845 = -b. Suppose 6*a = a + b. Suppose 3*p - 43 = a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -168045?\nAnswer: 67218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 11:34 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f**(3\/4)*f)*f)*f\/(f\/(f\/f**14)) assuming f is positive.\nAnswer: f**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*(-16)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*m + 47, 4*m + 4*v = 86 + 2. Suppose 0 = -m*f + 17*f - 4. What is the common denominator of 179\/30 and 2\/6*(-5 - (f + -19))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)\/(s*s**(-6))*s**(1\/3)\/s*s**(-3))\/((s**(-1))**5)**(-38) assuming s is positive.\nAnswer: s**(-1129\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (23 + -24 - (0 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/6 + q**3 - 5*q**2\/2 + 16*q. Let w be y(1). Is (1\/1)\/(2\/(-1930)*w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**3\/2 + 9*s**2 - 399*s\/2 + 2175. Factor z(u).\nAnswer: 3*(u - 7)*(u + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -849.95 + 854. Let m = y - 2.65. What is the closest to m in -1\/3, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -11 + -163 + 130.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 66?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -10211 - 13117. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) -1\/6 (c) 1 (d) 30 (e) -26 (f) 5 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*x + 26, -3*d + x = -3*x - 17. Which is the nearest to d? (a) 12 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 + 58*m - 2. What is z(-29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (58 + (50 - 131)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2*(-8)\/(-6). Suppose 9*g = 4*g + 2*p + 10, -5*g + 15 = -3*p. Suppose 4*o - 13 = -u, 0 = -3*u + 7 + 8. Solve g*t + o*t = -d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l + 168 = 0. Let u = -23 + l. Suppose 2*h + 251 = 3*c + 89, 0 = -c + 5*h + 41. What is the remainder when c is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 7*v - 2191. Suppose -s - 4*h + v = 0, -3*s + 299 = -4*h - 704. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2637 by -48.\nAnswer: -879\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3958 - -3411. Which is the smallest value? (a) -5 (b) 2 (c) 4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8.2, 0, 8\/3, 0.184?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 5:43 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 33*j. Let z(p) = 4*p**2. Let c(r) = 9*r**2. Let o(i) = -i**3 + 11*i**2 + 2*i - 15. Let n be o(11). Let w(t) = n*z(t) - 3*c(t). What is w(f(a))?\nAnswer: 1089*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 286239 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. Let k(p) = 2*p**3 + 22*p**2 + p + 14. Let g be k(-11). Solve -s + a = 3*v - 10, 0 = -3*v - g*s + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-4) + 4\/16. Put 9, -5, w in descending order.\nAnswer: 9, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 456164 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -547263*l + 275546*l + 280597*l to the form d*l + s and give d.\nAnswer: 8880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11564 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 526*c**2 - 2*c**4 + 175*c**2 - 91*c**2 + 3*c - 2*c to o + v*c + d*c**4 + m*c**3 + b*c**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -1\/2 (c) -32\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 822*f**3 + 2917*f - 2970. What is the first derivative of i(s) wrt s?\nAnswer: 4932*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 4*g - 14*g)*(5*g - 4*g + 0*g)*(3 - 4 - 1)*(-3 + 3 + 2).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Suppose 2*t = -a*t + 4. Calculate the lowest common multiple of t and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2028867.9 months?\nAnswer: 1690.72325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 26 = -5*v - 1, 20 = 4*v. Suppose 18*b - 20*b + 570 = d. List the prime factors of b.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*w - 6, 3*g - 3*w - 4 = 8. Put -2, g, -6 in descending order.\nAnswer: g, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -41, 6, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -904, -1801, -2698?\nAnswer: -3595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18397 - -18.89\nAnswer: 18415.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195118 and 724.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j + 27. Let p(x) = -17*x + 43. Let f(k) = 5*p(k) - 8*u(k). Let a(s) = 13*s - 4. What is -4*a(g) + 18*f(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 15106*m - 679768. Let z be k(45). Factor -2*n**z + 24\/7 + 80\/7*n.\nAnswer: -2*(n - 6)*(7*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/2 - 23*w**3 - 28*w**2 + 207*w + 423\/2 = 0.\nAnswer: -3, -1, 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 1022777562819 - 1022777562819.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 212*t**3\/3 - t**2 + 23*t - 129. What is the second derivative of i(j) wrt j?\nAnswer: 424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -745636 (base 8) to base 5\nAnswer: -30424414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 424?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -234 * -11.8.\nAnswer: 2761.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 50 = 5*x, 7*x + 4*k - 49 = 2*x. What is the third derivative of -5*b**4 + 8*b**2 + 0*b**2 - x*b**4 + 3*b**4 wrt b?\nAnswer: -264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2372.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/15 + 32*a\/5.\nAnswer: 2*a*(a + 48)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -2\/13, -0.4, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 5. Let g = 9 + -5. What is the least common multiple of t(-7) and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 75036*c - 525448.\nAnswer: 4*(c - 18766)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 47. Suppose -3*z - 2*z - 170 = -5*d, 3*d - 96 = -3*z. Suppose 2*w - 3*v = -n*w + 59, -w - 2*v = -d. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (-93 + 29)) + -21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*v**2 + 12*v**2 - 50*v - 16*v**2 - 10 + 50*v in the form p + d*v + j*v**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/9 + 2882*q**2\/9 + 5770*q\/9 + 962\/3.\nAnswer: -2*(q - 1443)*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*w**2 + 21435 - 8*w - 21435 + (2 + 3*w - 4*w + 3*w + (2 + 2 - 2)*(-w - 5*w + 4*w))*(0 + 3 - 4)*(-2*w + w + 0*w).\nAnswer: 40*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 - 3*i + 2*i**2 + i - i - 3 + i**4 + 0*i**2 - 4 to g + f*i**2 + s*i**3 + a*i + r*i**4 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 1. Let s(f) = f**3 - 6*f**2 - 2*f - 5. Let r(c) = -s(c) - z(c). Let i(t) = 2*t**2 - 9*t - 89. Let o be i(-5). Calculate r(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = 30. Let m(g) = -19*g**2 + g. Let a be m(-1). Let l = i - a. Calculate the smallest common multiple of 6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/2, -19, -3.4, 0?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2. Suppose 3*p = 1257 - 12. Suppose -3*k + p = 2*k. Let q(a) = -39 + k - a - 44. Determine q(g(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18876 + 4304?\nAnswer: 24281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35580 is divided by 11847.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.88 - 0.12. Let s = q - -9. Which is the closest to -0.1? (a) 0.2 (b) s (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -291 - -293. Suppose -4690 = -8*v - b*v. List the prime factors of v.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -233.76?\nAnswer: -1168.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*f**6 + 118*f**5 + 4*f**3 + 15*f**2 + 13*f - 2 wrt f.\nAnswer: 1200*f**3 + 7080*f**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -556408 + 245375758\/441. Let j = 8\/49 + t. Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 1384\nAnswer: -7\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -16. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, g: 7, n: 1, f: 2, z: 2}. What is prob of picking 1 g and 1 d?\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*q + 35*q - 184 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3921899*a**2. Let q(n) = 106*n - 2. Calculate q(v(p)).\nAnswer: -415721294*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdztc. What is prob of sequence zzzt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 142, 140, 130, 106, 62?\n\"Answer: -n**3 + 2*n**2 - n + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5) - (-104)\/(-195).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 464 (base 14) to base 2\nAnswer: 1101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 - 35*q + 5. Let u(h) = h**3 - 6*h**2 + 34*h - 6. Give 5*u(a) + 6*x(a).\nAnswer: -a**3 - 40*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001011010110 (base 2) in base 16?\nAnswer: -72d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61 + 442*j - 70*j + 15 + 48 wrt j?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723921 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432263281.\nAnswer: 19, 22750699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from uayuraaecaeua?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7842883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -0.9, -4, -3 in descending order.\nAnswer: 25, -0.9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15996 is divided by 3189?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 1, 4, 0 in descending order.\nAnswer: 4, 1, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*u - 5 + 14, -u + 1 = 0. Let b(a) = a**3 - a**2 - a - 1. Calculate b(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g**2 - 10*g**2 - 3*g**2 - 8*g**2 - 5*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c + 12. Let s be 3 + -3 + c\/1. What is the highest common factor of 84 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 100\/(-60) + (-2288)\/(-12).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*h**2 - 174*h**2 + 85*h**2 + h**3 - 1 + 1 - h to g*h**2 + j*h**3 + o + c*h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-45) - 132\/(-5). Let k = h + 15. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d - 4. Let u be b(-7). Let a be -24*((-10)\/(-6))\/1. Let i = u + a. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 130*u + 680. Calculate y(135).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-1072.69768\nAnswer: -429.079072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -6?\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1655319*f**3*r**2 + 2*f**2*r - f*r**2 + 630802*r - 2 wrt f.\nAnswer: 9931914*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6032 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let f(k) = -73658*k**2. Give o(f(i)).\nAnswer: 5425500964*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -147\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3232641*g**2*i*o**3 - 7*g*i*o**3 + 56*g*o - 140*i*o wrt g.\nAnswer: 6465282*i*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 = -3*d - 0*d - 5*k, -226 = -2*d - 2*k. Suppose -3*w + d = -126. Suppose 2*p + 0*p + 5*s = 21, 0 = 5*p + 4*s - w. Is p <= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29932627 is divided by 481.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 11. Let g be r(8). Suppose -z = -t - 92, 0 = z - 3*t + g - 89. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -532293 and 29176.\nAnswer: -503117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 13) to base 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + (-11)\/((-33)\/(-12)). Find the second derivative of 4*n - 31*n**5 + 0*n**5 - 6*n**5 + 7*n**5 - u wrt n.\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**4\/5 + w**3\/5 + 7*w**2\/5 - w\/5 - 6\/5 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*l - 20*l - 6*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/40 and 39\/190.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -426 + 424. Let l = -1271 - -1235. What is the smallest value in d, l, -1, 3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 39*v**6\/8 + v**5\/20 - 259*v**4\/4 + 642*v**2. What is the second derivative of i(g) wrt g?\nAnswer: 3510*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -46460?\nAnswer: 46462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 * 600\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**4\/8 + 17*l**3\/6 + 2*l**2. Let w be v(4). Let t = -4 - 1. What is the biggest value in -2\/7, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31 + 1094 - 7*d**2 + 11*d**2 - 4*d**2 + 3245*d**3 wrt d.\nAnswer: 9735*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - -0.42. Suppose 0 = -2*w - 3 + 5. Which is the closest to w? (a) h (b) 2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -1)\/(2 - 3). Let h = 1 + z. Suppose h*b + 10 = 8*b. Solve 4*g - b = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukk when three letters picked without replacement from {k: 5, u: 1, g: 5}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 7. Let x be j(5). Calculate the remainder when 6\/(3\/(15\/10)) is divided by -3*(-1)\/3*x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108525?\nAnswer: 3, 5, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*f - 35*f + 9 = 84 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2330 = 4*y + 2*g, -4*y = 2*g - 2334. What are the prime factors of y?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8973 + -1?\nAnswer: 8972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + 6*(sqrt(17)*4 - sqrt(17))))**2.\nAnswer: 3600*sqrt(17) + 138100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 10 = -34. Let y be d - 9*4\/12. Which is bigger: -62\/7 or y?\nAnswer: -62\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 131479 = 4*w, 15*l - 11*l + 131488 = 4*w. What is the ten thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144\/(-15)*2830\/849\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (1 - (-12 - (-8 + -14)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10893*f**2 + 21787*f**2 + 710*f**3 - 10894*f**2.\nAnswer: 710*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(sqrt(104) - (sqrt(104) + (sqrt(104) - sqrt(104)*5) + sqrt(104)))\/sqrt(8).\nAnswer: -3*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*z - z - 37 = 0, -5*z = 4*k - 18. Suppose -l - 1776 = -k*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.541 * 40219.\nAnswer: 182634.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 733210?\nAnswer: 2199630","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n + 55*n - 1707 - 2229 = 0. Suppose 0 = l - 4*l + 75. Calculate the remainder when n is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -17. Let n be 6\/c - (-8972)\/12. Suppose 236 - n = -7*x. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 0*x = 14. Let s be 24\/(-4) + x + 12. Let u = 78 + -54. Calculate the greatest common factor of s and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0*k**2 - k + k**2 + 0*k**2. Let r be g(3). Suppose 4*y - 4 = 4. Calculate the highest common divisor of y and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-22268.\nAnswer: -2226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3887086526?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 + 8*u + 76\/5.\nAnswer: (u + 2)*(u + 38)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 482 and 165320973.\nAnswer: 165321455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9694 divided by 4847.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4 - 8 + 7*i + 12. Let w(d) = 4*d + 0*d - 3*d. What is w(l(y))?\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6099 + 1.919918. Let d = l + -0.31. What is d rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-2*(-8)\/120*81\/(-54).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and 8.493.\nAnswer: -603.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132130188?\nAnswer: 2, 3, 17, 215899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**3 + 3*h**2 + 4*h - 9. What is r(2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 10. Suppose -8*t = -0*t + 112. Let y(s) = -s**3 - 14*s**2 + 3. Let i be y(t). Solve -2*w = d - l*d + 14, i*w + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 584 and 2993.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 3. Suppose -7*j = -19 - 9. Calculate the least common multiple of d and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -14 - 33) + 12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52080 (base 14) in base 6?\nAnswer: 4123104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -31 + 8 + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 (base 14) in base 16?\nAnswer: -40f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 2\/15*g**5 - 1\/12*g**4 + 0*g + 1\/6*g**3 + 3*g**2 + 0. Give k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 t when four letters picked without replacement from {m: 4, t: 4, c: 11}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (1 - (3 - 1)) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15848.\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*w - 396*w = -k - k - 123, -3*k - 5*w = -1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -21*b + 16. Let t(d) = -127*d + 99. Let h(k) = 19*i(k) - 3*t(k). Calculate h(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68295 and 3591846?\nAnswer: 520817670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119.6 + -119.5. Which is greater: 2444 or t?\nAnswer: 2444","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.6362ml to litres.\nAnswer: 0.0586362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(167*j**2 + 0 + 8*j - 172*j**2 + 3).\nAnswer: 15*j**2 - 24*j - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (-2 - -1))*1. Suppose 0 = z + n*z + 12. What is the tens digit of (z + -3 + 3)*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64*-77852\nAnswer: 4982528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 116*u**3 + 45*u**2 - 14*u + 13. Determine j(2).\nAnswer: 1093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 + -42240?\nAnswer: -42151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*l**3 - 1035*l**2 - 1593*l - 832*l**4 - 486 + 400*l**4 + 417*l**4 = 0 for l.\nAnswer: -9, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m + 491 - 491)*(-266*m + 133*m + 132*m) to the form u*m**2 + n*m + f and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 2. Let q be l(0). Suppose q*a + 2*a - 88 = 0. What is the lowest common multiple of a and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -126351 and 733.9?\nAnswer: -92728998.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v + 0*v)*(4 - 2 + 0)*(-10*v + 10*v - 3*v**2).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 3:56 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tthtethehh. What is prob of sequence eeh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 6093365642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 422793127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5\/3 + 2*h**4 - 16*h**3 + 56*h**2\/3 = 0.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 4*q + 92 + 17.\nAnswer: 4*q + 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 25 = -o. Suppose 0 = p - 9 + 17. Let x be (-5)\/(2*4\/p). What is the greatest common factor of o and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53252211 - -2324?\nAnswer: 53254535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 451799.46 microseconds?\nAnswer: 0.00012549985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 63 times 938918\nAnswer: 59151834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1018 in -1, -2.6, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 630, 990, 1608, 2484?\n\"Answer: 129*l**2 - 27*l + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6049 - -6063. Calculate the remainder when 288 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 0.1 (c) -0.3 (d) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 287745 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: Solve -3190 - 5385 - 228 + 2076 = -961*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1700) + sqrt(1700) + 1 + 1 + -1 - (5 + 3 + 0 + sqrt(1700))) + 3.\nAnswer: -7 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + sqrt(1900) + sqrt(1900)*-2*-6)*-2)**2 - ((sqrt(1900) - (sqrt(1900) + sqrt(1900) + 1 + 2)) + sqrt(1900) + 0 + -4)**2.\nAnswer: 1489551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211020 - -110?\nAnswer: 211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256616 and 3208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4490.2 to the nearest ten.\nAnswer: 4490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3374*s**2*t**2 - s**2 - 2*s*t**2 - 6517*s*t wrt t?\nAnswer: -6748*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 3, 0, -36 in decreasing order.\nAnswer: 4, 3, 0, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*q - 12. Let r be ((-26)\/104)\/(7\/q). Which is the second biggest value? (a) r (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*7*10\/(-1120)*(2 + -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of -3 - 4*((-273)\/12 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11995 - 11569 + 33566 = -87*a + 11394 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3636267743?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide ((-2529)\/(-1124))\/(3\/7300)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73154 is divided by 7310?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75789*v**4 + 9*v + 1694752 wrt v?\nAnswer: -303156*v**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -34*(-36)\/(-1326) - 166\/(-39)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 549 and 5856.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35651749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 3399524.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/141 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 4. Let u be t(-7). Suppose -u*o + 5*v + 600 = 66, 726 = 4*o - 2*v. Suppose o = -4*p + 5*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 4*k - 1. Let l be t(-3). Let h(r) = -2*r - 7. Let g = -28 - -25. Let q be h(g). Sort l, q, 0 in increasing order.\nAnswer: q, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9832, 19663, 29494?\n\"Answer: 9831*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 3*p**2 + 2 - 98*p + 1 - 1.\nAnswer: 3*p**2 - 108*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/((-3)\/6*-2). Suppose 5*u - 6 = w. Suppose c = -5*f + 15, 2*c - 1 = u*f + c. Solve p = -3, -5*s - p = -f*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w*w**1*w)\/w))**24)**(2\/33))**(2\/111) assuming w is positive.\nAnswer: w**(-32\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + (-1 - -2 - (20 - 24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {i: 1, w: 2, u: 1, x: 1, b: 1, d: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 27745*y - 55590. Give n(2).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u**2 + 8*u - 5. Let i(f) = 9*f**2 - 9*f + 4. Give 5*i(l) + 4*r(l).\nAnswer: 5*l**2 - 13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -40*x - 4. Let w(m) = -52*m**2. Determine w(n(v)).\nAnswer: -83200*v**2 - 16640*v - 832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/25*67\/1072)\/(4\/1160)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b0 (base 12) in base 11?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 8 = 2*i + i, 2*o + 2*i + 8 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w - 3. Suppose -34 = -13*h + 31. Suppose -h*z = 108 - 93. What is t(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5\/2 - 145*u**4\/2 - 5035*u**3\/2 + 15985*u**2\/2 - 8140*u + 2738 = 0.\nAnswer: -74, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -9 - (-15 - -19). Suppose -4*y = 4*l - 6996, 8777 = 5*y - p*l + 2*l. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 2. Let c(u) = 23*u**3 + 3*u - 3. Is c(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/360962 and 169\/154698?\nAnswer: 1082886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -15978*v**2 - 52*v + 15970*v**2 + 3*v**3 + 0*v**3 + v**3 + 24 - 3*v**3. Calculate l(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 28268 = -2*m + 10*m, -2*m + 7053 = -3*z. Is m a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/640)\/((-28)\/(-80)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345, -1344, -2989, -5280, -8217?\nAnswer: -11800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -991, -3928, -8815, -15646, -24415, -35116?\nAnswer: -47743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, l: 1, x: 2, u: 1}. Give prob of sequence xul.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1050*f**3 - 5*f**2 + 2*f - 28. Let x be c(-6). Round x to the nearest one thousand.\nAnswer: 227000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 2, 116240?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - (-2 - 25)) + (-15)\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5216686, 10433366, 15650046, 20866726?\n\"Answer: 5216680*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -66 + (20 - 7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3\/7, 96 in descending order.\nAnswer: 96, 3\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -371, -562, -753?\nAnswer: -944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -22 (c) 23 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 26*v + 16002. Let s = v - -2466. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*n**2*u - 6*a**2*n**2 + 6*a**2*u + 27*a*n**2*u + 3*a*n*u + a*u wrt a.\nAnswer: 4*n**2*u - 12*n**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 23362 + 23425 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 18 = 3*f. Let t = -11 - f. What is the highest common factor of 77 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3589, -3559, -3529, -3499, -3469?\n\"Answer: 30*s - 3619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + 0.94. Let t(r) = -5*r - 40. Let v be t(-8). Which is the third smallest value? (a) m (b) -1\/2 (c) v (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6527217012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -44, -4, -3.\nAnswer: -44, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7814 times 5?\nAnswer: 43.907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 5371 + 5371 + 30*p.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123188, 547, 1 in decreasing order.\nAnswer: 547, 1, -123188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6768369139 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86499 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 3, -0.3, -820, 0.2, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from prjhp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 2*i**6\/5 - 5*i**3\/3 - 9*i. Find the second derivative of q(d) wrt d.\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/4))**(5\/9)*g**(-4)\/(g**(2\/11)\/g))**(4\/21))**(-46) assuming g is positive.\nAnswer: g**(55430\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 4\/7, 4, 0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 78, 3 in ascending order.\nAnswer: 3, 11, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 890*y**2 - 39605*y.\nAnswer: -5*y*(y + 89)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 4. Let s = h - 2. What is the units digit of (-1)\/(s\/(-232)) - 3\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7946995 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 - 167.97. Which is the second biggest value? (a) 0.5 (b) -3 (c) h (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*s = -22, -16*x + 22 = -14*x + 5*s. Solve -2 = -j + 2*z, -5*j - x = 2*z + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(-26)\/(i*i\/(i*i*i**(-6))*i*i**(1\/3)*i))\/(i**(-3\/8)*i**(4\/3))**(-8\/3) assuming i is positive.\nAnswer: i**(-221\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 265420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*c - 2, 3*b + b - 3*c - 23 = 0. Suppose 13 = 4*x + b*j, 2 - 4 = x - 4*j. What is the units digit of x*(6 + 1 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 44 = -4*q, -4*a - 3*q + 2*q = -88. Solve -10 = -17*i + a*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1619574 and 954?\nAnswer: 4858722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 - 23*u - 15. Suppose 0*c + 2*c = 380. Calculate the remainder when c is divided by x(-7).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*x + 6, 5 = -4*p + 4*x + 1. Let a be (-1)\/(-4) + (81\/12)\/p. Suppose -8 = -a*u - 1. Is u at least as big as 2\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110122032 (base 4) in base 7?\nAnswer: -5111156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 - 426*g - 3875. Calculate v(-9).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - v - 40. Let c(j) = j**2 + 4*j + 12. Is 31 a factor of c(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1393.99999827 + -1394. Round x to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n + 1969 + 2071 = 636 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*v - 3*v - 4*v)*(4 - 3 + 1) - 4 - 5*v + 4)*(2*v**4 - 5*v**4 + v**4).\nAnswer: 18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148270423 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/4)\/(-3) - 6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h**3 - 25*h + h**3 - 2*h**2 + h**3 + 2 - 4*h**3 + 3*h**2 to o*h**2 + p*h + c*h**3 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + j**2)*(j - j**2 - 5*j - 2*j).\nAnswer: -j**4 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 307\/5, 1\/2, -805 in ascending order.\nAnswer: -805, 1\/2, 307\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 297757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 34 = 142. Let n be (-6)\/27 - (-3552)\/m. Let b = 93 + n. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*k*l**4 + 2*k*l - 1614*k - 55*l**5 wrt l?\nAnswer: 156*k*l**2 - 1100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 42 = c, 5*y - c - 102 = -0*c. Let v be 6\/y*10\/(-12). Let z = -1.79 - 0.21. Put v, 4, z in descending order.\nAnswer: 4, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/3 - 3502*a**4\/3 - 2503736*a**3\/3 + 2514232*a**2\/3 + 1671488*a = 0. What is a?\nAnswer: -546, -1, 0, 2, 2296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1706533, 1706523, 1706519, 1706521, 1706529, 1706543, 1706563?\n\"Answer: 3*d**2 - 19*d + 1706549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/7107680 and -73\/4960?\nAnswer: 7107680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**4\/4 - 3*t**2\/2 - 5. Find the second derivative of d(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 17.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -8. Let m = 5.373 + -0.373. Which is the nearest to h? (a) m (b) -1\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 142, 213, 282, 349, 414, 477?\n\"Answer: -m**2 + 74*m + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/98139 and -61\/117.\nAnswer: 3827421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/3 + 5*v**3\/3 - 11*v**2\/3 - 11*v - 6.\nAnswer: (v - 3)*(v + 1)**2*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2372, 4717, 7062, 9407?\n\"Answer: 2345*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33461 = -5*f + 2*y - y, -13390 = -2*f - y. Is f a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 12 = -369. Let t = u - 835\/7. Put -0.2, -1\/3, t in descending order.\nAnswer: -0.2, t, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 0, -293 in decreasing order.\nAnswer: 5, 0, -1, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80, -87, -98, -113, -132, -155, -182?\n\"Answer: -2*l**2 - l - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2 - 1340*w - 4056 = 0?\nAnswer: -3, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c*c\/c**(-3)))\/c*c)**(-20))**(-10\/19) assuming c is positive.\nAnswer: c**(-600\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 + 11*b + 1. Is y(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9603480 greater than -9603479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1111?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 39, 116, 60, 0, -8, -3 in increasing order.\nAnswer: -8, -3, 0, 4, 39, 60, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -17*p**2 - 55*p - 75. Give z(-4).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108.9 + -109.2. Let h be (-175)\/(-2)*(-20)\/25. Let s be 1\/5 + (-6)\/h. Which is the closest to -2\/5? (a) s (b) -3\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 282*d**3 - 36*d wrt d?\nAnswer: 1692*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 + 12108\/48 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from {g: 1, f: 3, y: 6, x: 3, v: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-10))\/(9\/18)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020 + 22?\nAnswer: 12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*t + 7, -4*k + 2*t = 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/297, -1, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-1 + -3) - 1. Put p, 0, 4 in ascending order.\nAnswer: 0, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**3\/3 - 2*b + 13. Let i be d(2). Suppose i*h - 233 = 3*l, 0 = -5*h + l - 2*l + 540. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (181 - 42 + 126)*(-2 - 1 + 1)*(3 - 4 + 0 + (-6 + 4 + 0)*(1 + 1 - 3) - 1 + 2 + 1)*(0*h - h - 2*h) in the form w + u*h and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**6\/120 - n**5\/10 - n**4\/4 + n**2. Let r(s) = 6*s**2 + 1. Let c be r(1). Is q(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -20, -58, -106?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17572151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 63*j**5\/10 + 53*j**2\/2 - 9*j + 4. Find the first derivative of x(s) wrt s.\nAnswer: 378*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 12*n**2 + 6*n - 5. Let c(j) = -11*j**2 - 6*j + 4. Let o(w) = 7*c(w) + 6*f(w). Let p(v) = 2*v + 1 + 5*v**2 - 4*v**2 - v. Calculate o(g) + 4*p(g).\nAnswer: -g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3)\/(((c\/(c**(-4\/5)*c*c))\/c*c)\/c)*c*c**(1\/8)*c**(-1\/2))\/((c*c\/(c*c**1)*c)**(-22))**(10\/11) assuming c is positive.\nAnswer: c**(2579\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -3, -2, -5, 6, -61.8?\nAnswer: -61.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876019 is divided by 3080?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 15. Let y be x(-22). Suppose -y*c - 40266 = -25*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(35)\/sqrt(5) - sqrt(7)) + sqrt(28)\/sqrt(36) - (sqrt(1008) + (sqrt(1008)*-3 - sqrt(1008)) + 0)**2.\nAnswer: -9068 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjhhjhhhjhjhjh. Give prob of picking 3 j.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - 2*i + 2*i + (1 + 2 - 5)*(3*i**2 - 3*i**2 + 6*i**3) - 24*i**3 + 4*i**3 - 30*i**3.\nAnswer: -61*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 14. Solve -28 = -3*c - j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/10)\/4*17\/119?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986842 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: Collect the terms in 47*r + 42*r - 186*r + 32*r + 40*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**2\/7 - 52849*y\/7 - 7550 = 0?\nAnswer: -1, 52850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -4 - 2) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + q - 11 = -2*m, -q + 1 = -2*m. Factor 22*g - 22*g + g**m.\nAnswer: g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 2*f**2 + 16*f + 10. What is p(6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/28*-2)\/((-3)\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105399 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.07 - 0.07. Let c = 2.4 - y. Sort -0.4, -0.3, c in increasing order.\nAnswer: c, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7102, 7097, 7092, 7087, 7082?\nAnswer: 7077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113\/4 + 493\/20. What is the common denominator of h and 69*(-1 - (-140)\/132)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f + 0*f)*(5*f**3 - 6*f**4 + 26*f**4 - 6*f**3).\nAnswer: 40*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 + 2*u - 2. Let w be 8 + -2 + (-8)\/4. Let f be (-48)\/(-21) + w\/(-14). Is 3 a factor of r(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*u**3 - 2680*u**2 - 172895*u + 24909475.\nAnswer: 5*(u + 95)*(2*u - 229)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*o - 3626 + 3626 - 3*o + 2*o + 3*o - 3 + 3 - o + (-2 + 2 + 1)*(-o - 4 + 4) - 4 + 4 + o.\nAnswer: -147*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25.3 * 65.86\nAnswer: -1666.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/(-450) + (-2)\/3.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 35057\nAnswer: 35082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/1868639?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 4. Let v be k(-6). Suppose 4*r = v*x - 56, -3*x + 74 = -4*r - 0*r. Solve 7 + x = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822778 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2685278326 rounded to five decimal places?\nAnswer: 0.26853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.7292 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 338574 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 906 and 151?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 - 157. Let c(i) = i**3 + 7*i**2 - i - 6. What is the remainder when h is divided by c(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*h**3 - 2 + 2 + 74*h**3 + (-3*h**2 - h**2 + 2*h**2)*(-h - 3*h + 2*h).\nAnswer: 111*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 7*x + 16. Let a be d(8). Solve m - 5*u = 17 + a, 4*u = 2*m - 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 90 = 166. Suppose 0 = -2*f - c + 113 + 87, 4*f - 402 = -3*c. Calculate the common denominator of 91\/8 and 2\/u*(f - 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 226 = 21*m, 0*m - m = 19*p - 38*p + 24*p - 3*m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 1866*g + 1867*g + 1857*g + 1866*g - 7461*g.\nAnswer: -5*g + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -42\/5*u**5 + 32*u + 1\/3*u**3 - 1\/6*u**4 - u**2 + 0. Let v be c(1). What is v rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1549*v**2 - 1302*v**2 - 308*v**2 - 4*v.\nAnswer: -61*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 184176911 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34783 - 0.05217. What is the closest to 0.205 in j, 2\/3, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17782)\/(-1)*(-2 + 34\/16). Let s = t + -2258. Let c = 36 + s. What is the second smallest value in 3, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 792 = 4*i. Calculate the common denominator of (i\/(-48))\/(-2 + 2\/(-5)) and 85\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 31562\/(-14) - 8\/14. Let r = c + 985. What is r rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2, -92, -5, -1101, -4 in increasing order.\nAnswer: -1101, -92, -5, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -10102222021221110?\nAnswer: 10102222021221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 18 = 5*o, 2*o = -5*d + o + 9. Let f = 3 - d. Let n(k) = -k**2 - k + 3. Let p(t) = 3*t**2 + 2*t - 8. Let r(u) = 8*n(u) + 3*p(u). Calculate r(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33518*c**2 + 4*c**3 - 33518*c**2.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*y = 2*b - 15, -5*b + 13 = -y. Let z(x) = 15*x + 4. Let g be z(b). What is the biggest value in g, 0.3, 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352710.\nAnswer: 2, 3, 5, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1963*n + 14884 = -55784 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 15*w - 52. Put -2, 3, w in ascending order.\nAnswer: -2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j - 71. Give b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 30 and 22059902226.\nAnswer: 22059902256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171648 and 466.\nAnswer: 39993984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 274, 272, 254, 214, 146, 44, -98?\n\"Answer: -h**3 - 2*h**2 + 11*h + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 225*k - k**2 - 113*k + 4 - 113*k. Calculate b(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*f + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117823 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12359143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10068828 divided by -924\nAnswer: 10897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4234927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 6:50 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1*-1279 + -2)\/(158\/(-158)) is divided by 183.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 708, 0.6, -5 in ascending order.\nAnswer: -5, 0.6, 8, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 3. Let g = -2.5 - m. Which is the smallest value? (a) 2 (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-1046874.854433\nAnswer: -1046874.954433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-390)\/(-75) + (-1 - (-5 + 21\/5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166423 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(144)\/(1*sqrt(8)))\/sqrt(9) - -3*(sqrt(2) + -1 + sqrt(2))*-4)**2*1.\nAnswer: -2760*sqrt(2) + 6010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(-18 + 21)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 19}. Give prob of picking 3 q.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*g + 4*m, 10*m - 12*m = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 130975963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5494\/5494*(-93)\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3 + 4 + 5*o**4 - 1 - 2 + 3*o - 3*o**2. Let m(i) = -16*i**4 + 10*i**2 - 10*i + 6. Let z(a) = -3*m(a) - 10*q(a). What is the derivative of z(d) wrt d?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 0 (c) -162\/5 (d) -2 (e) 1\/3 (f) -0.2 (g) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 3*h + 1. Let l be t(-3). Let g be -4 - l - (-1 - 1). Let y = 6 - g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8401\/9 or -934?\nAnswer: -934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3233 - 3233 + 340*n to the form c + g*n and give g.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8754 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and -245*(-29)\/(-145)*(-20)\/1?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52454630 (base 7) in base 12?\nAnswer: 1599b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2378.168 + 2338. Let g = 0.532 - k. Round g to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 - 5 + 4 + 1 + 1 + 138*s**3 + 83*s.\nAnswer: 138*s**3 + 12*s**2 + 83*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3483538.2us?\nAnswer: 0.0009676495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-1596)*(5 + 1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -409, 2, -3, -5 in increasing order.\nAnswer: -409, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -25*z**6\/6 - z**5\/60 - z**4\/12 - 2*z**2. Suppose 0 = 14*w - 10*w + 8. Let b be q(w). Round b to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, x: 1, t: 6, a: 3, b: 1}. Give prob of picking 1 t and 1 k.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.97 + 0.486470312?\nAnswer: -206.483529688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30867\/282744 + 6\/34*312\/(-468) and 71\/28.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + w = -20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -8, -12, 0 in descending order.\nAnswer: 0, -2, -3, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 14 + 12\/((-42)\/7). Suppose 8931 = w*x - 4192. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and 105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/13)\/((-15736)\/(-14612))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 8. Let t = m - 7. Solve -t*c = -c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b, 0*b - 5*b + 3 = p. Suppose 3*w = 5*r - 10, 4 = -p*r + 5*r. Factor -2\/9*u + w + 2\/9*u**3 + 0*u**2.\nAnswer: 2*u*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90954288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5\/19, 1\/516, -0.5, -6?\nAnswer: 1\/516","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 258*f + 4284. Let w be y(-15). What is the highest common factor of w and 8832?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v = 0, -3*z - 736 + 718 = 5*v for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 - (3 + 1) - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((33 - 60) + 19)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = i - 2*d, -86*d + 81*d = i - 34. What is the greatest common divisor of i and 1356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 4. Let o be (-210)\/(-40) - 2\/8. Let g(u) = -7*u**2 + 36*u - 9. Let b be g(o). Give m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**4\/4 + 8*s**3\/3 + 7*s**2\/2 - 4*s - 9. Calculate o(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - 15. Let w be q(-11). Solve 45 = w*v + 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 3. Let f be s(6). Let u(v) = -2*v - 18. Let d be u(f). Solve t + 3*t = d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/112 + -15\/112. Let c be 32\/(-15) + 20\/25. Put c, 4, r, -0.5 in ascending order.\nAnswer: c, -0.5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2. Let n(w) = -31*w**2 - 2*w - 1009. Determine n(a(c)).\nAnswer: -279*c**4 + 6*c**2 - 1009","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1420 = 145*v + 80*v + 130*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) 3 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1560)\/600)\/(1\/4*(-38)\/95).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -10*j**2 + 2298*j - 2. Let t(k) = 3*k. Give s(t(d)).\nAnswer: -90*d**2 + 6894*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + (2*(sqrt(176) + -1) - sqrt(176))**2 + -1.\nAnswer: -16*sqrt(11) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 27*g**4\/2 + g**3\/3 + 3. Let q be m(1). Calculate the highest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -252321\/5 = -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3228*l**2 - 1104*l + 1104*l + 160*l**2 in the form s*l + w*l**2 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -11) + -19 + 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196685?\nAnswer: 5, 139, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*((sqrt(85) - (sqrt(85) + (3*sqrt(85) - sqrt(85)) + sqrt(85)))*-3 + sqrt(85)))\/(-6*sqrt(2420)*-4).\nAnswer: 5*sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - -1.44. Let a = c + -13.94. Let y = a + 15. Put 0, -2, y in decreasing order.\nAnswer: y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-594)\/756*(-24)\/33?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6 + (-1 - -3) - -53 and (-2 + -52)\/(8\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let g(i) be the first derivative of i**4\/12 - 4*i**3\/3 + 37*i + 19. Let p(d) be the first derivative of g(d). Give 24*m(t) - 3*p(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30590.\nAnswer: 2, 5, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 3. Let m be t(-5). Suppose -11*k = -388 + 124. Let u = -20 + k. Sort u, m, 0 in increasing order.\nAnswer: m, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 23317230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4967070 is divided by 289.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 + 23306?\nAnswer: 23205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2070, 7631, 16886, 29829, 46454, 66755, 90726, 118361?\n\"Answer: -y**3 + 1853*y**2 + 9*y + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23203 + 10312?\nAnswer: -12231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u + 3*c + 14, -5*u - c = -34. Suppose 0*z = -z + u. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22554, 22551, 22548, 22545, 22542?\n\"Answer: -3*r + 22557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24806880004*q**2 - 5512570*q - 1225\/4.\nAnswer: -(315004*q + 35)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -6*w + 195. Solve -4*s + 2*s + w*i = -4, 0 = i + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, 441, 456, 477, 504?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1598069391?\nAnswer: 3, 113, 151, 31219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - x - 5, 5855*x = -4*j + 5869*x - 128 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16518 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: Solve -6*f = -3*f - w - 8, 2*f = 4*w - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-26)\/8)*(-8)\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2295 - 2236 = -5*q - 4*w, -5*w - 84 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)**(1\/79))**48 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60.7089 in 5, 50, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2559*t - 391. Is m(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 805, -3, 5 in decreasing order.\nAnswer: 805, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 96533720.8 to the nearest one hundred thousand.\nAnswer: 96500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(5 + -3 - 3) - 1. Suppose 0 = -4*z + h*p - 6, -3*z - p + 2*p - 3 = 0. Let q be 37\/3 - (-1)\/(-3). Solve z = -2*j - 2*j + q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 14*v**2 - 9*v + 7. Let k be i(15). Let s = -58 + k. Find the second derivative of -s*p + 76*p + 2*p**3 - 33*p wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 21*s - 2. Let i be k(15). Let u = 4 + i. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.5 * -34874\nAnswer: 749791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-14)*(-14 + 189\/18) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3149, 6282, 9371, 12392, 15321?\nAnswer: 18134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 - 0.1. Let n = 0.15 + u. Let w be 6\/80 + 3\/(-15). Which is the third smallest value? (a) n (b) -1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:18 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 46 = -10*d + 2*o, -2*d - 3*o = -3. Suppose -d*t + 12410 = 8*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156 + 159. Let w(v) = v**2 + 1. Let s be w(-4). Let q = s + -12. Solve -y + 19 = f*a + 3*y, 5*y + q = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let a(i) = -5*i. Let p(v) = 2*a(v) - 9*o(v). Let f(u) = 12*u. Give p(f(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1242*x - 82 - 6 = -1234*x. Which is the biggest value? (a) 0.15 (b) 2\/13 (c) -3 (d) x (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1814619*y**4 + 7187*y**2 + 20*y.\nAnswer: 43550856*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48.2 - 48.7. Suppose -9*i + 7*i - 7 = d, 2*d - 4 = 5*i. Let k be (-2)\/4 - (-26)\/36. Sort 5, k, j, i in decreasing order.\nAnswer: 5, k, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/483755 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.03 - -0.23. Let i = o - -3. Let n be ((-26)\/5)\/2 - (-44)\/(-110). Which is the biggest value? (a) 0.5 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 5, x: 6, l: 2, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 21959*x**2\/2 + 120648175*x\/2 - 1084055625\/2.\nAnswer: (x - 10975)**2*(x - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-9\/4))\/x)**(2\/51) assuming x is positive.\nAnswer: x**(-5\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -26852.4744 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c\/(c*c\/c**(1\/3))*c*c)*c**(-2\/5))**(-3\/22)*(c**(-2)*c)**(3\/8)*c\/(c**(-5)\/c)*((c\/(c*c**0))\/c*c)\/c*c assuming c is positive.\nAnswer: c**(3079\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/59 and 49\/39644?\nAnswer: 2338996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 293, 3 in ascending order.\nAnswer: -4, 3, 4, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 51511558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-19\/4)*q\/q**(8\/5) assuming q is positive.\nAnswer: q**(103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - 6*l + l + (-2 + 8 - 1)*(-6*l + l + 4*l).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a + 6*a + 7*a. Let j(f) = -2*f. Determine h(j(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2735?\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 157.\nAnswer: 15.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from minqydy. What is prob of sequence yq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 3*f**4\/2 + f**3\/6 + f**2\/2 + f. Let c = 14 - 6. Calculate the lowest common multiple of y(-1) and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 19. Calculate the lowest common multiple of 5 and y.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2549096954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -294, -547, -792, -1029?\n\"Answer: 4*g**2 - 273*g + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 24*c**2 - 1 - 6*c**2 + 4*c**2 - 6*c**2 + 3*c**2 + (5*c - c - 2*c)*(2 - 2 - c) to g*c**2 + b + d*c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -6)*0 - 1. Is v >= -5\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i + 8. Let b(u) = u + 25. Determine b(n(r)).\nAnswer: 5*r + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-4\/5)*g*g*g**7*(g\/((g\/g**(-2))\/g))\/g**(-1\/3))**(-22\/7) assuming g is positive.\nAnswer: g**(-3146\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -173 + 3*g**2 + 6*g**3 + 173 in the form j + o*g**2 + i*g + d*g**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -250291\/13 - -19253. Which is the nearest to -0.2? (a) 2\/7 (b) i (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27495 and 3079440?\nAnswer: 3079440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykyk. Give prob of picking 1 y and 2 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**3\/7 - 3*l**2\/14 + 6*l\/7 - 13. Factor h(q).\nAnswer: -3*(q - 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 3*o - 35. Is g(7) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-14) - (74\/(-14) - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1297 = -o + 4*k, -o - 5*k = -1353. What is the highest common factor of o and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 2*v**2 + 2*v - 1. Let q be t(2). Let f be -7*(q + 0 - 2). Let w = -5 - f. Solve -2*g = -g + w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h**2 + 29*h**2 + 21*h**2 - 79*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 439*f + 7 + 4 - 220*f - 222*f. Let d(x) = -x + 4. Give -8*d(m) + 3*u(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (1*(sqrt(1700) + -1 + sqrt(1700)) - (-1 + sqrt(1700))*6)**2 + -3) + 0.\nAnswer: -136105 + 2000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-42)\/28)\/(6\/(-16)). Which is the nearest to 6? (a) y (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78863997637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -37. Let t(c) = -1. Let s(w) = 2*w**3 + 3*w**2 + 2*w + 4. Let m(o) = -o**2 - o - 1. Let g(n) = -3*m(n) - s(n). Determine x*t(q) + g(q).\nAnswer: -2*q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 124*g + 279. What is the thousands digit of n(98)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/16)*d**(-25\/4)*d\/(d*d**(-34))*((d\/((d*d\/(d\/(d*d**(-20))))\/d))\/d)\/d)**45 assuming d is positive.\nAnswer: d**(32895\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(1\/25))\/(i**(2\/5)*i*i))**(3\/7))**36)**(9\/10) assuming i is positive.\nAnswer: i**(-16524\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12865 and 6640?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710829 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-8)*106\/(-159).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*d**2 + (-4 - d + 4)*(-4*d + d + 2*d) + 2*d**2 - 2 + 2 + 4*d**2 + 5*d**2 - d**2)*(-d + 2*d + 3*d).\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*(x*(x*((x*x*x**(2\/47))\/x)\/x)\/x*x)\/x)*x))\/(((x*x**(-7\/4)\/x*x)\/x)\/x) assuming x is positive.\nAnswer: x**(713\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3463*x - a = -3466*x + 17, 2*x - 5*a - 33 = 0. Put -4, x, -31, 2, 0 in decreasing order.\nAnswer: x, 2, 0, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4621 - 1845. List the prime factors of j.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102 + 97. Suppose 4*o + 20 = 5*o. Suppose d + 2*d + 4*j = -2, o = -4*d - j. Which is bigger: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13398035 is divided by 71266.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28727 + 28714.933. Round l to one decimal place.\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-60)\/18*(-6)\/5. Find the common denominator of ((-19)\/(-8))\/(g - 3) and -13\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/7*(-21)\/6. Let l(j) be the first derivative of 0*j**2 + 3*j + q*j**2 + 1 - 3. What is the first derivative of l(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/157395 and -187\/30?\nAnswer: 314790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 13870*i. Let c(l) = -69*l. Determine 803*c(n) + 4*r(n).\nAnswer: 73*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/27 (b) -0.4 (c) -0.3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from tmzhz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3965 + 3085 - 612 + 7*s + 2811.\nAnswer: 7*s + 9249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2525307 + 4425307. What is a rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -18. Find the common denominator of -39\/2 and (c + 5)*103\/78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*i = -421 - 38, -3*t + 459 = -3*i. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + v + 355, 284*v = 2*n + 288*v - 142. Solve -3*q - 2*f = -5, -25 = -2*q + n*f - 68*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 2, -0.057, 1\/248?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21879 or -21877?\nAnswer: -21879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, -0.1, 1147.8?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 12:25 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5 = -5*x, x - 2*x = -3*k + 1. Let b(z) = -80*z**3 + z**2 + z + 1. What is the tens digit of b(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -28. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-4)*36\/45 - 5. Put 82, d, -5 in decreasing order.\nAnswer: 82, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006470 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.2 (b) -5 (c) 3 (d) -2 (e) -665\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12 + 21\/4. Suppose -6 = -s*c + 29. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-145 + -1)\/(0 - 1). Let c = b - 97. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -69*c - 411. Let p be h(-6). Let l(z) be the third derivative of -24*z**2 + 7\/30*z**5 - 1\/6*z**4 + 0*z + 0*z**p + 0. Solve l(v) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 163. What are the prime factors of c?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 less than 15.73334?\nAnswer: 32.73334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 54*g + 1 to the form h*g + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*a - 1104 = 149*a - 83*a. What is the smallest common multiple of 1749 and a?\nAnswer: 80454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 464.8 - 59.2. Let k = g + -433.53. Let m = k + 28. Which is the nearest to 0.1? (a) -0.1 (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16522000451 and -0.09?\nAnswer: 16522000450.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(104) + sqrt(104) + 2*sqrt(104)))\/((1*sqrt(16))\/sqrt(4)))\/((4*sqrt(40)\/sqrt(5))\/(sqrt(100)*-4)).\nAnswer: -60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3049784 rounded to 3 dps?\nAnswer: 0.305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -606 divided by -6.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 14171876\nAnswer: -99203132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2469648 and 617412?\nAnswer: 2469648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4579 - -8001. Is d a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -53*l**2 + 2 - 1 + 55*l**2 + 4*l. What are the prime factors of s(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295081300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 27 = u. Let i(b) = b**3 + 12*b**2 + b + 8. Let c be i(-12). Suppose -6*y + y - 10 = 0. Put y, c, u in decreasing order.\nAnswer: y, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = 7. Suppose -2*i - 4 = 2*h, 4*i + 2 = 6*h - 4*h. Which is the nearest to h? (a) -8 (b) o (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-4 - (2 + -4)). Suppose g + g - 10 = d. Suppose -5*l + 0 = s - 7, 0 = -l + g*s - 9. Let i(t) = 4*t**3 + t**2 - 1. Determine i(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73677972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - g**2 - g + 3593. Is l(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -368 + 1115. Is 83 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*c**2*k + 5*c*k**2 + 2*c*k - 14*k**2 - 274*k wrt c?\nAnswer: -54*c*k + 5*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48037000 divided by 4367000.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -2*p**7\/105 + 326*p**6\/15 - 108214*p**5\/15 + 105298*p**4 - 625974*p**3 - 7115*p**2. Suppose z(s) = 0. Calculate s.\nAnswer: 3, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**3 - 2*j**2 - 302*j + 2573. Give u(8).\nAnswer: -2019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 958769552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 130.\nAnswer: -9\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4234 is divided by 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-66))\/(20\/(-25500)*17) + -7. Factor -32\/11 - 18\/11*n**2 - d*n - 2\/11*n**3.\nAnswer: -2*(n + 1)*(n + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -347, -345, -343?\n\"Answer: 2*d - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-414)\/(-897))\/((-18)\/(-52))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-416)\/(-10) - (-2)\/5.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55557029?\nAnswer: 11, 23, 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 12:13 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 1 + m + m**3 - m**2 - m**2. Let f be g(3). Which is bigger: f or 12\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4977 is divided by 367?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from {p: 2, r: 4, h: 1, l: 7, k: 2, c: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283317124?\nAnswer: 2, 29, 2442389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8. Suppose o = -0*j + 2*j. What is the nearest to -0.1 in -4, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-22))\/(6\/(-4))*-12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g - g)*(-5*g - 2 + 2).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -79. Calculate the remainder when 116 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 6 = -0*q - 0*q - 20*v, 0 = q - 4*v - 9 - 8 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244*w**2 - 16 + 76 + 2*w - 24*w**2 + 0*w - 124*w**2 wrt w?\nAnswer: -784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*s + 2. Find the third derivative of -3*k**2 + 4*k**3 - 4*k**3 + 4*k**4 - k**s wrt k.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47509.54ml in litres?\nAnswer: 47.50954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*d**2 + (-2*d - 4*d + 5*d)*(-5*d + 3*d + d) + (2*d + 0 + 0)*(2 + d - 2).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 32321221021?\nAnswer: -32321221013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 34511 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-6)*r*r*r**(-14)\/r*r)**35 assuming r is positive.\nAnswer: r**(-595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 32. List the prime factors of f*(-2)\/12*-63.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzcbzzzaabzzzzbzzaa. Give prob of picking 3 b and 1 z.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*z = -192, 2*z + 164 = -0*g + 4*g. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -9. What is the units digit of (-3 + 25 + a)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y**3 - 50*y**3 + 65*y**3.\nAnswer: 35*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**7\/o*(o\/o**(-3))\/o)**(-32))**(-17) assuming o is positive.\nAnswer: o**5440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, k: 4, m: 6, w: 1}. What is prob of sequence mwb?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12024 (base 14) to base 8.\nAnswer: -125640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104.8 - 103.8. What is the second biggest value in t, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113998 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1\/3, -0.6, 62?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1 - 23*r - 32*r - 35*r + 89*r. Let c(q) = q**2 + 8*q - 6. Let k be c(-8). Let l(f) = 3*f - 2 + 5*f - 1. Give k*j(i) - l(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:33 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 plus 1.0181?\nAnswer: 26.0181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2708*d - 153615 = 490*d + 31869 for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -0.020858.\nAnswer: -0.220858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 48377307 times -15\nAnswer: -725659605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 912 + 144 = -12*j. Let q = 522 + j. Does 31 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + ((-240)\/(-18))\/(-4). Let v = 26.9 + -27. Put -0.2, n, v, -17 in increasing order.\nAnswer: -17, n, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 88\/(-36) + 104\/780*(-4925)\/(-1545).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 - 2*b**2 - b + 21. Let d be o(0). Solve -6*z - d = 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3270 is divided by 69.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2271 and 0.13561.\nAnswer: -307.97031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)*w*w**(-1\/9)*w*(w**(-1\/6)*w)\/w*w*w**(1\/9)*w assuming w is positive.\nAnswer: w**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. What is the third smallest value in 8, z, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652875451?\nAnswer: 14831, 44021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27 and (4\/92)\/(-3 + (-234)\/(-77))?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 13 (c) -0.5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2255)\/(-41))\/(-55)*(-23)\/(-2)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5\/3 - 26816*c**4 + 797482466*c**3\/3 + 77102437372*c**2 + 17211012871832*c\/3 + 31703791494544 = 0?\nAnswer: -139, -6, 20254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -21. Solve 10 = o*x - x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(6\/11)\/(f\/(f*f\/(f\/((f\/f**9)\/f))*f)) assuming f is positive.\nAnswer: f**(-82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/233286 and -49\/346.\nAnswer: 40358478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18361980 and 18018.\nAnswer: 201981780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-390)\/(-12))*-1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 123*y**2. Let t(b) = -2*b**2. Determine h(t(i)).\nAnswer: 492*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.732 and 0.48276287683?\nAnswer: 1.24923712317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 360\/(-153) + 1 + 1. Let w = v + -26\/119. What is the third biggest value in w, -1\/3, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f**4 - 39*f**3 - 795*f**2 + 423*f + 405 = 0. What is f?\nAnswer: -9, -1\/2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1263648 divided by -3?\nAnswer: 421216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)*i**(2\/29)*i**(3\/4)\/i**(-7) assuming i is positive.\nAnswer: i**(327\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 16*q + 10. Sort -1, -3, 3, q in increasing order.\nAnswer: -3, q, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 0.0782997.\nAnswer: 0.5480979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 + 136. What is the closest to 0 in -0.5, g, 0.1, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2279\/5720 - -9\/5720. Factor -4\/5*k**2 + 4\/5 - f*k**3 + 2\/5*k.\nAnswer: -2*(k - 1)*(k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54574189?\nAnswer: 54574189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 237*k**2. Let w(m) = -6*m**2 - 4*m**2 + 3*m**2 - 5*m**2 + 22*m**2. What is w(r(b))?\nAnswer: 561690*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 6, h: 2, v: 3}. What is prob of picking 2 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111333658.\nAnswer: 2, 55666829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-300 + 3*o + 203 + 165 + (4 - 5 - 1)*(-1 - 3*o + 1))*(2*o + 2*o - 6*o).\nAnswer: -18*o**2 - 136*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-64) + (-52)\/(-144)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -3369.\nAnswer: -3368.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/210*-5)\/((-6)\/8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 10, 5, -571, 6, -9 in descending order.\nAnswer: 10, 6, 5, 1, -2, -9, -571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234 or -233?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(17)*1)**2 + sqrt(17)*1 + -2.\nAnswer: -5*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118562 - 33643 = 3366*l + 43084 - 3427 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-42))\/((-9)\/(-81))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-24)\/14 + 889\/490).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 - y**2 - 2*y**2 + (-1 + 1 - y)*(6*y + 3*y - 5*y) + 0*y**2 - 4*y**2 + y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/68 and -3\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2853182370?\nAnswer: 2, 3, 5, 73, 557, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -144579 divided by 6\nAnswer: -48193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 363 - 3?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 9:26 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -0.55. Let h = y + -0.6. What is the nearest to h in 1\/6, -4, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -628, -2163, -4626, -8017, -12336, -17583, -23758?\nAnswer: -30861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3201233210 (base 4) to base 13.\nAnswer: -264b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.838267 years?\nAnswer: 0.04838267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1006 and -143.\nAnswer: -143858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*c + 15. Let y be (-4)\/8*5*c. Solve -q + 5*x - 7 = -2, 4*x - y = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 0.2, 33, -13, -0.069, -0.2?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14948 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:42 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 459000 rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -4)\/(3 + 21\/(-6)). Suppose -2*n + 5*n + a*g - 438 = 0, -g + 146 = n. What are the prime factors of n?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of (-6458)\/(-5) + 4 - 6\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/20, 114, 0.2, 2?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 984 - 574. Let y(q) = -q - 410 + u. Let v(s) = 200*s. Determine y(v(n)).\nAnswer: -200*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -27\/4?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22814333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*s - 960 = 167*s. What is the smallest common multiple of 80 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-702)\/468*1\/((-6)\/(-14)*(-28)\/488).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*i**3 - b**3*i**2 + 6*b**2*i**4 - 3*b**2*i**2 - 2*b*i**3 wrt i?\nAnswer: -18*b**3 + 144*b**2*i - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -0.49, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {u: 9, h: 1, p: 2, c: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 35, -3, -1 in decreasing order.\nAnswer: 35, -1, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/60*22\/(-33) + 192\/(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/(-27) - (51177\/(-27) + -2).\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2496) - 3*-1*sqrt(2496)) + -3*-2*sqrt(2496))\/(-2*sqrt(108) + sqrt(108) - sqrt(108)*-2))**2.\nAnswer: 20800\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 403893?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/4*j + 0 + 1\/4*j**2.\nAnswer: j*(j + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 34 = 3*j, -23684*j + 2*b + 24 = -23686*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195\/1133 - 1\/103. What is the third smallest value in 2, 4, l, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9299 * 0.2\nAnswer: -1859.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 1929, 5980, 13739, 26442, 45325, 71624?\nAnswer: 106575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1134 + -166. What is p rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.09331697 rounded to two dps?\nAnswer: 30.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*y + 17 + 47, -3*r + 2*y + 77 = 0. Suppose 3*u + 4*t = 3*t + r, 3*t = 5*u - 59. Suppose g = -4*g + u. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*o = -16, 12 = -2*q + 7*q - o. Find the third derivative of 0*k**4 + 2*k**4 + 8*k**5 - 7*k**q + 4*k**2 + 2*k - 7*k**5 wrt k.\nAnswer: 60*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1 + 3*w - 1. Let j(g) = 0 + 0 + 0 + 3*g. Determine o(j(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 634939.7 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 125003386 to the power of 1\/2, to the nearest integer?\nAnswer: 11180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -5, 76, -2, 4, 8 in ascending order.\nAnswer: -9, -5, -3, -2, 4, 8, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12319 times -0.04749?\nAnswer: -585.02931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30612a6 + -23?\nAnswer: 3061283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 + -5.91. Let n = -47.6 - -65. Let j = n - 17.2. Which is the closest to 1? (a) x (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 3858.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130255688?\nAnswer: 2, 3, 43, 1095209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -23*y + 18*y - 21, 0 = -h - 3*y - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = -11. Let s = l + 14. Suppose -17 = -4*p - s. Solve 3*u + 3 = p*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*c*t - 1644*c - 503*t**3 - 4 wrt t?\nAnswer: 6*c - 1509*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4386 = 31*j - 26*j, k + 2*j - 4377 = 0. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44498 - -4?\nAnswer: -44494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/303 and -58\/3723?\nAnswer: 376023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 21*g - 107. Let o be j(-11). Is o\/6 - 95205\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24 - 4) + 3\/((-15)\/20). Let g(o) = -o + 22. Let v be g(i). Solve 0 = 3*d + 3*b - v, 2*b + 2 = 3*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.5 + -3.49999895. Round q to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5\/253 (b) 0.16 (c) 9 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 637 - 635. Solve -3*f + f + j = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 14686 = 18*v. List the prime factors of v.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 5*c - 2. Let v be ((-3)\/(-6))\/(1\/(-8)). Let f be j(v). Sort f, -5, -2.\nAnswer: -5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzm when three letters picked without replacement from mmoooognommooooozzom.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1297*n**5 + 2*n + 327.\nAnswer: 25940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00116992606 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -635437\/443370 - 2\/14779. Let m = 6 + -4. What is the common denominator of r and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4\/3 - 4*x**3 - 20*x**2 - 68*x\/3 - 8.\nAnswer: 4*(x - 6)*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**5\/20 - 17*v**4\/12 + 22*v**3\/3 - 14*v**2 + 22*v + 2. Factor z(l).\nAnswer: (l - 14)*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k - 7. Let i(n) be the first derivative of -n**2 + 2*n**2 + 7 + 5 + 26. Determine i(z(c)).\nAnswer: -8*c - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1540)\/(-30))\/(-14) + 1*4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 5*n**2 + 2*n - 2. Let z be l(4). Let d = -2 - -1. What is the remainder when d\/(z\/(-44))*-10 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05991873147 to 3 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1681639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 54629561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 144639, 289258, 433881, 578514, 723163, 867834, 1012533?\n\"Answer: u**3 - 4*u**2 + 144624*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**4\/16 - t**3\/6 - t**2\/8 - 4. Find v such that m(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -529 divided by -159?\nAnswer: 529\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*m + 153*m + 571*m + 267*m.\nAnswer: 746*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:33 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54240?\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {f: 6, l: 2, h: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/9*(-666)\/111?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (1 + -4)\/(-3). Suppose 3*d + z = 916, -5*d + 1545 = -c*z + 3*z. Is d a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23320, 23396, 23486, 23596, 23732, 23900?\nAnswer: 24106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -5. Calculate the remainder when 84 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11200202212 (base 3) in base 11?\nAnswer: 63486","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ugbbbubbbbuabbb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 753710 (base 8) to base 4\nAnswer: 331133020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 6*z**2 - 2*z - 4. Let t = -207 + 213. What is c(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.4 + -6.6. What is w rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 1539 = w. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-9))\/(110\/(-1584)). What is the greatest common factor of y and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -203920 and 407?\nAnswer: 204327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*t = 158*t + 424 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q**2 + 11*q - 46. Is g(-21) 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 15074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(1\/15))\/((-2255)\/(-4059))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*v - 264 = -65*v + 171*v. Let q(p) = -73*p**3 + 11*p**2 + 11. Let t(a) = -37*a**3 + 6*a**2 + 6. Calculate v*q(m) + 11*t(m).\nAnswer: 31*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o + 11. Let i(y) = 7*y - 5. Let v = 5 + 0. Suppose v*m = 15 + 30. Let c = -15 + m. Calculate c*u(t) - 13*i(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11221 by -4.\nAnswer: -11221\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 3 + 0)*((4*g - 5*g + 0*g)*(-4 + 5 + 0) - 2 - 2*g + 2 - 3*g + 6*g - g + 2*g + 0*g + 0*g + 0*g + 5*g - g + 23 - 23 + 51*g - g - 1 + 1).\nAnswer: 715*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316248 - 237142 + 190832 = -2726*g for g.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 3 + 4 + -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 6980.\nAnswer: 6980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1943 and 1649433.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 460291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*c - 211*c - 198*c + 19 - 14 - 5.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 4) to base 15.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c. Let a(l) = -l**3 - 11*l. Suppose 53 = -55*n - 57. Give n*a(j) - 11*t(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*z - 2632, -11*h - 2*z + 898 = -6353. Calculate the remainder when h is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90361867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5144300 divided by 70?\nAnswer: -73490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67028.1836 minus 7?\nAnswer: 67021.1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2905*b**5\/4 - 6967*b**4\/4 - 569*b**3\/4 + 3487*b**2\/4 - 3*b\/2 = 0. Calculate b.\nAnswer: -2, -1, 0, 1\/581, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 428129344 and 8649?\nAnswer: 3853164096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 119 (b) 0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43869 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -107*c**2 + 967*c + 11. What is v(9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3\/(-4)) + 337955\/(-436580).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.5 take away 424661?\nAnswer: -424673.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/10)\/(1014\/(-2535)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 + 58*n**2 - 1 - 7*n + 3*n**4 - 56*n**2 to y + f*n**3 + r*n**2 + k*n + d*n**4 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 11416045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/17 (b) 0.25 (c) 2205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 10:51 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -47996857.\nAnswer: -95993714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/11 and (2\/(144\/(-5)))\/(42\/456).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160503, 160507, 160511, 160515, 160519, 160523?\nAnswer: 160527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhdhddhhhhh. What is prob of sequence hhhd?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -2 - (20 + -39 - -24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*a + 207. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 22 - (2 + 7 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14224 - 1242110?\nAnswer: -1222331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 175*s + 108. Let l be c(-4). Let t = -256 - l. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1577207 divided by -2.\nAnswer: 1577207\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -10*o**3 + 3*o**2 + 2. Suppose 4*k + 28 = -0*x + 3*x, 4*k - 2*x = -24. Let z be v(k). What is the tens digit of 2\/(-8) - z\/(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 15 = t, -3*t - 2*v + 24 = -v. Let q = t + 6. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1208 = -2*b, -b = -7*v + 4*v - 594. Is b*((-2)\/(-42) - (-2)\/7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 418*i**2. Let z(t) = -6*t**2. Calculate z(o(q)).\nAnswer: -1048344*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nggn when four letters picked without replacement from gnnnngngngn?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3 + 3 + 4*w + 0. Let c(o) = o**2. Calculate c(a(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 220 = -0*x. Suppose 2*u + 18 = 2*k, 3*k + u - 3 - 4 = 0. Suppose -k*v = -5 - x. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 2, 11, 24, 41, 62, 87?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.1, -7\/19, -0.6, -0.5 in increasing order.\nAnswer: -0.6, -0.5, -7\/19, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 a, and 2 m when four letters picked without replacement from {a: 4, x: 1, n: 1, w: 1, m: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 737*b - 2. Let f(m) = -1473*m + 5. Calculate -2*f(c) - 5*j(c).\nAnswer: -739*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.45577 and 201560.1.\nAnswer: 201561.55577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (90\/(-4) + -1)*-2. Suppose -y - 178 = -3*p + 18, -3*y + 283 = 4*p. Let u = p - d. Solve -2*r + 6*r = u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klllkl. What is prob of picking 1 k and 1 l?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)\/(q\/q**(-22)))\/((q\/q**19)\/(q*q**(-12)*q*q)) assuming q is positive.\nAnswer: q**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 75 = -5*z + 13*g, -4*z + 24 = -4*g. Suppose -2*a = -v - z, 2*v = -v + 9. What is the lowest common multiple of 5 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 33*u**2 - 14*u - 460. Let w be t(-33). Calculate the greatest common factor of 281 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 2*v + 7*v**2 - 3*v + v**2. What is the units digit of u(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - -1 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-28)\/(-7))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 9396?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*y + 177*y + 2*y**3 - 360*y + 3 + y**4 - 2*y**2 in the form t + g*y**3 + w*y + f*y**4 + j*y**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15448.\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 - 4*l + 51. Let y be s(-16). Suppose -y = 32*m - 3859. What is the smallest common multiple of 110 and m?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13211040 to the nearest one hundred thousand.\nAnswer: 13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (32 - (20 - -13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -49\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k = 0. Suppose -h + 3*u = -k*u - 9, 6 = -2*u. Let q(w) be the first derivative of -w**3\/3 + w**2\/2 + 7*w + 14. Give q(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1190)\/357)\/(50\/15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/24 + (-85315)\/(-1356). Solve -3*a + t = -9, k*t - 3 = -a + 59*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 > 31\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(9\/8)*(i\/(i**(3\/5)\/i))\/i**(-1) assuming i is positive.\nAnswer: i**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4224*-0.0692.\nAnswer: -292.3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610 = -8*s - 470. What is the common denominator of -2*6*s\/(-288) and 2\/(-7) + (-149)\/42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/(104\/8) + 21\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-6)*(-3)\/(-2) and (32 - 1)*(37 - 78177\/2112).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4095, -32659, -110183, -261147, -510031?\nAnswer: -881315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -165572\nAnswer: 5\/165572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1560116 is divided by 50.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 20*t - 656. Let x be g(35). Solve 8 = -9*p + x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -247 - -618. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 521 and 6.9.\nAnswer: 3594.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 1. Let h(m) = -25*m - 23. Let b(t) = -12*t - 13. Let a(o) = -5*b(o) + 3*h(o). What is a(d) + 4*j(d)?\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**3 + 12*n**4 + 9*n**3 - 13*n**4 - 3*n**2 as a*n + f*n**3 + s*n**4 + t*n**2 + k and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 240716*r - 190749.\nAnswer: 240716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/24 - d**3\/6 + 3*d**2 - 11. Determine n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/3)\/(2\/(-3)) - -17. Let z be 397\/(-66) - i\/(-88). Which is bigger: -7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*z, 33 = o + 5*z + 42. Solve 5*d = 3*w - 27, -3*w = -o*d + 8*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 4*p**2 - 6*p - 5. Suppose 71*c - 602 = -34. What is the remainder when w(6) is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28021551497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 6, i: 9, q: 4}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - z**2 + 1. List the prime factors of p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-220)\/(-25) - 6)*10)\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132511496 to the nearest integer?\nAnswer: 11511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480616 is divided by 408?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*f + 58*f - 368. Let i = 149 - f. What is the remainder when 102 is divided by i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from {u: 7, l: 2, e: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297610, -595251, -892892, -1190533, -1488174, -1785815?\nAnswer: -2083456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*j + 3. Let i be j\/(-5) - 590\/25. Let l = 54 + i. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4343165359 to the power of 1\/2, to the nearest integer?\nAnswer: 65903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 41*p**2\/2 - 27*p + 36. Differentiate n(f) with respect to f.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 1 p when three letters picked without replacement from {x: 1, p: 1, k: 1, q: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 1. Let k be b(2). Suppose -5*y + k = -2*y. Suppose 3*a = 5*u + 48 - 5, 0 = -y*u - 6. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 25. Suppose n = -2*a + 6*a - 20. Suppose -2*d = -4*s + 102, -3*s - a*d + 93 = -d. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -23. Suppose 0 = -5*o - 3*b + 32, -o - 4*b - 8 = -q. Let t be ((-2)\/o)\/((-6)\/36). Are t and 3 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23704\/3 or -7900?\nAnswer: -7900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 18*x**2 + x - 2. Let m be q(2). What is the highest common factor of m and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g - 20 = 0, t - 7 = -g. Let l = t - 2. What is the least common multiple of l and ((-4)\/(-6))\/(8\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goi when three letters picked without replacement from {b: 1, l: 7, g: 1, i: 3, k: 1, o: 5}.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 15*j + 57. Let q(f) = -3*f - 11. Calculate 11*q(g) + 2*v(g).\nAnswer: -3*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 5*n + 64 = 0, 22 = -2*f - 17*n + 12*n. Let o(t) = -t**3 - 3*t**2 + 6*t - 50. Calculate o(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**3 + 2*v**2 + v. Let r(t) = -6*t**3 - 3*t**2 - t. Suppose 7 = -4*n + 127. Suppose 5*x = -10 + n. Let k(d) = x*r(d) + 5*m(d). Factor k(l).\nAnswer: l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - 2*d**2 - 3*d - 3. Let k be c(-2). Let v = k - 16. Let u(r) = -r**3 - 5*r**2 - 4*r + 2. List the prime factors of u(v).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 1, 4, 16 in increasing order.\nAnswer: -3, 1, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(28)\/sqrt(4) - (-3 + (sqrt(28) - sqrt(7)))) + 5*(-5*sqrt(21)\/sqrt(3) + -5)**2.\nAnswer: 226*sqrt(7) + 1018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*w + 83566397 = 0, 4 = 2*w - 0. Suppose 4*d + h = -10144537. What is d rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9179 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -45*u - 1754. Determine p(-33).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.074 - -15.\nAnswer: 14.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 326?\nAnswer: -9\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 + -1747\/11. Let u = -4.2 + 4. What is the closest to 0.5 in u, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7.09, -130\/9, 0, 0.5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1342 and 25182630.\nAnswer: 25182630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 2:00 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three halves of a decade?\nAnswer: 2580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/69 (b) -1.7 (c) -1\/6 (d) 22 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 + 325700*d**3 - 110630*d**3 - 3 - 1.\nAnswer: 215070*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 523258657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30253.5 and 7.\nAnswer: 211774.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 13840.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 - (43 - 7)) - (-49 - -55) - -3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010111 + 10011?\nAnswer: 10100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**3 - 21*t**2 - 15*t. Let d(k) = -k**3 + 4*k**2 + 3*k. Let j(c) = -11*d(c) - 2*i(c). Calculate the remainder when 59 is divided by j(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*-1 + 11 + 6. Suppose -r*j + 16*j - 6 = 0. Suppose 4*p = -5*z + 100, 3*z - 108 = -p - j*p. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1141 and 387451.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r + 246. Let f be l(35). What is the second derivative of -12*m - f - 169*m**2 + 15*m**2 + 7*m - 2*m**2 wrt m?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16574 - 16567. Solve m + 4*q - y*q = -11, -3*m + 3*q = 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9738997 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 - 17119*n\/3.\nAnswer: -n*(n + 17119)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8\/13, 1\/4, -11, -33, 1\/5 in decreasing order.\nAnswer: 1\/4, 1\/5, 0, -8\/13, -11, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.86 + -2.46. What is the nearest to y in 5, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = -20*h + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5738419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9980, -36813, -80494, -141017, -218376?\n\"Answer: p**3 - 8430*p**2 - 1550*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p**3 - 8*p**2 + 14. Let q be -14*1\/6*3. Let o(s) = 7*s**3 - 5*s**2 + 9. Let c(f) = q*o(f) + 5*g(f). Give c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/13*10\/(-15)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = -2*g, -4*y - g - 35 = 0. Suppose 3*f - 3 = 0, -5*u + 5*f - 5 = 55. Is u not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 35*k**2 + 35*k + 41. Let a be b(36). Solve -4*x = 4*y - 44 + 12, 15 = a*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70808067 divided by 33\nAnswer: -2145699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1368 = -i, -2*i - 4698 = -5*u - 1287. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3847*x**2 - 1716*x**2 + 2137*x**2 as b*x**2 + h + n*x and give b.\nAnswer: 4268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45781926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129270 and 1894570.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -16*d. Let q = 88 + -84. Let y(w) = 16*w - 20*w + q*w + 3*w**2. Calculate y(u(k)).\nAnswer: 768*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14725 or 14686?\nAnswer: 14725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 51961725, 51961723, 51961721?\n\"Answer: -2*n + 51961727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1286663*n + 1286630. What is t(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 - (-13)\/4. Solve 3 = -3*s - 3*y, 6*s - n*s = 3*y + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 35 = -4*n, -18 - 2 = 5*i + n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52318 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74253 and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 344*d**3\/3 + 533. Let b(j) = -10*j. Calculate w(b(s)).\nAnswer: 34400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*a = 3*v + 51*a + 38, 0 = 4*a - 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19, -2, -1, -376 in descending order.\nAnswer: 3, -1, -2, -19, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 at most -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 676, 3394, 9142, 18916, 33712, 54526, 82354?\nAnswer: 118192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-9)*33\/(-44)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 388854.\nAnswer: 2721978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -372 and -0.049722.\nAnswer: 18.496584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/168863717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 109 (b) -2\/11 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -56220 divided by -30\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43417, 43430, 43461, 43522, 43625, 43782?\n\"Answer: 2*f**3 - 3*f**2 + 8*f + 43410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 15*q - 28. Let f(s) = -2*s**2 - 14*s + 35 - 55 + 4*s. Let v be f(-4). Give y(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = 2*i + 4*f, -2*i + 3*f = -19. Let h be ((-3)\/(-2) - 0)*2. Let m(u) = -1 - i + h - 2*u**2 + 3*u. What is m(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 591, -26\/5 in descending order.\nAnswer: 591, 3\/4, -26\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 229*o**2 - 279*o wrt o?\nAnswer: 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 8:48 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - 13*d**2 - 13*d + 5. Calculate the remainder when 313 is divided by s(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = -2*v - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8205950 + -18?\nAnswer: 8205933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 304 - 4?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/15*(-22)\/((-220)\/(-150)))\/((-6)\/(-100)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 11:33 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:28 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/3))\/f**(2\/3))\/(((f**(1\/9)*f)\/f)\/((f\/f**(-2\/7))\/f)) assuming f is positive.\nAnswer: f**(11\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 8:06 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 2\/7*u + 8 - 1\/14*u**2 - 1\/21*u**3. Let f(c) = 0. Calculate c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13149108 + 3?\nAnswer: -13149105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 16 = -j + 3*j, 260*j = 76*k + 261*j + 302 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-34) - 1)*10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 795 (c) -1\/5 (d) -2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4750813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0 + 0*v**3 + 7\/30*v**5 - 1\/24*v**6 + 0*v + 0*v**4 + 6*v**2. Find the third derivative of c(s) wrt s.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*h = -51, 0*n + 2*n - 9 = -5*h. Let z(p) = -p**2 - 9*p - 7. Let i be z(-7). Let j = 2 - -1. Solve j*m - n = i*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:24 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(1\/22))\/s)**25\/(s**(-1\/32)\/(s*s*s**31)))**(-1\/57) assuming s is positive.\nAnswer: s**(-11227\/20064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 90396*c - 1085043. What is k(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.599999084 - -21.6. Round j to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osoosssoos. What is prob of picking 3 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5895 and 18?\nAnswer: 11790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 137971606589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -624 + 630.15. Let a = s + -6.1838. Round a to 3 decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1198*v**3 + 3903*v**3 + 4945*v**3 - 2511*v**3 + 3566*v**3.\nAnswer: 8705*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o**2 - 5*o**3 + 7*o**2 - 11*o**2 to h*o**3 + f*o**2 + m*o + w and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 556310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.5, -0.24, -5703, 2, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w**3 - 71294*w**2 + 736920*w - 275800 = 0. Calculate w.\nAnswer: 7\/18, 10, 1970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (((-684)\/170 - -3) + -2). Which is the third smallest value? (a) 0.1 (b) 1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 3*u. Let b be a(4). Suppose 0 = i - 0 - b. Determine l so that l - l**5 + 2*l**2 + l**4 - 3*l**i + 0*l**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 395\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 395, 2096, 4931, 8900, 14003, 20240?\n\"Answer: 567*r**2 - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 z when three letters picked without replacement from zqqqzq.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2576 bigger than 33480\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:27 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1781214 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28526 by 17.\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -839, -841, -843, -845, -847, -849?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -15211240 to the nearest 10000.\nAnswer: -15210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 950 divide 89386450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4325666 < 4325718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/20 - (-147)\/35. Solve 86 - 74 = c*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-39)\/(-18)*-191*3. Suppose o + 3*n = 487, -5*o + 3*n = 6*n - c. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7221317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -3986\nAnswer: -2\/1993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j)**46\/(j**(2\/7))**(9\/2)*((j**(2\/15)*j)\/j*j**(-5\/6)\/j*j)\/(j**(4\/3)*j**(-2\/7)) assuming j is positive.\nAnswer: j**(1979\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -22 in ascending order.\nAnswer: -22, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2778 - -2794. Solve -287*l + 283*l = -f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (-1 - -4) + -34. Let t be 2\/(-5) + z\/(-15). Suppose s = -t*s + 204. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 6*c + 7. Suppose -3*y = -r - 7, -3*r + 35 = -8*r + 5*y. Let p be k(r). Suppose 7*j - 5*j - 236 = p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2\/6 - 1405*k\/6 + 37176 = 0.\nAnswer: -1549, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87 - (0 - (-1 + -11))) + -20 + 9.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4982, 12579, 25240, 42965, 65754, 93607?\nAnswer: 126524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**2 - 10*t + 9. Calculate u(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -19*o. Solve o = 4*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 464*f - 483*f + 282*f as a*f + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 19 - 6 + 37 - 43*q + 39*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*h + 2*n = 132*h - 3, 7 = -h - 4*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 1 - 7. Suppose -4*j = o - 18, -6*o - 13 = -j - n*o. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 25. Let b be 9\/6*(-6)\/j. Differentiate -2*l - 4 - 3 - b with respect to l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2808 and 10.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12262 - -12253. Sort 1.2, p, 3, -4 in descending order.\nAnswer: 3, 1.2, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -51. Which is greater: y or -40\/51?\nAnswer: -40\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -306*m + 6994. Let n be i(12). Is n > 3321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000216167 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9015 and 3005?\nAnswer: 9015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16\/10 + 2898\/(-630)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 197.737 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - 29076?\nAnswer: -2905d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 34984.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-55))\/((-4)\/(-10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81310512?\nAnswer: 2, 3, 109, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let f(x) be the third derivative of -x**4\/8 + 6*x**2. Determine f(m(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -313*m - 30. Let a(p) = 105*p + 10. Calculate 7*a(w) + 2*k(w).\nAnswer: 109*w + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d**2 + 1866368*d - 746544 = 0 for d.\nAnswer: 2\/5, 93318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 38*w**2 + 393*w - 1102. Let v be c(23). Solve -3\/8*l**4 - 21\/2*l + 9 + 21\/8*l**3 - 3\/4*l**v = 0 for l.\nAnswer: -2, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 5*u**2 + 8*u - 7. Let s be y(5). Suppose -15 + 9 = 2*t. Let z = t + 14. Calculate the greatest common factor of z and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84064 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c - 47. Give g(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -20. Which is the nearest to s? (a) 4 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(-15 + 11 - 16) + 1 - 1 - p + (3 - 4 + 2)*(-4*p + 5*p + 0*p) - 2*p + 4*p + p.\nAnswer: -37*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -43*i + 14. Determine h(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + n - 18. Let u be v(4). Let i be u\/((-4)\/(-5)) + 1\/2. Suppose -4*x - i*k + 24737 = 0, 7 - 2 = -5*k. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 744780 to the nearest 10000.\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.60391 - -0.00391. Which is the biggest value? (a) -1 (b) -5 (c) 0.1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 - s**3 + s**3 + (2 - 2*s**2 - 2)*(s**2 - 5*s**2 + 3*s**2) - 2*s**4 + 2*s**4 + s**4)*(-6*s + 37*s + 28*s).\nAnswer: 118*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuum when four letters picked without replacement from stumu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + 15*d - 1. What is y(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53\/5 of a century?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583126 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h - 14233 = 88*h + 195*h for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 206, 2\/7, 4, -23, 0.2, 5.\nAnswer: -23, -0.2, 0.2, 2\/7, 4, 5, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m + 17 + m + 6*m + 4*m + 2*m to z*m + s and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of ((-158)\/(-3))\/(12\/54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.043 less than 5370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 3*z)*(-2 - 3 - 1) + (0 - 5 + 3)*(-1 - 4*z - 4*z - 17*z).\nAnswer: 38*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357, 793, 1229, 1665, 2101?\nAnswer: 2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c2 (base 13) to base 7.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*n - 7*n + 2*g - 31, -7*n + 38 = g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 19}. Give prob of sequence kz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/27*3*39. Let d = 13 - h. Let v = d + 1. Let g(z) = 15*z**2 - 2*z + 1. Calculate g(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -13*p**6\/60 + 11*p**5\/12 + 42*p**2. Find the third derivative of r(c) wrt c.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -8\/7*d + 0*d**2 + 2\/21*d**3 - 26. Find w such that q(w) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 201. Let v be p(0). Suppose 4*w + 3*o - v = -2*o, -3*w + 177 = -5*o. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2128 by -28.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 570058.2 millilitres to litres.\nAnswer: 570.0582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - v + 3*v)*(0*v + v + 10*v + (-v + v - 2*v)*(3 - 2 + 1) + 0*v + v - 18*v) to k*v**2 + l*v + j and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 13*d**3 - 12 + 6 + 6.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -79755*x + 9570598. Give i(120).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) -2\/3 (b) 1\/7 (c) 2\/5 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9*(-12 + 2) + -1 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30939*i = 30881*i. Solve -13*s - 35 + 139 = i for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, p: 4, g: 2, l: 2, d: 2, u: 2}. What is prob of picking 2 d and 1 l?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:56 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 457 = 3*w. Let s be 2\/(-7) - w\/(-35). Suppose -32 + 0 = -2*m + 2*v, 0 = -s*m - 5*v + 28. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 3:10 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3828*c**2 - 19*c + 3825*c**2 - 1 + 1 to s + i*c**2 + a*c and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Let v(l) = 4*l. Let n(w) = -9*g(w) + 4*v(w). Let j(t) = -11*t**2. Calculate j(n(f)).\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*m - 3*j, -4*m + 18 - 7 = 3*j. Let y = -0.198 + 1.198. Which is smaller: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v + 4*b - 54, 16 = -4*b. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2529.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-39)\/26)\/((-2)\/4). Let s be 30\/h*2\/(-25)*-5. Solve -5*k - s = -2*z - k, -5*k = 5*z + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**28)\/p)\/(p\/(p*p*p*p**(8\/13)*p))*(((p\/p**(-4\/11)*p*p)\/p)\/p)**(-22))**(4\/11) assuming p is positive.\nAnswer: p**(136\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 42. Suppose w = -w + 5*j - 25, o*w = 2*j - 10. Suppose 4*h + q - 12054 = -0*q, w = h - 3*q - 3007. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (114\/(-12))\/(35\/140*6)\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*n + 362 + 298 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 53*c**3 - 103*c**2 + 51*c.\nAnswer: -c*(c - 51)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4107233 by -13.\nAnswer: 315941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/4*h**2 - 78*h - 31 = 0.\nAnswer: -62, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(2\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 0.7, -1\/206, 3\/26 in decreasing order.\nAnswer: 0.7, 3\/26, -1\/206, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**3 - f**2 - f + 2. Give s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43786 - 21237. Is 27 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*j = -o + 14, 2*o = 3*j - 13. Which is smaller: 7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10012410 (base 5) in base 10?\nAnswer: -79105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*c + 22*c + 13*c in the form y*c + o and give y.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a day in hours?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5*h - 21, 4*h + 4 = -5*u + 82. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 80771 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 597*j**5 + 572*j**3*t**2 - 11*j*t**2 + 3*j*t - 3*j + 441*t**2 wrt j?\nAnswer: 11940*j**3 + 3432*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286293 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (93 + 0)\/(7\/7). Suppose -a + n = -62. Is 54 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 4, z: 5}. Give prob of picking 1 z and 1 t.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 123335560667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 1. Let l(k) = k + 2. Let j(z) = -4*f(z) - 3*l(z). Let v(i) = -2*i + 5. Give -11*j(a) - 4*v(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 10) in base 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 259255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(1\/3)\/d*d*d**(-4\/11) assuming d is positive.\nAnswer: d**(32\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -46 and -52 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**2 + r + 1. Suppose 2*y = 3*y - 5. Suppose y*u + 4 = u. Determine m(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 7*r**2 + 8*r + 1. What is the hundreds digit of h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455701334 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.07.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (46 + 0)*7\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h - 15 + 4 + 27 - 16.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 177 - (45 + 47) - 14\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 24. Let u be (16\/80)\/(8\/x). Let j be 3*30\/228 - (-4)\/38. Which is the smallest value? (a) 0.6 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 7:51 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000184904 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 221*x - 217*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b4893 (base 14) in base 2?\nAnswer: -101110000110111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 777686.\nAnswer: 3\/777686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3535105537.\nAnswer: 59, 193, 283, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067005887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000101010100110 (base 2) in base 10?\nAnswer: 297638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1.09, -2, -442\/29 in descending order.\nAnswer: -0.1, -1.09, -2, -442\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**3 - 6*o**2 - 6*o + 160. Let i(p) = 11*p**3 - 14*p**2 - 14*p + 319. What is -3*i(x) + 7*l(x)?\nAnswer: 2*x**3 + 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4863 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 12. Suppose x - 4 = -2*x - m, -4*x - m + t = 0. Suppose x*w - 20 = -w. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018451?\nAnswer: 7, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20222264?\nAnswer: 2, 683, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*h**2 - 34*h - 36*h**2 - 30*h**2 + 94*h**2 to u*h + s*h**2 + b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 1*sqrt(117))*6 + 1*-2*sqrt(117) + sqrt(117))\/(5*sqrt(27)\/((sqrt(27)*-1)\/sqrt(9))).\nAnswer: -11*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 98 = -42. Suppose 4*v - f = -4*a, -v - 15 = -3*a + 2*v. Suppose 0 = 7*y - a*y - 34. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyzjyjzyyyyzzyyzzjzz. Give prob of sequence yjz.\nAnswer: 32\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:50 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.04, -0.5, 0.086, 1\/10 in ascending order.\nAnswer: -0.5, -0.04, 0, 0.086, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -591*o**4*u**2 + o**4 - 5*o - 8240*u**2 wrt o.\nAnswer: -7092*o**2*u**2 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, z: 7, f: 4}. What is prob of picking 2 i and 1 z?\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 309*n + 7423. What is u(-25)?\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.08 + 43.21. Sort u, 2, 1, 12 in decreasing order.\nAnswer: 12, 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/(v\/(v*v**(6\/11)*v)))\/(v*v**(-2))**(-11)*(v**(1\/3))**(-30)*(v*v\/v**(1\/10)*v)\/(v\/v**(-4)) assuming v is positive.\nAnswer: v**(-1711\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 + (-4 - 2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4298 - 0.0298. Which is the nearest to -1? (a) j (b) 1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366.2 - 322. Let b = -1.8 - c. Let a = 46.00102 + b. What is a rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6515\/42432 + 1\/3264. Suppose f*m**3 - 32\/13 + 14\/13*m**2 + 16\/13*m = 0. Calculate m.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 55 = -0*b. Solve -5*y - 2*q = -b + 3, 0 = -2*y - 4*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 5687, 2, -5 in descending order.\nAnswer: 5687, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n + 83*n + 20*n.\nAnswer: 88*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/7 (b) 3 (c) 2\/3 (d) -45\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 1. Let h(p) = -6*p - 1. Let k be h(-1). Let w be d(k). Let u be (w - -4) + 8\/2. Calculate the highest common divisor of u and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 - -178. Solve s + v = -2, -2*s - 2*s - v + z = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = 8. Let g(a) = -a**3 - 10*a**2 - 2*a + 5. Let o(c) = c**2 - 1. Let m(z) = v*o(z) - g(z). What is the units digit of m(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14805476.59 to the nearest ten thousand.\nAnswer: 14810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 119*w - 11. Let u be q(-1). Let c = -123 - u. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/10 and -1*278\/(-115) + 4\/(-20).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.59 - 22.41. Which is the nearest to 0? (a) -0.04 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 + 6*r**2 + r**3 - 43 - 45*r - r**2 - 61.\nAnswer: r**3 + 5*r**2 - 45*r - 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 1) + (-11 - -9). Let b(t) = -2*t**2 - 14*t. Let o = 10 + 2. Calculate the smallest common multiple of b(j) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**4\/12 - j**3\/6 - j + 2. Let g(n) be the first derivative of d(n). Find the second derivative of g(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2012?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/15139 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2, -3 in descending order.\nAnswer: 5, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 445526 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -12*t**3 - 9*t**2 + 63*t - 4. Let i(r) = 3*r**3 + 2*r**2 - 15*r + 1. Give 2*h(u) + 9*i(u).\nAnswer: 3*u**3 - 9*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50200 rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r - 2257*r**3 - 4*r - 171 + 867 + 578*r**3 wrt r?\nAnswer: -10074*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 t when three letters picked without replacement from {s: 1, v: 5, a: 2, g: 1, t: 5, l: 2}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 82 - 62. Suppose -5*l - o*n = -30 - 7, 31 = 5*l + 2*n. Suppose -l*k = 3*k - 704. Calculate the remainder when k is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3073 - 3073.000039746. What is l rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r = -80. Suppose l + 9*l = -r. Let q be (-425)\/(-500) - l\/(-8). Put 2\/3, q, -3, -0.4 in decreasing order.\nAnswer: 2\/3, q, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 250 and 1630.\nAnswer: 40750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 826.9376 + -827. Are x and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1383684 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26491275 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 13*o - 6. Suppose 0 = o*a - 29 + 23. Solve 4*p + a = 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 = 40. Suppose 0 = 5*w + 3*y - 0 - 1, 4*w + y = 5. Let n be 1*4\/(-6)*-3. Solve w*u + 4*a - 2*a = n, 3*u - 2*a + x = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let x be (-14 + 0)*(-3 + 44\/8). Let k be (f\/(-3))\/(x\/(-21)). Which is the closest to 0.1? (a) 1 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188 + 184. Put -137, w, -2, -5 in descending order.\nAnswer: -2, w, -5, -137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*f**4 + 82258*f**3 + 2508323 with respect to f.\nAnswer: -40*f**3 + 246774*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(5\/2))*u)\/u*u\/(u\/(u*u**(6\/13)\/u*u*u)))\/(u*u*u**9*u*u**(5\/4)*u) assuming u is positive.\nAnswer: u**(-743\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:25 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 2*m + 180 = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(4 - 4 + 2*x) + (-3 + x + 3)*(-4 + 0 + 2) + (-2 + 1 - 1)*(-2*x - 3*x + 4*x) - 4 + 4 - x + 0*x + 6*x - 4*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + sqrt(100)*1 + sqrt(100))*-6 - sqrt(100))\/(1*2*sqrt(2) + sqrt(242) + (sqrt(242) - sqrt(242)*1)).\nAnswer: -95*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*z - 8, 5*z = -2*n + 8 + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 1441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006355893 rounded to six decimal places?\nAnswer: 0.000636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(10 + (-310)\/30). Put z, 1, 13, 2 in ascending order.\nAnswer: z, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(14)\/sqrt(28) + 2) + (5 + sqrt(450))*-4.\nAnswer: -61*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*o - o**3 + 80*o - 77*o**2 + 77*o**2 + 13569 - 114*o to t*o**3 + b + l*o + d*o**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 + 6*x**2 + 7. Let u(v) = -v**3 + v**2 + v + 1. Suppose 0*d + 3*z + 21 = -2*d, 0 = -4*d + 3*z - 15. Determine d*u(s) + i(s).\nAnswer: s**3 - 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17688 and 74303?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*h + 32, -2*h - 5 = 5*t + 3*h. Let l(g) = -2*g**2 + 4*g - 1. Let n(j) = 4*j**2 - 7*j + 3. What is t*l(x) - 4*n(x)?\nAnswer: -2*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 334352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 14*n + 40*n - 3298386. What is the highest common factor of 78 and n?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3329227 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259091438?\nAnswer: 2, 129545719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -14 - (2 + -10 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1. Is 2\/(-6)*(-32 - f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21501 * -0.3.\nAnswer: -6450.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*i - 179 = -1661. Which is the closest to i? (a) -3\/2 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.257 - 0.3. Let h = d - -0.073. Round h to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 = -3*n - 4, -3*u = -2*n + 6. Let o = u - -5. Calculate the greatest common factor of 21 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -15 - 15 + 48 - 17. Let b be (-9)\/(-2)*40\/15. Let x(v) = 8*v + 2*v - 6*v - b. Give -10*i(w) - x(w).\nAnswer: -4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(304))*-2)**2.\nAnswer: 64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111.04383 + -0.1.\nAnswer: 110.94383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -23*s**3 - 3*s - 3. Let t(o) = -988*o**3 - 130*o - 130. Calculate 130*d(m) - 3*t(m).\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r + 4. Let v = 50 + 6. Suppose -4*n - 24 + v = -4*g, n + 2*g + 1 = 0. Calculate m(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and ((-13)\/(-39))\/((-1)\/(-27))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*g + 18, 2*g + d - 3*d + 12 = 0. Let n be 8\/12 - 38\/g. Differentiate n*o + 4*o - 2 + 0*o - 7*o wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, 3, -3 in increasing order.\nAnswer: -3, 1\/14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12167 and 0.2.\nAnswer: -2433.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -506.88 - -537. Let b = -189 - -218. Let y = b - t. Round y to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -273\nAnswer: -1\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 4, i: 2, y: 1, m: 3, u: 1}. Give prob of sequence cu.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58 and 0.0114.\nAnswer: -0.6612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.16 from 12043.\nAnswer: 12042.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822295 is divided by 455563.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**7\/42 - 3*v**6\/5 + 19*v**5\/2 - 113*v**4\/3 + 137*v**3\/2 - 65*v**2 - 2545*v. Factor t(k).\nAnswer: -(k - 5)*(k - 1)**3*(k + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 6 + -2 + -2 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9046 - 0.0954. Which is the closest to 8\/3? (a) -1\/8 (b) -1\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -2*i - 19*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g - g + 3*g)*(4*g - g - 2*g) - 635 + 821*g**2 + 319 + 318)*(3*g**2 + 6*g - 6*g).\nAnswer: 2460*g**4 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Let d(h) = h**3 - g*h**2 + 26*h - 26*h. Let o(q) = 3*q**3 - 5*q**2 - 1. Let b(m) = 5*d(m) - 2*o(m). Differentiate b(n) with respect to n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (-1 - 1) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -65, -156, -303, -524, -837, -1260?\n\"Answer: -3*a**3 - a**2 - 29*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4 = 3*u + 3*b, -16 = -4*u + 5*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven fifths of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1540882 divided by 104\nAnswer: -770441\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + o - 5)*(o - 8*o + o) + (-2*o + 2*o + 2*o)*(1 - 1 + 2*o) + o**2 - 2*o**2 + 3*o**2 + 3*o**2 - o**2 - o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1.6, -10, -3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -161.38 + 0.38. Let o = -162 - p. Which is the second biggest value? (a) 5\/4 (b) o (c) -1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1101059.91 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01695447513 rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let c(s) = -5*s + 6. Let b(a) = -c(a) - 4*d(a). Let t be b(5). Suppose 0 = -t*r + 14 - 2. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 2:25 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 12:15 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:02 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12062*x**2\/5 + 12604792*x\/5 + 418.\nAnswer: 2*(x + 1045)*(6031*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -44. Let m = 109\/3 + c. Factor 2\/3*d**2 + 0 + m*d + 1\/3*d**3.\nAnswer: d*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 3, 26952 in descending order.\nAnswer: 26952, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:32 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098860 a multiple of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1261\/(2 + (-5 - -4)*1). Round d to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*l - 16 - 16, 2*l = -4. Calculate the remainder when 73 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/8*(-10)\/15*-4\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-8 - (-9 - -10 - 17)) - (4 - 15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814996?\nAnswer: 2, 7, 13, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249559 is divided by 498?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8) + 275\/44. Find the first derivative of 5*m**4 + 1 + 5 + k*m**4 + 9 wrt m.\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4738, 3975, 2738, 1057, -1038, -3517, -6350?\n\"Answer: 5*s**3 - 267*s**2 + 3*s + 4997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-291*a - 20*a - 701*a)*(-2 + a + 1 + a) + (3*a + 2*a - 4*a)*(-2*a - 3 + 3).\nAnswer: -2026*a**2 + 1012*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 824546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66025 minus -0.1059?\nAnswer: 66025.1059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.4345.\nAnswer: 0.1738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-8))\/(-3 - -6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42471789 or -42471788?\nAnswer: -42471788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -10*z + 7*z + 2, -1 = -z + j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 20 - 41 + m + 3*m - 78 - 6*m. Let z(h) = h**2. What is z(t(k))?\nAnswer: 4*k**2 + 396*k + 9801","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/674 (b) 798\/29 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*j**2*r**4 - 13092*j**2*r**3 + 15*j**2*r - 2*j*r**2 - 14*r**2 - 7539*r wrt r?\nAnswer: 3912*j**2*r - 78552*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 + -133. Let m(c) = -5 - 2 - b + 17 - 2*c. Let q(j) = 6*j - 2. Determine 7*m(x) + 2*q(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 + 87. Suppose -5*j = 4*p - 5955, -z*j + 8 = -4. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648.4094 hours in nanoseconds?\nAnswer: 2334273840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-56)\/(-6))*3. Let r = p - -36. Suppose 8\/5*j**4 - 24\/5*j**3 + 0 + 18\/5*j**r - 4\/5*j = 0. Calculate j.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28768)\/1215448)\/(16\/234 + 4\/(-18)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -0.0263, 4\/167, 1?\nAnswer: -0.0263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -11*l. Let h(m) be the first derivative of m**3 - 19. What is p(h(s))?\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijp when three letters picked without replacement from jippippppppprp?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 1:22 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -109 (base 16) to base 15\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269595508.\nAnswer: 2, 317398877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-21\/5))\/o*o**(7\/10) assuming o is positive.\nAnswer: o**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*a**3*s**3 + 2*a**3*s**2 + 5*a**2*s**3 + 85*a**2 - 2*s**3 wrt a?\nAnswer: 558*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1877*k**3 + 935*k**3 - 18*k**2 + 35*k**4 + 941*k**3 - 4 - k to h*k**2 + p*k + d*k**3 + n*k**4 + s and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 3 = 5*h - 5*t, 5*h + 4*t - 9 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 1, s: 2, b: 1}. Give prob of sequence bpe.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u. Let l(q) = -2*q - 3. Let c(s) = -5*s - 8. Let b(z) = -3*c(z) + 8*l(z). Let k(h) = 4*h. Let f(d) = -22*b(d) - 6*k(d). Give f(m(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a - 4. What is the tens digit of w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 4*u**2 - 2. Let y(z) = -12*z**3 + 866*z**2 - 8. Give 4*k(a) - y(a).\nAnswer: 8*a**3 - 850*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 10*f + 4. Let m be z(-9). Let h(y) = -y - 2. Let w be h(m). Suppose w*s = -4*n, 3*n - s + 2 = 5*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + p - 12 + 4*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12719883 and 2312706?\nAnswer: 25439766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**3\/3 - 2*y**2 - 6*y + 13. Let i be p(-7). Let z(r) = 48*r**2 - 27*r. Let k(n) = 7*n**2 - 4*n. Give i*k(w) + 4*z(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11075.\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011963058 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + 4*(-5*2*sqrt(108)*3 + (1 + sqrt(108))*-2*-2)))**2.\nAnswer: -22464*sqrt(3) + 1168452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 350*n - 52847. Give m(151).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:06 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3311023 (base 4) to base 5.\nAnswer: 1000231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -3*s + 0*s**5 - 1\/3*s**4 + 0*s**2 + 1\/42*s**7 + 25\/3*s**3 + 0*s**6 + 13. What is the second derivative of y(c) wrt c?\nAnswer: 20*c**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 45203516*w**2. Let h(q) = -4*q**2. Give r(h(y)).\nAnswer: 723256256*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 - 2*m**2 - 3*m**2 + (-4*m + m + 0*m)*(m + 0*m - 1 + 2).\nAnswer: -4*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -21*f**5\/20 - 3*f**4\/2 - 14*f. What is the third derivative of n(l) wrt l?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyqyyyyyyyyyyy. What is prob of picking 1 q, 1 w, and 1 y?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -1 (c) -4\/129 (d) 0 (e) 0.44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 7:02 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/7 + 20*v**2\/7 - 34*v\/7 + 16\/7 = 0 for v.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2011445*n**3 + 5 - 1 + 2011276*n**3 - 3.\nAnswer: -169*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26.5057 times 14\nAnswer: -371.0798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - 7) + 29 + 14 + 0\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -2 + 29*3. Suppose -p + 6*p = t. Solve -g = -5*f - p, -14 = 4*f - g - 0*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 1. What is the highest common factor of p and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in 1\/133, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 1. Let s be (-2 - (-2)\/(-2)) + 8. Let z(r) = -r**2 + 4*r - 20. Let c(w) = s*z(w) + 20*f(w). Solve c(q) = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292 - 296 = -2*p, -4*p + 3*p + 333 = -t + 346 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490539 is divided by 807.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/3*2\/8*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 101211?\nAnswer: 101223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**2 + 15*s**2 - 23*s**3.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvzzvpzouov. Give prob of sequence oo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584881701.\nAnswer: 3, 2689, 72503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*b, -3*u + 6*u + 3*b = 0. Put -4, 11, u in decreasing order.\nAnswer: 11, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 + 792*g + 552. Determine a(159).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*p = -2*c - 2, -9 = 3*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + 14*f - 14. Let v(z) = z**2 + 5*z - 5. Let k be -2 - (-5 + -1 - 0). Let l(y) = k*i(y) - 11*v(y). What is l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (sqrt(198)*1*-1)\/sqrt(11))**2.\nAnswer: 90*sqrt(2) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -68899280.1 to the nearest 100000.\nAnswer: -68900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -51*x - 87. Let c = -167 - -159. What are the prime factors of t(c)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*g = 1141*g + 131016 for g.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(5\/2 - 2). Suppose l = -r*l. Let z = l + 8. Calculate the remainder when z is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 70 + 32. Suppose -19 = -5*w - 3*x, 0 = v*x - 19*x - 4. Solve -w*u = 18 - 38 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 - -21.97. Let o = 21.7 - c. Let b be 7\/6*2\/14. Put o, b, -1\/4 in increasing order.\nAnswer: o, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3\/(-1))\/(-3)*-212*(-303 - -301) and -3 + 1 - (-16)\/2?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:12 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9679949 litres in millilitres?\nAnswer: 967.9949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 5. Suppose -9*o = -15*o + 12. Let t be b(o). Factor 2\/7*p + 0 - 2\/7*p**5 + 4\/7*p**2 + 0*p**t - 4\/7*p**4.\nAnswer: -2*p*(p - 1)*(p + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0, 2072, -0.3, -1\/3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) - (-3 - -3)\/2. Let n = 107 - 121. Which is the third biggest value? (a) 0 (b) 5 (c) t (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-16))\/(16*(-12)\/(-768))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24495956?\nAnswer: 2, 83, 73783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -q + 1, -5*q + 3*w - 9 - 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*n = 3*n + 15, 0 = -2*v + 3*n + 6. Suppose v*o - o = 0. Suppose -5*q = 4*k - 472, o = 4*k + q - 101 - 371. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - 5*x + 16*x + 3*x - 4. Let z be q(1). Suppose -1 - z = -w. Solve 12 + w = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pss when three letters picked without replacement from tstpspsvstvssvpss?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y + 3. Let c(o) = -15*o - 5. Calculate -7*b(f) - 4*c(f).\nAnswer: 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1410.506ng to tonnes.\nAnswer: 0.000000000001410506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 8:19 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*n + 0*n + 16*n)*(-n**3 + 3*n**3 - 3*n**3).\nAnswer: 17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -3*s**2 + 16*s + 4*s**2 + 2 - 2*s**2 + 0. What is the first derivative of o(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8011079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 108, 108, 86, 36?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, 163, 1450, 4137, 8734, 15751?\nAnswer: 25698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u - 3*u + 4 + 3 + u**2. Suppose 3*d - 8*d + 35 = 0. Let j be w(d). Solve 4 = -j*f + f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 293. What are the prime factors of y(41)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 0, 4, 230182 in descending order.\nAnswer: 230182, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/330 and 131\/240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/16 and -63\/46.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/225 and 62\/5.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -22. Let x = s + -17. Suppose x*y + 3*y + 25 = 5*n, 5*y + n - 5 = 0. Solve 5*q + 28 = 3*j - y*q, j - 16 = 3*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.1 from -1816453705.\nAnswer: -1816453706.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(54) + sqrt(6)) - (sqrt(15)\/sqrt(3) + -5 - sqrt(5))) + 2)**2.\nAnswer: 7*sqrt(5)\/2 + 789\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 1\/35, 0.5, -0.4, -3, 0.08?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and 61.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 9:12 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from fmv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 f when four letters picked without replacement from jfjjjjjjffj.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11120 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -304*a. Let k(s) = -67*s. Determine k(u(v)).\nAnswer: 20368*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/14 and -13\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4890421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38759*f = 38711*f - 1824 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 7:58 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1553.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*d**3 + 7*d + 10.\nAnswer: 36*d**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.3 minus -10.27?\nAnswer: -28.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/2)\/7*(-12)\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582041 is divided by 133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -26\/9 (c) 0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 7*z**2 - 21*z + 31. Give o(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 + 0*f**3 + 0*f**3 - f**5 + f**2 - f**2 + (f - f - 2*f**4)*(1 - 3*f - 1) - f**5 + 3*f**2 - 3*f**2 + (-3 + 0 + 2)*(2*f**5 + 2*f - 2*f).\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -10, -4*w - 3*c + 8 = 0. Suppose -2 + w = i. What is the remainder when -18 + 35 + -12 - (-2)\/(-1) is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 176*w**6\/15 - 769*w**3\/6 + 3*w**2 - 521*w. Differentiate h(d) with respect to d.\nAnswer: 4224*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -3\/2*i**2 + 0*i + 5. Let v(h) = 9*h - 8 - 3 - 2 + 13. Calculate a(v(d)).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 37*b**4\/4 + 146*b - 174. Differentiate t(q) wrt q.\nAnswer: 111*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -32, -0.5, 3\/8, 21, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -644 - -652. Let g(n) = -2*n + 12. What is the remainder when g(-9) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**8\/1344 + s**7\/140 - s**6\/240 - s**5\/20 + s**4\/96 + s**3\/4 - s**2 + 3. Find k, given that n(k) = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + (sqrt(176) - (-1 + sqrt(176)) - (sqrt(44)*1)\/sqrt(4)) + 1 + sqrt(1584) + 1))**2.\nAnswer: 1584*sqrt(11) + 12555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 2*h**2 - h**2 + (3 - h - 3)*(-2*h - 1 + 1) + 2061*h**2 - 812 + 812 to b*h + c + r*h**2 and give r.\nAnswer: 2065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8.218 times 202\nAnswer: -1660.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 1\/10*t**2 + 1\/20*t**4 + 1\/10*t**3 - 2*t + 1\/100*t**5 - 1. Let l(b) be the first derivative of s(b). Factor l(v).\nAnswer: (v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1358 = -2*r + 378. Let n = -400 - r. Is 30 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.29 (b) -0.2 (c) -4 (d) -1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(1331) + sqrt(1331))**2.\nAnswer: 11979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748\/12 - 2\/6 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - w + 100048, 0 = -4*x + 3*w - w + 133414. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35454000 to the nearest 1000000.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/138 and -107\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -12\/7, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1457\/24 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**3\/6 + 250*p**2 + 2*p. Let z(q) = -12*q**3 + q**2 + 5. Calculate 5*w(h) + z(h).\nAnswer: -12*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19607 and 210075.\nAnswer: 1470525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1783 smaller than -1783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -693814 - -1223814. What is x rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2. Let g(q) = -5*q**3 - 8*q**2 + 6*q - 5. Let b(k) = g(k) + 6*o(k). Let n be b(4). Suppose 29*z + n = 30*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6993675 + 8.\nAnswer: -6993667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 11730?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2761*f**3*j - f**3 + f**2*j + f**2 - 61690*f*j wrt f?\nAnswer: -16566*f*j - 6*f + 2*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 - -595\/4. Let z = 9 - 4. What is the nearest to -1 in z, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k + 12 = 59*k. Solve -k + 15 = -13*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 3)*(-2*p**2 - p**2 + p**2) - 2*p**2 + p**2 + 3*p**2)*(5*p**2 + 4*p**2 + 3*p**2).\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*g**2 - 20*g**2 - 55*g**2.\nAnswer: -148*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 811*w**5\/20 + 5*w**4\/3 + 5*w**3\/3 - 56*w + 3. Find the third derivative of c(o) wrt o.\nAnswer: 4866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506902 rounded to the nearest ten thousand?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (9055\/(-202832))\/(2\/(-64))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -59.9969. What is z rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(19) - (1 + sqrt(19))) + sqrt(19))*1 - (sqrt(57)\/sqrt(3) + 5)))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14769 is divided by 7350.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 358200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12173 - (-2 - (24 - 8)).\nAnswer: 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Suppose m = 2*w - 6 - 11, -k*m - 23 = -3*w. Let q = 59 - w. Round q to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 32*c - 31*c - 650, 4*c = -3*s + 980. Calculate the lowest common multiple of s and 44.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -22*t**2 + 24*t + 176. Let z(r) = 2*r**2 - 2*r - 16. Suppose -h - 42 = 26. Let u(j) = h*z(j) - 6*p(j). Factor u(d).\nAnswer: -4*(d - 2)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 476 and 3060.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.9+-1.17820601\nAnswer: -3.07820601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. What is the second derivative of z*y - y**3 - y**3 - y**3 wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3, 39, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10473.\nAnswer: 3, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + sqrt(810)*-1)\/(sqrt(2) + sqrt(16)\/(sqrt(8) + sqrt(16)\/sqrt(2))))**2.\nAnswer: 1280\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -59, -6, -7 in descending order.\nAnswer: 10, -4, -6, -7, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least 112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 9*n - 2. Let j be (7 - 5)\/(n\/3). Solve -5*h = -3*s - 3, -h - 3 = -j*s - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277881209 to the power of 1\/3, to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -2967*r**5\/20 + 744*r**2 + 1807*r + 2. What is the derivative of v(u) wrt u?\nAnswer: -8901*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(5\/9)*r*r**(-7))**(-6\/5))**(-21) assuming r is positive.\nAnswer: r**(-686\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b + 12*b + 28*b + (0 + 0 - b)*(-2 + 0 + 0) + (-2 - 1 + 1)*(4*b - 2*b + 0*b).\nAnswer: 47*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 6*n - 27. Let b(h) = -h - 14. Let x be b(-22). Let a be v(x). Let d(u) = u**3 + 11*u**2 - u + 2. What are the prime factors of d(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = r - 5*u, 55 = r + 4*r - u. Suppose 2*l + f + 1 - 2 = 0, -3*l - 4*f = 6. Calculate the common denominator of l + -5 + 141\/r and 77\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c. Let q(a) = 4*a**2 + 83*a + 55. Let m(l) = 5*l**2 + 86*l + 73. Let x(b) = 3*m(b) - 4*q(b). Calculate x(j(w)).\nAnswer: -25*w**2 + 370*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -22*q**3 - 37*q**2 + 23*q + 85. Calculate k(-3).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73 by 189.\nAnswer: 73\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1\/4)))**(-11)\/(g*g**3*g)**(-1\/2) assuming g is positive.\nAnswer: g**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/27937 - -4162541\/2011464. What is the common denominator of y and 1\/(-2) + 64\/(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9656.971ml?\nAnswer: 9.656971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 9, -7544, 0 in decreasing order.\nAnswer: 87, 9, 0, -7544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, 81, 245, 479, 783?\n\"Answer: 35*u**2 - 11*u - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -5 (c) 4 (d) 4.082 (e) 0.89 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**6\/600 - r**5\/25 - 3*r**4\/10 + r**3\/3 - 33. Let x(p) be the third derivative of h(p). Factor x(k).\nAnswer: -3*(k + 2)*(k + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/3 - 6*w**3 - 346*w**2\/3 - 210*w - 304\/3 = 0.\nAnswer: -8, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2188 - 2173. What is the remainder when 8262 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2092709440.3 to the nearest 10000.\nAnswer: -2092710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000056605 to 7 dps.\nAnswer: -0.0000566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -360 - -717. Let u = q - 253. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2*5\/((-4815)\/(-7276)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.3 - -8.3. Let u be 5\/2 + 3\/(-1). Which is the biggest value? (a) l (b) 4 (c) u (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmyvh. What is prob of sequence yvm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 1. Let h be c(-2). Let i(g) be the first derivative of -3 - 23 + 3*g**h + 11. Let q(f) = -f**2. Calculate i(q(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -24\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 3*h**2 - 5*h + 2. Let v(q) = q**2 + 4*q - 2. Let t = 14 + -10. Suppose 0 = -z + t*g - 9, 6*g = -z + g. Let i be v(z). Determine j(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240966 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161 + -585. Let w = x - -919. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1960309.\nAnswer: 13, 101, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8024 + 265*z**3 + 137*z**3 - 8024.\nAnswer: 402*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 2*s - 3. Let l be y(4). Suppose b = l*b - 684. Is -2*(0 - b\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/2253 and 77\/321117?\nAnswer: 241158867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 72\/15*20\/6. Calculate the highest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 3, 62.\nAnswer: -1, 3, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*x - 98*x + 22 = -d, 3*d = 3*x. Factor -1\/2*q**2 + d*q - 121\/2.\nAnswer: -(q - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Suppose -r - r = d*g - 146, g = -1. Find the common denominator of (r\/(-16))\/(-3 - -2) and -39\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259*n**3*y - 16*n**2*y - n*y + 103*y wrt n.\nAnswer: 1554*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 605694317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = x, 4*n + 14*x = 17*x. Let y(m) be the third derivative of 7*m**2 + 0*m**3 + n*m + 0*m**4 + 0*m**5 + 0*m**6 + 2\/105*m**7 + 0. Factor y(l).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*d - 62320 = -673*d - 2748*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1548057322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - p - 259 = 0, -3*x + 2*p - 44 = -301. Suppose 0 = -g - 2*s + 26, 9 + 23 = 2*g - s. Calculate the remainder when x is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(3\/2))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 350.10833 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 3. Suppose 0*v - 5*v + 13 = 3*y, -v + 3 = y. Let z be g(y). Factor -2\/3*h**3 + 10\/3*h**z - 6 - 2*h.\nAnswer: -2*(h - 3)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*f - 45 = 0, -4*m - f - 4 = -29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2911761 by 323529.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1166 and 97\/814.\nAnswer: 43142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 529*g. Let l(u) = -237*u. Determine l(f(r)).\nAnswer: -125373*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4110*r - 713. Is q(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 51 = 3*m, 7*m - 2*m = -a + 19. Suppose -4 + a = -i. Let d(f) be the first derivative of -f**4\/4 - 5*f**3\/3 - 3*f**2\/2 - 6*f - 1. Determine d(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1351643*u**2 + 238406*u - 1 wrt u?\nAnswer: 2703286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 4 - 4. Let a(l) be the third derivative of -3*l**4\/4 + l**3\/3 + l**2 - 635. Determine a(i(f)).\nAnswer: 36*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 698?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 5 = 5*v - 15*m, -20 = 5*m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 951 and -2.5?\nAnswer: -2377.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(132)\/(2*sqrt(1200)).\nAnswer: -3 + sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 9*l**3 + 7 - 2*l**3 + 6 - 3*l**3 + 3*l**3 to q*l**2 + g*l + w*l**3 + a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5434 - 5?\nAnswer: -5443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101.3578 centuries to decades.\nAnswer: 1013.578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67974? (a) 0.1 (b) -0.3 (c) 0.37 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a factor of 4505526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 30*z - 24. Let r be f(14). Suppose -4*p - r*c - 16 = -9*c, 4*p - 24 = -5*c. Is p not equal to -1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2214452 (base 6) to base 5.\nAnswer: -12024300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvon when four letters picked without replacement from oqnvovtnytovottnt?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 373 and -31050?\nAnswer: 31423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 + (-3 - (-1 - 2)). Suppose -3*d + 14 + 70 = i. Calculate the remainder when 83 is divided by d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28755586 and 14.\nAnswer: -28755572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395576 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 119781727 to the power of 1\/3, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - 46. Suppose -42 = z - 3*k, 3*z + 134 = k - 0*k. What is the remainder when ((-14)\/3)\/(6\/z) is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10498239 is divided by 3095.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 - r**4 - 3*r**4)*(0 - 8 + 1)*(-3 - 5 - 2).\nAnswer: -140*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 - 3*o**4 + 3*o**5 + (0*o**2 + 0*o**2 + o**4 + (o**3 + 2*o**3 - o**3)*(-2 - o + 2) - 2*o**4 - 5*o**4 + 5*o**4)*(-3*o - 16 + 16)*(8 - 14 + 2).\nAnswer: -33*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 8 + 8)*(-3*y + 2*y - y)*(2*y**2 - 2*y**2 - 2*y**2) - 3*y**4 + 5*y**4 - 3*y**4.\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3427451454?\nAnswer: 2, 3, 7, 151, 540437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 15*x**5 + 24*x**2 - 7. Let h(y) = -6*y**2 + 10*y**5 - 10*y**2 - 20*y**5 + 5. Let w(t) = -7*h(t) - 5*l(t). What is the third derivative of w(k) wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((1 - 1) + (26 - (25 + 7))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 13 + q**3 + (8*q - 8*q + q**2)*(-7 - 9*q + 7) to the form o*q**3 + v + n*q + l*q**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 3 - -31 - (-3366 + 3317)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -29 + 115. Let d = t + 51. Is (1 - (-140)\/d)*26 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 0, -32, -102, -222, -404, -660?\n\"Answer: -2*r**3 - r**2 + 11*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**7\/98 + 3*p**5\/140 - 4*p. Factor t(g).\nAnswer: -3*g**3*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Suppose 2*i - 22 = -12. Let l(h) = -i*h + h + 0*h. Calculate p(l(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {w: 7, l: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 7 - 29*b**2 + 18 - 6 in the form o*b**2 + p*b + y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 2*f**2 + 4*f + 6*f + 3*f**2 - 4*f**2 - 2*f**3.\nAnswer: -2*f*(f - 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(42)\/sqrt(6)*-6 - sqrt(7)) + (0 + sqrt(175) - (sqrt(28)*1 + sqrt(28))))*4.\nAnswer: 172*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(((sqrt(24)\/sqrt(2) + sqrt(3))**2 - sqrt(3)) + (sqrt(3) - (sqrt(3) - (sqrt(3) - sqrt(36)\/sqrt(192)))) + sqrt(3)) + -4).\nAnswer: 15*sqrt(3)\/2 + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10305181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/15 and -31\/138060.\nAnswer: 138060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.043 from -9821459411.\nAnswer: -9821459411.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 36. List the prime factors of c(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nshiyhsnsh. What is prob of picking 1 s and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2445.\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-23)\/(-22) - 1). Let s(z) = 22 - p - z. Let n(w) = 1. Let y(x) = x**2 + 6. Let o(g) = 6*n(g) - y(g). What is s(o(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 284943540 divided by -2\nAnswer: -142471770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/76*38 - ((-38)\/(-8) - 0). Let w be 10\/3*(-9)\/(-6). Which is the third smallest value? (a) u (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/8858139 and 113\/61302?\nAnswer: 17716278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -18*n + 2028. Determine s(110).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-212*c**3 - 100*c**3 + 76*c**3)*(-3*c + 0*c + 2*c) - 3*c**4 + 0*c**4 + 5*c**4.\nAnswer: 238*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 5\/8 (c) 10305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 4*c = 2*m + 4, -4*m + 1 = 5*c. Suppose -x + 4*z + 2 = 0, 4*x + 9 = 3*z - m*z. Let y be 5\/(-15) - 4\/6. Is x at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25960506 and 14?\nAnswer: 181723542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415, -2469, -6197, -11599, -18675?\nAnswer: -27425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1607739 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(-2*n - 2 + 2) + 0*n + n + n + 3*n + 2*n - 15*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 172*h + 159*h - 2.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*(-24)\/(-496)*(-4)\/(-16)*12.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-66)\/4)\/(-11))\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4801*c**2 - 5*c. Let b be o(5). What is b rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 3, -4*q + 12*w = 7*w + 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12989287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 42. Suppose 5*q + 3 = -x*b + 18, -2*b = -4*q + 12. Solve -r - 2 = -b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/3 - m. Let d(n) = 13*n**2 + 4*n**2 + 50*n - 16*n**2 - 164 - 164 + 328. What is w(d(v))?\nAnswer: 4*v**4 + 400*v**3 + 10000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1637*f. Let z(n) = n**2 + 146*n. What is u(z(d))?\nAnswer: 1637*d**2 + 239002*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**3 + 6345*i**2 + 31570*i - 37920 = 0.\nAnswer: -1264, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67014 divided by -4?\nAnswer: -33507\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + 2*sqrt(2057))**2 - (2 + sqrt(2057) + sqrt(2057) + 2)**2) + (1 + sqrt(612) - (sqrt(68) + 0 - sqrt(68)))**2 + 1)*-6.\nAnswer: -3594 + 1248*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -d - 252, 5*z - 1125 = -4*d + 135. What is the least common multiple of z and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 9*z - 2 = 0. Let h = 7 + z. Solve -h*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 1.4, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5859, 26244, 61171, 110640, 174651, 253204, 346299?\nAnswer: 453936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11933 or 131248\/11?\nAnswer: 131248\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 65899*h. Let g(c) = 13*c**2. Calculate k(g(l)).\nAnswer: 856687*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, 2.1, -1317, 0.4, 53, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01284 + 2.12.\nAnswer: 2.10716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r. Let d be m(-1). Suppose -1 = -2*c + 21. Suppose 4*x - 9 = 4*j + c, -39 = -3*x - d*j. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020161559 rounded to seven dps?\nAnswer: 0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**2 + f**2 + 3*f**2)*(-2 - 1 + 1) + (4 + 4*f - 4)*(f + 6*f - 6*f - 1) as g*f**2 + c*f + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 9604?\nAnswer: 9604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.05 or 406?\nAnswer: 406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 746, 3045, 6970, 12599, 20010, 29281?\nAnswer: 40490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3178*t**2 + 60*t + 100. What is the ten thousands digit of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 18\/6605?\nAnswer: 18\/6605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:45 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -14, 5, -1\/7, 2\/17, -7 in decreasing order.\nAnswer: 5, 2\/17, -1\/7, -7, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*1*(-8)\/12. Suppose 0 = x*p - 5*p + 15. Let h(a) = -a**2 + 6*a + 7. Calculate the remainder when h(p) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - 3*u**2 + 0*u**2)*(-2 + 0 + 0) - 4*u**2 + 2*u**2 + u**2 - u**2 - 2*u**2 + u**2 + 10*u**2 - 7*u**2 - 7*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 201127798, 402255598, 603383398?\n\"Answer: 201127800*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 858.556 to the nearest ten.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6948666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftttnntnt. What is prob of sequence ftn?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 1262699?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*q**2 - 4*b**2*q - 103*b**2 + 114*b*q**2 - 3*b*q wrt b.\nAnswer: 6*q**2 - 8*q - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.1, -4\/131, -2\/13 in descending order.\nAnswer: -4\/131, -2\/13, -12.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 5*u - 4. Let z be m(-4). List the prime factors of z\/6*(-15 - -33).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 e when four letters picked without replacement from {h: 1, l: 1, w: 3, e: 5, q: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 5*x**2 + 5. Let v be q(-5). Let o be (-3 + 4)\/((-1)\/(-22)). Suppose -v*b + o = -3*b + 3*y, -3*y = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1422 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.81 - -0.19. Put -5\/6, q, 0 in decreasing order.\nAnswer: q, 0, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4838 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3464805\/502 - 6902. Let i = 3005\/3514 + x. Which is the second biggest value? (a) 2 (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4794*o + 1794*o - 9028*o - 4305*o as q*o + a and give q.\nAnswer: -16333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + (-89 - -78 - (2 + -20)) - -7?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + z - 11, 3*c - 135*z - 27 = -140*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1981 and 65201185.\nAnswer: 65203166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2057, 8240, 18543, 32966?\n\"Answer: 2060*l**2 + 3*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19a (base 11) in base 2?\nAnswer: 11100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 28*r - 95. Let k be o(-20). Sort 5, k, -5, 1 in decreasing order.\nAnswer: k, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120981347 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + 555?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 11100000010111001?\nAnswer: -11100000010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -645711.6 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3095 + 3098. Which is the closest to 5? (a) v (b) 0.4 (c) -2\/7 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a + 20 = 0. Suppose -2*n + 14 = -n. Calculate the least common multiple of n and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19580 - 392?\nAnswer: 191aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*y = -2043, 1327 = 2*m + 68*y - 73*y. Calculate the highest common factor of m and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-14))\/(34\/7 - 5). Let f = -91 - -94. Suppose t**j + 1\/3*t - 1\/3*t**f - 1 = 0. What is t?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = i + 2. Suppose -2*u - 2 + 30 = i*a, -a + 3*u - 7 = 0. Suppose 3*l + 60 = r - l, 0 = -r - a*l + 15. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 575424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 461 - 909. Let g be 1\/(-10) + 1449\/(-210). What is the units digit of (g\/(-2))\/((-7)\/b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3672*o - 3701*o = -969064. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 41 = -4*i - 103, -56 = -q + 4*i. Let k = -3 + q. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 + (3 - 3 + 2)*(-1 + 0 + 2) - 5 + 4 + 3 + 3 - 28 - 4 + (-1 - 2 + 4)*(2 - 2 + 2) - 3 - 1 + 2)*(3 + 1 - 2)*(2*w - 5*w + w).\nAnswer: 96*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 18*j**2 - 23*j + 60. What is the tens digit of z(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:30 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**3 - 3*w**3 + 9*w**3.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(448) + (sqrt(28) - sqrt(28)*-1)*-2)\/(sqrt(144)*-2*1).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 548 or 551?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9 = 2*j - 5*j, c - 4*j - 11 = 0. Put -6, -4, c in decreasing order.\nAnswer: c, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2 - 12 = 0. Suppose 2*s = -3*s + 5*n + 1565, 4*s - a*n = 1260. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 748 - -303. List the prime factors of i.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24437 (base 9) in base 3?\nAnswer: 211111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -t + 3*v + 9, -t + 4*v = -24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h - h)*(h**3 - 3*h**3 - 2*h**3) + 5*h**4 - h**4 - h**4.\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/420 + u**5\/210 + u**4\/42 - 244*u**2. Let p(w) = 0. Calculate w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = 12, m + 2 = -z. Let o = -8 + 11. Suppose 0*a + a = 25. Solve z*g = 2*y - o - 7, -5*y - g = -a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10509 and 145266.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297628023 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-129 - -64) + -13 - -76)*(-1)\/19*-2\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 9:16 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 59*u + 172. Is v(5) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1380*r**2 + 110414*r + 1116. Give j(-80).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*z = 126*z - 64*z - 5*n + 10, 4*z = 3*n - 52 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349758, -349735, -349710, -349683, -349654?\nAnswer: -349623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143050 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 2) to base 16.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 320300.\nAnswer: 17\/320300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.035 in 0.2, -2\/11, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(5000) - (sqrt(5000)*2 + 1) - -3*(sqrt(5000) + 0)) + sqrt(5000) + (sqrt(5000) - sqrt(5000)*2)*-6 + sqrt(5000) + sqrt(5000) + 0 + 2))**2.\nAnswer: 17600*sqrt(2) + 9680016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 8:41 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3\/7 + 87894*r**2\/7 - 1143171*r\/7 - 175866 = 0. What is r?\nAnswer: -29311, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1942a13 - -4?\nAnswer: -1942a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7 = -4*f + 2, -4*f = 8. Let m be 6\/(-15) - 34\/(-10). Solve m*b - u = 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.062, -0.028, -0.3?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1832603 * -0.1\nAnswer: -183260.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b5 - a?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66052026 - -13544974. Round z to the nearest 1000000.\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 6899902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*n = 0, d - 3*n - 25 = -d. Suppose d*l - 2*b - 5 = 0, 2*l - b = 4*b - 19. Calculate the remainder when (7 - 0\/3) + 0 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1842 and 237?\nAnswer: 145518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(1 + -2))\/(-3 + 2). Let x(r) = -r. Give x(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102336*h**3 - 204659*h**3 + 102331*h**3 + 15*h**2.\nAnswer: 8*h**3 + 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 11, m: 2}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -173582 (base 10) to base 5\nAnswer: -21023312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0092 and -0.6.\nAnswer: -0.6092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 4\/5, 9.29337?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 2*u**7\/525 - 34*u**6\/75 + 1156*u**5\/75 - 31*u**2. Factor h(i).\nAnswer: 4*i**2*(i - 34)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404*u - 1371*u = -429 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2. Let f(k) = 180383*k**2 - 28593. Let s(q) = 341*q**2 - 54. Let j(l) = 2*f(l) - 1059*s(l). Determine j(u(d)).\nAnswer: -5648*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 - -183. Suppose -6*t + 625 = -3*x - t, 4*t - 844 = 4*x. Let n = -207 - x. Calculate the smallest common multiple of n and b.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54809, 109606, 164403, 219200, 273997, 328794?\n\"Answer: 54797*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - i = 6, 4*i + 4 = -26*s + 30*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49\/20 + -9\/4. Which is the second biggest value? (a) 3\/2 (b) 1\/3 (c) h (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3*l = -26, -11*y + 12 = -8*y + l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149692882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 44*r**2. Let x(g) = -16*g - 20*g - 18*g + 55*g. Calculate x(d(n)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6598438 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171227 and 1403?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + 69 + -74?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 636*l**3 - 9171*l**2 + 3765*l - 378 = 0.\nAnswer: 9\/53, 1\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-410)\/(-2255))\/(2\/(-14))?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1405 * -316.03.\nAnswer: 444022.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*5\/(-30)*-1. Suppose 14 = 5*h - n. Suppose h*q - 18 - 6 = 0. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 41. Let l = b + 107. Let i = 128.9999947 - l. Round i to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104 or -103?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k + 16 = 0. Suppose k*d - 26 = 34. Differentiate 20 - 4*i**4 - d - i**4 wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 10. Let w(v) = v + 16. Let y(r) = -3*u(r) + 2*w(r). Let s(i) be the second derivative of -i**3\/2 + 2*i**2 + 6*i. What is 4*s(f) - 9*y(f)?\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 317*p - 1544*p - 1678*p + 2747 - 4899*p wrt p.\nAnswer: -7804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 71\/10 - 9\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2083, 4201, 6361, 8587, 10903, 13333?\nAnswer: 15901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24 - 175\/10) + (-3)\/6. Suppose 146 = 5*t - 4*v - 318, 3*t = 4*v + 272. Suppose -c*m = -8*m + t. What is the highest common divisor of 36 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 5*h**2\/2 - 12. Let w(k) be the first derivative of 5*k**2\/2 + 2. Calculate v(w(r)).\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 0*h**7 + 1\/56*h**8 + 0*h**6 + 0*h**3 + 0*h**5 + 0*h**2 + 3*h + 0 - 1\/6*h**4. What is the third derivative of a(m) wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 11*d - 2. Let y be k(10). Let x(n) = -2*n - 3. Let g be x(-3). Suppose -y*l + 4*w + 42 = -g*l, w = -4*l + 42. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 2. Let j = -3.1 - v. Let l = -0.1 + j. Which is the second biggest value? (a) l (b) 2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*h + 5 = -67, 0 = 2*l - 3*h - 49. What is the remainder when 115 is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5407 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4100 - 1105231?\nAnswer: -1113331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -30*p**4 + 82*p**3 - 29*p**2 - 23*p. Let x(l) = 147*l**4 - 411*l**3 + 144*l**2 + 117*l. Let k(q) = -29*j(q) - 6*x(q). Solve k(n) = 0 for n.\nAnswer: -1\/2, 0, 5\/6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-2\/11)*(l**9\/l)\/(l\/(l*l**(3\/14)*l)) assuming l is positive.\nAnswer: l**(1391\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 4*j**2 + j - 3. Let k be f(-3). Let b(c) = -k - 2 + 3 + 4 + c. Calculate b(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -23*i**2 + 651*i + 18. Let b be v(28). Solve 2*o + 202 - b = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let t(j) = 5 + 2*j + 0*j - 5. Determine t(o(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -70*q**2 - 3*q. Let g(j) = -47*j**2 + 440*j - 870*j + 428*j. Calculate 7*g(a) - 5*s(a).\nAnswer: 21*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 896 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -31 (b) -0.2 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -5 - -25 - 63) + 5 - -5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 10) in base 6?\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -2\/29 (c) -4 (d) 0.2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4789*d - 47186 = 39016 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/20 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 243 + -237. Let l(z) = -5*z**2 + 2*z + 13. Let h(v) = 3*v**2 - v - 6. Calculate o*l(j) + 13*h(j).\nAnswer: 9*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 8. Let o(n) = n - 3. Let j be o(8). Let q be j\/2*h\/(-5). Solve -y = q*y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 804 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/6 (b) 9238 (c) -0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1460 and 100448?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 833172608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 92*j**2 + 10*j + 169. Calculate p(92).\nAnswer: 1089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4187377 millilitres in litres?\nAnswer: 0.0004187377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 19 = 2*x, -39*x - 17*r + 18*r + 8 = -38*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 183 = -58. What is the highest common divisor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 = j, 2*j + 5*h - h = 14. Let w = 5 + -2. Let z = 7 - w. What is the closest to j in z, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-3) + -35)\/(4 - 5). Let f = s + -12. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.17285 to 1 dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -14*y + 213. Calculate j(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*-9.4\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 66 = -5*t - 8*z, z + 13 = t. Solve -5*u - 13 = -k, 7*u - 2*k = 3*u - t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*m + 336*m + 3738 = 1290. Let k(u) = -15*u**3 + u**2 + 2*u + 2. What is the remainder when k(-2) is divided by m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 12*r - 4*r. Let t be 10\/r - 18\/(-27). Put -3, t, 1 in increasing order.\nAnswer: -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - -3)\/(-6) + 6\/8. What is the closest to o in 2, -0.08, -1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1008568 and 2.\nAnswer: -2017136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3142 = -5*v - 2*j, 5*v = 4*j + 4608 - 1472. What is the remainder when v is divided by 55?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -892705, -11, -7.\nAnswer: -892705, -11, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6466 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 10:41 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 20*c = 670. Let t = 139 - c. Let z = -47 + 82. What is the greatest common divisor of t and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -128*p + 126*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1065636 divided by -12.\nAnswer: 88803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 16*f**2 + 2. Calculate the remainder when h(2) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l, -3*p + l = p + 16. Is (62\/3)\/(p + 670\/165) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-7)*(-204)\/1734.\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -7 - 1*-3. Let c(s) = -1 - 2 - s + d. Let a be c(0). Sort 2, 1, a.\nAnswer: a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f21a6 - -5?\nAnswer: -6f21a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3868*c**2*x**2 + 229*c**2 - 21*c*x - 3*x**4 wrt x?\nAnswer: 7736*c**2 - 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 885658, 885665, 885674, 885685, 885698, 885713, 885730?\n\"Answer: q**2 + 4*q + 885653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggkgggygg?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:07 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**3\/3 - 5*c**2\/2 + 3*c. Let m(i) = 4*i - 7. Let q(d) = -2*d + 2. Let k(y) = 2*m(y) + 5*q(y). Determine -3*k(z) + 2*x(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -88*p**2 - 7*p - 63. Let i(q) = -44*q**2 - 4*q - 34. What is 11*i(o) - 6*x(o)?\nAnswer: 44*o**2 - 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 2*p**3 - 6 - 25*p**3 + 0*p**3.\nAnswer: -27*p**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2667)\/(-8820) - 2\/7. Let a(f) be the third derivative of 0 + 0*f + j*f**5 + 0*f**3 + f**2 + 1\/24*f**4. Factor a(u).\nAnswer: u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 2*t + 64. Let b be f(0). Suppose 8 = -4*z, 0*l - 2*z - b = -3*l. Let c = l + -17. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3597496ug to milligrams.\nAnswer: 0.0003597496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16431097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 78, 117, 156, 195, 234?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 3\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2096443601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264413375 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -33. Let f(m) = -m**3 + 13*m**2 + 1. Let a be f(k). Suppose 25 + a = v. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-21) + 0 - 780\/(-182).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -2327?\nAnswer: -2329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + v - 1. Let j(y) = y**4 - 9*y**3 + 10*y**2 - 9*y + 64. Let d(s) = 18*i(s) + 2*j(s). Differentiate d(r) wrt r.\nAnswer: 8*r**3 + 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 9. Let y be r(7). Find the first derivative of 4 + 2*q + 1 - 3*q - y wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*s + 2. Suppose k - s*k = -26. Let i be 6\/10 - k\/5. Put 0, i, -1 in descending order.\nAnswer: 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*s = 4*s. Solve 8 = n - 2*j, s*n + 4 = n - j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3029*o**2 - 16 + 16 + 3202*o**2.\nAnswer: 173*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 105*v**2 - 495*v - 17. Let c be o(100). Solve -474 = -3*z - c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*j - 127 = 0, -5*g = -49*j + 47*j + 301 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1.36, 5, 3\/10, -0.1?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/6632474 and -121\/30102.\nAnswer: 19897422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 124955 and 15?\nAnswer: 374865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/((-17765)\/(-76)))\/(2 + (-36)\/15).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 14*k**2 - 2*k + 8. Suppose 11*v - 6 = 16. What is the smallest common multiple of 44 and i(v)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011100111011 (base 2) in base 3?\nAnswer: 1100020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2729415831?\nAnswer: 3, 909805277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-16))\/(2\/8)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i**2 + 6879. Let z(c) = 583*c**2. What is m(z(y))?\nAnswer: 3059001*y**4 + 6879","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30410f (base 16) to base 10.\nAnswer: -3162383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 39, 58, 77, 96, 115?\n\"Answer: 19*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 279 - 279 + 5*o**2. Let h(n) = 3*n**2. Give h(s(x)).\nAnswer: 75*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39227*n - 39226*n - 39224*n + 117672*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 8 = 3*z, -5*z - 26*g + 36 = -23*g for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2809872 by -5688.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 877*v + 193344 = 4525*v for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 5623.\nAnswer: 5626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w + 11*w - 147 + 294 - 144 + 5*w. Suppose -5*y = -2*y + 6. Determine l(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 2397.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + o - 37 = -11, -5*o + 46 = m. Let n be -5*(-6)\/60*0. Suppose n = -2*u - u + m. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6 or -166512?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 332 (base 7) to base 4\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 195, -0.4, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 458\/(-687) - 106\/12*-206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -41*a + 9. Let c(y) = 23*y - 5. Let m(u) = 11*c(u) + 6*g(u). Let x(q) be the third derivative of q**4\/12 - q**2. Determine m(x(o)).\nAnswer: 14*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*l = 5*n + 235, 4*n + l = -198. Let r be 44 + n + 1005 + 0. What is r rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*q - 44*q + 5313. Suppose 8*w - q = 109. Is w a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7144 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 61257*c - 6898416.\nAnswer: 3*(c - 20531)*(c + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 170 = 4*w. Suppose 0 = 3*j - 0*y - 2*y + w, 3*y + 57 = -3*j. Find the common denominator of (-18 - j) + (-134)\/(-4) and -65\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04387 - -15.\nAnswer: 15.04387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.02 + 1.42. What is the third biggest value in 4\/9, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2585 and 128733?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 425, 528, 811, 1364, 2277?\n\"Answer: 15*x**3 - 2*x + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*r**2 - 3*r**3 - r - 25*r**2 - 4 + 2 + 0 in the form w + x*r**2 + h*r + b*r**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 i, and 1 o when three letters picked without replacement from {i: 1, c: 1, v: 1, q: 1, n: 2, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -95 + -5b?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(864)*-1 - (sqrt(72)\/sqrt(3))\/sqrt(4))*6)\/((sqrt(242)*-1 + sqrt(242) + sqrt(242) - sqrt(2) - (sqrt(800) - sqrt(50)))*2))**2.\nAnswer: 4563\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -j + 9*j**2 + j**3 - 3*j**3 - 3*j**2 + 15*j**2 as u + v*j**2 + d*j**3 + y*j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q + 21. Let j(a) = -11*a + 59. What is -17*c(z) + 6*j(z)?\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/5)*y*y\/y**6*(y\/y**(-2\/5))**37 assuming y is positive.\nAnswer: y**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14330*f**2*y + 3*f*y - 16888*y - 18 with respect to f.\nAnswer: -28660*f*y + 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2. Let m(x) be the first derivative of -6149*x**2\/2 + 1854. What is m(t(n))?\nAnswer: -6149*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - -17) + 11 - 17) + -24\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*u + 2*k, 5*u + 3*k = k + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 0.3395.\nAnswer: 0.4395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42035?\nAnswer: 5, 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 52 + (12 - (15 + 34))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 + 0*p**2 + 3*p**2)*(-3*p - 6*p - 4*p) + (2*p - 3*p - 3*p)*(3*p**2 + 5*p**2 - 6*p**2) to q + c*p**3 + k*p + x*p**2 and give c.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 10638.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2581*w**3 - w**2 + 164528*w wrt w?\nAnswer: 15486*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*6\/(-8)*2. Suppose -16 = 4*l + 2*n - 2, -5*l - 3*n = 15. Is (l\/(-5))\/(s\/135) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.55 + 0.15. What is the third biggest value in m, 3\/32, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-15)*3 + 4. Suppose v - h*v + r = -276, 3*r = 3*v - 216. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((17 - 32 - -30) + -16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -59*w + 17. Let t be d(-7). Let i = -53 + t. Is i - -6*(4\/12 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*t + 23*t + 260 = 0. Solve 2*n = -t*c - 7, n - 8 = -n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 3*t + 5. Let n be ((0\/(-15))\/14)\/(-5). Determine i(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11340\/1080*(-10)\/(-630)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -8, -3.\nAnswer: -8, -5, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 861 a factor of 15992214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -701 - -693. What is the lowest common multiple of (-20)\/n*4\/10*2 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 + -0.1. Let d = m - 4.99. Put 0.2, 1, d in descending order.\nAnswer: 1, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 q when four letters picked without replacement from qqsss?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*p + 11061 = 17021 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 8*x**2 - x + 4. Let f be y(8). Let t be 19\/3 + 4\/6. Sort f, 4, t.\nAnswer: f, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*p + 255, 3*z + z = 0. Let d = -48 + p. Calculate the remainder when 10 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/17, 4, 19, 1\/5, 2.\nAnswer: -4\/17, 1\/5, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1772 + 1775. Put 6, 0.06, 8, -1\/6, o in decreasing order.\nAnswer: 8, 6, o, 0.06, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -13*c**2 - 3*c + 335. Let l(s) = 3*s**2 + 2*s - 1. Let d(a) = 4*l(a) + t(a). Let j(q) = -q + 3. Let p be j(3). Is d(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 7*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9975248.\nAnswer: 2, 59, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 98*c**2 - 69*c + 396. Let i be v(97). What is the greatest common divisor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4aa2 + -2106?\nAnswer: -6ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -64. Let x = 43 - 23. Solve 5*q + 4*n - i = 0, -4*q + x = 2*n + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/32)\/((-181)\/724)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p. Let c(b) = -95*b**2. Calculate k(c(a)).\nAnswer: 190*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 176*d**4 - 177*d**4 + 39*d**5 + 3 - d**3 + d**3 + 6*d**2 wrt d?\nAnswer: 2340*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -7 + -5 + 21 + 1 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-1995)\/(-150) + (-5 - -2)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7177219 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -11. Let s be 9\/2 - j - 1. Let c = 54\/7 + -51\/7. Is s at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + p**2 + 4. Let v be x(0). Suppose -2*g = -v + 12. Is 3\/g - (-343)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192272 divided by 3152\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 16*y**2 - 7*y - 91. Let h(x) = 9*x**2 - 4*x - 45. Let m(p) = 4*c(p) - 7*h(p). Let j(u) = u. Give m(j(k)).\nAnswer: k**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4635 is divided by 108.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 176735? (a) 4 (b) -6 (c) 2\/11 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -265010 and 7.\nAnswer: -1855070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -376606 - 1534*l + 376606 as q*l + f and give q.\nAnswer: -1534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*h + 68, 3*u - u = -4*h + 88. Suppose -h = -3*c + 22. Solve -3*s - c = -4*s + 5*f, 0 = 3*s - f - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*1 + -1. Let w = 56 + -8. Let n = 47.5 - w. Which is the nearest to 0.1? (a) n (b) v (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -667*f*s*z**2 + 4*f*s + 129*f*z**2 - 4*f + 1060*s*z**2 - z**2 - 39484*z with respect to s.\nAnswer: -667*f*z**2 + 4*f + 1060*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3172495 from 40876.\nAnswer: -3131619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 13) to base 3.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Suppose 6*y = l*y + 2. Solve 2*w = -0 + y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/3 - 266*y**3\/3 - 32*y**2\/3 + 4256*y\/3 = 0. What is y?\nAnswer: -4, 0, 4, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*y + v, y - 3*v = 8. Suppose -3*d - y = -5. Differentiate -g - 4 + 4*g + 0 - d wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 8*z - 5. List the prime factors of t(-12).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/1105 + 882\/1105. Let v = 8 - 7.6. What is the biggest value in -1\/2, 1\/9, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 s, 1 c, and 1 j when four letters picked without replacement from {c: 4, s: 1, p: 2, j: 1, u: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8*(-1)\/(-28) + 85\/1260*-94 and -50\/537?\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 2 + sqrt(2736))**2 + -2 - (-3 + sqrt(2736) + 2*sqrt(2736))**2 - (sqrt(2736) + -2*sqrt(2736) + 0)*5.\nAnswer: -13687 + 372*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/((-1755)\/(-52))*(-222)\/8?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.3 - 8.2. Which is the biggest value? (a) -3.7 (b) -2 (c) t (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 845712?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -293, -319, -345, -371, -397, -423?\n\"Answer: -26*w - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*t - 138*t + 62*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41706897.\nAnswer: 3, 67, 207497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84723 and 14576.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*l - 5. Suppose 4*m**l + m**4 - m**4 - m**4 - 3*m**2 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = -2. Calculate the common denominator of 63\/10 and r\/15 + 22\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -14*d**3 - 12*d**2 - 12*d + 12. Let p(i) be the first derivative of 1\/2*i**2 - 2 - i + 1\/3*i**3 + 1\/4*i**4. Determine -12*p(f) - z(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26771938 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 6. Let y(q) = 5*q - 12. Let c(p) = p. Let f(r) = -6*c(r) + y(r). Let k be f(-12). Let x be t(k). Let i(a) = -a - 5. Calculate i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 5:26 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(24\/(-6))\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/15*(-6)\/84\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujjuuueujee. Give prob of sequence ueuu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 285051 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 15, x: 4}. What is prob of sequence xbb?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8006, -8592, -9178, -9764, -10350, -10936?\n\"Answer: -586*s - 7420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8043 - -16a?\nAnswer: -7cb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-6) + 2\/4. Let a be (-1 - -12 - q)\/1. Let d = a - 8. Solve 2*g - d*g - 6 = 0, 5*g = -y - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -410, -468, -582, -770, -1050, -1440, -1958?\nAnswer: -2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -746 divided by -6.\nAnswer: 373\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155989 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 775.01 + -779. Let g = x + -1.01. Let d = -0.2 + 0.7. What is the closest to 0.1 in d, -3, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfpfpffddpdpdp. What is prob of picking 2 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - 54 - (20 - 44)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 9068*x - 173736.\nAnswer: 4*(x - 19)*(x + 2286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*w - 25*w + 0 - 2 - 6*w**2 + 8 - 5 - 10*w**3 to the form y*w + l*w**2 + u*w**3 + c and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x - 9. Let j(f) = f**2 - 13*f + 29. Determine 7*i(s) + 2*j(s).\nAnswer: 2*s**2 + 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 615104189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 1. Let b(o) = -o**2 - 10*o + 4. Let g be b(c). Suppose -9\/2*u**3 + 0 + 5\/2*u**g - 1\/2*u**5 - u + 7\/2*u**2 = 0. What is u?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13705.7 - -2226.7. Let w = n + 11489.918. Let q = w - -0.082. Is 0.5 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*h**5*r + h**4*r**2 + 58*h**2*r**2 - 2*h*r**2 wrt h?\nAnswer: -1800*h**2*r + 24*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 412681913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 1)*(1 - 1 + z) + 3*z - 2*z + 7*z)*(-82*z + 301*z**2 + 46*z + 4716*z**2 + 36*z).\nAnswer: 30102*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**5 + 2046*r**4 - 14787*r**2 - 736588171*r wrt r?\nAnswer: -40*r**3 + 24552*r**2 - 29574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*h + 3. Let v(a) = -7*a - 12. Let q(f) = -8*f - 11. Let u(r) = 5*q(r) - 6*v(r). Let o be u(-8). Sort o, -2\/15, h in decreasing order.\nAnswer: h, o, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 5:23 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (3 + (6 - (-1 - -16)))) + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2177 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795 + 1362*n - 1583 + 788 - 1395*n.\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, v: 2, u: 3, n: 2, c: 3, q: 1}. What is prob of picking 2 i and 1 q?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2730 and 4485?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 7)\/(-3)*10\/15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11431 is divided by 215.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-375)*-5)\/(3\/510*4).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u + 4*x - 12 = 0, 0 = -3*u + x - 3. Suppose h = -h + 2. Find the first derivative of -3*l + u*l - h + 4*l + 0*l wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 - -1511304?\nAnswer: 1511352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1965560\/63 - -62397\/2. Find the common denominator of l and 35\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -6 + -3 + 3 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 775.9223 micrometers?\nAnswer: 0.7759223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8415*c**3 + 2375*c wrt c.\nAnswer: -50490*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*w - 10930 = 0, -3983 = -2*a - 5*w + 389. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - c - 1. Let y(u) = -4*u**2 + 4*u + 3. Let j(i) = -6*k(i) - 2*y(i). Let p be j(2). Calculate the highest common factor of 36 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 0.56, 45, 2\/3, -0.15?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/684 and -97\/65568?\nAnswer: 3737376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3973 or -3991?\nAnswer: -3973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = 0, 0*i - 406 = -2*n - 2*i. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 4*n + 21*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 942993 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/18)\/(m**(1\/8)\/m*m*m))\/((m**(-7)*m)\/m)**(-3\/14) assuming m is positive.\nAnswer: m**(-193\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -6*p + 200. Suppose p*k - 23*k = 698. Suppose -3*h = -k - 65. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -0.1769?\nAnswer: -0.1769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1782 or 1783?\nAnswer: 1782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/72 and 101\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/45 - 129\/(-27). Solve b*k = -3 - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-10 + 7 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 684061635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 12460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*j - 488*j - 6*j**2 + 164*j + 152*j - 6 to z*j + i + d*j**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z**2. Let r(k) = 3*k - 6. Let w be (8 - 1)\/(10 - 11). Let b(n) = 3*n - 7. Let a(p) = w*r(p) + 6*b(p). Give x(a(f)).\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 0*u**2 - 2*u**2)*(-5*u + 8 - 8).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -4, -9, 4, 0 in decreasing order.\nAnswer: 4, 0, -0.06, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 66. Let v = -59927627.9999953 + 59927608. Let g = v - f. Round g to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 49\/3 + ((-854)\/732)\/((-1)\/(-6)). What is l in 8\/3*l - 16\/3*l**3 + 0 - g*l**2 = 0?\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1136 * -1187\nAnswer: 134.8432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 38 + 3*i + 19 + 2*i**2 + 31.\nAnswer: 2*i**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595916425?\nAnswer: 5, 13, 67, 27367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91153748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 238342 - -326449. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12558799 to the nearest integer?\nAnswer: 3544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 5579\nAnswer: -5579.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - 0.31. Suppose 4*r = -5*o - 104, -4*o = -0*r - 2*r + 104. Let p = -118\/5 - o. What is the nearest to -2 in 0.1, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 - -92. Solve -g + 6 = h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/180 and -24\/125?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 1435*k**3\/3 + 272*k**2 + 914. What is the second derivative of m(t) wrt t?\nAnswer: 2870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399 = 3664*b - 4762*b - 86 - 613 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*y = -16098, -2*r = -y + 3*y - 16110. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 28. Let s = -17 - t. Sort -3, -4, s, -2 in descending order.\nAnswer: s, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - b9?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = 5. Suppose -v + 11 = 2*k, v = 2*v - f*k - 39. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gysiygihhggiyysh. What is prob of picking 1 s and 3 g?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 4373 and 4374 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -16*q**3 - 2*q**2 - q. Give s(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 11*g - 11. Give c(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.004908039 and 3.\nAnswer: 0.014724117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 247 and 767?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10558 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: Let s = 3.93 + 0.07. What is the closest to s in -3, -1\/2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -27*t - 1. Let a(k) = 7875*k - 794. Let x(p) = a(p) + 5*s(p). What is the first derivative of x(c) wrt c?\nAnswer: 7740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (30 - 2) - -1. Let c = -18 + f. Let x be (2 - c)*(-3 - -2). Calculate the greatest common factor of 90 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpdld. What is prob of sequence dd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 117018 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10706 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-12)\/42)\/((-405)\/135)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -93?\nAnswer: -5\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9203*k - 1234*k**5 + 0 + 253*k**2 + 0 + 9199*k wrt k?\nAnswer: -74040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(2 + (-1*sqrt(24)*-1 + sqrt(24))\/(sqrt(96)\/sqrt(48)) + -5)**2.\nAnswer: -48*sqrt(3) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3)\/(x\/(x*x**0*x*x)*x))\/(x**(-2\/3))**(19\/5))**(-37) assuming x is positive.\nAnswer: x**(-2146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -1\/4, -10.4, -2\/15, 3\/7.\nAnswer: -10.4, -1\/4, -2\/15, 3\/7, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:15 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 3*j - 34, 124*u - 127*u = 5*j + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 w, and 1 c when three letters picked without replacement from {p: 1, i: 3, m: 2, x: 2, c: 2, w: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (sqrt(567)\/(sqrt(9)*1))\/(3*sqrt(45)\/sqrt(5))).\nAnswer: -3 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37262 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: Let s = 587 - 586. Sort -12, 5, s in increasing order.\nAnswer: -12, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 (base 10) in base 6?\nAnswer: 2445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57539767 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 8. Let q be ((-32)\/48)\/(16\/(-6) - -2). Let l(z) = -1 - 2 - q + 5. Give 2*i(y) - 14*l(y).\nAnswer: -2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 + 1.9. Let v = -0.49 + 0.5. What is the closest to q in v, -1\/5, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 200 - (2 + 0)\/2. Suppose -p = -4*m - 7. Suppose 3*j - 10*j = -84. What is the highest common factor of j and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -726*o**2\/5 + 3344*o\/5 - 11552\/15.\nAnswer: -2*(33*o - 76)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4765212 is divided by 98?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 319 - 310. What is the second biggest value in -0.7, 0.1, 5\/3, c?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002330439 to 5 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -5, 23, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.95224 + -0.04776. Which is the nearest to -8? (a) -2\/9 (b) -0.5 (c) w (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppmpmpdmprmp. What is prob of sequence dm?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49949120?\nAnswer: 2, 5, 13, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -131060000 to the nearest one million.\nAnswer: -131000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*b - 2, 0 = l + 2*b - 5 - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, b: 2, f: 2, q: 2, r: 3, c: 1}. Give prob of picking 1 r and 1 q.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 472810?\nAnswer: -472805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1739 + 3079. Let g = -500 + n. Let x = g + -353. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6576 = -4*k, 13*v = 25*v - 5*k - 79127. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 - 5*o - 10. Let k be a(8). Let s = 693\/2 - k. Suppose 4*n - 24 = 4*p - 2*p, -3*p - 8 = n. Find the common denominator of n and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249498177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 24 = -2*r - r, 3*r = -3*l + 30. Let j be (-2)\/(-1 - 1)*-7. Calculate the smallest common multiple of ((-6)\/j)\/((-3)\/(-21)) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1)))\/(p\/(p\/(p**5\/p*p))))**1 assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -171 - 480. Suppose 227 + 37 = 6*a. Calculate the remainder when r is divided by 1\/(-3 - (-3 + (-1)\/a)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/16*1 - (-5 + 1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.62 + -70.38. Let l = -71.24 - m. Round l to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1536433 (base 10) to base 11\nAnswer: 95a388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 25148104 = -12531896. Round f to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*q**5 - 1449959*q**4 + 107*q**2 + q + 121 wrt q.\nAnswer: 2640*q**2 - 34799016*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 105.88395 months?\nAnswer: 0.88236625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4417.9 - -4418. Is h <= 5\/142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*p - 26, 2*p + k + 2*k = 21. Suppose -2*c = -3*c + p*z + 21, 19 = 4*c + z. Calculate the smallest common multiple of c and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 28\/9*l**3 + 10\/9 - 2\/9*l**5 + 2\/9*l**4 + 52\/9*l**2 + 38\/9*l = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 1 = c + 11*t, 5 = -c - 4*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prsr when four letters picked without replacement from rkrxups.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + -0.1. Let g = -3850 + 3849.93. What is the nearest to d in g, -4\/5, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22023*z - 7443?\nAnswer: -22023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from lqllqqg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 1306*s**3 - 25157*s**2 + 23850*s.\nAnswer: s*(s - 18)*(s - 1)*(s + 1325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -706746456.\nAnswer: -706746455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -4 (c) 129 (d) -3 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.948 + 0.177. Let v = f - 0.125. Which is the third biggest value? (a) -0.008 (b) -2\/17 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4845.029 and -0.6.\nAnswer: -2907.0174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-308)\/(-33))\/14 - 61\/(-549)*(-8 + -1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-381 - 38*o + 381)*(-105 - 6*o**3 - 4*o**3 + 99) to the form h*o**4 + r + a*o**2 + x*o + q*o**3 and give x.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 1277*a**2\/4 + 2551*a\/4 - 1275\/4.\nAnswer: (a - 1275)*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320 and 4890880?\nAnswer: 4890880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 4*b**2 - 4*b - 3. Let a(f) = f - 13. Let p be a(9). Suppose 5*c = 3*c + 4. Let m = p + c. Calculate u(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2538429283 to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 216544.\nAnswer: 433088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 100168?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15b0 + 5?\nAnswer: -15a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35855*z + 1371*z + 720*z - 971*z)*(-z**4 - z**4 + 0*z**4).\nAnswer: 69470*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 3*s = 5*r - 40, 0 = 2*r - 4*s - 26. Let x be 34\/6 + (-5)\/r. Solve f = -z - 1 + 2, 0 = x*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -1f149?\nAnswer: 1f150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 44*f - 2*f.\nAnswer: -44*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -18*c**4 - 26*c**3 + 28*c**2 + 8*c - 48. Let k(j) = -2*j**4 - 3*j**3 + j**2. Let t(v) = 8*k(v) - m(v). Factor t(y).\nAnswer: 2*(y - 2)**2*(y + 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26828, -108116, -243646, -433418, -677432, -975688, -1328186?\nAnswer: -1734926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 17*p - 11*p - 12 = 0, -3*i + 5*p - 2 = 0. Let b be 3*-6*6\/(-9). Let l = b + -8. Solve -l*a + i = -6*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 7. Let y(h) = h - 4. Let s be (-272)\/(-20)*5\/2. Let i = s + -29. Suppose -2*f + 20 = 2*q, -i*q - f - f + 35 = 0. Calculate q*y(r) + 3*p(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*(5 - 1). Let y(v) = -10*v + 15*v + 0*v. Let f(h) = -11*h + 2. Let n(z) = 2*f(z) + 5*y(z). Let j(q) = -7*q - 9. Calculate p*j(i) - 5*n(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 351\/6 - 4\/(-8)*1. Let f(s) = s**2 + 7*s + 7. Let x be f(-6). Put x, t, 5 in descending order.\nAnswer: t, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/60 - 7*n**4\/24 + 13*n**3\/6 + 7*n**2 - 1. Let c(q) = -q**2 - 3*q + 7. Let l(k) = 5*c(k) - 3*o(k). Give l(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33866, -131220, -293476, -520634?\nAnswer: -812694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 3\/7 (b) -2 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -740 + 1126. What are the prime factors of i?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w**2 + 24*w**2 + 1891 + 34*w**2.\nAnswer: 4*w**2 + 1891","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 31701?\nAnswer: -95103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*f = -7282, 5*v = 38*f - 43*f + 9170. Calculate the remainder when v is divided by 55.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 146089349?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 + -63. Suppose 61*g = q*g - 245. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 6. Let p(b) be the first derivative of b - 6. Let f(v) = -3 - 5 + 4. Let j(c) = f(c) + 5*p(c). Calculate 4*j(k) - t(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1.05, 3?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3a613 (base 14) to base 8\nAnswer: -431011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43.15109l?\nAnswer: 43151.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2564, 3\/7, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -16. Let k = -2.8 - 0.2. Let o = k - -2.8. What is the third biggest value in -0.1, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22528 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**0*s)\/((s\/(s**(-4)\/s))\/s*s))\/s**(-50))**49)**(-1\/2) assuming s is positive.\nAnswer: s**(-1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 940681 and 427.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341167 is divided by 162?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/7 + 5\/(-35). Let g be ((-9)\/(-6))\/((-1)\/(-2)). Suppose 0 = -2*j + 4*o + 4, -g = -j - j + 3*o. Is d > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 9*a**2 + 11*a + 4. Let y be h(-10). Let c(t) = t**2 - 1. Let p be c(y). Let s = p - 21. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 21*k + 6. Let b(v) = 62*v + 17. Let a(n) = 4*b(n) - 11*g(n). What is the first derivative of a(z) wrt z?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -241074.\nAnswer: -7\/120537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -5 + -2)*(-1474952)\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8\/l**21)\/(l**22\/l*(l\/l**5)\/l) assuming l is positive.\nAnswer: l**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -28181*p - 1352684. What is u(-48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 237 = 16*c, -4*c + 9*m - 7*m + 420 - 354 = 0 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = v - 3. Let c(f) = 0*f**2 + 4*f**2 - 4*f + 2*f**3 - 4*f**v. Let j(m) = m. Determine -c(o) - 4*j(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 3699?\nAnswer: 4\/3699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 - 2*x**3 + 2*x**3 + (-3*x**2 + 4*x**2 - 2*x**2)*(7*x - 4*x + 4*x) + 2*x**3 + 3*x**3 - 4*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 5*m**2 + m + 7. Let p be k(-5). Let c be p\/(-8) - 17\/(-4). Let y(b) = 1 + 3 + 100*b - 102*b. Determine y(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879962?\nAnswer: 2, 3, 7, 17, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2362 + -1641. Let t = p + -386. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4)*(-64)\/24. Let u be ((-6)\/44)\/((-3)\/l). Let r = -0.005 + -0.195. Which is the second biggest value? (a) u (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 - 4*s**2 - 4*s**2. Let p(z) = 47*z**2 - 3*z + 3. Let o(w) = 50*w**2 - 4*w + 4. Let g(u) = 3*o(u) - 4*p(u). Determine i(g(h)).\nAnswer: -2888*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229766?\nAnswer: 2, 114883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 71? (a) 5 (b) -8 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -7*c**4\/4 - 43*c**3\/6 - c**2 + 9308*c. What is y(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -0*s + 5*s - 5, -4 = -3*s - 4*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/9)*u**(-3\/4))\/((u*u**(3\/2))\/(u*u\/(u*u*u*u*u**5*u*u*u*u*u))))**(-10) assuming u is positive.\nAnswer: u**(2705\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + 4 + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 2, u: 1, o: 2, y: 2}. Give prob of picking 1 y and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 4161.\nAnswer: -4161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) -5 (c) -3\/7 (d) -7 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -3*-2*sqrt(77))\/sqrt(11)*-6.\nAnswer: -42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + o**2 + 1. Suppose 0 = 4*u - 4 - 0. Let v(z) be the third derivative of z**6\/30 - 2*z**5\/15 - 5*z**3\/6 + 10*z**2. Give u*v(i) + 5*y(i).\nAnswer: -i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjk when three letters picked without replacement from nnuskjr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -147*c + 928. Determine m(10).\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**3\/3 + 8*d + 4. Let z(y) be the first derivative of p(y). Let n(v) = v. Calculate n(z(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 575775 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2. Let r(i) = i**2 + 5*i - 5. Let d = -12 - -22. Let q(k) = k - 1. Let n(x) = d*q(x) - 2*r(x). What is n(l(v))?\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 + 252*r + 133 + 93 - 491 + 134.\nAnswer: 252*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*c - 309*c + 8690 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**2\/5 + 3058*x\/5 - 10944 = 0.\nAnswer: 18, 3040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1110 at most -156\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.9 + 8. Let w = -129\/548 + -2\/137. What is the closest to w in 1\/2, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 153.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:02 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24002 and -0.040975.\nAnswer: 24001.959025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 48 = 16*c. Let t be (154988\/c - -3) + 3. Round t to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4661351, 9322699, 13984047, 18645395, 23306743?\nAnswer: 27968091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 48646.0942 from 0.074.\nAnswer: -48646.0202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -64. Suppose -k*r = -13*r - 20. Suppose -5*s = 5*j - 50, 4*j = 3*s - j + 2. Solve -2*z = -s*z + r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -18 - -17 - (0 + 310\/(-224)). Let q = -3\/16 - w. Let i = 0.04 + -0.01. What is the smallest value in i, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v + 2*v)*(3*v - 26 + 25 - 16).\nAnswer: 9*v**2 - 51*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 544581 - 32.274.\nAnswer: 544548.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225.9795 - 33.7125. Let z = p + -0.267. Let w = -180.9 + z. Round w to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57 + -21?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*v + 41385 = 131*v + 152*v. Let o = -80\/441 + -2\/49. Which is the fourth biggest value? (a) o (b) v (c) 0.4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -10\/21 (c) 0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 53*j + 49. Let r be g(-26). Suppose 59 - r = -6*k. What is the third biggest value in k, -5, 2\/23?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 67460*t**2 - 331257108*t - 361164718476.\nAnswer: 4*(t - 21011)*(t + 2073)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a kilogram in grams?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*d**2 + 481*d**3 - 9 - 114*d - 484*d**3 + 9 wrt d.\nAnswer: -18*d - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846*r - 12 = 845*r. Solve -11*j - 3*p + 4 = -r*j, 4*j - 10 = -p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + m + 2*h - 13 = 0, -4*m + 10 = -h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1\/2, 0.4, -15791, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17428728*h**3 - 30491251*h.\nAnswer: 104572368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 4*d + 38*d + d - 4*d + 0*d + d - d + d + (d + 0*d + d)*(-2 + 2 + 3))*(-19 + 25 - 1 + 64 + 49).\nAnswer: 4130*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 5\/3, -27\/13165, -5, -0.1?\nAnswer: -27\/13165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2499 bigger than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -859 - -2020. What is the greatest common factor of s and 516?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r**2 - 10*r + r**2 + 3 + r**3 + 18*r**2. Let f be i(-10). Suppose 0 = -3*l - n + 185, 4*l - f*n + 51 = 5*l. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 11 (c) -2\/15 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6817*v + 1124*v - 2121*v in the form p + d*v and give d.\nAnswer: -7814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d - 15. Let c = -413 - -375. Let b = c - -43. What is the remainder when d is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -1057\/8, 11\/26?\nAnswer: 11\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.3 (c) -0.4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*g + 6 = -g, -6 = -2*s + 2*g. Put s, 4, -110 in descending order.\nAnswer: 4, s, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-54) - 4\/18. Let q = p - -10. Calculate the least common multiple of q and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121113001 - 10?\nAnswer: 121112331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96015591 to the power of 1\/2, to the nearest integer?\nAnswer: 9799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 2*h - 5. Let m(c) = c**2 + 1. Suppose 0 = 3*b + 5*v - 3, 3*v = 3*b - 15 - 12. Let j(y) = b*m(y) + g(y). Calculate j(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (1 + -14 + 0 - -24)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(-10 + 5 - 3)*(1 - 1 - q) to the form v + z*q and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -7 - -64887*14\/(-170352). Let w = -1\/1352 + s. Which is the fourth biggest value? (a) -5 (b) w (c) -1 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -74*k - 7119. Determine y(-88).\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*g + 15 = 0. Suppose -g*y + 10 = -2*m - 0, -25 = 5*y + 5*m. Suppose -2*z + 0*z + 12 = y. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47346749?\nAnswer: 283, 293, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -362\/4989 or 1?\nAnswer: -362\/4989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 3*m + 3. Let q be r(-4). Which is the smallest value? (a) q (b) 0.1 (c) 2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 8. Let q(h) = -h**3 - h**2 + 2*h - 1. Let t be q(1). Let x(b) = -b - 1. Give t*z(d) + 5*x(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*w = -8, 191*p + w - 20 = 200*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1312414 and -547.\nAnswer: 717890458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 37*i - 9. Let s(n) = -2 + 531*n + 545*n - 1067*n. Let l = 64 - 38. What is l*s(g) - 6*r(g)?\nAnswer: 12*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64123061 - 64123061 - k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 34, 38, 42, 46?\n\"Answer: 4*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:31 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*f + 6*d, -4*d = 0. Let z(h) be the first derivative of f*h - 1 - h - h**2 + 2*h. What is the derivative of z(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruru when four letters picked without replacement from uuuuurur.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -53. Let o be w\/2 + 36\/4. Suppose -o*s - 5*c + 9884 = 0, 4*s - 7905 = -c + 1979. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7514285*b. Let p(h) = -3*h. What is l(p(s))?\nAnswer: 22542855*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/5053278 and 53\/975194.\nAnswer: 55586058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 6*h + 2. Let j be r(-4). Let s be (j\/(-4))\/((-1)\/(-2)). Suppose 2*v = -2*g + 56, 3*v - 108 = -s*g + 8*v. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2262960104 to the nearest integer?\nAnswer: 47571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 200.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, 0.3, -1\/109, -17.2 in descending order.\nAnswer: 1.4, 0.3, -1\/109, -17.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/9 + 213\/(-3). Suppose 2*d = -l + 144, 4*d + 75 = l + 357. Let f = v + d. What is the nearest to f in -3, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/15 + 0)\/((-60)\/(-450))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 400 = -4*j. Suppose a + j = 6*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.35 rounded to the nearest integer?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 327 (c) 3\/7 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(120)\/sqrt(10)).\nAnswer: -2*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -232\nAnswer: 3\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40231\/3 + -13411. Sort -6, 1, w, 0.5, -16.\nAnswer: -16, -6, w, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/4652050 and -151\/77350?\nAnswer: 32564350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**3 - 10556*j**2 + 4411436*j + 3636036620 = 0.\nAnswer: -395, 1517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -27*b - 9*b - b - 16*b. Let g(u) = u. Give h(g(i)).\nAnswer: -53*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 5:55 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 - -68. Which is the closest to -0.1? (a) -6 (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028369 rounded to 5 decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 + -114. Let b be ((-1)\/2)\/(11\/(-77)). What is the nearest to 0 in 0.5, l, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -444, -850, -1256?\n\"Answer: -406*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/20*(-10)\/4. Suppose 868 - 770 = -3*m - 4*x, 4*m + 3*x = -119. Put 3, m, d, 0 in ascending order.\nAnswer: m, 0, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 281995, 282000, 282007, 282016, 282027, 282040?\n\"Answer: a**2 + 2*a + 281992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*-2*1\/(-5). Let j = p - 1. Solve -2*k + 6 = 0, -3*k + 19 = -v + j*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrdh when four letters picked without replacement from dhdhrkhkkd.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -208868*i + 208036*i + 89856 for i.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 19 = -5*j - 0, -13 = -x + 3*j. Let s = 69 + -33. Let h = 35 - s. Which is bigger: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7.07. Let z = 3 - 2.97. Let d = l - z. Is d smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408343657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 + 37*v + 12. Let p be w(-12). Is -2\/93 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2391929 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, -411, -0.1 in descending order.\nAnswer: 112, -0.1, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2 + 24*u + 16. Suppose -209 - 381 = -109*y - 45. What is k(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 291 + -291. Suppose -t + 19*l - 1 = 17*l, -2*l + 6 = i. Solve -4*s = -1 + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 28*g**2 + 83*g + 1514. Let y be f(-27). Solve y*s = r - 11, -5*r - 7*s = -9*s - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 509\nAnswer: -1\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-19)*i)\/(i\/i**25))**45)**(10\/9) assuming i is positive.\nAnswer: i**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udbuubbbbduuu. What is prob of sequence uduu?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1413180 and -5\/4145328?\nAnswer: 62179920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342291 by -3.\nAnswer: -114097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrsrasaswarars. What is prob of sequence arws?\nAnswer: 16\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 66. Suppose -q + y = 5. Suppose 0 = 7*s - 20 - 15. What is the remainder when q is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 53447\/10 + -5349. Let n be (-19804)\/6 + 3\/(-6). Let r = 3323 + n. What is the common denominator of w and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -11 - 3) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 8:23 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-12)\/(-66))\/1)\/(-1). Let d = -0.3 - 0.2. Let v = -2.96 + -0.04. Which is the nearest to v? (a) d (b) 2\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 = 0, 5*g - 2*i - 7 = 63. Suppose -3*j - 9 = 2*f - 1, 5*j = -4*f - g. Solve -f*x = c + x - 10, c - 3*x = -14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 6:33 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x\/(x\/(x\/((x\/x**(-4\/7))\/x)*x)))**(-38)*(x**0)**(1\/3)*(x*x**(1\/6))\/x**0 assuming x is positive.\nAnswer: x**(12133\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 1 - (-99)\/(-72). Which is the nearest to -2\/3? (a) i (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-12)*o\/(o*o*o**(3\/4)*o))\/((o\/o**8*o)\/o**(3\/4)) assuming o is positive.\nAnswer: o**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(16\/36) + -1. Suppose -7*c = -b*c + 166. Suppose -2*w = x - 5*x + c, 154 = 4*x + 2*w. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*-2132.\nAnswer: 170.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20348 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.1, -77, -12, 1\/5, -10, 0.83?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -21. List the prime factors of d\/84 + 226\/8 + 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.293564km?\nAnswer: 9293564000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -1, -0.04, 895, -587?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21877 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(2*sqrt(3) + sqrt(3)))\/(sqrt(96)\/(sqrt(12)*5) - sqrt(8)))**2.\nAnswer: 25\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**5 - 2*c**4 - c**3 - c**2 - c. Let d(n) = 12*n**5 - 28*n**4 + 8*n**3 - 8*n. Let u(y) = d(y) - 4*o(y). Let u(z) = 0. What is z?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0 - 6 - 3 + 3. Let r(n) = n**4 + 5. Let z(h) = -3*m(h) - 2*r(h). What is the first derivative of z(s) wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11223\/86*42\/63?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 610, 1222, 1834, 2446?\n\"Answer: 612*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.69 rounded to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/7, 126 in decreasing order.\nAnswer: 126, 2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -159a1?\nAnswer: 15999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 11 + 5 = 0. What is the third derivative of 5*t**2 + 13*t**6 + 10*t**f + 0*t**2 wrt t?\nAnswer: 2760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -3*i**2\/2 + 7. Let c(p) = p. Let j(z) = -60*z - 1621. Let t be j(-27). Calculate t*g(q) - 6*c(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9 - -10 - 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7677.848t?\nAnswer: 7677848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i**(3\/8))\/(i**23\/(i*i**16)) assuming i is positive.\nAnswer: i**(-61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 176, -2, 3 in decreasing order.\nAnswer: 176, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 312 and -131.\nAnswer: -40872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*v = -9, 20*v = 3*p + 23*v + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1313, 17, 0, 3 in descending order.\nAnswer: 1313, 17, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - h + 1 + 23 = 0, -h = -z + 6. Let p(i) = -3*i**2 + 4*i**2 - 6 - i + 2*i**2. Let v be p(z). Calculate the highest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -303\/31 - -1077\/310. Calculate the common denominator of k and 8\/29.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 + 112. What is the remainder when q is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (258\/16)\/3 + 17205\/(-3441)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 44, 145, 414, 935, 1792, 3069, 4850?\n\"Answer: 14*w**3 + 3*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 1, z: 1, v: 3, n: 1}. What is prob of picking 1 n and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 121a633 - -10?\nAnswer: 121a643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + 4*a + 15. Calculate z(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 3*j + 77 - 48, -j = -n + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {l: 1, e: 2, p: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.82 or 160386?\nAnswer: 160386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3*j**3 - 43*i**2*j - 16*j**3 + 37*j wrt i.\nAnswer: -3*i**2*j**3 - 86*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80.5 + 82.5. Let h = 5.2 + -3.2. Which is the nearest to y? (a) h (b) -0.1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -q - 0*q - 2*m + 16, 0*q - 48 = 2*q - 9*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 42. Let t be 1\/(s\/(-6) - -1*3). Solve 0 = -n - 5*w + 16, -t*w + 6*w - 4 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279 and 2821?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 0*y + 0*y**2 - 2\/11*y**3 + 0 - 2\/11*y**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 + 6*h + 9. Let j = 0 - 7. Does 13 divide m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 8:13 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*m**3*r**3*x - h*m**3*r*x + 32*h*m**2*r**3 + 2*h*m*r**2*x - 2*m**3*r**3 + m**2 - 2*r**3*x wrt m?\nAnswer: 6*h*r**3*x - 6*h*r*x - 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -249*p. Let a(h) = 670*h**2 - 671*h**2 + 2*h - 2*h. What is a(x(y))?\nAnswer: -62001*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 2*j**2 + j**4 + (-2*j**3 - j**3 + 4*j**3)*(0*j - j + 3*j) to l + u*j + r*j**3 + w*j**4 + n*j**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -4*x + 17, 2*h - 95 = -x - 102 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/((-20)\/40)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*n**2 - 2*n**3 - 111*n**2 + 21*n**3 + 0 - 2.\nAnswer: 19*n**3 - 318*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6940*g - 89519. What is i(-13)?\nAnswer: 701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 13*z**2 - 8*z + 6. Let h be v(6). Let b be (-8)\/h*(-27)\/6. Let r be (-9)\/(15\/b + 1). Which is bigger: r or 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -158292787\nAnswer: -5\/158292787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27335161 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -210*t**4 - 298*t wrt t?\nAnswer: -2520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 4. Let p = -46 - -46. Let f be y(p). Let q be (3\/(-5))\/((-2)\/10). Which is the third biggest value? (a) q (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-10) + -3)\/(-3 - 0)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86697 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158*k**5 - 4*k + 17 wrt k?\nAnswer: 3160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2\/15 - 1208*w\/15 = 0.\nAnswer: -604, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-15)\/3)*8. What is the first derivative of m*k + 15*k - 111 + 44 + 19*k wrt k?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Calculate the smallest common multiple of (-74)\/(-12) - (-6)\/(-36) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, 812, 1196, 1560, 1898, 2204, 2472, 2696?\nAnswer: 2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Sort -4, z, 2 in descending order.\nAnswer: z, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36698.2 to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.6. Let l be 2\/(-6) - 14\/(-24). Which is the biggest value? (a) l (b) 1\/6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d + 2. Let p(z) = -9*z + 4. Suppose 0 = 3*b + 4 + 8. Let u be ((-2)\/5)\/(56\/(-245))*4. Let k(x) = b*p(x) + u*y(x). What is k(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -13*n + 223. Let y be u(17). Solve p = -2*r + 6, 3*r - 9 = -y*p + p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 5 - 4*y - y. Let s(n) = n**2 + 23*n + 85. Let h be s(-18). Let g(c) = c - 1. Let d(p) = h*g(p) - b(p). Let k(x) = -6*x. What is d(k(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22249 is divided by 104?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 267 = -111. What is the greatest common divisor of u and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((110\/(-30)*24\/(-44))\/(-2))\/((-14)\/3).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -278 - 9*p + 277 - p as d + f*p and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:39 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10 - p + 9 + 2*p. Let u be w(-9). Suppose -3*i = -4*v - 2, 5*v - 3*v + u = 3*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2818260 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43124 is divided by 124.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37320 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, q: 7, r: 1, a: 1, y: 2}. Give prob of picking 2 q.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -277.16 - -274.5. Is r at most as big as -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36099230 to the nearest one hundred thousand.\nAnswer: 36100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 + 5 - 6*y**2 - 3. What is j(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 + 120. Calculate the highest common divisor of 90 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*n**3*x - 91*n**2*x - 59*n**2 - 80010083*n*x wrt n.\nAnswer: -828*n*x - 182*x - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -10924578387654.\nAnswer: 10924578387649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*t + 1 = 0, 5*c + 4*t - 16 = 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*b + 3*b + 3*b)*(3*b + 0*b - b)*(945 + 492 + 92)*(0*b + 3*b**2 + 0*b) + 2*b**4 + b**4 - b**4 as g*b + t*b**4 + m + o*b**3 + u*b**2 and give t.\nAnswer: -9172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**2 - 3*f**2 + 54*f**2 + (0 + 0 - 2*f)*(2*f + 2*f - 2*f) + 651 + 656 + 4*f**2 - 5*f - 1306 in the form q*f**2 + d*f + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 546 and -0.59097.\nAnswer: -322.66962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3865.\nAnswer: 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 306 + 1484 = 0. List the prime factors of k.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, 0.8, -0.2 in ascending order.\nAnswer: -20, -0.2, 0.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10263?\nAnswer: 3, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -5, -14\/3, 5.2 in increasing order.\nAnswer: -5, -14\/3, -2\/11, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2175 and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-36)\/243*48?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125150, 2, -0.4, 5, 0.2.\nAnswer: -125150, -0.4, 0.2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4797056774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.749 less than 0.034?\nAnswer: 0.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 41.845 weeks?\nAnswer: 25307856000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -12784*b - 665. Is i(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1782 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o - 17*o = -43*o + 437 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 20*g - 1. Let n be y(2). Let p = n - 19. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 47*u**2 + 12*u - u + 5*u - 17*u to the form x*u**2 + g + i*u and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 1:37 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 f when four letters picked without replacement from nfaanfnf.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-996)\/(-8) - 1. What is u rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.96 - -17.96. Let r = 1\/6 + 0. What is the closest to -1 in r, -0.6, i?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Suppose 0 = o*m - 36 - 12. What is the greatest common factor of m and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14003?\nAnswer: 11, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:31 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127543\/36 - 21071\/6. Let n = 125\/4 - t. Solve 4\/9*c + n - 4\/9*c**3 - 2\/9*c**4 + 0*c**2 = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(450\/(-80)))\/((-90)\/50)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 246 and 417954?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 5*x. Does 22 divide (2\/(-4) + 1 - x)*762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(726) + 2*sqrt(726) + sqrt(726) - sqrt(726)) + -2*sqrt(864) + sqrt(864))\/(-3*sqrt(3200)).\nAnswer: -7*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-15))\/(4\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*z + 224, 0*o = 3*o + 5*z - 168. Let v = o + -38. Let m be (-8)\/(-288)*8 - 502204\/v. What is m rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**5 - 3*c**4 - 58*c**3 - 54750*c**2 wrt c.\nAnswer: -360*c**2 - 72*c - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 495. Let o(h) = -14*h. Give z(o(j)).\nAnswer: 28*j - 495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560719 is divided by 982?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 + -35.91. Let p = f - -36.05. Which is the third biggest value? (a) p (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3960 = -25*u + 415. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 - 14*k + 2. Let q(y) = 1945*y**3 - 606*y + 12. Let c(h) = 6*n(h) - q(h). What is the second derivative of c(f) wrt f?\nAnswer: -11598*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by -2 + -4 + (9 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*y + 3*y**2 - 10*y**3 + 276*y - 732*y - 3*y**2 + 241*y.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8071063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -98, -93, -84?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 1. Let h be (3\/2)\/(2\/r). Solve 2 = 2*v - 2*t, -3 = h*v - v + 3*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9688.081 hours to nanoseconds.\nAnswer: 34877091600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 741431*c. Let x(m) = 2*m**2. Calculate a(x(s)).\nAnswer: 1482862*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2 + 5115656*t - 3271242038792 = 0. Calculate t.\nAnswer: 1278914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 0, 4\/7, -633741?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1446323+5856\nAnswer: -1440467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-2\/147)*k*(k*k*k\/(k**47\/k))\/k*(k*k\/(k\/(k*k**(-7))))**20 assuming k is positive.\nAnswer: k**(-20876\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*r - 151*r - 149*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1195142 = 29*i + 224193. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -4. Let c = -18 + k. Is c at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 3*l + 5. Let c be r(-5). Let v = c + 7. Solve g - 2*g + v = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - (-73 + 68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8\/933 - 1937\/27990. Calculate the common denominator of 151\/210 and m.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 3*o + 167 - 180, -2*d - 4*d - 5*o + 35 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 16, t: 2}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35658330 and 540.\nAnswer: 641849940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26751 or 26175?\nAnswer: 26175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/15)\/(2\/((-6)\/9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 10040.\nAnswer: 90360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 6*a**2 - 4*a - 2. Let n be (10\/6)\/((-4)\/(-3) - 1). Let f be l(n). Factor 3*z**5 - 27*z**2 + 9*z**2 + 18*z**4 + 29*z**3 + 28*z**f - 60*z**3.\nAnswer: 3*z**2*(z - 1)*(z + 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 28. Let m = 0.74 - c. Let x = -5.26 - m. What is the smallest value in x, -4, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 55 - 70 = -5*s, 0 = -o + 5. Suppose 2 = -5*f + s. Let j(k) = -3*k - 22. Let a(g) = -g - 10. Let n(x) = -5*a(x) + 2*j(x). Calculate n(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -78936 - 108?\nAnswer: -79044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 3.54611?\nAnswer: 3.54611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12714.3 - 12714. Let u = -1 - -2. What is the biggest value in 9, f, u?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-16 - -1) - (-1 - (-2 + 7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence allc when four letters picked without replacement from {a: 12, c: 4, l: 4}?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 544, -3, -4, 4 in decreasing order.\nAnswer: 544, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q - 40. Give b(15).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36, 5\/3, 0.2?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 81, 58, 35, 12, -11, -34?\n\"Answer: -23*c + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30606 (base 7) to base 15.\nAnswer: -2353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = 6*k - 0. Let l(s) = -s. Let m(a) = a**3 - 3*a - 3. Calculate k*m(j) + 4*l(j).\nAnswer: -j**3 - j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -61 times -67\nAnswer: 4087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d. Suppose 2*o - 2 = 4. Is w(o) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26507*a - 13233*a + 9 - 13680*a to n*a + o and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24759*b**3 - 49509*b**3 + 24752*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 * 150\nAnswer: 64.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-16))\/(4 - (-92)\/(-32)). Let y = -4.1 - -4. Which is the closest to y? (a) u (b) -3\/8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -9.8. Put -0.4, 4, j in ascending order.\nAnswer: -0.4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 z when three letters picked without replacement from {w: 2, b: 2, u: 6, a: 3, z: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/(-4) - (3 + 3). Let t(d) = d**3 - 12*d**2 + 10*d + 8. Let o be t(11). What is the closest to q in o, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1874601 * -0.2\nAnswer: 0.03749202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -3 (c) -0.6 (d) -0.07 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 14*d**2 - 15*d + 5. Let v(o) = o**3 - 13*o**2 - 14*o + 4. Let y(n) = -6*r(n) + 7*v(n). Give y(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6045 + 6000.904. Let o = g + -0.804. What is o rounded to 0 decimal places?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 99. Let u = -644 + 653. Calculate the greatest common divisor of u and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 2*h**2 - 3*h. Let g be s(4). Let n = 29 - g. Let i(y) = -y + 84. Let l be i(-15). What is the greatest common divisor of n and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 + -69.95. Let o = 2 - 1.9. Which is bigger: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.91478l in millilitres?\nAnswer: 97914.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*v + 114, -5*u - 2*v - 56 = -6*u. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101010001 + 11111110?\nAnswer: -1000001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 11 - (74\/185 + 77\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/39 and 95\/42.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -14. Suppose v*z - 3*m - 483 = 0, -2*z = -3*m + 2*m - 326. Let p(n) = -2*n + 5. Let a be p(-5). Calculate the greatest common divisor of a and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358 (base 9) in base 2?\nAnswer: -100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**3 - 419*v**2 - 8681*v - 841. Determine b(-37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -339 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5bc (base 16) to base 12\nAnswer: -a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15944109 divided by -181\nAnswer: -88089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, 3.\nAnswer: -17, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**6\/720 - k**5\/120 - 41*k**3\/6 - 34*k. Let f(s) be the second derivative of c(s). Factor f(h).\nAnswer: h*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -27. Let j be 60\/14 + q\/56. Suppose -j*p = p - 520. Calculate the greatest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in -27, -0.4, -5, -0.1, -2, 0.948?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s - 6. Let n(z) = 5*z + 5. Let m be -31*(-3)\/21 + (-174)\/406. Give m*x(w) + 5*n(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 58175 = 15995. What are the prime factors of l?\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -294 (base 13) to base 2.\nAnswer: -111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 14) to base 16.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -458185 divided by 5.\nAnswer: -91637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4110 and 71788?\nAnswer: 1076820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -59*s**2 + 467*s + 8. Let a(z) = -119*z**2 + 933*z + 18. Let o(h) = 4*a(h) - 9*f(h). What is the second derivative of o(p) wrt p?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 2070\/(-275) + -6*(-2)\/(-10).\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciagggciiitri. Give prob of picking 1 g, 1 a, and 1 r.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (-8 - -16 - 9)\/(2\/10). Sort -1, b, 3, 16, 2 in decreasing order.\nAnswer: 16, 3, 2, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 + 1029*u**2 + 1657*u + 60500. What is t(-513)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -62391 and 69 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from {y: 4, b: 1, a: 5}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*t + 4 = -z, -2*t + 6 = 3*z. Let y(u) = -z + 2 + 320*u**2 - 317*u**2. Let w(h) = -h + 1. Let q(c) = -1. Let g(a) = -q(a) - w(a). Give y(g(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -135313.\nAnswer: 6\/135313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 23. Suppose -w + 14 = 5. Calculate the remainder when x is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*b + 8269 = -15760 + 4090. Suppose 5*g = 5*s - 1345, 0 = 6*g - g. Let y = s - b. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4559 - -4939. What is the least common multiple of h and 80?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 34983834 and -81.15.\nAnswer: 34983752.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*f + 434 = 92*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 223021021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137048.\nAnswer: 2, 37, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/((-35)\/(-6)*103\/(-721)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8523992 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: In base 16, what is -7 + -1c0cd?\nAnswer: -1c0d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 6*q**2 - 11*q**2)*(42 - 7*q**2 - 42) - 5 + 5 + 2*q**2 + q**4.\nAnswer: 134*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00111156102 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 4*a**3\/3 - 6. Factor r(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.1 (b) -12\/17 (c) -1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 48. Suppose 2 + 4 = 2*o - 5*u, -v*o + 9 = 2*u. Solve -2*l = -o*c + 9, -4*l + l = -9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 48\/6*3\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2))**(-26))**21 assuming r is positive.\nAnswer: r**(-273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 2*k + 3*k**3 + (0*k + 4*k - 2*k)*(-1 + 2*k**2 + 1) + 50152*k**3 - 25379*k**3 - 25325*k**3 to u*k + a + r*k**2 + g*k**3 and give g.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13014 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 84 = 100. Let j = -6 - -3. Let y(u) = -68*u - 2*u**3 + 65*u + u**3 - 5 - u**3. Let c(v) = 2*v**3 + 4*v + 6. Determine j*c(r) + m*y(r).\nAnswer: 2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3) + (-28 + 3 - -18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5642829768 to the nearest integer?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 9*n**2 + 2*n + 6. Let t be f(-9). Let v be ((-40)\/t)\/(2\/6). Let b = -6 + v. Solve b*w + 5*z = 4, 2*w + w - 2*z = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-2)\/36)\/((-20)\/24)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a - 3. Let f = 2 + -4. What is the units digit of t(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6664 is divided by 1663?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 0*y - 23 = -0*i + 3*y, 16 = -2*i - 8*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6*(-6)\/(-10). Let n be (-3*16\/(-12))\/7. Which is the biggest value? (a) t (b) n (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-84)\/(-45))*(-16)\/(-32). Let y = -4\/15 - o. What is the closest to 0.01 in 2, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1714 divide 52365716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from {a: 1, c: 2, l: 4, z: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0267 + -4.9733. Which is the closest to -1? (a) m (b) -16 (c) -4\/5 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4479, 1\/2, 2, 10\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -829 + 5*f - 5*f + 837 - 5*f**2 - f**3. Let o be n(-5). What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeqcnnhc. Give prob of sequence ehq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g + 31958 = 115*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.564 - 0.436. Which is the second biggest value? (a) l (b) -0.21 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.423 + -1.277. Let o = -0.7 - d. Is o smaller than -109\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10751.\nAnswer: 13, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 4. Let u = 50 - 35. Let y be u - (-1 + 6\/2 - -2). Suppose i = -i - k - y, -3*k + 11 = -5*i. Give j(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 1915605.\nAnswer: -13409235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3584) + 6*sqrt(3584)*2 + sqrt(3584))\/(sqrt(1152) + sqrt(1152)*1*3) + 5.\nAnswer: 5 + 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2179 is divided by 71.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2 (b) 0.2 (c) 145 (d) 2850\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85497 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**5 - 5*q**4 + 7*q**3 + 5*q**2 + 6*q. Let m(l) = -l**5 + 4*l**4 - 6*l**3 - 4*l**2 - 5*l. Let v(r) = -6*g(r) - 7*m(r). Let v(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b80 + 434?\nAnswer: -5748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 26*z - 14. Let i(f) = -9*f + 5. Suppose -38*l = -48*l + 80. Give l*i(m) + 3*t(m).\nAnswer: 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 319604100 divided by -6\nAnswer: -53267350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11138.94 decades to months.\nAnswer: 1336672.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*w**3 + 14*w**3 - 8*w**3)*(-2 + 2 + 3*w**2 + (3 - 3 - 2)*(2*w**2 - 4*w**2 + 4*w**2)).\nAnswer: 86*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78674 and 4.\nAnswer: 157348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 90853.33.\nAnswer: -8176.7997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/20 - (-1)\/(-4). Let g(n) = n - 4 + c + 3 + 0. Let x(j) be the first derivative of -2*j**3\/3 + j**2 - 4*j + 21. Give -3*g(d) + x(d).\nAnswer: -2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69115 or -190?\nAnswer: -69115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -6 - (7 + -2 - (2 + -16))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261530676*m**2 - 159053480*m wrt m.\nAnswer: -523061352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 5\/4, 5, 39?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 5*c**2 - 1. Let g(l) = 7*l - 87. Let t be g(12). Let i = 1 - 0. Let r be 1 - (t + i + -2). Give b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let i = 0.13 + 2.87. Which is the nearest to z? (a) -1\/4 (b) 2\/13 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*v - 7*v + 84, -5*v = 15. Let m be 6\/(-2) - f\/3. Differentiate -m*n**4 - 77*n**2 + 17 + 77*n**2 with respect to n.\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p + 99 = 6*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -2*w**3\/3 - 5*w**2 - 8*w - 10. Factor f(b).\nAnswer: -2*(b + 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3719967655?\nAnswer: 5, 499, 1490969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 5*i + 12. Let r = i - 15. Factor 0*z**r - 1\/3*z**2 + 0 + 1\/3*z**4 + 0*z.\nAnswer: z**2*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.134 + -0.936. Let v = -1.0699919 - w. What is v rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791000 rounded to the nearest 10000?\nAnswer: 1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412, -4010, -13756, -32716, -63956?\nAnswer: -110542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 655.8 + -656. Which is the nearest to -0.38? (a) 3 (b) -2 (c) 0.1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/6*2 - 2. Let k(q) = -2*q**2 - 2*q - 1. Let g be k(v). Which is the closest to -1? (a) g (b) -2\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - 0)\/(-5) - (-1 - 0). Suppose -h*j + 25 = 5*p - 13, -3*j + 36 = 4*p. Solve -5*z - 25 = 5*m, 0 = 4*m - 5*z - 1 - p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - (1 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 31 + 4*g**2 - 21 - 26 + 14.\nAnswer: 4*g**2 + 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/30 + (3245\/66)\/59?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 21.2. What is the second smallest value in -5, 11, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225962299 and 4348?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - w + 2. Let t be a(0). What is the third derivative of 0*c**3 + 2*c**t - 4*c**6 + c**2 + 0*c**3 wrt c?\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 17204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 0.5 (c) -0.08 (d) 14 (e) 2 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 57514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**6 - 41123 - q**6 + 41123 - 10*q**2 - 44*q + 40*q**4 wrt q.\nAnswer: -360*q**3 + 960*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 + 415\/15. Suppose -5*c + 6 = l - 44, l - u = -3*c. Calculate the greatest common factor of 121 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 11:25 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, -389, 4 in ascending order.\nAnswer: -389, -10, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57543989, -115087979, -172631969?\nAnswer: -230175959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**5 + 30*l**4 + 45*l**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 - 83. Calculate the highest common divisor of 140 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 p when four letters picked without replacement from pwwwwpppwpwwpwwp.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4527*j = -4538*j + 77. Sort 0, 4, -1, 1, j in increasing order.\nAnswer: -1, 0, 1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d**3 - 6*d**2 + 6*d + 3. Let k(i) = -32*i + 21*i + 11*i**2 - 138*i**3 - 5 + 157*i**3. Give 11*c(u) + 6*k(u).\nAnswer: 4*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = -4*k. Let z be 4\/k*237\/(-6). Suppose 4*r - z - 33 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c - 150. Let a(o) = 7*o**2 + o + 38. Let r be a(0). Let m be j(r). Solve -2*v - m = -8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 371\/940 + 1\/188. Let l be 34\/8 + (-2)\/8. Which is the third smallest value? (a) t (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.8 in -0.3, 1.7, 0.09, -115?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 759 = 42*i. Solve -5*c = -3*o + i, 21 = -5*c - 5*o + 6*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.54 + 0.06. Let r = j - 0.9. Let q be 6*(-2)\/(-20) + (-36)\/10. Which is the third biggest value? (a) -1 (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*i = 395*i. Solve i = 4*n - 5*v - 5, 0 = 2*n - v - 3 - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40362991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 234487973 to the power of 1\/2, to the nearest integer?\nAnswer: 15313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 24 = -5*a, -3*w + 786*a - 788*a = -13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - (-34 - 18)) + -18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/5 + 82297824*f\/5 + 82297826\/5 = 0. What is f?\nAnswer: -1, 41148913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from emkzkkeehzzehzee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -850*m - 147030 = -879*m. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.994 less than 512001?\nAnswer: 512046.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**4\/12 + 2*s**3\/3 + 7*s**2\/2 + 6*s. What is n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128599580700 rounded to the nearest one million?\nAnswer: -128600000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 - 1010\/9. Suppose 24 = 4*i + 4, -21 = -k - 4*i. Is m equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 14 = -5*c + 4*c, 12 = 4*n. Let m = -6 + 7. What is the smallest common multiple of m\/((-4)\/12) - -8 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*x - 1 = 0, 125*b = 121*b - 3*x + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nddddndnnddddnndddd. Give prob of picking 4 n.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-26\/5)\/(q**31*q))\/((q\/(q*q**(-5\/4)))\/((((q*q**(-9\/7)*q)\/q*q)\/q)\/q)))**(-47) assuming q is positive.\nAnswer: q**(261461\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1997106729 - -23\nAnswer: -1997106706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 3*h. Let n be 91\/(-52) + (-2)\/8. Give v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 3*h - 4 + 20, 3*d + 6 = 3*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1893991 - -7869956. Suppose 3*y - 7410000 = -5*i, 3*y - p = -3*i + 1434035. Round y to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -74 + -3?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 60 = 840. Let a be (-2)\/(-9)*(w\/(-14))\/5. Solve -4\/7*h**2 - 6\/7*h**3 + 0*h**4 + a*h**5 + 0*h + 0 = 0 for h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/5 (b) -7 (c) 12 (d) 1 (e) -0.1 (f) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -25*u - 42. Calculate c(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, a: 1, v: 3, h: 6}. What is prob of picking 3 h and 1 a?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4164973 is divided by 722.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -334\/23? (a) -1\/2 (b) 108 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2795.809 grams to tonnes.\nAnswer: 0.002795809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1591 = -4*i, 0*i - 1601 = -4*i + 3*s. Is i - (0*1\/(-2) + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -479\/12 - -119\/3. What is the fourth biggest value in 5, -1, 2\/15, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(5\/6)*j**(1\/6)*(j**1)**(3\/4))**(-1) assuming j is positive.\nAnswer: j**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -160*h + 121. Let z be q(-13). What is the highest common factor of 639 and z?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 837 and 324?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5412004 (base 7) to base 4\nAnswer: 2200302010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2. Let a = 130 - 130. Let r(u) be the third derivative of 0*u**3 + a*u + 0*u**4 - 1\/30*u**5 + 4*u**2 + 0. What is r(i(z))?\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -52*w**3 + 80*w**2 + 208*w - 320 = 0.\nAnswer: -2, 20\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28692 divided by 1594.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570*d = -552*d - 10962. Suppose -5789 = -3*a + 181. Let u = a - d. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -171.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0335 and -1598?\nAnswer: 53.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 1, z: 1, g: 2, b: 7, f: 5}. What is prob of picking 1 g and 1 b?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 666 - 669. What is the hundreds digit of q + 4594\/6 + (-8)\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - f - 2 + 0*f + f + f + (-3 - 1 + 3)*(-1 + 1 - 2*f))*(8 - 6 + 10) to the form q + n*f and give n.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7976, 31812, 71538, 127154, 198660?\n\"Answer: 7945*g**2 + g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*q**3 - 7*g**3*q + 5*g**3 - 7*g*q**3 - q**3 - 5*q**2 - 2*q + 8 wrt q.\nAnswer: -12*g**3*q - 42*g*q - 6*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**7\/1365 + 5*c**6\/156 + c**5\/15 + 229*c**2. Factor z(x).\nAnswer: -2*x**2*(x - 26)*(x + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -11*u**2 + 10*u**2 + 11*u - 2*u**3 - 3*u - 5*u**2 + 24 = 0?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 4*k + 15, 0*d - k - 9 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*n + 336*n - 216*n + 360 = 0. Solve 0 = n*w + 5*r + 14, 5*w - r = -6*r - 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + b**3 - 23*b**3 + 7*b**3.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17*5\/(-10))\/(3\/(-118)). Let d = o + 333. Sort 0.02, 1\/36, d in ascending order.\nAnswer: d, 0.02, 1\/36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964462.\nAnswer: 2, 482231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (280\/400 - 1) + (-8749)\/(-130)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j. Let u(n) be the first derivative of -11 + 0*n**2 + 4\/3*n**3 + 0*n. Determine u(l(v)).\nAnswer: 100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 445, 1040, 1781, 2668, 3701?\n\"Answer: 73*n**2 + 376*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*v**5 + 2 - 2 + 2*v**2 - 35*v**2 - 276*v**5 - 1 wrt v?\nAnswer: -18540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/52 - -23\/156. Let u = -6 + 8.2. Let w = -2 + u. What is the smallest value in m, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*v + 25, -8 = 2*i + v - 68. Suppose i*a + 90 = 34*a. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45536448*l**2\/5 + 21435792*l\/5 - 2522667\/5.\nAnswer: -3*(3896*l - 917)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -3, 11, -38, 0.\nAnswer: -68, -38, -3, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 12\/(-13))*2. Sort -10, 1, p in ascending order.\nAnswer: -10, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -10*l - 46. Let i be p(-5). Solve -y = -i*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 9*k + 12. Let f be n(6). Let j be 35*2*(-3)\/f. Is 2\/(-7) + 1\/(j\/18035) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.6 - -3.9. Sort -1\/4, -1\/2, 0.6, l.\nAnswer: -1\/2, -1\/4, l, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15075+-10105907\nAnswer: -10105906.84925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2703 = 2*t + 145, 5*t = g + 870. Let q = 3303\/4 + g. What is the common denominator of q and -53\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Let x(w) = w + h*w - w + 2 - 6*w. Calculate the remainder when x(-4) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619414*w + 15990 = 619619*w for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-8)\/2) - -19. Let w(t) = 2*t**2 - t + 1. Let o be w(1). Let q = 0 + o. Calculate the highest common divisor of s and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 - (3\/((-6)\/8182) + -5)?\nAnswer: 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 13*m - 2. Calculate x(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-68)\/170 + (-1 - 918771\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 10:56 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2740 by -4.\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - j**2 - 4*j - 6. Let t be h(-4). Let l = t + -2. Is l a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 6:50 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9543037 + -6210637. Round p to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29453, -58905, -88347, -117773, -147177, -176553, -205895?\nAnswer: -235197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/10*10\/(-3). Let b(s) = -409*s + 10235. Let z be b(25). Sort o, z, -3 in descending order.\nAnswer: z, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23954)\/177 + 8\/6. Let j = a - -137. Calculate the smallest common multiple of j and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-63)*27825\/(-530)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*s - 16 = -k, 0 = k - 5*s - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 8*w = -12*t - 12*w - 65, -t + 70 = t - 16*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t + 93. Let h be x(13). Suppose 10*k - 12 = -h. What is the nearest to -6 in 3, -2\/17, k?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85683\/4 - 3\/4*c**2 + 507\/2*c.\nAnswer: -3*(c - 169)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2236\/(-6006)*-33*21\/(-6)*-1\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4394*-1.\nAnswer: 4394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-3)\/(-12))*1\/20*-155?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-8*t + 5*t - 8*t)*(0 + 0 + 3*t).\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2518039 minutes to milliseconds.\nAnswer: 15108.234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9980599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16452200 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 597 and 206761.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5362700 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38243 is divided by 1819?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 416\/10505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + sqrt(51)\/sqrt(3))**2.\nAnswer: -18*sqrt(17) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 10*d - 5 + 0 in the form r*d + s and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/106020 and -7\/231648?\nAnswer: 107716320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.33348975 + 3.40349. Let s = -0.07 + y. Round s to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 32. Let t = b - -15. Solve -t*z - 28 = i - z, 2*z = 2*i - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58ab671 + 4?\nAnswer: 58ab675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -10\/13, 1\/6, -4, -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1822836 divided by -2.\nAnswer: 911418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -162 - 6ba?\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 576, 1294, 2290, 3558, 5092, 6886, 8934?\nAnswer: 11230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 5*l. Suppose -2*q - 3*n - 7 = 0, -2*q = n - 5*n - 28. Suppose l*i + 48 = q*i. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4175051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -19*g**4\/24 - 31*g**3\/6 - 4*g**2. Find the first derivative of a(h) wrt h.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -12, -17.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003210 (base 7) to base 6.\nAnswer: 2313531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -592 - -842. What is the highest common divisor of 100 and x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(18\/5)\/s)**5\/(s*s\/(s\/s**(-9)))**(2\/5) assuming s is positive.\nAnswer: s**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435661 is divided by 423?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 517 + -81. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccqcxgqccxcxx. Give prob of sequence gc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 31114380.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**2 - 7806*g - 268872 = 0.\nAnswer: -34, 2636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in -9071, -9, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -43705\nAnswer: -218525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 24 in increasing order.\nAnswer: -3, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 169754094 divided by 309?\nAnswer: 549366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*d - 170*d + 7 - 7 - 16*d**2.\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.78 (b) -0.3 (c) -1\/12 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/18330 and -109\/18.\nAnswer: 54990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -225 + 382. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243.2161 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92305219 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 - 6*r - 1. Let k(s) = -14*s**2 + 18*s + 3. Let g(q) = -6*k(q) - 17*v(q). Give g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260337071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 3*d**2 - 2*d - 3. Let g(r) = 5*r**3 + 17*r**2 + 11*r + 17. Determine 6*g(z) + 34*x(z).\nAnswer: -4*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -10.\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -41.9699. Let a = -0.03 - z. Round a to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((146\/(-1460))\/((-41)\/10))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 5. Let k(o) be the second derivative of o**5\/20 - 4*o**3\/3 + 8*o**2 - 1210*o - 1. Calculate 8*a(g) + 3*k(g).\nAnswer: 3*g**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1125 and -0.73268.\nAnswer: -824.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -31. What is the units digit of (1 + -5)\/((-4)\/j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -13*h**3 - 4*h**2 - 4*h - 2. Let n be f(-2). Let q be (-6)\/21 + n\/(-14). Let g = q - -16. Calculate the highest common factor of 72 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4537*49.\nAnswer: 222313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 517 (base 9) to base 3\nAnswer: 120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kqpkpkkqpkkkp?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -54, -4 in descending order.\nAnswer: 9, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52\/6 + (-3850)\/1050. Let p(n) = n**3 - 4*n**2 - 5*n + 5. Let q be p(5). Suppose -q*x + 8 + 7 = 0. Solve -x*a - 17 = -b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**(-43)*(z*z*z**5)\/z**(-1\/4))\/(((z\/z**3)\/((z**(-3\/2)*z)\/z))\/((z*z**0\/z*z)\/(z*z**(-2\/7)*z))) assuming z is positive.\nAnswer: z**(3393\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l + 4. What is h(-4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 - 3 - 4 - 1 + 3. Let x(p) = -3*p**2 - 6. Let w(h) = 2*n(h) - 3*x(h). Let q(l) = -l - 3. Let f be q(-3). Determine w(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1 - (-3 - -2)) + -1)*-3. Suppose -2*q + h*o + 33 = 3*q, 5*q = 5*o + 25. Is 11 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004034 to 4 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -368.5433, 0.1, 1\/5, 2\/7 in decreasing order.\nAnswer: 2\/7, 1\/5, 0.1, -368.5433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -6.2. Let n = 4 - 3.5. Let c = o - n. What is c rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100768\/(-336) + 251 - 2\/21?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -55*c**2 + 1\/20*c**5 + 0*c + 0 - 2\/15*c**6 - 16\/3*c**3 + 0*c**4. Differentiate m(g) wrt g.\nAnswer: -48*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 9. Suppose -u*r + 58 - 14 = 3*x, 0 = 4*r - 4. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 15 = -5*p, 5*p - 113*b - 10 = -110*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 542 divide 110998056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-7 + 6 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 23 + 2. Suppose -m*f = 1 - 46. Is 12\/((f\/516)\/1) - -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 4106.3.\nAnswer: 24637.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4912\/27, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3750\/(-210) - 351\/(-91)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*v + 4998 = -2654, 2*v = -12. What are the prime factors of o?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0536123l to millilitres.\nAnswer: 53.6123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 510963046 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 18*c + 13. Let q be y(7). Suppose 2*d - 278 = t, -2*t = -d + 2*t + q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-35))\/((-270)\/(-126)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g - g + (-4 + 1 + 2)*(-2*g - 2*g + 3*g) + 2*g - 2 + 2 - 41*g - 108*g + 55*g)*(4 + g - 4).\nAnswer: -93*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -535\/3, 164, -2, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*r**3*y*z - r**3*y + r**3*z - 9*r**2*z - 2*r*y*z wrt r?\nAnswer: 36*y*z - 6*y + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2664*p**2 - p + 3*p - 2409*p**2 as o + q*p + h*p**2 and give h.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y - 3*y**2 + 8*y**2 - 13*y + 26*y to s*y + f*y**2 + c and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*n, 2*n = -3*q - 3*n. Let s(y) = 3*y + 5. Let m be s(5). Suppose -m*g + 17*g + 9 = 0. Solve -4*u = u - q*k + 10, -g*u + 5*k = 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/4 - 5*m**3 + 14*m**2 - 14*m + 15. Let h be f(13). Solve -w - 5*s = w - 21, 3*w + s - h = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414780 divided by 1115?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3254894036.\nAnswer: 2, 23, 67, 113, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1286076.\nAnswer: -1\/1286076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r + 3 - 2*r - 3. Let t(p) = p + 1. Let g be t(1). Let b(n) = 2*n**2 - 5*n**g + 4*n**2. Calculate y(b(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -45*y**3 - y**2 - y - 1. Let o be w(-1). Suppose 6*k = -5*k + o. Let z = 13 + -13.1. What is the third smallest value in -1, -2\/15, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -0.9 (c) -0.3 (d) -770\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**32*o)\/(o\/(o\/o**(-6))))\/((o**(4\/15)\/o)\/o**(-2\/51)) assuming o is positive.\nAnswer: o**(3459\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + y - 2*t - 26, 56*t - 108*t - 6 = -49*t for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13755\/4, 5, 16, 0.06 in increasing order.\nAnswer: -13755\/4, 0.06, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {c: 1, g: 2, i: 1, u: 2, x: 1, n: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 15 = -6*v. What is the derivative of 0 + v - w**3 + 1 - 1 wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5908267 centimeters?\nAnswer: 0.005908267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.13 - -0.13. Let t = s + 1. Does t = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*f + 4*g - 7, 0 = -f + 5*g - 2. Suppose 5*c - f*d = -2 - 2, -2*c - 10 = -4*d. Solve 0 = 5*x - 16 + c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 4*b**2 - 4*b - 2. Let s be x(5). Is 28 - (-1 - -2)*s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -15*u + 5. List the prime factors of p(-2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 888 = 11*v. Let g be (-948)\/(-21)*77\/(-22). Let q = g + v. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 36. Is -5 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1120b761 - -5?\nAnswer: -1120b758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9487?\nAnswer: 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17195 - 17191. Solve -7 + 11 = -4*m + p, j*m - 2*p = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/11 and 217\/840 + (-2)\/(-10).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508253042 to the power of 1\/3, to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -19. Find the third derivative of 12*i**2 - 17*i**6 + 0*i**d + 0*i**2 wrt i.\nAnswer: -2040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 4*((-300)\/(-16) + -5).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -107, 2, -5, -3, 3 in descending order.\nAnswer: 3, 2, -1, -3, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 6*m**2 + 40*m - 49. Give f(10).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -10\/3*q**3 + 0*q + 0*q**5 + 0*q**4 + 1 + 1\/3*q**6 + 0*q**2. What is the third derivative of r(y) wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - d = -10*j + 283, 0 = -2*d + 4. Let c = -50 + 70. Calculate the remainder when j is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/226894 and -40\/62771?\nAnswer: 347374714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (-6*(sqrt(180) + 1 + -3 - (3 + sqrt(180) + 4)))**2).\nAnswer: -11668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 232602, 232581, 232546, 232491, 232410, 232297, 232146, 231951?\n\"Answer: -l**3 - l**2 - 11*l + 232615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v. Let k be q(-15). Let n be k\/(-1 + 4) + -4. Let a be -3 + n + -4 + -2. Solve 9 = a*u - 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1701\/5 + 341. What is the second biggest value in 2, 33, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256\/1833 - 2\/141. Let m = 2.94 + 0.06. Let c = m - 3.1. What is the closest to 1 in z, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/7))\/z)**40\/(z\/(z**(2\/5)*z)*z)**(-48)*(z*z**(-6)\/z*z*z**(1\/2))\/((z\/(z**(1\/4)*z))\/z)**(4\/9) assuming z is positive.\nAnswer: z**(8459\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -866 greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 215.176 + -215. Let h = 0.076 - p. Let w = -7 + 3. Which is the nearest to h? (a) 4 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/4)\/((3\/6)\/(255\/(-6120))).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21236 is divided by 219.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/16*20)\/(50\/3320) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 8448102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -7*h**5\/120 - 13*h**3\/2 + 19*h. Let r(f) be the second derivative of a(f). Give r(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14952 divided by -1068\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36 and 81\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007587 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + 8.9. Let a = 6.7 - w. Let h = 8153\/19 + -429. Put a, h, 1 in decreasing order.\nAnswer: 1, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 275.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 2. Let x be y(-5). Suppose 4*t - 5*t + 5*f = -7, -x*t + 7 = -f. Suppose -26 = t*v - 3*v. Solve 3*m = -4*l - v, -9 = 2*m - l + 2*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5 - 10. Suppose -2*c = -3*i + 19, p*i - 5 = -4*c + 2. Let o be (-9)\/(-12)*4\/i. Is 2 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 10 = 2. Suppose -a*y = -5*s - 7*y + 15, 5*y = -2*s. Suppose -s*z + 23 = -32. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 197*s**3 + 254*s**3 + 4*s + s + 4 to k*s**3 + f*s**2 + i + n*s and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47961 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 344618975 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5*v - 15, 5*j + 14 = 4*v + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 41, 108, 215, 368, 573, 836, 1163?\n\"Answer: h**3 + 11*h**2 - 7*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 15 = -z. Suppose -z*j + 149 = 39. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 347 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - x**2 + 1 - 24 - 2*x**2 + 14 + 3*x**2 + (-1 + 3 + 0)*(-2*x**2 - x**2 + 4*x**2) + 3*x**2 - x**2 + x**2 to j*x + i*x**2 + p and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3302 is divided by 1095?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 86*z + 4*z - 107*z in the form k + m*z and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + 4*c**2 - 2*c. Let w be f(2). Let z be (5 - 4)*(1 - 7). Let d = w - z. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11230, 11231, 11232, 11233, 11234, 11235?\n\"Answer: m + 11229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*c**4 + 251731*c**2*g + 296*g + 5275 wrt c.\nAnswer: -272*c**3 + 503462*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 376\/7, 63, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 3*t - 2. Let f be y(-5). Let l(z) = 151*z**2 - 2*z - 5*z - 150*z**2 - 10. Let q be l(9). Is q smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 208.00902 - 0.00902. What is the nearest to o in 0.3, 6, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/23585 and -81\/70?\nAnswer: 330190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 4. Let o(n) = 2913*n**2. Calculate o(c(u)).\nAnswer: 11652*u**2 - 46608*u + 46608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f - 283. Let h be j(-32). What is the greatest common factor of 425 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r + 182. Let z be a(0). Let u = z + -177. Solve 0 = -2*y - 3*g + 2, 3*y + g - 6 = u*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 80*h**4 - 2*h**3 - 4*h + 365. Let p(i) = i**4 - i**3 - 2*i - 1. Let v(x) = 6*p(x) - 3*r(x). Differentiate v(m) with respect to m.\nAnswer: -936*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-306)\/(-81) - (-4)\/18. Let y = -33180 + 33186. Solve 7*u = y*u - j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -852964.51 rounded to the nearest 1000?\nAnswer: -853000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 610506427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/(2\/(-4)). Let c be (1\/(-6))\/((-4 + 9)\/(-15)). What is the nearest to c in 0.1, -3, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*t + 66 - 66)*(1 + 2*t - 5*t - 3).\nAnswer: 219*t**2 + 146*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*v + 428 - 424 - 4*v to p*v + m and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*s + 135 - 2071, -a + 2*s - 974 = 0. List the prime factors of (2*4)\/((-20)\/a).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjqc. What is prob of sequence qc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + sqrt(13) + sqrt(117) + -4 - (5 + sqrt(832) + -1))*-2*-3)**2.\nAnswer: 36000*sqrt(13) + 209700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 5*a**2 - 7*a - 13. Let k be r(-4). Put -2, k, -3 in ascending order.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*r - 3*f, -r - r + 9 = -5*f. Suppose -3*m - r = 2*p + m, p + 4*m + 8 = 0. Sort 5, 0, p in ascending order.\nAnswer: p, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -3)\/(112 - 110). Solve -219*b + 218*b + 5 = o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-3*sqrt(66)*3)\/(2*(sqrt(6)*3*-2 + sqrt(6))))**2.\nAnswer: 891\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12223020 (base 6) in base 13?\nAnswer: 1095ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-42)*42\/(-70)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j**3 + 13*j**2 - 2*j. Let q(n) = -5*n**3 + 7*n**2 - n. Calculate 3*f(c) - 5*q(c).\nAnswer: -2*c**3 + 4*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871238595.\nAnswer: 3, 5, 7457, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -225 - -2?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11*z - 1 + 12*z - 2. Let r be q(12). Find the first derivative of 0*f + 8*f - r + f wrt f.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 60*v**2 + 16024*v + 1062. Calculate i(-267).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15929991 to the nearest integer?\nAnswer: 3991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 12*g + 440. Determine d(-36).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -18\/5, -13, -1\/9.\nAnswer: -13, -18\/5, -1\/9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c554 (base 15) in base 8?\nAnswer: 1405457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttegwf. What is prob of picking 1 g and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 5*h = 0. Let t be ((-44)\/28 + 2)*6\/(-9). What is the nearest to -0.04 in t, 3\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*u**3 + 510*u**2 - 2934*u + 4600 = 0. Calculate u.\nAnswer: 23\/8, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ab603 (base 15) in base 10?\nAnswer: -1304103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61290 less than 14402904\/235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*2*3 - sqrt(76)) + sqrt(76) - sqrt(76) - (2*sqrt(76) - sqrt(76))*-1)\/((sqrt(4) + (sqrt(48) + sqrt(144)\/sqrt(3) - sqrt(48))\/sqrt(12))*2).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380941 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g + 5. Let j(m) = -22*m + 14. Let c(u) = -5*j(u) + 16*y(u). Determine c(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -970*f**2 + 954*f. Let x(g) = -5*g + 2. Give x(w(k)).\nAnswer: 4850*k**2 - 4770*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -252, -256, -262, -270, -280?\n\"Answer: -r**2 - r - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 + 4*j**2 - 18*j + 1 + 61*j**2 - 78*j**2.\nAnswer: -5*j**2 - 18*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -129848 minus 0.5?\nAnswer: -129848.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -1\/6*h**4 + 1\/15*h**5 + 5*h**3 + 4 - 7*h**2 + 0*h. What is the derivative of n(u) wrt u?\nAnswer: 8*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffyytffyyybfftyfey. Give prob of picking 2 t and 1 e.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 = y - 32, -5*y = 3*m - 54. Solve 18 = 3*s + 3*f, s - 3*f + 1 = -m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5523 divided by -7\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3843, 7688, 11533, 15378, 19223, 23068?\nAnswer: 26913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**6\/10 - 9*u**5\/10 - 7*u**4\/4 - 44*u. Suppose b(n) = 0. What is n?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 14. Which is bigger: 12 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-7)*i**(2\/51)*(i*i**22*i)\/((i**(-24)*i)\/i) assuming i is positive.\nAnswer: i**(2858\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 29*q**3 - 2*q**2 - q. Calculate l(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172356*z + 60544.\nAnswer: -172356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -98. Solve -5 = 3*i - o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*s - 47 = 3*o - 1008*s, 16*o - s = 76 - 225 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02380730641 rounded to five dps?\nAnswer: -0.02381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*u - 270 + 39 = 0, 0 = 3*m + 3*u - 144. Let d be (-7)\/28 - 1882\/(-8). Calculate the highest common factor of d and m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-3)\/(-6) - 1562. Let j = 3059\/2 + m. What is the common denominator of j and 13\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 7*i = 2*p, i + 4*i - 10*p - 10 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 12, -g + 1466 - 1447 = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 733, 6733, 23279, 55645, 109105?\n\"Answer: 879*t**3 - t**2 - 150*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = 456*h - 38*h. What is the third biggest value in 0, 271\/6, h, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -5523353166?\nAnswer: 5523353202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -8, 1, 10, 19, 28?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/4700 and -1\/130425.\nAnswer: 521700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13650 = 154*o - 129*o. What is the highest common factor of 351 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-20)*(v\/(v\/(v\/(v*v**9)))*v)\/v)**(-5\/8))**(2\/105))**(8\/9) assuming v is positive.\nAnswer: v**(58\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1157351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4 + 38*o**3 + 191*o**2 - 62*o - 960 = 0. What is o?\nAnswer: -32, -5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3135 - -4409. What are the prime factors of h?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 514 + -497. Let c(b) be the first derivative of 0*b**5 + 0*b**3 + 0*b - 7\/2*b**6 + a + 0*b**4 + 21\/2*b**2. What is the second derivative of c(l) wrt l?\nAnswer: -420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000110101111010 - -101?\nAnswer: 11000110101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14.41596ns?\nAnswer: 0.00000001441596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65199\/2 + 32600. What is the nearest to 1\/4 in -0.5, -4, -23, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 6*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -893eac + -1a?\nAnswer: -893ec6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/12*(-6)\/4. Let d be 1\/((-30)\/9)*-2. Which is the closest to -1? (a) d (b) n (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -834141 divided by -33?\nAnswer: 25277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-3\/5)*v))\/((v\/(v\/v**9*v))\/v)*v**2*v\/v**(-19) assuming v is positive.\nAnswer: v**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.72 + -16. Let u = m + 0.08. What is the third smallest value in -5, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16103 = -1925*s - 703 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -15291811*o. Let a(c) = 3*c. Calculate m(a(v)).\nAnswer: -45875433*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 58 = -j. Factor -2*i + i - 7*i + 0*i**2 + i**j - 5*i**2.\nAnswer: -4*i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -240\/7. Let b = 0.27 + -0.37. What is the closest to 3\/4 in b, 3\/8, g?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.33165 micrograms to grams.\nAnswer: 0.00003633165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, h: 2, m: 2, l: 1}. What is prob of sequence lh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 48 = 5*v - 218, -5*n - 48 = -v. Calculate the remainder when 210 is divided by v.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1225 - -382. Is 53 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 1344?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3204*x + 179855 - 46426 = -1957*x for x.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.1008 and 0.48?\nAnswer: 2.6208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*h + 150 - 780 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((-8 - 6) + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2 - 6 = 0. Let q(z) = z**3 - 6*z**2 + 5*z + 7. Let s be q(5). Suppose -m = -s*m + 18. What is the greatest common divisor of m and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 5*x - 10, 0 = -4*r - 5*x + 4 + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*2*sqrt(7) + (sqrt(252) + -1)*-2)**2.\nAnswer: -88*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 294 = -312 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hee when three letters picked without replacement from {d: 1, w: 1, h: 2, e: 10}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5166 divide 3577842907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 68160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3 - 1. Let q(g) = 14*g**2 - g. Let p be q(l). Solve -5 - p = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - y = 3*y - 140, -y - 4 = 0. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3308 divided by -2.\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 21*m**2 + 47*m - 287. Determine c(20).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3760 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 0*w**2 + 15 + 5\/3*w**3 + 0*w - w**5 + 0*w**4. Solve l(c) = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-458)\/(-14) + 32\/112. Let o = u - 25. Solve 10*t - 2 = o*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150.1 - -150. Let a = 53 + -57. What is the fourth smallest value in a, -0.5, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/8)\/((-11)\/3124). Suppose w = 11*h - 30. What is the highest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -2*a**3 + 11*a**2\/2 - 2. What is the second derivative of q(b) wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25)\/20)\/(1\/4). Let s(q) = -q**3 - 7*q**2 - 18*q - 28. Let u be s(v). Solve 0*j = -4*j + u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, c: 1, d: 4}. What is prob of picking 1 z and 1 d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1235186, -1235188, -1235190, -1235192, -1235194?\n\"Answer: -2*m - 1235184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2701.865us in milliseconds?\nAnswer: 2.701865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-154)\/(-28) - 7)\/(219\/114 - 2). Solve 0 = -y*b + 54 - 73 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, 0, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22958249?\nAnswer: 1583, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 30. Suppose 0*x = -z*x + 1542. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139493\/23680 + -1256\/185. Is z smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27836341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 7) to base 10\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 938701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0*f**3 + 0 + 0*f**2 - 1\/3*f**4 + 12*f. Let a(y) = -3*y. Give a(h(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 128644610 divided by 5?\nAnswer: 25728922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7909.99 rounded to the nearest ten?\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**3 - 110*d**2 + 675*d = 0?\nAnswer: -27, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 9, 1\/4, -2, -2\/103, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 310262408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -12. Suppose -q*v = -v + x - 10, -3*v = 4*x - 6. Suppose 4*j = -0*j + v*a - 274, -5*a - 15 = 0. Round j to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*f, -39*j - 4*f + 2 = -40*j. Solve -6*m - 4*z = -4*m + 18, -j*m + 5*z = -9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, 911, 2978, 5901, 9686, 14339, 19866, 26273?\nAnswer: 33566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -311.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2. Let c(o) = o - 12. What is 2*c(w) + 14*z(w)?\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + -28b?\nAnswer: -27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18859, -151212, -510459, -1210048, -2363427, -4084044?\nAnswer: -6485347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5704*b + 981. Is o(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/216*18*-6.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/13 (b) 1 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 184, 285, 386, 487?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 9*q - 390. Let n(y) = -y**3 + 26*y**2 + 2*y - 18. Calculate the remainder when n(q) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r - 12 = 68*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.00791 times -149\nAnswer: 1.17859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 7:49 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 5:41 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2757*w**3 - 5 + 5 - 2827*w**3.\nAnswer: -70*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2358 divided by 119\nAnswer: -2358\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62756 + 22525. What are the prime factors of t?\nAnswer: 3, 7, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 598 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34190 and 68790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 1 - 1)*(8 - 50 - 96) to the form p + j*o and give j.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10499.04 litres to millilitres.\nAnswer: 10499040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 31*c - 18. Let s be i(5). Suppose -k + 274 = k. Let j(n) = s - k + 9*n. Let p(f) = 2*f. Determine p(j(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 633637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.82445584 * -1\nAnswer: -1.82445584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3235769 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 8303257?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**4\/8 - a**2. Let x(n) = 2*n. Let i(u) = -93*u - 557. Let f be i(-6). What is f*j(d) + 3*x(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s\/s**(-5\/3))))\/s)\/s**(4\/9)*(s\/(s\/(s*s**(-2)*s)))\/((s\/s**3)\/s*s))\/((s**(-1\/2))**(4\/19)\/(s*s*s**1)**(-2)) assuming s is positive.\nAnswer: s**(-457\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 511*t**2 + 70 + 183*t**2.\nAnswer: 694*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9217 - 9217 + 211*u)*(0*u**2 - 2*u**3 + 0*u**2) to j*u**4 + g*u**3 + l + h*u**2 + y*u and give j.\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63463, 63467, 63471?\nAnswer: 63475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2139 - -64a?\nAnswer: 2787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m - t - 10 = 0, 0 = 3*m - 5*t + 10. Solve m*l - 3 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r + 0 - 1\/7*r**4 - 68\/7*r**3 - 1156\/7*r**2.\nAnswer: -r**2*(r + 34)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 864202, 1728406, 2592610, 3456814, 4321018?\nAnswer: 5185222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 16) to base 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41869*l*n**2*x - 10*l*n**2 + 788*l*n*x - l*n + 401*l*x - 42*n**2 - 2*n + 4*x wrt n.\nAnswer: -83738*l*x - 20*l - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/5 + -8\/5. Let n = -58.7 + 59. What is the fourth smallest value in n, z, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1038 - 3*n + 160*n**3 - 1038 - 3*n to x*n**3 + g + l*n**2 + s*n and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (51 + 6 + -7)\/(2\/(-4)). Let q = 88 + v. Let m(l) = l**3 + 14*l**2 + 22*l - 22. Let c be m(q). Sort -5, c, 5, 0 in ascending order.\nAnswer: -5, 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 5:14 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 2. Suppose 2*f - 6 = 6. Suppose q = -2*q + f. Calculate w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o = -2*u + 9, -5*o + 4*u - 3 = 0. Let j be 103\/4*((-2364)\/(-116) - o). Let f = j - 602. Is f less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6118549 to the nearest integer?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 726*z**5 - 3948*z - 6323. What is the derivative of v(h) wrt h?\nAnswer: 14520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5329354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8414 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -36)*8\/12. Suppose -n = -3*u + 10, -4*u - u + 4*n + r = 0. Suppose 4*j + 9 + 3 = 0, -5*j + 37 = u*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17879246*d - 50049766*d - 14040061*d - 13969757*d.\nAnswer: -95938830*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2407*g**2 + 16*g + 4. Let x(k) = 2413*k**2 - 12*k - 3. What is -3*a(y) - 4*x(y)?\nAnswer: -2431*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139443 is divided by 19901.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -3)\/(126\/(-129) - -1). Let n = z + 244. What is the remainder when n is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o - 2*o + 4*o + (-2*o + 0*o + 4*o)*(5 - 1 - 3) - 2*o + 6*o - 2*o to p + b*o and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 523385, 523416, 523447, 523478?\n\"Answer: 31*x + 523354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 4 - 4 + 4*n - 2*n - n + (-2*n + 3*n - 3*n)*(1 - 1 - 1) - 4*n + 2*n - 3*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31289541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18961 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 10*p**2 + 3*p - 10. Let d be m(20). Suppose 17*o - d = 7*o. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*o + 2*m + 28, -o = 5*m + 32. Let l = -1 - o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f**2 - 5*f**2 + f**2 + 2*f**2. Let o(h) = 6*h. Calculate d(o(i)).\nAnswer: -396*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5 = -12. Let d(z) = -z**3 - 17*z**2. Let h be d(a). Let y be (-3)\/(h - 3\/26). Solve -5 = -q, -2*s = -q - 3*q + y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-25)\/(225\/(-126))) + 60\/14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -32980*s**3 - 46560*s**2 - 5820*s. Let j(t) = 8*t**3 + 8*t**2 + t. Give -i(u) - 5820*j(u).\nAnswer: -13580*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, l: 5, f: 7, e: 2}. Give prob of sequence lu.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.15994 hours to nanoseconds.\nAnswer: 54575784000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62730 by 2250.\nAnswer: 697\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -27*o**2 + 8*o + 21. Let j be i(-2). Suppose -4*n - 3*d = 18 + 180, -3*d + 6 = 0. Let u = n - j. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 6*c + 1571. Let h be n(-31). Put 3, -2, h in decreasing order.\nAnswer: h, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498344532?\nAnswer: 2, 3, 7, 5932673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - z. Let v(t) = -10*t**2 - 7*t - 5. Let h(a) = 5*j(a) - v(a). Let k(w) = -3 + 4*w**2 + 5 + 2 - 4*w + 6*w. Calculate 3*h(p) - 4*k(p).\nAnswer: -p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 77804a?\nAnswer: 778046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7421.499 hours in microseconds?\nAnswer: 26717396400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 2150, 1, 253 in ascending order.\nAnswer: -6, -4, 1, 253, 2150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21574 - 21573.9. What is the closest to -0.34 in 3\/7, -1\/4, b, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 0. Let y = 115\/7 - 445\/42. What is the common denominator of (1\/1 - 35)\/c and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**2 - 57*m + 565. What are the prime factors of v(15)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/108 and -73\/60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 7) + 5 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -265752, -265187, -264622, -264057?\n\"Answer: 565*u - 266317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(1598*s**3 - 1585*s**3 - 3*s**2 + 9*s**2 + (2 - 1 - 3)*(s - s + s**3) + 2*s**3 + 0*s**3 - s**3) to z*s + w + t*s**2 + c*s**3 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 97*i**3 + 4*i**2 + 26*i + 20. Calculate j(-1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 1:28 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 75. Solve -9 = 3*t, -l*t + 1 = -v - t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from nwwhcad.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/31 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*l + 4*f, 2*l + 2*f - f = 3. Let o be (-1)\/(1 - l - 0). Which is the biggest value? (a) o (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23)\/(-2) + (-4)\/(-8). Let h = i + -5. Differentiate -1 + h*v**3 - 9*v**3 - 2 with respect to v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7732, -7730, -7728, -7726, -7724, -7722?\nAnswer: -7720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -7.8. Let d be 0 - -5 - (0 - -1). Which is the closest to -1? (a) d (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:04 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 - -75. Let m = 1180 - 1176. Solve n - 2*j - 7 = m, -3*j = 3*n + b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - (-8 + 32 + -51).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.2, 16 in decreasing order.\nAnswer: 16, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/8505146 and -35\/8952.\nAnswer: 102061752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -338\/105 at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-26))\/9*104\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17456 + 17456. Solve 356*j - 365*j = v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1504 by 3.\nAnswer: 1504\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 6352743?\nAnswer: -6352741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/19)\/(s**(-3)*s))\/(((s**(-11)*s)\/s)\/((s**(2\/17)\/s*s)\/s)))**(-22))**(-44) assuming s is positive.\nAnswer: s**(3821664\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489 = -32*t - 276 - 387 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, g: 7}. What is prob of picking 1 g and 2 q?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 759 and 48.\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2*(-3236)\/3 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + 63.4. Let j = l - -5.9. Which is the third biggest value? (a) 7 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160448794 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 9. Let w(v) = v + 37. Let k be w(i). Let h = k + -7. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(208)*-1)**2*4 - (2 + (sqrt(468) + sqrt(13) - sqrt(13)) + (-3*sqrt(52))\/sqrt(4)).\nAnswer: -3*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 - 5044*g**2\/5 + 3025*g - 10082\/5.\nAnswer: (g - 5041)*(g - 2)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j - 5. Find the third derivative of 2*p**6 - p**6 + p**6 - 2*p**2 + j*p**2 wrt p.\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 0 - (-18 + 14). Suppose m = -5*c + 2*x + 24, -x - 21 = 41*c - 45*c. Solve 25 = 5*q - 4*p, -4*q + 0*q = 2*p + c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99)*2 + 0 + sqrt(99) + sqrt(99) - 5*(1 + sqrt(99)))*-4)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-14)))\/(j\/(j\/(j*j*j\/j**(-24)*j))*j)*j*j\/j**(-6\/5)*j*j**8 assuming j is positive.\nAnswer: j**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-8)*104\/(-39).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63860666 to the power of 1\/2, to the nearest integer?\nAnswer: 7991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -b + 673 - 672, 4*b + 16 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-5))\/((-7)\/385) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/3 + 702*h**3 + 9530*h**2 - 522106*h\/3 - 182864 = 0.\nAnswer: -1039, -24, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - 4*sqrt(70)*-2)\/(sqrt(110)\/(sqrt(11)*-1)).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095208 to the power of 1\/2, to the nearest integer?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 75\/12 + -6 - 2\/8. Let v(x) be the first derivative of k*x**3 + 4 - 3\/5*x**5 + 0*x - 2*x**2 + 0*x**4. What is the second derivative of v(y) wrt y?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 176963.4cm?\nAnswer: 1.769634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266264426 to the power of 1\/2, to the nearest integer?\nAnswer: 16318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + -2.78. What is o rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 16*n + 9. Calculate the smallest common multiple of x(16) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 37*u**2 - 7*u - 2. Let y(d) = 18*d**2 - 3*d - 1. What is -3*p(k) + 7*y(k)?\nAnswer: 15*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 3)*(-6 + 1 - 2)*(-2*v - 3*v + 3*v) to d*v + b and give d.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 22*x - 131. Let j be k(5). Suppose -4 = -3*i + 2. Solve 0 = -h - 0*h - i, 0 = 5*z - j*h - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2. Suppose -4*r = -4*x - 16, -17*r + 21*r = 16. Let q(p) be the first derivative of 3\/2*p**2 + x*p - 4. What is u(q(n))?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 244 + 406. Let i be 10\/4*20\/g. Let l(h) = -h**3 + 4*h**2 - 3*h - 3. Let v be l(3). What is the closest to v in -1, -2\/11, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 - 11180*x + 6249620 = 0. Calculate x.\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 595079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*q + 3*t, -q + 13 = -6*t + 7*t for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233298 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) -0.3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97506 by -4.\nAnswer: -48753\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 9*a + 40 = 0. Let t(s) be the second derivative of 1\/6*s**2 + 0*s**3 + 0 + 3*s - 1\/36*s**a. Factor t(x).\nAnswer: -(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264147 divided by -3\nAnswer: 88049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 4*z + 0*z)*(4*z**3 + 4*z**3 - 7*z**3) + (-8*z - 8*z + 24*z)*(2*z**3 + 5*z**3 - 5*z**3) in the form v*z**3 + h*z + u + o*z**2 + q*z**4 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8048 + 8044. Sort -68, 2, 11, f in descending order.\nAnswer: 11, 2, f, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*7\/21)\/(6\/2)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3765417 rounded to four dps?\nAnswer: 0.3765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 7. Let c be b(-11). What is the third derivative of -2*t + 3*t**4 + c*t - 2*t - 2*t**2 wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-8)\/19) - (-3)\/(-4). Suppose 3*q + f*b = 8*q - 5194, -2*q + 2078 = -2*b. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddfdadrdk. What is prob of picking 1 f and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgrr. Give prob of sequence rr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 24 = -2*m. Solve -4*n = -3*s + 4, -n = -s - 2*n - m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2963 + -2968. What is the nearest to -11\/4 in 1, -3, 0.06, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/8*10*((-4)\/(-4))\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 12:33 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 8. Let x be (-2)\/(-3) - (-150)\/(-9). Let l = 9 + x. What is the units digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 108\/(-24)*3\/54*4. Which is the third biggest value? (a) y (b) 5 (c) 0.3 (d) 0.064\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.08, 0.04?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 15) to base 2.\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (14*5 - -2) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7061426 divided by 2\nAnswer: -3530713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563850 is divided by 537.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*s - 14, 4*i = -s - 2 - 17. Let o be 4\/(-8) - 62\/i. Determine m, given that -m**2 - o*m**2 - 16*m**3 - 7*m**2 - 8 - 44*m - 29*m**2 = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 1. Let p be g(7). Let a = 32 + p. Suppose 0*t - a = -4*t. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 11*j**2 + 7*j - 20. Let m be c(-9). Let x = -134 - m. List the prime factors of x.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -7*i - 3*j + 49, 3*j = i + 18. Solve -i*g + u - 23 + 21 = 0, 2 = 5*g + u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 116, 5, -5, 10 in decreasing order.\nAnswer: 116, 10, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 608\/104 + (-4)\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r - 15*r + 6. Let q be (2 + (-10)\/r)*282. What is q rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6223638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*o - 2*n, -o + 4*n + 1 - 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/5192)\/(603\/105592). Let j = 14\/177 + n. Factor 20\/11*z - 2\/11*z**4 - 6\/11 + j*z**3 - 24\/11*z**2.\nAnswer: -2*(z - 3)*(z - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75 - 15*k**2 + 19*k**2 - 75 - 14*k to the form g*k + z*k**2 + y and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 1, n: 4, g: 6, r: 1}. Give prob of sequence ygn.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8027978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -156376 + 83397.5?\nAnswer: -72978.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, -31, -5, 43, 119?\n\"Answer: z**3 + 2*z**2 - 3*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.08639km in millimeters?\nAnswer: 53086390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 9*n + 10. Let z be k(-7). Let q(i) = 5*i + 24. Let m be q(10). Let g = m + z. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i**3 - 5*i**2 + 2*i. Let r(o) = 9*o**3 + 4*o**2 - 2*o. Suppose -3*j - 2*p + 28 = 1, 0 = -3*j - 5*p + 45. Calculate j*r(n) + 4*w(n).\nAnswer: 5*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 q when four letters picked without replacement from ccmqxqucqcimxcm?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1379 and -40.\nAnswer: -55160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166292 - 166283 = -53*r. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-1)\/(-3)*(-38 + 23). Differentiate 98*n**b + 69*n**3 + 98 + 54*n**3 + 2*n**3 + 33*n**3 wrt n.\nAnswer: 768*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.5 (c) -1266 (d) 10 (e) 0 (f) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -122*m - 2. What is the hundreds digit of t(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.298952 + -6.999. Let s = -34 - -28.7. Let w = j + s. Round w to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.3886 rounded to zero decimal places?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/10, 5, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 12*l**2 - 18*l - 16. List the prime factors of z(-11).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145 + 145.53. Let i = 0.5906 - n. Round i to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44465855 is divided by 88.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Suppose 3*t - 5 = x*t. What is the second derivative of m + t*m**2 - 5*m**2 - m**3 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - d + 1. Let y(f) = -3*f**2 - 12*f + 38. Let m(h) = 2*v(h) + y(h). Let u = 62 + -33. What is the remainder when u is divided by m(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -1 + 4 + 0 + 4 + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 - -96. Which is the smallest value? (a) 6\/7 (b) 2\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + q**2 + 1)*(0*q**2 + 6*q**2 - q**2).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**4\/c))\/c**(-1))**11*(c\/c**(-1\/3)*((c\/c**(2\/13)*c)\/c)\/c)\/(c**(-2\/3)\/c**(-3\/5)) assuming c is positive.\nAnswer: c**(81\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide (-41 + 51)*((-13476)\/8)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -250?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 3*l + 28*l + 12 + 5.\nAnswer: 31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 10 = 0, 0*j - 2*j + 5 = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80.26406962 + -59.2640705. Let q = i + -21. What is q rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {u: 1, e: 2, f: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + -9 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1169*h - 128*h**2 - 631*h - 538*h.\nAnswer: -128*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0*x + 0 + 1\/3*x**3 + 0*x**5 + 3*x**2 + 0*x**4 - 1\/30*x**6. Differentiate n(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18198 is divided by 6046?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and 552230?\nAnswer: 2208920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956\/32*50 + (-245)\/28 + 9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*v + 15, o + 5*v + 14 = -2*o. Let l = 771 - 775.8. Which is the nearest to 1? (a) l (b) -3\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-234)\/(-4)*1*880\/24. Let v(q) = -q**3 + 7*q**2 + 10*q - 8. Let n be v(8). Suppose 0 = -n*j - 7*j + c. Is 33 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 547, 1100, 1617, 2104, 2567, 3012, 3445, 3872?\n\"Answer: o**3 - 24*o**2 + 618*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-7))\/((-3)\/(-9)*-3).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 0, 11, 40, 93, 176, 295?\n\"Answer: l**3 - 8*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7. Suppose w = -4*c - 5*l + 22, -2*c + 8 = l - 0*l. Suppose -c*i + 39 + 3 = 5*h, i + 4*h = 21. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 3*y - 5*y)*(-2*y**3 + y**3 - y**3) - 6*y**4 + y**4 + y**4 - 3*y**3 + 3*y**3 - y**4.\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-768)\/(-56))\/12)\/(2\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/2750 - (3926\/(-325) - -12).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -220*b - 9. Let p be d(-9). Suppose 3*n - 3*f = p, -2 = 4*f - 2*f. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046746761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express r + r - 11*r**2 - 2*r in the form a*r**2 + m + v*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 171065*z**2 - 1463247240*z + 1463076180.\nAnswer: -5*(z - 17106)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:03 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssfssfmvj. Give prob of sequence ffsm.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651\/84 + 0 - 8*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402 = -102*f + 35*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*u = 122*u + 5*p + 13, 0 = -14*u + p - 37 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0, -1, -0.1, -0.009, -2 in descending order.\nAnswer: 2\/13, 0, -0.009, -0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (4\/(-2))\/((-10)\/(-3480)*-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 9:20 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1798 - 215 - 2*i + 1521)*(-4 - 2 + 5)*(i + 2*i - 2*i).\nAnswer: 2*i**2 - 3104*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 499993339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**4\/12 - 2*w**2. Let m be h(-4). Let v = -6 - m. Solve -5*u = -5*t, 5*u - v = 4*t + 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -1 + 1 - 1. Let j(f) = -1 - 1 - f + 4. Is j(y) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1430, 1427, 1424?\n\"Answer: -3*k + 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102326 = 88*w - 382254. What are the prime factors of w?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -25. Let t(l) = 6*l - 8 + 5 + b*l + 2*l. What is the units digit of t(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q - 3. Let z(b) = 8*b + 44. Let h be z(-5). Calculate d(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/22? (a) -0.19 (b) -3 (c) -0.004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4996 divided by -153?\nAnswer: 4996\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**3\/2 - 6*r**2 - 7*r. Let z be t(5). Suppose -5*c + 0*k - z*k = -292, 5*c + 5*k - 300 = 0. Is c a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 7*p - 6. Let v be g(-4). Suppose -v*r = 17 + 1. Is (-2062)\/r*33\/22 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14744570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/4)\/(16\/196672) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 218*s**3 - 3*s**2 - 5*s - 17. Is 66 a factor of a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:17 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*w - 18 = 0. Let i = 13 + w. Solve 0 = u - b + 2*b - 5, -i*u - b + 14 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -38 (b) -51 (c) -452 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-149*v - 133 + 133)*(-v**3 - v**3 + 0*v**3) + (1 - 1 + 5*v)*(4*v**2 - 4*v**2 + v**3) as u + s*v**2 + q*v**4 + x*v + b*v**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 1239.\nAnswer: -8, 0, 1239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*j - 172*z + 25 = 48*j - 175*z, -j = -4*z - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Suppose j = -4*t - z + 30, -6*t - 3*z + 34 = -2*t. What is the third derivative of -4*u**2 + 22 - 22 + t*u**5 wrt u?\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 892 + 4708 = 0. Let i(p) = p + 7*p**2 + 709 + p**3 - d + 3*p**2. Let s be i(-10). Sort -16, s, -4, 5 in descending order.\nAnswer: 5, s, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39706950 by -529426.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -911 + r + 8154*r**2 - 4075*r**2 - 4077*r**2 in the form s*r**2 + p + v*r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 9, 0, -0.2, 0.03?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i - 633. Let o(w) = -3*w**2. Give b(o(f)).\nAnswer: -30*f**2 - 633","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: f852 (base 16) to base 3\nAnswer: 10020012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - ((2 - 16) + 16) - (-2 + -5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1520 - 1396. What is the smallest common multiple of 124 and h?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -321262478.\nAnswer: -321262483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + u + 2*u + (-6 + 4 + 0)*(0*u - 3*u + 4*u)*(-109 + 46 - 9).\nAnswer: 145*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 7*z + 504 = 0. Let n = 213 - z. Calculate the remainder when 94 is divided by n\/6 + 3 + 7\/14.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c**2 + 4*c - 10. Let j(o) = o**2 + 1. Let s(r) = -i(r) - 10*j(r). What is the second derivative of s(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {s: 3, o: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -147 divided by 21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 + 2040*f + 69938.\nAnswer: -(f - 4114)*(f + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 11 - (4 + -8). Is 15 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*t - 826 = 0, -4*w = -3*w - 2*t - 409. Let r = 7621 + -251455\/33. Find the common denominator of 1*w\/18 + -1 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -377575.4 + 377575. Let g(o) = -o**2 + 3*o - 2. Let z be g(2). Sort l, z, 0.2 in increasing order.\nAnswer: l, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144484*0.59\nAnswer: 85245.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 135420261, 135420262, 135420263?\n\"Answer: t + 135420260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -633.\nAnswer: 4\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -k + 4. Calculate the remainder when (26 - (-12)\/(-4)) + -2 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 4*n**2 + 2*n + 1. Let x = -29 - -26. Let j be t(x). Let m be (-4)\/(j\/1)*-1. Which is the closest to m? (a) 1 (b) 3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q + 20 = 0. Suppose -3*w + 4*r = -1619, -2*r + q*r = 2*w - 1078. Suppose 2*x - w = z - 0*z, 3*x - 3*z - 810 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 0.002448?\nAnswer: -0.002448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*(-12)\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92947*-2.4.\nAnswer: -223072.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:40 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 + -678 + 319 + -11 + -1 + (2 - 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*z + 126*z = 16. Sort -11, 2, z in decreasing order.\nAnswer: 2, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a7a0 - 93?\nAnswer: -a853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1106*o = -499*o - 107576 - 28081 + 18492 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195*b**4 + 2*b**3 - 646*b?\nAnswer: -2340*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 91\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*l**3 - 7700152*l**2 - 4620084*l.\nAnswer: -4*l*(l + 385007)*(5*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.8 - -2.15. Let o = 0.55 - r. Let u = 2.3 + o. Round u to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/8, 125, 5933?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.77 - -4.77. Which is the smallest value? (a) -19 (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81713508011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yydyrbydybyrr. What is prob of picking 1 b and 2 d?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 23\/113, 43 in decreasing order.\nAnswer: 43, 23\/113, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/1235420 and 127\/4460.\nAnswer: 1235420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124252104 (base 6) to base 4.\nAnswer: -21111303220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 2 - 2)*(-2 + 1 + 2) + (3 - 4 - 4)*(-2*s + 2 - 2) + (2 - 2 - s)*(-2 + 5 - 2)*(-3 + 4 + 1) as i + b*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 613241.9kg in nanograms?\nAnswer: 613241900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t + 27*t + 21*t + 9*t - 90*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, h: 1, w: 1, l: 1, c: 1}. Give prob of sequence ch.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001446 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + 2.5. Let i = -3.1 - -3. Which is the nearest to -0.1? (a) i (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y = -5*y - 4536. Let m = y + 237. Calculate the greatest common factor of 200 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 62*i**3 - 123*i**3.\nAnswer: -61*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246.5433 nanoseconds to seconds.\nAnswer: 0.0000002465433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86315*n - 11 + 565*n + 864*n + 46966*n.\nAnswer: 134710*n - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, -530, 3 in ascending order.\nAnswer: -530, -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -14 + (-2592)\/(-136).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -14. Suppose -x + 21 = f + 2, -5*f + u = x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-141180)\/(-8294) - (-1)\/11?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -386.8.\nAnswer: -77.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 4, 14, -0.4, 5.\nAnswer: -88, -0.4, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*a - 16. Let i be -1*a - (-23 + 16). Which is bigger: -6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**2 + 7. Let t(v) = 15*v. Calculate p(t(z)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 4*o + 25 = 11*u, -2*u + o - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5170 is divided by 644?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -278\/9 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/7)\/((((a**(-1)*a)\/a*a)\/a)\/a))\/(a\/(a\/a**(-1\/2)*a)*a)**(3\/35) assuming a is positive.\nAnswer: a**(153\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -123.66.\nAnswer: 37.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/52*1934\/12. Let x = p + 121. Suppose -14*b - 61 = -61. What is the third smallest value in -0.1, b, -2, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 305800 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 39063, -15, -3, 22 in descending order.\nAnswer: 39063, 22, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68025220?\nAnswer: 2, 5, 1511, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12880 - 12680 = -50*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbo when three letters picked without replacement from {x: 2, b: 2, o: 1, v: 7}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 - -138. Let i(h) = -h**2 + 7*h - 3. Let d be i(6). Let m(t) = -t**3 + d*t - 4*t + 0*t**2 + 6*t**2 + 1. Determine m(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(28\/(-10) + 3). Suppose -j*g + 18 = -2*g. Find the third derivative of 3*x**6 + 4*x**2 - 4*x**g - x**2 wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 27 = -5*t + 124, 19 = z + 3*t. Suppose -5*c + 40 = -5*n, 0*c - z = 4*n - 3*c. Sort 1, n, 2.\nAnswer: n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 9129001.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032591?\nAnswer: 3, 7, 49171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (10 - 6 - (-18)\/(-2)). Let a(q) = q**3 - 6*q**2 + 7*q. Calculate a(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3263000 rounded to the nearest ten thousand?\nAnswer: -3260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -367571 (base 8) to base 4\nAnswer: -132331321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 - 10*m**3 + 60)*(2 + 2*m - 2)*(-2 - 3*m + 4 + 4*m).\nAnswer: -20*m**5 - 40*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11038, 2\/5, -0.03, 0.2, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/9 - 10\/(-126). Let w = 24.2 + -24. Which is the closest to 0.1? (a) w (b) q (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 1, 9, 23?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.3. Let h = 51 - 74.5. Let u = -21.5 - h. Which is the nearest to 1? (a) -4\/5 (b) u (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**41\/(g**0)**17)**44 assuming g is positive.\nAnswer: g**1804","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p\/(p\/p**(-2)))\/p))\/((p\/((p*p\/p**(-7)*p)\/p))\/p))**(-1\/34)*(p**0)**(-12)*(p*p**(-6))\/p**(-2\/9) assuming p is positive.\nAnswer: p**(-785\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57542*j**4 + 1226*j**2 - 8*j - 2?\nAnswer: 1381008*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91 + 93 + a - a - 4*a**3 wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 7*k**2 + 5*k - 19. Let y = -52 - -44. Let p be t(y). What is the third derivative of -6*u**4 + 6*u**4 + 2*u**2 + 3*u**p + 2*u**2 wrt u?\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3\/(-2))\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/12*6 - -2. Which is the third biggest value? (a) -3 (b) t (c) -1\/2 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfklfkkckckkkkffkck. What is prob of picking 1 c and 1 k?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 12 = g. Suppose -g*d - d = -1765. Suppose -3*r + d = 4*a, 3*a = 2*r - 0*a - 224. 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 7:15 AM and 3:26 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116881 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 + -96.5. What is the closest to 2 in -3, b, 0.09?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 572 and 16112.\nAnswer: 2304016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-9)*(-2)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1790?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 0 = -2, -3*c + 2 = 2*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 314*l**6 - 751*l**2 wrt l.\nAnswer: 37680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:01 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**3 + 2*q**2 - q - 13. Does 17 divide s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/12*(-16 + 32). Solve 8\/3 - 2*l**2 + 2\/3*l**4 + k*l - 4\/3*l**3 = 0 for l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/88*12\/(-9). Let y be ((-3295)\/66)\/(-5) - 20\/120. Let i = c + y. Calculate the common denominator of -25\/6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -1)*(3 + -12). Let y(k) be the third derivative of k**4\/24 + k**3\/6 - k**2. Let q be y(0). Solve -4*z - q + f = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4.4, -304, 0.4 in descending order.\nAnswer: 4.4, 2, 0.4, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -47. What is the highest common factor of 42 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t. Let q(x) = -1069880*x**2 - x - 16. Calculate q(s(r)).\nAnswer: -9628920*r**2 - 3*r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9)\/m*(m*m*m\/((m*(m*(m\/m**(-1\/11))\/m)\/m)\/m))\/m*m**(-1\/7)*m**7)\/((m\/((m*(m**2*m*m)\/m)\/m)*m)**35)**(4\/5) assuming m is positive.\nAnswer: m**(24632\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 0 + 0 + 0. Let d(g) be the first derivative of 1\/3*g**3 + 0*g - 1 + 0*g**2. Calculate d(k(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 - 771410?\nAnswer: -771463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -q + 1202 - 1219, -5*g = -4*q - 35 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43909 - -896591. Round g to the nearest ten thousand.\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/((-2)\/5) - -4. Let h be y\/23*(1 - (-3)\/(-6)). Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**4 - 199388*i - 3125700 wrt i.\nAnswer: 12*i**3 - 199388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**3*o**3 - 11154*b**3*o**2 - 242826*b**2*o**3 - 56*o**2 wrt o?\nAnswer: -24*b**3 - 1456956*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s = -30*s - 36 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 8*o - 667 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119 * 0.8944\nAnswer: 106.4336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12857.\nAnswer: 13, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53*m + 2*m + 0*m)*(0*m - m + 0*m + (2*m - m - 10*m)*(0 + 1 - 3)) to u*m**2 + l*m + n and give u.\nAnswer: 935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -113?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0*p + 11\/8*p**4 + 0*p**3 + 11\/60*p**5 - 15*p**2 + 0. What is the second derivative of r(j) wrt j?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 0.08601?\nAnswer: 0.0008601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 969 + 711. Suppose 10*k = -0*k + x. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 4*f = 20. Put -1, 3, f in decreasing order.\nAnswer: f, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279207127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15016742 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 + 282. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 0 + 0 + (0 + 0 - 2*w**2)*(2 + 4 - 5)*(2*w - 3*w + 4*w)*(0 + 1 + 0).\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.88774ng to micrograms.\nAnswer: 0.08288774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = q + 2*b, -23*q + 27*q + b = -25 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3246099 is divided by 1100?\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*l**2 + 183*l**2 - 73*l**2.\nAnswer: 368*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6607.849 rounded to the nearest one hundred?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2*n**2 + 25. Suppose -26*c + 24 = -32*c. Let f(q) = 5*q. Let z be (-4 + 8)\/(0 + 1). Determine c*o(r) + z*f(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100312 (base 4) to base 8.\nAnswer: -12066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*a - 1199 = 530 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157574, 157575, 157576?\nAnswer: 157577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 5*a**2 + 8*a - 1. Calculate t(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 11*w - w + w**2 - 9*w + 1. Let h(m) = -9*m**3 + 5*m**2 + 6*m + 8. Let s(f) = 3*h(f) - 24*o(f). Solve s(n) = 0 for n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 3*y + 154 - 160, -3*y = 4*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, e: 6, v: 2, j: 1, h: 3, b: 2}. What is prob of sequence jvh?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n*n**(-2\/3)\/n)))**(4\/23)\/(n*n\/n**(2\/13)*n)**(-3\/7))**(-12\/17))**(-32) assuming n is positive.\nAnswer: n**(747392\/35581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1133, 1138, 1143, 1148, 1153, 1158?\nAnswer: 1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*v**2 + 33*v**2 - 72*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 138679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m*m**(1\/2))\/m)\/m)**(-17)\/(m**(2\/3))**(-28))\/(m**(-7)*m**8*(m**(2\/7)*m)\/(m*m*m**6*m*m*m)) assuming m is positive.\nAnswer: m**(793\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 6. Let d = j + -21.95. Sort d, -0.4, -5 in ascending order.\nAnswer: -5, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913676 is divided by 5221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248 by 3.\nAnswer: -248\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 2:29 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -826*g = -842*g. Let k be (-2)\/(-6) + (-2)\/6. Suppose k = 2*w - w + 2. Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1543*m. Let d(q) = -19*q. Calculate h(d(z)).\nAnswer: -29317*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/111 and 43\/333?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 2*f**3 - f**3)*(0 + 1 + 0)*(6 - 6 + 14*f)*(1 + 6 - 5).\nAnswer: 56*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 + 305. Let o = i + -312. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*6\/180 + 647\/15 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46389332 is divided by 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1562 divide 156232802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9330*c + 17856 = 9740*c - 5514 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a - 21. Calculate b(-4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (6 - (-4 + 2)) + (-8 - -2 - -139).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*o - 6*o + 2*o**2 - 24*o**3 - 38*o in the form n + h*o**3 + d*o + m*o**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35153175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**7\/4200 - y**6\/1800 + y**5\/120 - y**4\/40 + 13*y**3\/3 + 3. Let x(b) be the third derivative of k(b). Factor x(u).\nAnswer: -(u - 1)**2*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*o = 33, i + 2*i + 3*o = -27. Which is bigger: -9 or i?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 2. Let f be a(-5). Let z = f + -5. Find the third derivative of -3*s**5 - 3*s**2 - 2 + s**z + 2 wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/9 and 21\/23.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = -4*o. Let k = 1 - o. Let v(b) = 0*b**k - b**2 + 0*b**2. Let u(f) = -3*f**2. Give v(u(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 2100121?\nAnswer: 2100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -221 - 2302*u**2 + 82 - 3*u + 0*u + u wrt u?\nAnswer: -4604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/(-21) - (-154)\/1078.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/44*2*(-38)\/5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*-7\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 542*b - 2683. What is w(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 - 19*f + 3. Let k(w) = w**2 - w. Let a(b) = 6*k(b) - v(b). Suppose 4*y = 4*l - 36, -4*l + 0*y - 3*y = -22. Does 13 divide a(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1090*s - 1060*s - 2*s**2 + 0*s**2 + (s + s - 4*s)*(-2*s + 0*s + 5*s) - 4*s**2 + 2*s**2 + 0*s**2 in the form g + f*s + x*s**2 and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 16. Determine p(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/288 + -3\/32. Let d = -15 + 19. Sort 5, d, b in ascending order.\nAnswer: b, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*s**2 + 48*s**2 - 75375*s**3 - 32*s**2 + 26*s**2)*(s**2 + 0*s**2 - 2*s**2).\nAnswer: 75375*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2670.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6854?\nAnswer: 2, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/29718 and -21\/927862.\nAnswer: 8350758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*v - y, 0*y - 2*y = -3*v - 19. Is (v + (-42)\/(-7))*-521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 594 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 4*r**2 - 4*r + 59. Determine h(-7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -25, 185, 0 in ascending order.\nAnswer: -25, -3, -2, 0, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3783 + -3784. Which is the closest to o? (a) -0.4 (b) 0 (c) -1\/8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102\/253 + 3\/23. Which is the nearest to k? (a) 0 (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.15 and 897644249?\nAnswer: 897644247.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 13 - (2 - -1)) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 3:00 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:10 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1286501, -1286503, -1286505, -1286507, -1286509, -1286511?\nAnswer: -1286513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-53.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2 - 3 - 8*f**3 + 9*f - 9*f + 2*f**2. Let b be a(1). Let s = b + 13. Solve -j = 2*c + 15, s = -3*j + 2*c + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/14)\/((-1)\/(-34)). Let s = v - 8. Suppose 3*o = -0*o + s. Solve 0 = 2*q + o*r + 13, 5*q - 7*q - r = 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40a0 (base 11) to base 8\nAnswer: 12472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 12*v**2 + 43*v + 3. Let b(x) = -5*x + 92. Let c be b(22). List the prime factors of z(c).\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1305 + 5?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/34680 and 5\/4.\nAnswer: 34680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4320*i**2*v**3 + 844*i**2*v**2 - 49*i*v**2 + 5*i*v + 6*v**3 - 2560*v**2 wrt i?\nAnswer: -8640*v**3 + 1688*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 3:57 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 - (-3 + -2 + 4) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*h - 624 - 1720 = 0, 16 = 4*h. What are the prime factors of d?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 259258698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -48 - (5 + -13 + 2 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/12 - 1\/(-4). Solve r = 4*i - 3*m - 7, -2*i + 8 + 3 = -3*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52412, -104829, -157246, -209663, -262080?\nAnswer: -314497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 80*k**2 - 248*k - 84. Let h be u(83). Put -4, h, -50, 3 in descending order.\nAnswer: 3, h, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -4 (c) 0.5 (d) 2\/15 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35986 + -35983. What is the second biggest value in -4\/7, 20.1, 7, r?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.64 rounded to the nearest integer?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110001330 + 113?\nAnswer: 110002103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11053 - 75?\nAnswer: 10756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/9)\/((-3)\/(-45)). Suppose f = -4*v + 8, 2*f + v - 35 + x = 0. Let n = 46 - f. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 7*a - 2*a)*(200*a - 35*a + 106*a)*(-5*a - a + 3*a).\nAnswer: 6504*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (425*r**2 - 217*r**2 - 226*r**2)*(-3*r - 5*r + 4*r).\nAnswer: 72*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15 + -12)*6\/2. Is 83\/11 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1004*q - 4. Let p(s) = -s + 2. What is c(x) + 3*p(x)?\nAnswer: 1001*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 522\/(0*(-6)\/24 + 2). Suppose 5*l + 704 = 3*i, -3*l = -3*i + 207 + 213. Let z = t + l. Calculate the greatest common divisor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.4 and -0.05590228?\nAnswer: 0.357774592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/((3*sqrt(44))\/sqrt(4)) + -1.\nAnswer: -1 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 181.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32078213?\nAnswer: 19, 1688327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354 divided by -17842.\nAnswer: -177\/8921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 25*n**3\/6 + 15*n**2\/2 + 105*n + 2. What is the derivative of z(y) wrt y?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:44 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-5)\/(-10)*3)*66\/10?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1551, -2688, -3829, -4974, -6123?\n\"Answer: -2*h**2 - 1131*h - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3423 times 114.032\nAnswer: -390331.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -337, -503, -667, -829, -989, -1147?\nAnswer: -1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17d95 (base 16) to base 11\nAnswer: -67435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w**3 - 10*w - 1. Let r(k) = 9*k**3 - 8*k - 2. What is -5*r(t) + 4*v(t)?\nAnswer: -5*t**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 - 4*j**2 + j**2 + j**3 + j - 2*j**4 + 1 + 0*j to the form k*j + l + h*j**3 + r*j**4 + z*j**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -251 and -0.01.\nAnswer: 2.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551*s**3 + 2 + 14 + 534*s**3 + 7 - 23.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/5166 and 85\/600786?\nAnswer: 172425582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101 and 10?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 4\/3 (c) 2 (d) -2\/11 (e) -0.2 (f) -44471\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22921 + -68761\/3. Which is the nearest to -5\/12? (a) 1\/4 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) 0.1 (c) -6\/11 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -3*o - o + 3*j, -3*j = 7*o - 6*o - 51 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 1\/2*i**3 + 2*i**2 + 1\/3*i**4 + 2 - 3*i. Give v(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 221472940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 423\/(-94)*-4?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.184.\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 290.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 399978, 399974, 399970, 399966, 399962?\n\"Answer: -4*z + 399982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 17, p: 2}. What is prob of sequence kp?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 672 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0279 times -20.777\nAnswer: -0.5796783","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 4329 divided by 11559\nAnswer: 1443\/3853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d - 54. What are the prime factors of i(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 + 9 + 3 - 3*x + 4*x as k + g*x and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - 3.06. Let u(o) = 2*o - 5. Let t be u(0). What is the third smallest value in t, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28208 divided by -8\nAnswer: 3526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -7 - (1 - 4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 337877711*i**4 - 547510795 wrt i.\nAnswer: 1351510844*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 5*m. Suppose m = 2*c - 58 - 88. List the prime factors of c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at most -3.555965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + -110?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)*v*v**(1\/2))\/((v*v**(2\/5))\/v)**(25\/4) assuming v is positive.\nAnswer: v**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -2 + -1 - (-1 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 220 - 218. Let u(g) = 4*g + 13. Suppose -4*m = -2*m - 18. Let z(k) = -k - 3. Determine a*u(f) + m*z(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a (base 12) to base 2.\nAnswer: 10110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from gguwrzj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -555710.393623 from 1.\nAnswer: 555711.393623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*t - 2*i, 4*i = -t + 2*i + 15. Let x = 10 - t. Suppose -2 = r - x. Let n(l) = 2*l + 1. Let f(j) = j. Determine r*n(u) + f(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/774 and 13\/30702.\nAnswer: 92106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 2, l: 2, r: 1, h: 1, i: 2}. What is prob of sequence rl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**6*u))\/(u**(-3\/2)\/u))\/(u\/(u**1*u))**(11\/5))**(-38) assuming u is positive.\nAnswer: u**(437\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 283 = 571. Solve a*w = -7*w - 23 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 13*w**3. Suppose -4*l = -16 - 8. Let t(a) = -7*a**3. Determine l*f(r) + 11*t(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3*u + 22*p**3 + 4091*p**2*u + p*u - p - 2434*u + 699 wrt p?\nAnswer: 6*p*u + 132*p + 8182*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 4*i**2 - 6*i - 1. Let x(q) = -2*q - 1. Let c(u) = -2 + 4 - 3*u + 6*u. Let v(s) = 5*c(s) + 8*x(s). Let k be v(7). Calculate n(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007376919 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34.9824 - 35. Round c to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3749 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*t + 69 = -257*t + 3*g, 0 = 4*t + g - 80 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**44*h**(2\/25) assuming h is positive.\nAnswer: h**(1102\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433477911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - -329. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.9826826*0.5.\nAnswer: -3.4913413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*a**2 - 79*a**3 + 501*a**2 + 78*a**3 in the form q*a**3 + l*a + p*a**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*x - 686*x + 159*x as i + y*x and give y.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 2*i - 48, 0 = 144*r - 146*r - 2*i - 12 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-8)*(-280)\/210.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c + 3*c + 2*c + 2*c - 2*c + c + 3*c - 7*c - 3*c + (-3 + 4 + 1)*(5*c - 3*c - c) as w + q*c and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovoodtogetto. Give prob of picking 1 g and 1 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9546\/1032)\/((-2)\/56 - (0 - 0)). Which is bigger: c or -269?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 5*i**3 + 0*i**3)*(2*i - 27*i**2 + 14*i**2 + 12*i**2).\nAnswer: 3*i**5 - 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/36 + 31*z**3\/18 + 5*z**2 - 704*z. Find c such that x(c) = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*v + 3*v + 6000 - 6102 = 3*o, 21 = 12*v - o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1360 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*k = -275*k + 9357945. List the prime factors of k.\nAnswer: 3, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, t: 9, f: 3, a: 5}. What is prob of picking 3 q?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37777, -302156, -1019751, -2417170, -4721021, -8157912, -12954451?\nAnswer: -19337246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*sqrt(2)*-1 + sqrt(2) + -1*sqrt(98) + -1 + -2 + ((sqrt(96) + (sqrt(96) - 2*sqrt(96) - sqrt(96)) + sqrt(6))\/(-4*sqrt(9)\/sqrt(3)))**2.\nAnswer: -7*sqrt(2) + 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 16. Suppose -r*j + 5*m = -0*j - 50, -5*m = 2*j + 1. Let o = 8 - j. Which is greater: 1\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 258*k**2 + 248*k - 1086. Determine x(-87).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -170 + 87*l**4 + 3363*l**2 - 3362*l**2 - 94*l**4 - 17*l**6 wrt l.\nAnswer: -2040*l**3 - 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17096*w + 5715*w + 5733*w + 5709*w.\nAnswer: 61*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 8*g. Suppose -3*x + 16 = 2*r, 0 = -2*x - 3*x - 2*r + 32. Let t be w(x). Let m(q) = q + 3. Calculate m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (127 - 219902\/1204) + 55?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114302 - 801698\/7. Is -227 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 124 in 2\/17, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 + (32 - (2 + 2 - 6)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - -5. Suppose -5*h + 91 = 5*k - 134, -100 = -2*h + 3*k. Calculate the remainder when h is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-130)\/13)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1674\/(-4836))\/(6\/8).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w - 8. Is -3\/22 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001435948 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39385, -39398, -39385, -39334, -39233, -39070, -38833, -38510?\n\"Answer: 2*j**3 + j**2 - 30*j - 39358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212010 - 2?\nAnswer: 212003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27303, 54605, 81909, 109215, 136523, 163833, 191145?\n\"Answer: v**2 + 27299*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 10:10 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, -3\/4, 0.5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 570 + -554. Suppose q + r*q = 2193. What is the smallest common multiple of q and 9?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 1242.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*l - 2. Calculate the common denominator of -30 and -174*l\/(1*-80).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 78622.\nAnswer: -3\/78622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1260 and 1260?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2839)\/(-102) - 28)*(-1 + -5). Suppose -2*r + 17 + 1 = 0. Let m = r + -10. Sort -4, 4, m, p.\nAnswer: -4, m, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:15 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/2 of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 0.5, -1.91, -1\/4, -505, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -80891364800 rounded to the nearest one million?\nAnswer: -80891000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.648 - 1.348. Let o be (1\/6)\/(16\/(-120)). What is the second biggest value in -1\/44, o, -2\/11, k?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 1400.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -82, -249, -414, -577, -738, -897?\n\"Answer: y**2 - 170*y + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-13))\/(16\/(-104)). Factor -340*h**2 - 70*h + 0 + 5 - 104*h**2 - 10*h**l - 146*h**2.\nAnswer: -5*(6*h + 1)*(20*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1031840 * 2.\nAnswer: -2063680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48633 (base 12) to base 14.\nAnswer: 27847","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5292908 is divided by 32875.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 36 = 3*w + 5*c, -5*w = -4*c + 33. List the prime factors of 8 - 4435\/(-9) - 2\/w.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 575*v + 1144*v - 573*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/24? (a) -2\/11 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 7:30 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = 17*d + 624. Round d to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1*sqrt(7)*-4 + 0 + sqrt(847))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**2 - 388*n - 392 = 0.\nAnswer: -1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -3*m - 16, m - 1422 = -4*u - 1464 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -83 + 77 + (6 - (3 - (-9 + 7)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Let k(v) = v**2 - v + 19. Let l be k(g). Solve l = n - 5*h, n - 3*n - 4*h = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s + 3. Let t(g) = 1. Let y(q) = 8*q. Let o(a) = -4*t(a) + y(a). Let b(f) = 4*o(f) + 5*p(f). List the prime factors of b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/330866387 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0) + 6*9\/27. Solve c + t = -0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 2*s + 2*s**2 + (3*s + 0*s - 2*s)*(2*s - 5*s + 2*s) + s**2 + 3*s**2 - 2*s**2 + 5 - 5 - 2*s**2 - 8*s**2 - 10 + 10.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -60. Suppose -i*s + 4*s = -4*v - 50, 3*v = -5*s + 73. Solve 2*n + 17 = -3*l, 2*n - 4*l - s = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 19389 - 2*v**2 - 19389. Let n(z) be the first derivative of 56*z**3\/3 - 2. What is n(y(l))?\nAnswer: 224*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + -21)*-3 - -2. Suppose 5*n + 4 = 3*u + h, 16 = 4*u. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plmpqqfmvplmqvq. Give prob of picking 1 p, 1 q, 1 l, and 1 m.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjhjhjjjjjjjjjj. What is prob of picking 1 j and 2 h?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 250634 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1128429\/61 and -18500 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 411, 0.01, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -0.5, -232?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 53 = u + 58, 5*p + 30 = u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-2*sqrt(320) - sqrt(320))*-1)**2.\nAnswer: 38720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 592283314 a multiple of 1490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8768320 a multiple of 2120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -54. Let u(t) = -4*t**2 + 5*t - 4. Let n(a) = a**2 - a. Calculate l*u(v) - 3*n(v).\nAnswer: v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 75*l**2 + l. Suppose 0 = 3*x + y - 6, -3*x - 2*x - 3*y = -14. List the prime factors of d(x).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 37281*y**3 - 1782576*y**2 = 0. Calculate y.\nAnswer: 0, 48, 12379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2*o**2 - o**2 + (-2 - 2*o + 2)*(-3*o - 11*o + 3*o).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*((-273)\/(-6))\/(-13).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/8 - 21*a**3\/8 + 27*a**2\/4 - 15*a\/2 + 3.\nAnswer: 3*(a - 2)**3*(a - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9608.8, 1, 2.7 in descending order.\nAnswer: 9608.8, 2.7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2050903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -3. Suppose -9*o + a*o - 24 = 0. Let q(h) = 4*h - 17. Let g(w) = w**2 - 7*w - 1. Let m be g(3). Let s(j) = -2*j + 8. Give m*s(r) + o*q(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -25948125 divided by -21?\nAnswer: 1235625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -333*p + 4890. Calculate the remainder when u(9) is divided by 944.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -604 + 629. What is the greatest common divisor of 1525 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.86*-113\nAnswer: 210.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 3*r**2 - 10*r + 3. Let u be v(5). Put 0.04, 2, -14, u in ascending order.\nAnswer: -14, 0.04, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.08 (b) 25\/7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*v + 79*v + 97*v + 3 to the form r*v + q and give r.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10624.9 to the nearest one hundred.\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 10:22 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/11 - 186*k**4\/11 - 6*k**3\/11 + 562*k**2\/11 - 372*k\/11 = 0. What is k?\nAnswer: -2, 0, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-1325)\/(-424))\/(5\/4). Let g(x) be the first derivative of 3*x**3 - 9*x**2\/2 + 5*x - 17. Let m(r) = 5*r**2 - 5*r + 3. Give t*m(p) + 3*g(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/161168 and 103\/57560.\nAnswer: 805840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**5 + k**3 - 1. Let x(r) = 7*r**5 - 2*r**4 - 8*r**3 + 2*r**2 + r + 8. Let n(m) = 24*g(m) + 3*x(m). Factor n(v).\nAnswer: -3*v*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - (-5 - (3 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(36)*-3).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.327 - -0.327. What is the second biggest value in 55, -1.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/9*(7\/2)\/(2240\/4800).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 36 = -o + 4*z, 2*o - 5*z = 76. Suppose -o*r + 1695 = -23*r. What are the prime factors of r?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 31 + 229. Let m = 87272 + -87239. Calculate the remainder when d is divided by m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from {u: 1, f: 2, x: 1, c: 6, z: 5, b: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 949*v**4\/12 + 5*v**3\/2 + 3363*v. What is the second derivative of w(c) wrt c?\nAnswer: 1898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:01 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2795*t. Let r(s) = -3*s**2. What is r(q(b))?\nAnswer: -23436075*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -263 - -179. Let q = g - -136. Suppose 9*m - q = 8*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472 + 472 + 14*d + 3*d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 6. Let d(x) = 5*x - 17. Suppose 0 = -4*n + 3*u - 50, 33 - 17 = -2*n - 3*u. Let i(r) = r - 3. Let j(z) = n*i(z) + 2*d(z). Calculate j(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-four fifths of a microgram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3928, -3659, -3388, -3115, -2840, -2563, -2284?\n\"Answer: c**2 + 266*c - 4195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 6*h**2 + 5*h + 1. Suppose 288 = 1287*r - 1359*r. Calculate w(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -12520\/15899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*q = -108*q + 90. What is the smallest common multiple of 40 and q?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -34*i**2 - 33*i**2 - 32*i**2 - 2*i + 107*i**2. Let l(r) be the third derivative of r**4\/6 - 3*r**2. Give k(l(y)).\nAnswer: 128*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51687*t + 54298*t + 70497 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 12*p - 15. Give h(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4*51\/12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 9*a + 13. Let i be y(10). Let h = i + -4. Are -3\/7 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 6*m - 2*m**2 - 2*m + m**3 - 11*m**3 to the form x*m + r*m**3 + z*m**2 + t and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 h when four letters picked without replacement from hslhshhhhhhhsv?\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, 65, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvv when three letters picked without replacement from nvpjpjpnvpvpj?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336084 and 24006?\nAnswer: 336084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, -2, 3\/25, -6266, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 106 = -2*l, -3*l + 4*p = l - 156. Let b be 126\/10 + (-2)\/(-5). Suppose -n + l = -2*o, -n - b = -2*n - 4*o. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2336 divide 219124473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1820123.000048 - 1820093. Let n = w + -30. What is n rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28579282*d**3 + 3*d + 2546298 wrt d.\nAnswer: 171475692*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 2, -3, 1, -1, -679.\nAnswer: -679, -3, -1, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -93. Let a = p - -51. Solve 2*r + 2*z - 24 = -8, a*r + 4*z = 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*y - 21, -y + 5*f + 1 = -4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9327*p**3*x - 3*p**3 - 1192*p**2 with respect to x.\nAnswer: -9327*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1020, -14 in decreasing order.\nAnswer: 2\/9, -14, -1020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22668.\nAnswer: 2, 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721?\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((22\/15)\/(-2))\/((-582)\/2910). Let z(x) be the first derivative of -g*x**3 + 5 + 1\/2*x**2 + 0*x. What is z(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (260\/195)\/(140\/(-155295)*-17).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 - -91. Let f be 6\/(-27) + 630\/(-81). Is 12\/f + x\/(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16753059 * 0.02.\nAnswer: -335061.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 148 = -3*o. Suppose 3*u - 8 = a, -21*a - u = -19*a - 12. Suppose -a*h - 91 = -135. Calculate the highest common factor of o and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2 = -2*p, 4*m + 6*p - 3*p + 13 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 4:42 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10521 - -150?\nAnswer: 10671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, -4, 7, -7, 4 in increasing order.\nAnswer: -7, -4, -1, 4, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -779901.077 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2494184 and 1408.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - ((-2)\/(-11) - ((-272052)\/(-363))\/(-36)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/276?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1) + (-105 - -115) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8 = 6*v. Suppose 0*y - v*f + 12 = y, 0 = -y + f. Let q be (-6)\/y*-2 + 0. Solve 2*p + 5*b + 6 = 3, 3*b + q = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/18)\/k**22 assuming k is positive.\nAnswer: k**(-397\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, k: 5, o: 5}. What is prob of picking 3 o and 1 k?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 11*j + 14. Let w(b) = b**3 + 6*b**2 - 10*b - 16. Let y be w(j). Solve 0 = 7*x - 2*x + y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 p, and 1 x when three letters picked without replacement from mgvgzmpx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t**5 - 35*t + 35*t - t + t - 2*t**5 + (2*t**2 + 3 - 3)*(-2*t - t**3 + 2*t) + 0*t**4 + 0*t**4 + t**5 - 4*t**5 + 6*t**5 - 3*t**5.\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41895 and 25927875.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u - 4*u)*(112*u**2 + 4*u - 207*u**2 + 115*u**2).\nAnswer: -100*u**3 - 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v**4 + 39813*v**3 + v + 234664 wrt v?\nAnswer: 12*v**3 + 119439*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 14*p**2 + 2*p. Let x(d) = 14*d**2 + 3*d + 1. Calculate 2*x(a) - 3*y(a).\nAnswer: -14*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttcjfkfkkjtfjjkffftt. Give prob of picking 1 f and 1 j.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 401810 and -132283.8.\nAnswer: 269526.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -174*z**2 - 1389*z + 78. Give x(-8).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 2*p + 0*p**4 + 4*p**4 + 0*p**4 in the form g*p**3 + c + w*p**4 + v*p + x*p**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -140 + 6*y - 3*y + 136. Give p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**4*u + 117*c**3*u**3 - 817*u**3 + 2*u wrt c?\nAnswer: -12*c**3*u + 351*c**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 641 - 606. What is the remainder when 115 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11143, 22285, 33427, 44569, 55711, 66853?\nAnswer: 77995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bddbcdddfddcfddf. Give prob of sequence bfdd.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-17)*s))\/s*s**(-22\/3))\/(s*s**12*s**(1\/27)) assuming s is positive.\nAnswer: s**(-145\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1000011000100101 (base 2) to base 12\nAnswer: 17a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 20*k**2 - 2*k + 1. Suppose 18*l - 7*l = 0. Let c(s) = -5*s + 1. Let f be c(l). What is m(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14182 - -26189. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7242189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 24. Determine h(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 + 3*v**3 + v**3 + (1 - 1 - 2*v**2)*(-4*v + 2*v + v))*(2 - 3 - 1 + 5 - 3 - 4 + (4 - 2 - 3)*(-1 + 0 - 1) + 1 - 2 + 3 - 1 + 1 - 1).\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -31, 1\/6, 3 in descending order.\nAnswer: 3, 1\/6, -0.5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + -93. What is the smallest common multiple of d and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyiyyiyiyiyyyyyyyyyi. Give prob of sequence yiyy.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(39)\/sqrt(3) - sqrt(13))*-4)**2 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.747349l in millilitres?\nAnswer: 6747.349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59316112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 5:50 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735578719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*r = 359*r - 23436. Let t = r - 1139. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiy when three letters picked without replacement from {x: 4, i: 2, y: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxic when four letters picked without replacement from xxccxxxicjix.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + 13*p**2 + 7*p - 26. What is the remainder when 2648 is divided by r(6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 120.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/3))**44\/(b\/b**13)**(-11\/3) assuming b is positive.\nAnswer: b**(-308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-36)\/4)*2271. Suppose 3*k - 5*n - 165 = 296, 0 = -5*k - 3*n + u. Let q = 105 - k. Round q to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12444*o**5 + 4*o**3 + 5*o**2 - 344*o + 7?\nAnswer: 746640*o**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -58 and -838.28.\nAnswer: -896.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 13 = 11. Let h be 9\/4 + 4\/(-16). Suppose -m - h*l = -15, 2*m - 54 = -0*m + 2*l. Calculate the remainder when m is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 4, s: 5, u: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3410?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c78 - -14?\nAnswer: c8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*h - 6*h + 140, -2*t + 88 = -4*h. Suppose 26 = 4*z - t. Suppose 43*k = 3*k + 480. Calculate the greatest common factor of z and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2636 + 10539\/4. Put -4\/9, i, 2\/5, 0.052 in descending order.\nAnswer: 2\/5, 0.052, -4\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602391061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 17. Let o be s(6). Let v = o + 9. Does 20 divide (21\/(-2))\/((-10)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + 10\/(180\/177) + (-6)\/4. Determine j, given that 2\/3*j**4 + 0 + c*j**3 - 4\/3*j - 2\/3*j**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 187*x**4\/12 - 5*x**2 + 29. Let a(r) = 3*r**2. What is a(q(y))?\nAnswer: 419628*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4966 (b) 2\/29 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-3\/10) assuming w is positive.\nAnswer: w**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653541.\nAnswer: 3, 7, 31121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yymyvyyrrr. What is prob of picking 1 m, 1 y, and 2 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 7*q**2 + 8*q + 9. Let m be f(5). Let r = 0.1 - 0. Which is the closest to r? (a) m (b) -0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -741209754.9 - -741209454.9000127. Let v = u - -300. Round v to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 94*o**3 - 2*o.\nAnswer: -94*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 133151533?\nAnswer: 133151543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, -26, -72, -134, -218, -330?\n\"Answer: -j**3 + j**2 - 32*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -10. Let x(d) be the third derivative of d**5\/20 - d**4\/6 + d**3\/3 - d**2. Is x(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*c - 133 - 82 + 53.\nAnswer: -375*c - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -136e335?\nAnswer: 136e328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*(-3)\/(21\/(-28)*4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 8*s = 294. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35248452563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/2)\/(306\/(-12) - -25)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2. Let r(z) be the second derivative of -z**3\/6 + z. Give r(b(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4675981ug in tonnes?\nAnswer: 0.0000000000004675981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11, 5, -1\/8, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -51)*(-494 + 4). Let s = 1496997\/65 - y. Find the common denominator of s and -43\/11.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9372 - 9372 - 2174*z as w + b*z and give b.\nAnswer: -2174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120023553 - -21?\nAnswer: -120023532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - 2*f**4 + 3*f**4)*(-f - f + 3*f).\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 - 44*n - 1. Suppose 0 = 12*o + 100 + 80. Give z(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015911 rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 194964 divided by 2954?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**8\/240 + k**4\/12 - 2*k**3 - 14. Let t(y) be the third derivative of z(y). What is the first derivative of t(o) wrt o?\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1)\/(-8)) + 3. Sort u, 0, -2 in decreasing order.\nAnswer: 0, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 4093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.24, 1\/268, 5, -5 in ascending order.\nAnswer: -5, -0.24, 1\/268, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 5*o**2 - 5*o + 4. Let p = -20 + 28. Let q(b) = -b**3 + 7*b**2 + 8*b - 4. Let t be q(p). Determine m(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 4*n**2 + n. Let c = -1 + -1. List the prime factors of t(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*x = -15, 0*g - 3*x = -g + 13. Suppose -221*l = -108*l - 2825. What is the remainder when -2 - (-91 + (-2)\/g) is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/3)*n\/(n\/(n**23*n)))\/(n**(-2\/3)\/(n*(n\/(n*n**(2\/23)))\/n*n)) assuming n is positive.\nAnswer: n**(619\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from iwwssssyiiisiiww.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 34410800 to the nearest one million.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 92 and 203.13.\nAnswer: 295.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*a - 1 - 6*a + a + 3*a + (-1 - 4 + 3)*(-5*a + 2*a + a) + (2*a + 3*a - 3*a)*(3 + 4 + 3).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-24) - (-22)\/12. Suppose 442 = 2*s + a*y, -5*s + 5*y - 3*y + 1119 = 0. Let f = s - 153. What is f rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-2\/35)*l*l\/(((l*l**(-1)\/l)\/l)\/l*l)*(l\/l**(-1\/10))\/l*l*(l\/(l*l**(-11)*l*l))\/l*l assuming l is positive.\nAnswer: l**(1053\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 23*g. Let x(d) be the first derivative of -20 + 1\/3*d**3 - 20*d + 0*d**2. Let b(m) be the first derivative of x(m). Give q(b(r)).\nAnswer: 46*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36189?\nAnswer: 3, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 61445*p + 16504719. Give q(271).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-22)*20\/((-1200)\/(-165))\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1130*p**2 + 21*p. Let k(v) = 377*v**2 - 8*v. Calculate -3*i(u) - 8*k(u).\nAnswer: 374*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220100212 (base 3) to base 7.\nAnswer: -214112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 508988681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9693146?\nAnswer: 2, 43, 269, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449502 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -15 - (-134 - -126)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m**2 - 22*m + 10. Let h(a) = 7*a**2 - 18*a + 9. Let x(q) = 6*b(q) - 7*h(q). Determine x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 - -89.41. Let o = f + 0.19. Let x = 1.7 - o. Is x at most 1.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37778*c**4*q**3 + c**3*q**2 - 9*c**2*q**3 - 32*c*q**3 - 2*c*q - 3*q**3 - 21*q wrt c.\nAnswer: -906672*c*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 - 2*m**2 + 2*m + 7. Let f(i) = -12*i**3 - 9*i**2 + 9*i + 29. Calculate 2*f(z) - 9*w(z).\nAnswer: 3*z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 31) + -1 + 10 + (-31 - -30)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425164311?\nAnswer: 3, 11, 13, 19, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + 126\/10. Suppose -32 = -a - 3*l + 30, l = -3*a + 194. What is the greatest common divisor of v and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10*p - 17. Let d be m(5). What is the greatest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**2 + l**2 + 4*l**2)*(63 - 139 + 46) to q*l**2 + t + a*l and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 3 - 10*y + 18*y. Let d(l) = 575*l + 569*l - 1143*l. Calculate -5*d(p) + f(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5 + 2*l + l + 2*l**2 - l**2 + 3*l**2. Let s(w) = 5*w**2 + 4*w - 4. Let q(o) = 3*c(o) - 2*s(o). What are the prime factors of q(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 x when four letters picked without replacement from pmotomxmxooomx?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g*m**3 + 2*g*m**2 + 341*m**3 - 1 with respect to g.\nAnswer: 4*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 18*o**2 - 21*o + 152. Is h(35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -2 - (-1 - 24\/(-6)). Put -1, 0, c, 1 in decreasing order.\nAnswer: 1, 0, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79557\/13960 - -3\/2792. Calculate the common denominator of m and -65\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5748 - -6886. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 513*p + 559*p - 1079*p. Let z(t) = 52*t**2. What is c(z(f))?\nAnswer: -364*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.2, 218, 1 in decreasing order.\nAnswer: 218, 1, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1770, -2, 2, 12, -3 in ascending order.\nAnswer: -3, -2, 2, 3, 12, 1770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*l + 16, 5*b - 16 = -4*l - 0*l. Suppose -w + b*w = -67. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128 by 64.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y. Suppose 2*f - 4 = 2*c, 2*c = -2*f + 2 + 2. Suppose -f*a - 4*o + 30 = y, 11 = -a + 2*a + o. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 5847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 1340174 in descending order.\nAnswer: 1340174, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -136, -247, -358?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2 + 6. What is the third derivative of 8*f**3 - 2*f**l - 13*f**3 + 8*f**2 wrt f?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8947 + -43989\nAnswer: -35042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 4*f = 59, 44*f - 45*f + 0*f - 13 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 331892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12.24 * -0.8\nAnswer: -9.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5808708929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 14) in base 3?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 49 times 758909.2\nAnswer: 37186550.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3919 is divided by 426?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/3, 17, -2, 0.05, 3878?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2 - 58*x - 42. Calculate h(5).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 3:18 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4275 = t - 4272, 3*v = 14*t + 39 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwgl when four letters picked without replacement from {i: 6, w: 2, l: 2, q: 4, g: 2, a: 1}.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 0*z = 152. Calculate the highest common divisor of 57 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a860 (base 12) to base 11\nAnswer: -129a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44470?\nAnswer: 2, 5, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*i - 149*i + 186 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3092, 6032, 8972?\n\"Answer: 2940*z + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 540*y - 545.\nAnswer: 5*(y - 1)*(y + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 11580?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:42 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djjjjjdjjjjdjjjjdjj. What is prob of sequence jdjd?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:23 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(-2) - (264\/(-136) + 25).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 + 3117*r - 18703\/6.\nAnswer: (r - 1)*(r + 18703)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1305*p - 1305*p + 13*p**2. Let a(j) = 2*j. Determine a(d(z)).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106*q*y**2 - 6*q*y - 2*q - 232*y**2 + 2*y - 2 wrt q.\nAnswer: -106*y**2 - 6*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*i - 29, i - 2*i - 3*v = -17. Suppose -2 - 13 = -i*a. Suppose a*r - 138 = 72. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 210144 and 1.8.\nAnswer: 210145.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*k = 25, 4*k = -2*q + 7 + 3. Suppose 3*s = q*h - 4 + 111, h = -s - 23. Let g = h + 36. What is the highest common divisor of g and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4265 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 13517.16ml?\nAnswer: 13.51716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 4*l**4 - l**3)*(-3 + 7 - 3) - 4*l**4 + 4*l**4 + l**4.\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 + 26*h + 138 - 71 in the form t + b*h and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 307 + -2?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17706, 27867, 38028, 48189, 58350, 68511?\nAnswer: 78672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7749076 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*j + 22. Let x be 4 + (0 - (0 + j)). Suppose x*p + 5*a = 131, 2*p + 0*a - 5*a - 54 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - (-2 - 10 - -14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 16*r**2 - 4 + 5*r**2 to the form f + u*r + s*r**2 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q + 3*q + 0*q - 2 - 2*q + 2 + 0*q + 2*q - q + (-2 + 3 + 0)*(2*q - 5*q + q) + 2*q - 5 + 5 - q - q + 0*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1347.25 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320329*u**3*x**2 + u**2*x + 54456*u*x**2 - 6*x**2 - 2*x wrt u.\nAnswer: 1921974*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 15 = -2*g. Suppose -1 = k, 3*k - 4*k = -3*n + 1321. Let l(t) = t**3 - n + 433 - t - 3*t - 4*t**2. What is l(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 62*z + 86*z - 4*z.\nAnswer: 144*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -298758, -298757, -298754, -298749, -298742, -298733?\n\"Answer: m**2 - 2*m - 298757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/7748004 and -29\/60.\nAnswer: 38740020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -661 - 510?\nAnswer: -1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-6)*j)**38\/(j**(-6)\/j*(j\/((j\/((j\/j**(-9\/4))\/j*j))\/j*j*j)*j)\/j))**(-1\/18) assuming j is positive.\nAnswer: j**(589\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168424 and 1284802?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(-2)\/6*3. Let w = -5 + b. Let u = 4 + w. Solve -u*i + 0*j - 20 = -j, -j - 10 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s. Let f(y) = -6*y - 4*y - 6*y + 3*y. What is z(f(p))?\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-30))\/((-10)\/70))\/((-8)\/20).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2036689*a + 3332237 wrt a.\nAnswer: -2036689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21307644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*x - 191*x - 205*x + 170*x.\nAnswer: -305*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 39 + 20 = 0. Which is the nearest to 35? (a) 0 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 11:41 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 49 = 39 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-36)\/162 + 2567\/9?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 2:35 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 40. Suppose 4*j = 5*w + 8, 2*j - 6*w = -2*w + k. Suppose 4*v = v + 2*u + 7, -2*v + 2*u + j = 0. Calculate the least common multiple of v and 19.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112202332 (base 4) to base 12.\nAnswer: -4553a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.37836 meters in millimeters?\nAnswer: 34378.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/6))**(6\/25)\/(h**(3\/7)\/(h*h*h**(-1))) assuming h is positive.\nAnswer: h**(93\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/((5\/(-5))\/(-1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 13. Solve -c - p*c - 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71722401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13827 = 2*r + 13411. Calculate the greatest common divisor of 80 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzccczccx. What is prob of sequence zcxz?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.9, 14, -119?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4006, 16267, 28528?\n\"Answer: 12261*a - 8255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 34*m + 48 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**4\/12 + 5*g**3\/6 + g**2 - g. Give q(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.955 + -5.5277638467?\nAnswer: -3.5727638467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 32*y + 10*y = 160, -112*y - 29 = -5*m - 110*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) 1 (c) 14\/55 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10c + 1b?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = -2*o + 6, 3*h = -3*o + 3. Put 0, o, -5, 2 in increasing order.\nAnswer: -5, o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1728 + -367. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*p - 94*p + 896. Calculate the highest common factor of 288 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/12)\/((-2)\/(-8)). Solve 0 = -2*b + h*s + 1, -2*s + 5 - 18 = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1362.89 - 1384. Let f = 0.89 - x. Do f and -1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59846 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*b - 28*b + 6*b)*(-15848 + b**2 + 15848 + 59*b) as g*b**3 + v + r*b + p*b**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -12. Suppose k = 3*c + 4*x, -c - 1 = -2*x + 1. What is the closest to -1 in c, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 4*y**2 + 2*y + 3*y**2 + 9. Calculate j(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 5*z)*(-3*z + 4*z - 5*z) + 12*z**2 + 39 - 39)*(-4 + 6 + 5).\nAnswer: -56*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-370)\/152 + (-100)\/80. Is s greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-10) - 16\/5. Is (-40010)\/(-45) - k\/(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**3 + 190*q**2 - 103*q + 121. Determine k(47).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4103 divide 186743170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (-4 - -1 - -6). Suppose -404 + m = -3*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1265357062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -285.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 4. Let d be (9\/18)\/(1\/10). Suppose 5*b + 5*g - 1 = 14, -d*g = b - 3. Let h be (b\/3)\/((-2)\/(-6)). Calculate v(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/1 + (-2)\/(-1). Let k = b - -1. What is the third derivative of -n**3 + n**3 + 2*n**6 + 2*n**k wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, -8, -1, 12, 31?\n\"Answer: 3*u**2 - 8*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 5*h**2 - h - 2. Let t(o) = o**2 - 7*o + 3. Let k be t(7). Let r be q(k). What is r rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2 + 7 - 4)*(-34*v + 501 - 501).\nAnswer: 68*v**2 - 34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/85 + 77\/340. Is g equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313469?\nAnswer: 13, 24113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 145024337509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.98 - -0.02. Let y = r + -3.08. What is y rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.3, -2\/13, 0.0079?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 minus 71?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + (-2 - (0 + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 - 84. Calculate the remainder when 1*7 + (y\/3 - 3) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/16*96192\/7014?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6288)*-4*360\/(-160)*32\/(-24)?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, -152, -0.5, 3, -0.001 in increasing order.\nAnswer: -152, -0.5, -0.4, -0.001, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -66b (base 16) to base 12\nAnswer: -b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/35*14\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66210977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 567698 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 81. Calculate the greatest common factor of 15 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -2\/39, -14.4, -0.097?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2. Let i(g) = g**3. Let a be (8\/10)\/((-2)\/(-5)). Let v(q) = -a*q**2 + 2*q**3 - 9*q**3 - 2*q + 0*q**2 - 3*q**3. What is h*v(l) - 8*i(l)?\nAnswer: 2*l**3 + 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -283 + 317. Calculate the common denominator of 50\/3 - (n\/(-4))\/(-17) and -97\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) 2.5 (c) 24.4 (d) 0.034\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1 (c) -5 (d) -0.6 (e) -0.5 (f) 28.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**8\/168 + j**4\/12 - j**2\/2 - 2*j. Let x(n) be the first derivative of v(n). What is the second derivative of x(p) wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397, -1565, -3517, -6247, -9749?\nAnswer: -14017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 142\/(-6) + (-42)\/126. What is the units digit of (1 - (-10)\/(-8))\/(o\/53664)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 70*b + 69.\nAnswer: (b + 1)*(b + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6844.\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:38 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + s. Let o be z(3). Let j = o + 5. Let y be ((-3)\/j)\/(3\/3). Solve -5*l = -2*l + v - 13, 0 = -y*l + 3*v + 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 106)*(2 - 1). Let m = 18 - 44. Let r = g - m. What is the greatest common factor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5696006755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 2*v**2 + 3*v - 5. List the prime factors of m(4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.074 + -0.074. Let g = 28 - f. Sort 2\/5, g, 5, 1\/3.\nAnswer: g, 1\/3, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 6*a**2 + 6*a + 3. Suppose -2*x - 21 = -4*s - x, 5*x = -5. Let k be t(s). Let j = k + -3. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/14)\/((-150)\/(-35)). Let g(c) be the third derivative of -k*c**5 - 1\/24*c**4 + 0 - 1\/60*c**6 + 0*c**3 + 0*c - 2*c**2. Solve g(w) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(1\/4)))\/g**(2\/5) assuming g is positive.\nAnswer: g**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*t + 2*p + 15, -5*t = -2*p - 26. Suppose t*m + 46 = 2*j, -4*m + 2*m - 4*j = 18. Let q = m + 25. What is the smallest common multiple of 4 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 + s**4 - s**4)*(-3*s + 2*s - 3*s) + 19*s**5 - 20*s**5 - 2 - 2*s - 2*s.\nAnswer: -5*s**5 - 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-6))*u*u**(3\/8)\/u*u)\/(u**(-5)*u**(-3\/4)*u*u)*(u\/((u\/(u\/u**1))\/u))**(1\/21)*(u\/u**(2\/5))**8 assuming u is positive.\nAnswer: u**(3337\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260535752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2659 (c) -10 (d) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 598, 1496, 2764, 4408?\nAnswer: 6434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 15. Let w be (-6 - -1)\/(-5) - -2. Solve o*c = -w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*m + 0 + (1 + 0 + 1)*(3*m - 3*m + 2*m) + 25*m - 14*m + 2 - 16*m to p + h*m and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 179547 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**3 - 2080*w**2 - 10500*w = 0 for w.\nAnswer: -5, 0, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*b**6*j - 3649*b**5*j**2 - 102*b**2*j**2 + 139*j**2 wrt b?\nAnswer: 6120*b**3*j - 218940*b**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*a - 71*a + 453513 = 190534. List the prime factors of a.\nAnswer: 13841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88.9999907 + -89. What is i rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187339277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 = -7*u. Suppose 223 = 5*d - d - 3*v, -u*d - v = -119. Suppose -2*h + 0*h + d = 0. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*m = -18, 5*x = m - 5 + 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*s + 423*s + 428*s - 187*s - 1098*s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 67. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88739586 a multiple of 1141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, 16265341, -3 in decreasing order.\nAnswer: 16265341, 4, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10488 and 1288?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -25. Suppose 4*u + a = 9, -3*u + 4*a = u + x. What is the tens digit of (-3)\/9*-1*123*u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:11 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-10)\/(-8))\/(-5))\/((-51)\/(-4658)) and ((-1)\/(-5))\/(6*48\/(-6040)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80 - (68 + -94)) + 202?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -29*o. Suppose -33 = 2*r + 23. Let b(m) = -4*m. Let s(y) = r*b(y) + 4*n(y). Let k(q) be the second derivative of -q**3\/6 - 3*q. What is k(s(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {x: 2, m: 1, l: 3, e: 4, c: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/2)\/((-18)\/(-284016)). Suppose -2*u = -3*u - v. Let k be -6*1 - -2 - u. What is k rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**5\/180 - s**4\/72 + 6*s**2. Let k(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1907 divided by -1.\nAnswer: -1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 24\/53, 2977, 0.2, 4, -0.5 in decreasing order.\nAnswer: 2977, 4, 24\/53, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 505377 and 2486809.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/73500 and 11\/35000?\nAnswer: 735000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 + 5260*r\/3 + 6916900\/3.\nAnswer: (r + 2630)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235164 divided by -6.\nAnswer: -39194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1999410835?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 14*l - 46. Is w(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 6*h + 7. Let w(y) = -2*y**2 + 5*y - 6. Let t(q) = 3*p(q) + 4*w(q). Let g(o) = 2*o**2 + 2*o - 4. Determine -2*g(d) + 3*t(d).\nAnswer: -d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1441 = 2*v + 4*w - 3363, -11980 = -5*v + 5*w. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -3.5 (c) 240 (d) -0.101 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19837 - 37030 - 4*t**2 + 17193.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 24*j**2. Let p(g) = 3*g - 14. Calculate y(p(n)).\nAnswer: 216*n**2 - 2016*n + 4704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19731 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.059 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10086371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(95)*-5 - sqrt(95))*5)\/(sqrt(25)\/(sqrt(50)\/(sqrt(70)\/sqrt(7)))).\nAnswer: -55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 302 + 2163. Is a a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*p + 5 = -6, 0 = 5*l - 5*p + 15 + 25 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53640 and 11920?\nAnswer: 107280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + 4. Let f(b) = 3*b - 4. Let o(j) = 6*f(j) + 7*i(j). Let t be o(-3). Suppose -t = -2*y + 1. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-4)\/(-26) - (-608)\/(-23218)). Is -0.128 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 552, 988, 1544, 2220, 3016?\nAnswer: 3932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1626 and -27\/16.\nAnswer: 13008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 42*x**2 - 165*x - 492. Determine j(-38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30715437 and 948?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, -1\/45, -3, 1, 0.4.\nAnswer: -3, -5\/7, -1\/45, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*r - 5*o - 175, -4*r + 2*o + 342 = 0. Suppose r = 3*i + x - 63, -i = -3*x - 56. Let q = -13 + i. Is q a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -29*w**2 + 134*w + 130. Let k(i) = 11*i**2 - 48*i - 44. Let t(v) = 3*j(v) + 8*k(v). Calculate t(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**4\/3 - 86*v**3\/3 + 154*v**2 - 674*v\/3 + 296\/3 = 0.\nAnswer: 1, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 + 4*n + 352. Does 9 divide s(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i + 20. Let x(v) = -6*v**3 + 5*v**2 + v - 4. Let f(j) = 7*j**3 - 6*j**2 - j + 5. Determine i*f(p) - 5*x(p).\nAnswer: 2*p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -16. Let c(w) = 5*w. Let z(m) = 9*m. What is n*c(r) - 6*z(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i*i**(-3)*i)\/i*i))**(-2\/9) assuming i is positive.\nAnswer: i**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (15 + -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 5*l**2 + 3*l**2 + 0*l**3 + 3 - 4*l + 7*l**2. Suppose -2*j = -3*j - 4*y + 10, 0 = 4*j - 5*y + 44. What is i(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/15 and 75\/46.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2 + (0 - 5 + 3)*(5 - 3 - 1) - 1 + 6 - 1)*(-24*f - 96*f - 165*f)*(0*f**3 + f**3 - 2*f**3) to x*f + k*f**4 + w*f**3 + n + g*f**2 and give k.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**4\/3 + 2*u**3\/3 + 13*u**2. Let m be l(8). Differentiate -m + 69 - 3*v**2 - 15*v**4 + 3*v**2 with respect to v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 19 - 19 + 4 - 4 + j - j - j + j + (2 - 1 + 1)*(0 + 2*j + 0).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/10)\/(2\/325). Let u = 157 + -589. Let x = -380 - u. What is the highest common factor of g and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -286 - 18b8f?\nAnswer: -18e15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1*c)\/(c\/c**(-12)) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/18 + 174*h**3 - 204363*h**2 + 56*h + 5. Factor v(q).\nAnswer: -2*(q - 783)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 282867436 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 32*d**2 + 47*d**2 - 99*d**2 + 19*d**2. Let t(r) = -2*r**2 - 16*r**2 - 33*r**2. Give v(t(y)).\nAnswer: -2601*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -4)\/(2\/8). Suppose z - 3*o - 30 = 0, -5*z - v*o + 44 + 11 = 0. Calculate the remainder when 1\/((-168)\/172 + 1) is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99 - (43 - 85)) + (-10 - (2 + 0)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*((0 + sqrt(13) + -3 - -4*sqrt(13)*2) + (-1*sqrt(39)\/sqrt(3) + 0)*-1))**2.\nAnswer: -60*sqrt(13) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 12. Suppose -v = n*i + 24, -5*i + 0*v = -5*v. Let l(y) = -y - 11. Calculate l(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-72)\/(-180)*1\/(-1))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401310654?\nAnswer: 2, 3, 3943, 16963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from uqimmqrwmiwm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/4, 10.6.\nAnswer: 1\/4, 1, 10.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*-4*2)**2*-6 - (-2*sqrt(1088)*2*-2)**2.\nAnswer: -487424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*w - 1 + 6, i + 2*w = -1. Let s be (i\/5)\/((-4)\/140). Suppose -c - 2*c = -s. Calculate the smallest common multiple of 6 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-6)\/4)*10. Suppose 13 = 3*q - f. Solve -q*m - 15 = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*i - 473 = -6119 - 548 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/11)\/c*(c\/c**1)\/c*(c\/((c\/(c**1*c))\/c))**(-8\/5) assuming c is positive.\nAnswer: c**(-364\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*-3*sqrt(5).\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**5\/60 + 89*y**2. Let m(t) = 4*t**2 - 2*t**2 - 27*t**2. Give m(c(i)).\nAnswer: -25*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89539909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 12*q**2 + 4. Let l(w) = -5*w**3 - 57*w**2 + w + 22. Determine -11*g(y) + 2*l(y).\nAnswer: y**3 + 18*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*o - 14*c + 9*c, -8*o = 4*c - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20383?\nAnswer: 11, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 0*s**5 - 7\/12*s**4 + 0 - 1\/15*s**6 + 0*s**3 + 0*s**2 - 3*s. What is the third derivative of w(h) wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 + 0)*(2*n**5 + 0*n**5 - 4*n**5 + (-2*n**2 + n**2 + 0*n**2)*(2*n**3 - n**3 - 2*n**3)).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 2098, 0, -1 in decreasing order.\nAnswer: 2098, 0, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - (sqrt(7) + 0 + -3))**2)*3 + sqrt(7) + 1*sqrt(7) + sqrt(7) + -3 + 2.\nAnswer: 6*sqrt(7) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - l**4 + 2*l**4 + l + l**3 + 0*l**3 + 25*l**2 + 0*l**4 - 20*l**2 in the form d*l**2 + j + b*l + f*l**4 + h*l**3 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 + 18*j + 22. Determine h(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j - 92. Give h(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8573 (base 14) in base 10?\nAnswer: 23033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145 + 78. What is the remainder when d is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c - 3*c - 6*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29933.82 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 10*o - 20 = 0. Let l be 1\/5 - (-14)\/o. Suppose -g + 20 = l*g. Sort 0, g, 6, -2.\nAnswer: -2, 0, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 at most 76945\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 7*q. Suppose 0 = -b - 3*b + 16. Let y(k) = k**2 - 4*k. Let u(w) = b*j(w) + 7*y(w). Let m(z) = -36*z - z**2 + 36*z. Give u(m(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 10564 - 3172. Suppose z + m - 336 = 0, -4*m + x - 170 = 5*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 3*z, 4*f + 2*z + 1 = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - n + 2. Let y(k) = -k**2 - k - 5. Let u be y(-4). Let x = 18 + u. Let m be p(x). Solve m*d + 8 = 4*v, 4*v - 11 = -5*d - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*r**3 + 2*r**3 + 20*r**3 + 4*r**2 - 5*r**2 + 361*r**4 to d*r + c*r**2 + n*r**4 + w + k*r**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(84\/35 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -159*z**3\/7 + 312*z**2\/7 - 21*z - 6\/7.\nAnswer: -3*(z - 1)**2*(53*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. What is the units digit of -2*g\/(-6)*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 5. Let f be r(-7). Let c = f - 5. Let v(o) = -14 + 14*o**2 - 4*o - 12*o**2 + 9 + 2. Let h(s) = 2*s**2 - 3*s - 2. What is c*v(g) + 4*h(g)?\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116266 and 905423.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036711713 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 21 = 2*c. Let s = c + -9. Let j(o) = -o**3 + 2*o**2 + o + 2. What are the prime factors of j(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1947*g**2 - 2006*g**2 + 3945*g**2.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 311120963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/((-693)\/(-96)) - 1)*-6. Which is smaller: 29.4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*i = -89, 3*g - 172 = -g + 4*i. Calculate the remainder when 79 is divided by g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 102 - m - 283 + 165. Let q(n) = n**2 - 9*n - 9. Let f be q(7). Let u be c(f). Solve 2 - u = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875367273 to the power of 1\/3, to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -19, 7547?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3970*g + 3976*g + 914235 - 914235.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 y, and 1 m when four letters picked without replacement from {w: 3, u: 3, n: 2, m: 3, y: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*s - 1445 - 736 = -156 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 5*g**2 - 11*g + 25. Give j(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (5 - (-11 + -3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -70651 not equal to -70651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + -55. Suppose 0 = -p - 2*p + a. List the prime factors of (p\/4)\/(-1) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 - 166. Let a(k) be the third derivative of 0*k**5 + 0*k**4 + 0*k**6 - 1\/6*k**3 - i*k**2 + 0*k + 0 + 1\/105*k**7. Differentiate a(g) wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c - 18. Calculate the remainder when 50 is divided by z(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 - s + 2\/3.\nAnswer: (s - 2)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437001 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4836 + -6.1536. Is n greater than or equal to 1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1805 - -2753. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 8*l + 18*l - l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -37*l. Let h be p(-1). Suppose 41*v - 4 = h*v. What is the smallest value in v, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/20219 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a year in months?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -12. Let m be (0 - c)*1 - -88. Suppose o = 5*g - m, -2*o - 7 = -g + 2. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 531*26\nAnswer: 13806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -30*(-15)\/6 - -2. What is the highest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, l: 9, d: 4}. What is prob of picking 1 l, 2 v, and 1 d?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/7 + 44*y\/7 + 6 = 0?\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/(j**(6\/7)\/j)*(j\/((j*j**(1\/2)\/j)\/j*j*j))\/(j*j**1\/j))\/((j*j*j**1)**(7\/6)*(j**0)**(-33)) assuming j is positive.\nAnswer: j**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001064094296 to 7 decimal places.\nAnswer: -0.0001064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -7, 5\/2, 0.9?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - -2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*v - 350 - 152, -3*d + 753 = 2*v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8353900 + -2?\nAnswer: -8353902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 2540637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 22, 14, -30, -128, -298, -558?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 72*t**2 + 2*t - 1. Let l be m(5). Suppose 0*y + l = 3*y. Suppose -3*z - y = -12*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -36. Solve 0 = l - 2 + r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiikiikikk. What is prob of sequence kkki?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -2\/3, -2\/9, -1\/2, 53\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54746041 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 242*n + 377. List the prime factors of q(7).\nAnswer: 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6776765ml?\nAnswer: 0.0006776765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1797 is divided by 821.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 45, 82, 133?\n\"Answer: 7*s**2 + 2*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 560 = 2*g - 496, 0 = 5*x - 2*g - 1776. Suppose 5*s - 506 = x. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y - 169. Let g(w) = -32*w - 846. Determine -2*g(d) + 11*z(d).\nAnswer: -2*d - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59810, 119547, 179210, 238805, 298338?\nAnswer: 357815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 154 and 5.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-3)\/(-12) + 0. Calculate the remainder when 39 is divided by 0\/1 - (c - 14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-6))\/(920\/(-504) + (-888)\/(-518))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 0. Let p = u + 6. Let d(o) = 4*o - 2. Calculate d(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, n: 9}. What is prob of sequence innn?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370123 and 12283?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 447, 1032, 1759, 2628, 3639, 4792?\n\"Answer: 71*r**2 + 372*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 67*g**3 + 11*g**2 + 7*g. Let c be m(-3). Let a = 6376 + c. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*t - 46*t = -76*t + 3885 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 2302598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7 + 1. Suppose 5*m = 10, -i*v = -5*m - 520 + 110. Let d = 39 + -24. Calculate the greatest common divisor of v and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1126*x + 2 - 655*x + 662*x + 4456*x + 0.\nAnswer: 5589*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 1. Let p(t) = t**3 - 6*t + 3. Let z be p(2). Let q be v(z). Suppose q*x + 146 = 6*x. List the prime factors of x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6 + 4*u**3 - 5*u**3 - 4*u - 3*u**2 + 2. Let s be m(-2). Suppose 3*t = 3*p - 162, 0 = -2*p - 3*t - s*t + 108. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94.478*-0.877\nAnswer: -82.857206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.023 and 22.\nAnswer: 21.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -8*t - 140. Suppose -4*j - 15*k + t*k + 1191 = 0, -3*j + 895 = -2*k. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**11*y*y*y\/y**13*y*(y**(-1\/6)\/y)**(-2\/33) assuming y is positive.\nAnswer: y**(205\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160 - 257*u**3 - 607 + 81 with respect to u.\nAnswer: -771*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 19*a**2 + a + 1. Give m(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8041616 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a + 2384 - 3573 = 0 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31972269 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 55185896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 6. Suppose -1 = -p, 0 = -3*i - i + 4*p - 64. Let f be (-2 - 7\/(-5))*i. Let n(r) = -1 + r + 15 - f. Determine 5*k(d) + 6*n(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 c when three letters picked without replacement from {c: 5, j: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 1)*155*4\/60. Suppose 0 = n*h - 20*h - 44. Factor 6\/7*a**3 - 2\/7*a**h + 0 + 0*a - 4\/7*a**2.\nAnswer: -2*a**2*(a - 2)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/5381 and 16\/258497?\nAnswer: 1390972357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(2720\/(-64)))\/(14\/(-84))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.64 and -1666822569?\nAnswer: 1666822567.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = j + 2, j - 4*m + 28 = -j. Let q = -10 - j. What is the first derivative of q*w**3 - 1 + 13*w**3 + 0 - 7*w**3 wrt w?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -4\/3 (c) 31131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 116, 55, -50, -199, -392, -629?\n\"Answer: -22*d**2 + 5*d + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332493753 and 5370?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, h: 1, y: 2, m: 8, x: 5}. What is prob of sequence ynh?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -174 - -161. Let j(f) = 4*f**2 + 379*f + 9630. Let h(a) = 2*a**2 + 190*a + 4814. Let s(t) = g*h(t) + 6*j(t). Solve s(m) = 0 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 + 1)*(0 + 0 + 1) + 2 + 0 - 1 - 58 - 86 + 223)*((3 - 3 + j)*(3 + 4 - 5) - 7*j + 32 - 32) to the form m*j + n and give m.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646695?\nAnswer: 3, 5, 7, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 90.8.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 485 = 549. Calculate the remainder when c is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 863 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**6\/8 - o**5\/12 + 5*o**4\/8 + 5*o**3\/6 + 5*o**2 + 10*o. Let d(n) be the first derivative of b(n). Factor d(f).\nAnswer: -5*(f - 1)*(f + 1)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 635*h**2\/6 - 588733*h\/2 + 13907\/3 = 0. Calculate h.\nAnswer: 2\/127, 13907\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 70. Let c be l(-22). Solve -f + c - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1253261.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (6 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 12) + (7 - 3) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 18 - 27 = 0. Let m(n) = n**2 + 23*n + 32. Let p be m(-23). Find the common denominator of -25\/2 and (-936)\/p*(-1)\/r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002736940163 to six dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (442\/39)\/((-1)\/3*-1). What is the second derivative of 68*o - g*o + 7*o**4 - 4 + 4 wrt o?\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 507 - 508.899. What is l rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7511\/(-259) + 12\/(-2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0147 equal to -372\/2743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and 37.\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 5*y + 3. Let n be i(-8). Let w = n + 36. Let v be 3 + 5\/(w\/(-6)). Solve v = -0*u + u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1700)*2*-3 + sqrt(1700) + 1 + 5)**2 + -2 + 1 + sqrt(1700) + (sqrt(1700)*-2)**2 + -4).\nAnswer: -1180*sqrt(17) + 98662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -756, -752, -748, -744?\n\"Answer: 4*f - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12791, 17, 1, 13, 5 in increasing order.\nAnswer: -12791, 1, 5, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6066657?\nAnswer: 3, 74897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 1781 + 247. Let g = 1055 + w. Suppose o - g = -0*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 251847 and 1485?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -4*a + 92, 4815*a - 4813*a - 84 = 4*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3\/7, 3\/5, -0.120575 in increasing order.\nAnswer: -3\/7, -0.4, -0.120575, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 + 284*q**2 + 57*q - 60*q + 16*q**2.\nAnswer: 311*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2 + 6*m - 9*m - 1 + 6 - m**2 + 2. Calculate y(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3680923167 to the nearest integer?\nAnswer: 60671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 521, 1070, 1605, 2132, 2657, 3186?\nAnswer: 3725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = 5*y - 969. Let n = y + -216. Calculate the least common multiple of 36 and n.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/8? (a) -1\/5 (b) 5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/((y*y**(-4))\/y)))\/((y**(-9)*y)\/y) assuming y is positive.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.7 (c) 40\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*t - 2. Sort t, -4, -5 in descending order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -60, -130, -228, -354, -508, -690?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 20958687.03 to the nearest 1000.\nAnswer: 20959000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4147795.\nAnswer: 5, 19, 43661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 64\/11 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07774 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, t: 2}. What is prob of sequence htht?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/7884 and -49\/2628.\nAnswer: 7884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90 + 112. Let q(p) be the third derivative of 2*p**5\/5 - p**4\/4 + p**3 + 28*p**2. What is the lowest common multiple of q(1) and o?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 57 - 54 - 56 - 50 + 3*d**2 + 213.\nAnswer: 3*d**2 - 3*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(5\/6))**(31\/3) assuming k is positive.\nAnswer: k**(341\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p**2 - 14*p - 27. Let k be s(-2). Let g = -21 + 19. Which is the biggest value? (a) g (b) k (c) 0.1 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1580892*i**4 - 3*i**3*x**3 + 422*i**2*x**2 - 3187*i**2*x + 9*i*x**3 wrt i?\nAnswer: -37941408*i - 18*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-2) - -2)*-7. Let p = 61 + w. Calculate the greatest common divisor of 39 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1422, 2\/9, 3215, 0.08, 2\/7, -2\/15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1093136057 divided by -125749.\nAnswer: 8693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3 - 3934*d**2 - 553520*d = 0.\nAnswer: -136, 0, 4070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -2\/15 (c) -7 (d) -4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (10 - 10)) + 8 + -12\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462, -1081, -1700, -2319?\nAnswer: -2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.05157l in millilitres?\nAnswer: 13051.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10872, 22176, 33482, 44790, 56100?\n\"Answer: i**2 + 11301*i - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o + 5*o - 2160. Suppose -6*f = -10*f + o. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y. Let b(z) be the first derivative of -3*z**2\/2 + 14. What is i(b(a))?\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 22\/127?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1006623 (base 11) to base 12\nAnswer: -71a322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24819380 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*y - 9 = y, 0 = -t - 2*y. Let o(k) be the first derivative of 0*k - 3\/2*k**t - 2. Let v(m) = -m**2. Give v(o(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(21*o - 2*o + 3*o)*((o - 2 + 2)*(1 - 1 + 1) + 0*o - 4*o + 2*o + 0*o + o - 3*o).\nAnswer: 66*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 0, 1580 = 4*u - 8*q + 5*q. Let a = u - 388. Let o(k) = -k**3 + 5*k**2 + 6*k + 3. What is the smallest common multiple of a and o(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/115311 and 105\/2312.\nAnswer: 922488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30\/1829? (a) 0.2 (b) 7 (c) 0.8 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - 4 - (103 + -161)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19231427081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552213, -552209, -552197, -552171, -552125, -552053, -551949?\nAnswer: -551807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/198 and 67\/32.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*q = -108*q + 166 + 41 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 8*h = 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10010211 (base 3) to base 13\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 681*c - 248448. What is t(365)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*j = 28, -3*y - 2*y + 4*j + 77 = 0. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 222.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -27325 divided by 25\nAnswer: -1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Let s be 10\/(-8)*(-3 + -1). Suppose 4 = -4*h + j - w*j, j = s*h - 7. Sort -4, h, 2.\nAnswer: -4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u - 2*u**2 + 17*u**2 - 2*u**3 + 0 + 0. Is 12 a factor of t(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 243145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3197587282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1234272 and 96?\nAnswer: 1234272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 3844682?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -t - 4*u, 190 = -9*t + 5*t + 3*u. Let m(n) = -13*n**3 - 6*n**2 + 6*n. Let a(p) = 105*p**3 + 49*p**2 - 49*p. Give t*m(s) - 6*a(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1918 and -82\/6130887?\nAnswer: 12261774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 530 and 40.\nAnswer: 21200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29\/3*f**2 + 1\/3*f**3 + 104\/3*f + 100\/3.\nAnswer: (f + 2)**2*(f + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*d + 22*d - 484*d - 779*d - 419*d.\nAnswer: -1546*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 0 - 148*a + 0*a**2 + 1\/3*a**3. Let p(z) = 61*z - 2. Give p(d(f)).\nAnswer: 122*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*q**3 + q**4 + 20*q**2 + q**4 + 8*q - 4*q**2.\nAnswer: 2*q*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 63738630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5702 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -37*c**2 - 3*c. Give o(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**4\/4 + 315*x**3\/2 - 7965*x**2\/4 + 1620*x + 26973 = 0.\nAnswer: -222, -3, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19449\/27 + 2 + (-7)\/3 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 553 - 181. Let m be ((-4)\/6)\/((-31)\/x). Suppose 0 = 2*h - m*h + 324. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -476.5 + 432.5. Let s = 1.1 + -0.1. Which is the nearest to 2? (a) s (b) 1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1 + 1 - 13*m**2 - 2. Let t(w) = -23*w - 34. Let c(g) = -4*g - 6. Let y(u) = -34*c(u) + 6*t(u). What is f(y(z))?\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 20*p + 22. Give v(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 194.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s - 3801 + 3495 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((550\/(-5))\/(-5))\/((-21)\/(-21)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35493 is divided by 1469.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46657592 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8605.\nAnswer: 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from zzzvzzzzzvzzvvzzzzz?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 999*v - 1013*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 794394 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + h. Let x(q) = q**3 + 4*q**2 - 3*q + 22. Let u(z) = 5*v(z) + x(z). What are the prime factors of u(5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3717 is divided by 500?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j**4 - 13*j**3 - 5*j**2 + 4*j = 0. Calculate j.\nAnswer: -4\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 22. Let x(j) = 10*j - 4. Let o be x(1). Let p be 16\/o + (-27)\/9. Sort p, -11, s in ascending order.\nAnswer: -11, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 71. Which is the nearest to 3? (a) 0.1 (b) -1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.137 + 7.363. Let w = 15.5 - g. What is the closest to 1\/5 in w, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*s**5 + 218*s**4 + 2*s**3 + s**2 + 3*s - 46 wrt s.\nAnswer: -300*s**2 + 5232*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2)\/((-8)\/10). Let d be 2\/s + 3\/5. What are the prime factors of d\/(3*2\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182 - 182 + 12*x + (-2*x + 4 - 4)*(-4 + 4 + 1) - 63*x + 33*x + 18*x + 3*x - 2*x + 0*x to c + p*x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*a = 647, a - 7 = u - 136. Let r = 134 - u. Sort -0.3, -0.02, r, -1\/9.\nAnswer: -0.3, -1\/9, -0.02, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 2:10 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*u + 2*g + 24, 5*g = 3*u + 8. Suppose -3*n - 17 = -4*c + 53, 0 = n - u*c + 10. What is the units digit of (-48)\/n - (-3)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*t - 468 - 19986*t**2 + 19986*t**2 - 3*t**4 wrt t?\nAnswer: -12*t**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*z. Let a = -2\/6099 + -30367\/390336. Which is bigger: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23865742 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 264.\nAnswer: -1\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*t - 7. Let s(f) = f - 1. Let y(d) = -3*d + 64*d - 2*d**2 - 1 - 60*d. What is t*s(j) - y(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 19*q - 5*q. Let j be -14 + (91\/(-21) - q\/(-9)). Let v = 75 + j. List the prime factors of v.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.2, 0.063, -1\/392?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2408)\/(-43) - 57 - 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j = 196 + 263 + 289. Solve 5*o = -2*p - 27 - 2, 4*o + j = -p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121252 (base 7) in base 15?\nAnswer: -6827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2 + (-36)\/(-8). Let c(w) be the third derivative of 0*w**3 + 0*w + 0 + 1\/60*w**4 + 2*w**2 - 1\/75*w**5 - 1\/100*w**r. Factor c(q).\nAnswer: -2*q*(q + 1)*(3*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*x - 151 = 30*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 44529, 89307, 134085, 178863, 223641, 268419?\n\"Answer: 44778*t - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*s + 171*s - 31824 = 0. What is the highest common factor of s and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9935 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5379466?\nAnswer: 2, 127, 21179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 13) to base 4.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r*r\/(r**36*r))\/r)*r\/(r**(-7)*r))**39)**(-12\/11))**5 assuming r is positive.\nAnswer: r**(-9360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 3. Suppose 0 = 516*w - 520*w. Calculate u(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6599\/785 - -1\/157. Let w = -583\/70 - t. Is w < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -1\/2*k**4 + 0*k + 3\/2*k**2 - 3 - 19\/3*k**3. Find the third derivative of d(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 23554\/(-4))\/((-118)\/236) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-3 + 0 - 2)*(3*j**2 - 2*j**2 - 2*j**2)*(-j**3 - 3*j**3 + 2*j**3) + 2*j**3 - 2*j**3 + 2*j**5 + (-6 - 5 + 5)*(-4*j - 2*j**5 + 4*j).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/20 - 29*f**4\/12 - 29*f**3\/6 - 57*f**2\/2 + 5775*f. Determine i(30).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -430*o**2*x + o*x**2 + 12*o*x + 69898*x**2 with respect to o.\nAnswer: -860*o*x + x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -4, 1, 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7830777 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32672 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + -103 - -26 - (-31 - -1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.210076 rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2*p)*(0*p - p + 0*p) + 2*p**2 + 3*p**2 - 6*p**2 - 10*p + 10*p + 2*p**2 - 900*p**2 - 234*p**2 + 240*p**2)*(-3*p**2 + 2*p**3 + 3*p**2).\nAnswer: -1782*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 117 = -13*d, 26*d + 25*d = 47*d - 3*b - 55 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 19 - 26 + (1 - 2 + 2)*(1 + 1 - 4))*(-v + v - 2*v) to o + t*v and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 20794.\nAnswer: -41588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 0*u - u)*(-511 - 14 + 167 - 55 - 514).\nAnswer: 3708*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.3774 weeks in minutes?\nAnswer: 5215164.192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2\/4)\/((-2)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 + 125*o**4 + 345*o**3 + 335*o**2 + 110*o = 0. Calculate o.\nAnswer: -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyywwwwwwyy. Give prob of picking 2 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -222*q**2 + 16686*q + 50059. Give d(-3).\nAnswer: -1997","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166298225 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 6 = -g - 5*v, -5*v - 14 = -4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, 1 y, and 1 w when four letters picked without replacement from wyvyeveieevmweyee.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a millimeter in micrometers?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 364 - 366. What is the fourth smallest value in -0.2, b, 2, -29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - -0.49. Suppose f + 3 = -3*i - 4, 19 = -3*i + 5*f. Let k be ((-1)\/i)\/(-5 + 4). Which is the third smallest value? (a) 2\/3 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-26)*(-72)\/27?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -537 + 545. Solve 0 = q*n - 6*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzzu when four letters picked without replacement from {z: 2, u: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -455, 2, 1 in decreasing order.\nAnswer: 2, 1, -455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**(-34) assuming g is positive.\nAnswer: g**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**3\/3 - 5*s**2\/2 + 21*s - 4. Let l be n(9). Is (-11879)\/l + (-4)\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 69. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 3, 0, 53, -6 in decreasing order.\nAnswer: 53, 3, 0, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -17. Is 4 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 3:52 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3306399 rounded to 4 decimal places?\nAnswer: 0.3306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000193489003 to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -565309, 28?\nAnswer: -565309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2. Let h be (-26)\/(-13) + (-4)\/(-2). Let y(q) be the third derivative of 1\/20*q**5 + 0*q**h + 0*q + 6*q**2 + 0 + 0*q**3. Give m(y(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.98 take away -6970?\nAnswer: 6965.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -151 + 370 - 257 + 696 - 152*x + 154 wrt x?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -263633 + 3?\nAnswer: -263630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(2*q**3 - 4*q**3 - 3*q**3) in the form n*q**3 + u + b*q**2 + s*q and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 515*k**3 - 8*k**2 + 6*k - 127. Let f(r) = 1029*r**3 - 17*r**2 + 13*r - 252. Let v(p) = 6*f(p) - 13*s(p). Find the third derivative of v(q) wrt q.\nAnswer: -3126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from gnomo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359585, 359570, 359545, 359510?\nAnswer: 359465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*l + 16, -1 = 5*l - l - 3*v. Suppose 47 = l*o - 15. Suppose 8*u = 3*u + 55. Calculate the remainder when o is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 3, j: 5, h: 11}. Give prob of sequence da.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 220\/(-99)*216\/(-528)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15170 divided by 185.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79 - -331.\nAnswer: 330.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(836\/(-330))*1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p**2 + 5*p. Let l(s) = -s + 267. Let g(q) = 2*q - 267. Let m(r) = -3*g(r) - 3*l(r). What is m(x(i))?\nAnswer: -33*i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137888642*c*p**3 - 3511593*c*p - p**2 - 9*p wrt p?\nAnswer: -827331852*c*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Let o(q) = 5*q + 2. Let f be o(0). Let h be (f - 3)*(0 + 2). Sort 2, h, a in descending order.\nAnswer: 2, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 11 + 7 + 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -17*x - 62. Let j be m(-4). Is (((-122639)\/(-2))\/11)\/(3\/j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l - l)*(3*l - l**3 - 3*l) - 21*l**3 + 75*l**3 - 2 + 17*l**3 - 4*l**4.\nAnswer: -3*l**4 + 71*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1805531481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.12413938961 - -1.12414. What is f rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 120 = 4*i, -2*i = 4*n - 7*n + 50. Suppose -68 = 12*b - n. Sort -2, -3, b in descending order.\nAnswer: -2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - 69*b**2 - 7*b - 957. Give x(35).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 1\/60*m**6 - 2\/9*m**3 + 16*m**2 - 13\/180*m**5 - 1\/630*m**7 + 0 + 1\/6*m**4 + 0*m. Factor y(i).\nAnswer: -(i - 2)**2*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3) + (-32)\/(-3). What is the greatest common factor of d and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1, 87.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/168?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 291051 and -190.93?\nAnswer: 291241.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 100022120002002220?\nAnswer: 100022120002002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -2\/3*o**3 - 13\/84*o**4 - 2\/7*o**2 + 5 - o. Factor r(b).\nAnswer: -(b + 2)*(13*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 + 5 + 8*n**2 - 8 + 4 + 2 + 24*n to the form g*n**2 + p + x*n and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2498161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -355023744 divided by -85056\nAnswer: 4174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h = 95. Let o = h - -19. Suppose o = f + f - 60. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**(-2\/9)*n))\/(n\/(n*n\/n**(3\/7)*n)))\/(((n**4*n)\/n)\/n*n*n\/(n\/(n\/(n**(-8)\/n)))) assuming n is positive.\nAnswer: n**(-895\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230101 (base 4) to base 14.\nAnswer: -1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-4 - 0)) + 1 - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(320)*-1 + 3 + 4 + sqrt(320) + -1 + sqrt(320))**2 + 0)*5.\nAnswer: 480*sqrt(5) + 1795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -119. Does 13 divide (x - 6)*2 - -28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 - (-1)\/((-1)\/(-302)*1).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104070 and 76.\nAnswer: 7909320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**5\/60 + d**2. Suppose 9 = -3*h, -3*x + h + 7 = -x. Let b(l) = -x*l**2 - l**2 + 6*l**2. Calculate b(u(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6872 and 32?\nAnswer: 27488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212902997?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**9*(v*v*v\/(v\/(v\/(v*v**(-6)\/v))))\/v*v)\/(v**(4\/3)\/(v\/(v\/((v*(v*v*v**(-9\/2)*v*v)\/v)\/v)))))**46 assuming v is positive.\nAnswer: v**(2093\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-16))\/(1\/20). Let r = 22 + i. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2735 divided by 5.\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10793, -10802, -10811, -10820, -10829?\n\"Answer: -9*n - 10784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251993, -503986, -755979, -1007972?\nAnswer: -1259965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/9 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70306909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -106251.1 and 0.163.\nAnswer: -17318.9293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**6\/360 + d**5\/90 + d**4\/72 - d**3\/9 - d**2 - d. Let h(r) be the first derivative of v(r). Determine w so that h(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 54509*s.\nAnswer: s*(s + 54509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 83413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -169\/120*b**5 - 3*b**2 + 0*b + 13\/12*b**4 + 0 - 1\/3*b**3. Factor j(r).\nAnswer: -(13*r - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*t + t + 13, 0 = 2*t - 2*a + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-1683)\/1020 + 2\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18470?\nAnswer: 2, 5, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 1695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from {r: 2, c: 2, g: 1, v: 2, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/6)\/(v*v**(-7\/3))*(v\/((v**5\/v)\/v))**40 assuming v is positive.\nAnswer: v**(-473\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -127, -1, 2, -1455 in ascending order.\nAnswer: -1455, -127, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1 + 1 - 2. Let v = c - 2. Let w(g) = 3*g**2 + g. What is the tens digit of w(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -1. Let i be -18199999 - (j - 4)\/2. What is i rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -314 - -318. Solve k*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -6. Let l be (1 - (6 + -2)) + 0\/(-2). Let w be (6\/(-5))\/((-17)\/5 - l). Sort -1\/2, w, u in ascending order.\nAnswer: -1\/2, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x**2 - 2*x + 1. Let c be a(-2). Let i = -25 - c. Find the common denominator of (-22)\/99 - i\/(-144) and -26\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 16) to base 7\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22040 - 4?\nAnswer: 22033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.3 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 13) to base 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**4 + t**2 + t - 2. Let i be z(-1). Let q(s) = s**2 + s. List the prime factors of q(i).\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 1 z when two letters picked without replacement from ipiyirzir?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030292 rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31 and -25354348544.\nAnswer: -25354348513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 - (16 + -7))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 188, 185, 188, 203, 236, 293, 380?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5403 = -1096*x + 68971 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 12*q**2 + 20*q - 4. List the prime factors of f(11).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebbs when four letters picked without replacement from besb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 0*p**2 - p**2 - 136*p + 155*p - 83. Calculate the lowest common multiple of 53 and n(8).\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 9:44 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 312 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bppyppppbyp. Give prob of picking 2 p and 1 y.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 835?\nAnswer: 250.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:31 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**1)**10\/(j\/j**1*j**(-4)\/j) assuming j is positive.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - g - 182, -g + 3 = 7. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - 35. Let r be (-1)\/(-1 + (-24)\/(-22)). Let n = l + r. Solve -t - 3*t = n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-231) + (-4002)\/(-14). Let q = v - -49. List the prime factors of q.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63365 and 10425210?\nAnswer: 198078990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 q when three letters picked without replacement from qcpspdpcpqpddpspp?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6956\/99 - 768\/11. Factor -2\/9*f - f**2 - l*f**3 + 0.\nAnswer: -f*(f + 2)*(4*f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-16)\/(-4)*(-13)\/(-26))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v - 30*v + 3*w = 13, -7 = 3*v - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -7cdb3bf?\nAnswer: -7cdb3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27620*q - 29490*q - 3*q**3 + q**3 to the form y*q**3 + b*q**2 + i + u*q and give u.\nAnswer: -1870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/6 - 4*n**4\/3 + 7*n**3\/6 + 25*n**2\/3 - 8*n = 0.\nAnswer: -8, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1475.8 + 131.8. Let b = m - -1343.9999377. Round b to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 2*n - 15. Suppose 25 = -42*f + 37*f. Let g be w(f). Suppose b + 0*j = -4*j + 263, b - j - 258 = g. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 31*d - 11*d**2 - 9 - 5 + 18 + 3*d**2 = 0. Calculate d.\nAnswer: -1\/8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-3))\/((-4)\/30). Suppose 2*l - r = -3*l. Suppose l*b - 634 + 198 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/656 and -99\/952.\nAnswer: 78064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 + 24 = 0. Let j = -133 - -535\/4. What is the closest to -0.1 in j, x, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 10*x**2 + x + 3. Let n be ((-30)\/20)\/(8\/(-48)). Calculate d(n).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 3*o - 7*o + 10*o - 5*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*y + 359*y = 4396 - 11675 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -312, -470, -682, -942, -1244?\nAnswer: -1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/(-3)*(2 + -1). Sort -0.5, -198, f, -2\/7, 2 in decreasing order.\nAnswer: f, 2, -2\/7, -0.5, -198","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*i - m, -2*m + 112 = -4*i + 2*m. Let c be 3\/12 + (-21)\/i. Solve d + 2 = -c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -r - 4, -12 + 5 = -2*r + i. Is 148*r - (-30)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 13*m**2 + 7*m - 11. What is o(-13)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p - 5. Let l = 220 + -118. Let s = -613\/6 + l. What is the third smallest value in s, p, -7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*f - 138*f + 12239 = -16*f - 5735 for f.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + (-292)\/(-16). Calculate the greatest common factor of 27 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 168680*g + 1778308900.\nAnswer: 4*(g + 21085)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -19*p + 3*p + 8*p + 16*p + 4. Calculate i(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 66886 - -6?\nAnswer: 66890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l + 5*l**2 - 9*l. Let a(w) = w - 1. Let q(i) = i - 2. Let o(b) = 4*a(b) - 2*q(b). Give p(o(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 - 384. Let t = 320 + n. Solve 0 = -3*x + 1 + t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4039812 divided by -336651\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*n**3 - 65*a*n**2 - a + 567*n**3 wrt n?\nAnswer: 6*a + 3402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 + 7 - 7 - 2*y**3 + 5 - 5 + 8 - 8 - y**3 + (2*y**2 + 4*y**2 - 4*y**2)*(0*y - y - y) to the form c*y**2 + u*y**3 + r*y + n and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00229753 rounded to 6 decimal places?\nAnswer: 0.002298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*x + 37, 4*x - x = -2*k + 13. Calculate the remainder when 74 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -303, -974, -2275, -4416, -7607?\nAnswer: -12058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 + 37148*v\/13 + 37146\/13.\nAnswer: 2*(v + 1)*(v + 18573)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1. Let n(a) = -a**2 - 10. Determine l(o) + n(o).\nAnswer: -o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + ((-9)\/3)\/3. Let l = 14 + -25.4. Let u = l - -11. Which is the third biggest value? (a) -1 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12968005 by -2593601.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 1374.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*-1*sqrt(6))\/(sqrt(12)\/(sqrt(4)*-1)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -193717.8 rounded to the nearest 1000?\nAnswer: -194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93038 and 67664.\nAnswer: 744304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.09722?\nAnswer: -0.4861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + -0.89. Let z = -0.14 - u. Let v = -1.15 - z. What is the second biggest value in 2\/3, v, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020766?\nAnswer: 2, 510383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 c when three letters picked without replacement from {h: 4, c: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 55. What is the third derivative of -38*a**k + 16*a + 18*a - 1277*a**2 + 1275*a**2 wrt a?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3346863 divided by 3.\nAnswer: 1115621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 5*a**2 + 6*a + 9. Let h be q(-6). Suppose o + h = 4*o. Suppose -o*w - 13 = -2*x + 12, 0 = -x + 3*w + 11. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 660 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j**2 + 15*j. Let a(y) = 641348*y. Calculate a(l(d)).\nAnswer: -6413480*d**2 + 9620220*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -f - 1, f = 5*j - 2*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {h: 1, m: 1, w: 4, a: 2, i: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**5\/5 + 5*b**4\/12 - b**3\/6 + b + 3. Let v be p(1). Which is bigger: -6\/73 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*x + x = 23, 0 = -x - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/7 + 36*u**2\/7 - 90*u\/7 = 0.\nAnswer: 0, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 184427 to the nearest 1000.\nAnswer: 184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 - 32 - 4*i**2 - 34)*(0*i**2 - 3*i**2 + 0*i**2).\nAnswer: 12*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -6*x + x + 2*n, 29 = -4*x - 3*n. Put -3, -4, -7, x in descending order.\nAnswer: -3, -4, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3651340 and 113\/210.\nAnswer: 10954020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 2*p + 3. Suppose -4*o + 14 = n, 0*n = -2*o + 3*n. Does 3 divide s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:15 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -737*i = -2457*i - 1401*i - 355*i - 145992 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.59 + -6.99. Which is smaller: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let z be (-6)\/8*12\/(-54)*3. Let g(q) be the first derivative of 4 + 0*q + z*q**2. Give a(g(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-338)\/(-39) - 12\/18 - -12059.\nAnswer: 11, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*r - 77 = 0, -88 = -5*s - 3*r + 109. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1624491*h**4 - 25*h**2 - 5*h - 629 wrt h.\nAnswer: -38987784*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**6 - 9901*y**4 + 12*y**3 + 5*y**2 + 104750*y - 2 wrt y.\nAnswer: -120*y**3 - 237624*y + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-32)\/s*s*s**(-6\/25)*s assuming s is positive.\nAnswer: s**(-781\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292\/7*n**2 + 104\/7*n - 104\/7*n**3 + 42 - 2\/7*n**4 = 0. What is n?\nAnswer: -49, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkk when three letters picked without replacement from {k: 2, l: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 38. Let m be g(-14). Let b = -0.06 - -1.06. Sort -3, b, m in ascending order.\nAnswer: -3, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22088.3l to millilitres.\nAnswer: 22088300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 99*(12 - (-185)\/(-15)). Which is smaller: 0.03 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 500 + 122 = -4*a, 0 = a - q - 99. What is the remainder when a is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-21)*3)\/((-37)\/(1110\/(-20)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 542445021?\nAnswer: 542445022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0603 - -49.6397. Let t = k + -50. Which is the nearest to 0.1? (a) -2\/7 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*g = -93, 4*w = -4*g - 815 + 895 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 - 0.4. Let s be 1 + 0 + -2 + -3. Which is the third biggest value? (a) g (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 2:10 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 284 - 42?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 12. Let i be 13\/(-5) - r\/(-3). Suppose 0*n = 5*n + 2*d - 21, n - 4*d - 13 = 0. Which is the third smallest value? (a) n (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405876536 divided by -31221272?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 20, -72, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, -503, -1930, -4325, -7826, -12571, -18698, -26345?\nAnswer: -35650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**7\/2520 - l**6\/120 - 11*l**5\/60 + 28*l**2. Let m(f) be the third derivative of s(f). Determine m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*a - 331*a - 33 = 0. Sort 266, 4, a in descending order.\nAnswer: 266, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2344292548 to the nearest one hundred thousand.\nAnswer: 2344300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605520?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6 - 39*k - 2 + (-2 + 0 + 1)*(-2*k + 2 - 2) + 0*k + 2*k + 0*k to the form x*k + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x**2 + 7*x - 8. Let n be a(2). Let c = n - -34. Solve h + c - 9 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 111110011101000101111?\nAnswer: -111110011101000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 118*h - 227568 = 0. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from faaaajaaaafaahafaah?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**4\/5 - 1019*g**3\/5 + 2614*g**2\/5 + 27711*g\/5 + 32256\/5 = 0?\nAnswer: -512, -3, -3\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3. Let f(i) = -74*i + 178. Let m(x) = -f(x) - 6*w(x). Differentiate m(n) wrt n.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 20*p = -364. Suppose 0 = -18*f + p*f + 53645. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13. Let i(u) = -u + 25. Let v(y) = 10*a(y) + 4*i(y). Let f be v(-9). Let g(m) = -m**3 + 10*m**2 - 18*m - 7. Is g(f) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 = a, 4*a - 31 = -t + 4*t. Let c(z) = -7*z + 11. Let r be c(-7). Suppose 2*y + 48 = r. What is the least common multiple of y and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 570038.3 weeks?\nAnswer: 95766434.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17403 is divided by 103?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2738, 2719, 2700, 2681, 2662?\nAnswer: 2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/613893 and 133\/104186412.\nAnswer: 729304884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 12:39 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -16*u**2. Let k(q) be the third derivative of -21*q**5\/20 - 50*q**2 + 3*q. Calculate k(b(s)).\nAnswer: -16128*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(6\/7)*u**(-3)*(u**(-1\/4)*u)\/(u**(2\/9)*u))\/((u\/(u\/(u\/u**1)))**46\/((u\/u**(-2\/11))\/(u**(-2)\/u))) assuming u is positive.\nAnswer: u**(2363\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - h)*(h**4 - 5*h**4 + 2*h**4) + 2*h**5 - 5*h**5 + 4*h**5 + h**5 + 68*h**3 - 70*h**3 - 3*h**5.\nAnswer: -5*h**5 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let r(h) be the second derivative of -19*h**4\/12 - 6*h. Give r(p(m)).\nAnswer: -19*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8018, 16036, 24054, 32072?\nAnswer: 40090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 31. Let k be (r\/(-6))\/(3\/234). Calculate the highest common factor of 52 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268774 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4517 in -56, -1, 2?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/8)\/(1269\/(-6016)*16).\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/9, -0.10104, -1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 21.451, 0.1, -0.05, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19761?\nAnswer: 3, 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h + 12. Calculate n(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/5 greater than -521141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**2 + 7*n + 30. Does 15 divide f(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1669 - 43.\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 62 = 55, -x - 4*h = -24873. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**3 - 2*b - 1. Let i(y) = 5*y**3 + 2*y + 1. Let f(s) be the first derivative of -3*s**2\/2 - s + 15. Let c be f(1). What is c*l(z) - 3*i(z)?\nAnswer: z**3 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 934217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7)*(-210)\/120*4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**2*i))*i)\/i**4*i\/(i\/(i*((i\/(i**8\/i))\/i)\/i))*i\/(i\/((i**3*i)\/i)) assuming i is positive.\nAnswer: i**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19183235 and 412?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -148*q + 1 - 1 + 133*q. Let n(p) = p. Suppose -11 = k - 4*s, 29 + 23 = 3*k + 5*s. Let b(x) = k*n(x) + z(x). Let y(v) = 6*v. Determine b(y(d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 3:16 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/11 (b) -1 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + t**2 + 1)*(-936*t + 938*t + 57 + 2299*t**2 - 2310*t**2).\nAnswer: -11*t**4 + 2*t**3 + 57*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.6 + -1.6. Let c = w + -5.6. What is the third biggest value in -1\/9, 4, c?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*y**3 + 70*y**3 + 352*y**3)*(-2 + 1 + 6)*(-3 + 4 + 1).\nAnswer: 3760*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -748493*0.3.\nAnswer: -224547.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406316.4 centuries to millennia.\nAnswer: 40631.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -25*p**2 + 2*p. Let g(d) = -125*d. What is o(g(q))?\nAnswer: -390625*q**2 - 250*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 6 = -29*g. Let s be (-4)\/(g\/6*-4). Suppose -2*t + 6 = -4. Solve 0 = -t*p + 10, -3*j + s*p + p = 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-422)\/(-1266)*(64 - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -304.315 - -303. Let p = t + 1.31. Which is greater: 1\/2 or p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22562 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1*(-9)\/((-135)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4993749281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + h - 36. Calculate the common denominator of 110\/(-880) - (-187)\/40 and ((-9)\/60)\/(h\/790).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*b**3 - 2215*b**2 + b + 525898 wrt b?\nAnswer: 390*b - 4430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - 1.04. Let r = d - -0.9. Which is the smallest value? (a) r (b) 1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 3, -3*d = -4*o + 87. What is the units digit of (-1315)\/d + 3\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -31 + 5\/6*k**4 + 0*k + 4\/9*k**3 + 8\/15*k**5 + 1\/9*k**6 + 0*k**2. Solve p(f) = 0 for f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 5. Suppose 0 = -p*o + 10 + 5. Let d(u) = -u - 1. Let f(j) = -j - 1. Let y(q) = -2*d(q) + f(q). Give y(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, 10, 45, 126, 271, 498, 825?\n\"Answer: 3*n**3 - 4*n**2 - 2*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, c: 3, n: 6, p: 2, m: 3}. What is prob of sequence cnh?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 0 + 26 + -11 + -7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051597 less than -9.40071829?\nAnswer: -9.34912129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 - 451*r**2 + 334*r + 24396. Calculate b(-226).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -346657 (base 9) in base 10?\nAnswer: -208303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -0.07.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-3)\/6) + -70. Let y = f + 137. What is the greatest common factor of 23 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7235238733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17103012323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + h**2 + 2)*(7*h + 16 - 16)*(3 - 2 + 4 + (-2 - 1 + 1)*(4 + 1 - 3)) as u + t*h + f*h**3 + l*h**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277593 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6573, 13152, 19729, 26304, 32877, 39448, 46017?\n\"Answer: -b**2 + 6582*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(2\/81))*d**(3\/11))\/((d\/d**0)\/(d**(-2\/7)\/d)) assuming d is positive.\nAnswer: d**(-18946\/6237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3661 (base 8) in base 15?\nAnswer: -8b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxsxsllrrxlslsllrlr. Give prob of picking 2 x.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1, 1\/652, -3, -3\/8?\nAnswer: 1\/652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4074 - -4076. Sort -4, -68, y, 0.2, 3 in ascending order.\nAnswer: -68, -4, 0.2, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 12. Let f = 270 + n. Let h = -143 + f. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 24*l**2 - 34*l + 41. List the prime factors of b(21).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 7*c**2 + 7*c + 6. Let f be y(-6). Suppose 3*r - r - 4 = f. Let u = 11 - r. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 18. Let q be s(0). Differentiate n + 1 - n + q + 14*n**2 wrt n.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -3 - -4 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2\/3 (c) -1\/2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/9, -5, 5, 4\/27, -4?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 638.2 + -135.3. Let p = r - 503. Which is the nearest to p? (a) -0.17 (b) -3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-345)\/(-20) - 6) + (-2)\/8. Find the first derivative of 7*q**2 + q**2 + 0*q**2 + b + 6*q**2 wrt q.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 2 = -7*a. Do a and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9285 + -9133. Solve -f - 18*f = h for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145295987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Let r(c) = -2*c + 24 - 32 + c**d - 9*c. What is the remainder when r(16) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83417 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**2 + 6*x**2 + 350*x - 341*x wrt x?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/5754760 and 23\/7260?\nAnswer: 17264280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-100)\/15*(-827)\/8270. Suppose 8\/9*z**3 - 2\/9*z**4 - 8\/9*z + 8\/9 - c*z**2 = 0. Calculate z.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*k**2 + 2*k**3 + 101*k**2 - 72 - 82*k + 99*k**2 - 311*k**2 = 0.\nAnswer: -4, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/23, -5, -0.1, 2.9, 18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9510.085 millennia in centuries?\nAnswer: 95100.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.18 + 11.68. Let p(q) = -q + 1. Let o be p(-1). Let z = -7.3 - -7. What is the smallest value in o, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: b\"What is the oth term of -8483, -17527, -26535, -35501, -44419, -53283?\n\"Answer: o**3 + 12*o**2 - 9087*o + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*u + 19*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - q - 10 = 0, 3*n - q - 30 = -13. Let w(a) be the first derivative of 1\/3*a**2 + 8\/9*a**3 - 4\/3*a - 1\/2*a**4 - n. Let w(k) = 0. Calculate k.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -502 - -385. Let r = q - -461. Is 43 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 21 = -3*m + 3*t, -3*m + 5*t + 3 = 0. Is 20 a factor of (4\/10)\/(m\/1200)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Let z be (-36)\/4*r\/(-3). Does 12 divide 1\/z - 355\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17555, -15717, -13879, -12041, -10203?\nAnswer: -8365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:52 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -30291 at least as big as -30292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inwbl. Give prob of sequence lb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let o be j(4). Suppose l = -l + o. Is l*1 - 8*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10123036 (base 7) in base 5?\nAnswer: 204034313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1763.\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -24*k**2 + 64*k - 170. Determine h(3).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3426 is divided by 433?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rjkvurjjvjsjr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6. Let u = 353 + 5. Let j = -352 + u. Solve x*s = 2*s - j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2860\/(-40)*34\/221?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26016?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.085678 or -557?\nAnswer: -557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*n + 29*n + 5 + 4*n + 14*n + 17*n to the form y*n + c and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115730 (base 9) to base 6.\nAnswer: 1255213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/12 - 5*v**3\/6 + 4*v**2 + 11*v. Let k be u(4). Factor 11*r**3 - 4*r**k + 2*r**2 + r**3 - r**2 - 9*r**2.\nAnswer: -4*r**2*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -400 + 770. Suppose -h = -5*x - 5*m, -3*x + 5*m - m = -229. Calculate the lowest common multiple of 5 and x.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/580 and -51\/100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 11:18 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:59 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -22747 + 22675. Let c(u) = -u**3 + 11*u**2 - 9*u + 9. Calculate c(r).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18880 and 1.\nAnswer: 18880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*v - 3 - 1 = 0, -2*v = -3*s + 22. Let t = -0.01 + 0. Which is the third biggest value? (a) -5 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9200 - 8*s - 4*s + 9205 - 27641 - 6*s**3 + 9236.\nAnswer: -6*s**3 - 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275.6 - 0.4.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1592 - 1598. Which is the third biggest value? (a) -10 (b) 2 (c) 0.3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -12*c**2 - 2. Let s(y) = 610868 - 10*y**2 - 610868. What is s(v(a))?\nAnswer: -1440*a**4 - 480*a**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179 - 87. Is 29 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 66, 123, 198?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2915991 and 95\/9542.\nAnswer: 2140337394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from ujzaajoc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399 - 1844 - 807 = -30*l + 180*l for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 866\/7 - 45053\/364. Is p bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44199.\nAnswer: 3, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49793358.\nAnswer: 2, 3, 227, 36559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**29*a)**36 assuming a is positive.\nAnswer: a**1116","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -15417*v - 370013. Give t(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5479775 and 7785?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 + 53*g**2 - 42*g - 246. Give w(-9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 22*o - 52, 7395*o - 7398*o = -5*x - 26 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (128 + -22 - 105)*(-1)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqql when four letters picked without replacement from qqllq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*v - 0*b + 16, 12 = -3*b. Suppose k - 2 = v. What is the highest common divisor of 4 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 + (3 - 5) - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbnbbnnbbb. Give prob of picking 3 n.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-35) + 26\/10. Let s(k) = -k**d + 5*k**2 - k + 15 + 0*k**2 - 1 - 8. What is s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/3*(-184)\/(-6) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.007, -61, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -496 + 1374. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from sssdd?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**7\/42 + f**5\/12 - f**2\/2 - 5. Let j(m) be the second derivative of q(m). Find the third derivative of j(t) wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2625239 is divided by 640?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8782.122 months in years?\nAnswer: 731.8435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -174534.151 to the nearest one hundred.\nAnswer: -174500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 + -0.23. Put d, 7, 5 in descending order.\nAnswer: 7, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*n**5*u - 934*n**4*u**2 - 4302*n**2*u**2 - 2*u**2 + 2 wrt n?\nAnswer: -420*n**2*u - 22416*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8141 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6*o + 2*o + 136 = 0, -o = 2. Suppose v = 3*u + 6*u. Solve 2*k - 5*a = -2*k - 7, -3*k + u*a - 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 13 + 18 + -23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence geae when four letters picked without replacement from adeeage?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 - 18*i + 4. Let w be f(3). Solve w*m = -7 + 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(1*sqrt(147) + sqrt(3)) + 2.\nAnswer: sqrt(13)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -7 + (-1 + (-32 - -14) - -19).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7791907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19708.84383 - -0.15617. Is 0.1 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5318 - 838 = 4*t. Suppose 304 = -20*f + 1004. What is the greatest common factor of t and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -165, -416, -839, -1440, -2225, -3200?\n\"Answer: -j**3 - 80*j**2 - 4*j - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (147\/(-25578)*24\/4)\/(3\/1)?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 150150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 476 - 476. Suppose 4*q + 2*f - 25 = 3*f, d = q - 3*f - 9. Calculate the greatest common factor of q and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18612444 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 9*m + 27. Let c(g) = -4*g - 13. Let j be 26\/(390\/(-225)) + 40\/4. Calculate j*c(x) - 2*k(x).\nAnswer: -2*x**2 + 2*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 72 - -37b09?\nAnswer: 37b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y = 17*y + 270. Calculate the greatest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 195. Let w = -171 + l. Let z = -0.82 + -0.08. Which is the nearest to -0.1? (a) w (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**8\/1344 - y**7\/280 + y**6\/480 + y**5\/80 - y**4\/48 + 62*y**2. Factor d(m).\nAnswer: m*(m - 2)*(m - 1)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8999818 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.1 (c) -4 (d) -2\/5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 467.97 - 417. Let t = 50.974133 - o. Round t to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141461 take away -1.7?\nAnswer: 141462.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -0.2?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -44 in decreasing order.\nAnswer: 7, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 182, -1\/13, -0.12 in increasing order.\nAnswer: -1, -0.12, -1\/13, 3, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55573.\nAnswer: 7, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = 2*p, 4 = 2*u - 2*p - 0. Suppose z + 61 = -15*t, -1073 = 2*z - 3*t - 1083. Put -50, u, z in descending order.\nAnswer: z, u, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2701496\/39 smaller than -69268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3187 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 2.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l, 3*l + 126 = 5*r - 0*l. Let p = r - 22. Is 20 + p\/(-6)*-3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 4257610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0246175 kilograms to micrograms.\nAnswer: 24617500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 10:26 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b9 (base 12) to base 10.\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2582*f - 5111*f + 2486*f.\nAnswer: -43*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**5 + 2770*o**4 + 27566*o**3 + 90838*o**2 + 121040*o + 55000 = 0.\nAnswer: -1375, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saag when four letters picked without replacement from ssaaagb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(sqrt(2448) - (-1 + sqrt(2448))*3)*1)**2.\nAnswer: -46656*sqrt(17) + 3175524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cciq when four letters picked without replacement from icqiqcqiqiqiiirqii?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 706808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 903333 and 32163.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1562 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2. Let r be b(2). Suppose -g + r*g - 10 = 0. Solve p = 3, -g*k + 3*p - 8 = 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-9)\/(-180)*-50\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-1 - 33\/(-24)). Let u = 12 - s. Suppose -3*i + 30 = -0*f + 5*f, 11 = 2*f + i. Solve f*k = -u - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - f**2 + f - 104 + 80 - f**3 to p*f + t*f**2 + i*f**3 + h and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187167 (base 10) to base 3.\nAnswer: -100111202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 403651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + -5 + (-657308)\/(-32) + (-18)\/(-144)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0524336 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 7*v + 4. Let u(z) = 5*z**2 + 22*z - 11. Let x(i) = i**2 + i. Let r(a) = -u(a) + 2*x(a). Calculate -11*f(m) + 4*r(m).\nAnswer: -m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -7.\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**3\/3 + 428*o - 1. Let n(l) = l**3 + 4*l**2 + 5. Let m be n(-4). Let j(k) = -m*k + 4*k + 6*k. Determine j(t(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 11*u = 543. Suppose -180*c = -u*c + 170. Calculate the highest common divisor of 20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103182677*m**2*v*x**2 + 2*m**2*v - 4735*m*v + 8*m*x**2 + 146*v*x**2 wrt m?\nAnswer: 206365354*v*x**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(13))**2 + (-5*2*sqrt(13))**2)*4 + 1 + (6*sqrt(104)*-2)\/sqrt(8) + sqrt(52)\/((sqrt(112)\/sqrt(4))\/sqrt(7)).\nAnswer: 5*sqrt(13) + 5089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u - 21. Let m(k) = 2*k + 5. Determine 5*i(s) + 21*m(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 4 (c) 19\/5 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjcqfwwwswccw. Give prob of sequence sj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 1\/182 (b) -1 (c) 44 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15165 + -15419. Suppose -i = -5*l - 515 - 751, 0 = -2*i - 8. Is b smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) 0 (c) -3.06 (d) 0.7 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 252 and -5.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -21 + 21 - 1*-5. Let l = 105 + i. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*b - 1079, 5*n - 7*n - 2*b + 2168 = 0. What is the greatest common divisor of n and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*o - 37*o - 65 + o**3 - 87 + 3*o**2 + 154 to the form r*o**3 + u*o + c + t*o**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 l, and 1 s when four letters picked without replacement from elwlwesp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 897\/2 and 450 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.67 - 0.38. Round z to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2141939 to the nearest integer?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49935649?\nAnswer: 71, 337, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1214049 and 1602?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*c + 609 = 0. What is the highest common factor of 9 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-16) + (-1)\/(-4). Let c(z) = -z**3 - 4*z**2 + 4*z - 5. Let s be c(-5). Suppose -2*v + s = -54. Solve 0 = 2*y + y - 4*k + v, f = -y + 4*k - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*h = -455*h + 338 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x + 109. Calculate t(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -324, -340, -358?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j**1*j)*j*j)**(-5\/6)*((j**1\/j)\/j)**4)\/((j**1)**(-30)*(j*j*j**(2\/3)*j)**(1\/7)) assuming j is positive.\nAnswer: j**(965\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31483*m**3 - 44592*m**2?\nAnswer: -188898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1244*y**2 - 2462*y**2 + 1229*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 13. Let a be u(-7). Let n = a + 96. List the prime factors of n\/(-51) - 98\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -60, 2, 80, 180, 308, 470?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -836.01 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + n = -5 - 3, -5*i = -4*n - 21. Let q(y) = y**3 + y**2 - 2. Let s be q(i). Suppose s = -14*g + 17*g - 12. Solve -17 + 1 = g*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**2 - 2*z. What are the prime factors of b(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 - 322 - (7 - -8)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12999 times 26117?\nAnswer: -339494883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 648, -623, -1900, -3183, -4472, -5767, -7068?\nAnswer: -8375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 + 25*n**5 + 19*n**5 + (n**2 - 2*n**5 - n**2)*(0 + 25 + 2).\nAnswer: -13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (30903 - 30916) + 1 + 111 + 1?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Let v(x) = 5*x - a*x - x. Let f(u) = 3*u. Calculate v(f(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 2*x + 2*x + (-3 + 4 + 0)*(x - 2*x - x) + (0 + 2 - 1)*(-2*x + 4*x - x) - 11*x + 2*x - 8*x + (3*x - 3*x + 2*x)*(0 - 3 + 2) to i*x + v and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2388, 9, -119 in increasing order.\nAnswer: -2388, -119, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v - 47463 = -5*y, 3*y = 4*v + 28465. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2266148773 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0239 and 0.5?\nAnswer: -0.01195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/211069 != -1229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 1:36 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4859 + -4847. Solve 13*o - o = v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35251 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 25.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9688 is divided by 984.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93847332 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568644.8 micrometers to kilometers.\nAnswer: 0.0005686448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -451 + 458. Solve -25 = -3*i - 5*q, -3*q + 8 = 2*i - p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, 21, 51, 103, 183, 297, 451?\n\"Answer: y**3 + 2*y**2 + y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 379562817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 14, 49, 116, 227, 394, 629, 944?\nAnswer: 1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442066?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22325068 - 5?\nAnswer: -22325073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9179790 is divided by 398?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -22 - -14 - -21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5097 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 472 + -472.3. Let d = 27 + -30. Which is the closest to n? (a) -3\/4 (b) d (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = -0. What is the remainder when 17 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21905612?\nAnswer: 2, 197, 27799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -39*g - 2324. What is j(-58)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**2 + 2 - m + 8*m**2 + 2 - 3. What is the least common multiple of 3 and a(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(136)*1 + sqrt(136) + sqrt(136))\/sqrt(8) + -6*sqrt(1377)*1 + (2*(2*sqrt(187) - sqrt(187)))\/((1*sqrt(66))\/sqrt(6)) + 1.\nAnswer: -48*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2604590 (base 10) to base 3.\nAnswer: 11220022211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 567*m**2*v**2 + 658*v**2 wrt m.\nAnswer: 1134*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454798 divided by 3?\nAnswer: 1454798\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-3)\/(-9))\/(0 + 1))\/(-1). Which is the third biggest value? (a) p (b) -3 (c) 1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-50)\/(-18) - (-1192)\/5364. Solve -4*d + 31*q = 32*q + 19, 3*d + 18 = i*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*z = 147*z + 155, 2*l - 12*z = -376 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46742 + -44836. Calculate the smallest common multiple of c and 50.\nAnswer: 47650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + t - 1. Let c(f) = 15*f**2 - 4*f + 3. Let o(l) = -c(l) - 4*r(l). What is o(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -231, -351, -469, -585?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69507 by 3.\nAnswer: 23169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d**(-1\/4)*d)\/d*d)*d)\/d)\/(d*(d\/((d*d**(8\/5))\/d))\/d))\/(d*(d\/(d\/(d*d**(-4))))\/d*d*d)**13 assuming d is positive.\nAnswer: d**(277\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0*s. Suppose s = -2*j - 3 + 7. Is 18 a factor of (-1)\/(-2) - (-105)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 747029745 and 330?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**14)\/(c\/c**(-22\/3))*((((c\/(c\/c**(-21)))\/c)\/c)\/c)**(-5\/4) assuming c is positive.\nAnswer: c**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 252 - 66. What is the remainder when q is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18841 - 18880. Let q = 0.7 + 2.8. Let p = -4 + q. Sort p, -2\/3, f in descending order.\nAnswer: p, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1310*f*k**2 + 17*f - 38093*k**2 + 388409*k wrt k?\nAnswer: -2620*f - 76186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o - 1. Suppose 15*w + 16*w = -7161. Let p = 234 + w. Calculate i(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - 759*d + 763*d - 43 with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 26*n**2 - 6*n**2 + 15 - 4*n**2 + n**3 + n. Let x be w(-16). Let d be (0 - -4) + -3 + x. Solve 5*i = -d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 80328, 80329, 80332, 80337?\n\"Answer: y**2 - 2*y + 80329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, h: 1, y: 1, v: 7}. What is prob of picking 3 s and 1 y?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 7:03 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r = 4*r - 594. Solve 0 = 3*i + 3*h - r, 3*i - 4 = -i + 4*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by ((-54)\/45)\/(6\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/7 and 73\/1156.\nAnswer: 8092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5973 to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3913*g - 1247*g - 58*g - 3555*g. Let r(x) = x. Determine y(r(v)).\nAnswer: -8773*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, y: 3, i: 1, e: 4, o: 3}. What is prob of sequence ic?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (2 + -1 + -56). Suppose 0 = -3*y + p + m, 0*y + y = 5*p + 13. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.8 (b) -0.5 (c) 1\/4 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -585*r + 19319 - 2354 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39729 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 1:05 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5) - 42\/(-5). Solve -6*n - 2*m = -3*n + w, 0 = -5*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43 - -3546a4?\nAnswer: 354727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140138077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 12}. Give prob of sequence ccbc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 744.44839860693 minus -0.3?\nAnswer: 744.74839860693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 19*d**2 + 13*d + 2. Let w(m) = -10*m**2 - 6*m - 1. Let x(c) = 4*l(c) + 9*w(c). Let f be (-1 + 3)\/(4\/22). Let r = f + -12. Give x(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/(-3) + (-265296)\/(-72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27520 + -27519. Is a != 3\/8065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -7?\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/56 + (-6)\/(-8))*-1. Suppose 1 = b - 4. Suppose b*k - 22 = -m, -m + 10 = 4*m. What is the nearest to -1 in r, k, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/(-22) + (-2)\/(-11) - 13. Calculate the remainder when (-4487)\/y - (0 - (-6)\/45) is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2413*a**2 + 56*a - 7. Let t(v) = 7244*v**2 - 160*v + 20. Let z(g) = 20*o(g) + 7*t(g). Let y(d) = 5*d**2. Give y(z(x)).\nAnswer: 29963520*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - k - 5, 2*l - k = -3*l - 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**2 + 129*k**3 + 126*k**3 + 132*k**3 - 388*k**3 - 41*k**2.\nAnswer: -k**3 - 59*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 + 100*w**4 + 13156*w**3 - 68452*w**2 - 104352*w + 649152 = 0. What is w?\nAnswer: -49, -3, 4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 32*t**2.\nAnswer: 4*t**2*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from etfuo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1904.555622 rounded to the nearest integer?\nAnswer: -1905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3944 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21618428, -43236853, -64855278, -86473703?\nAnswer: -108092128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 15 - 5*q - 2*q.\nAnswer: -2*q - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5658554.2 - -0.5?\nAnswer: -5658553.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 20 = 5*o, -3*y - 20 = -o - 4*o. Suppose y = 3*p - 2*p - 6. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 112504.626 seconds?\nAnswer: 1.302136875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43087 is divided by 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94b9 (base 13) to base 14.\nAnswer: 7717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 788371 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 10:56 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) 4\/5 (d) -21415 (e) 0.2 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 2. Let x be d(-7). Suppose 0 = -5*i - 5*w, 2*i - 4 - 1 = -3*w. Let t = x + i. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.029 + -57.029. Let b = 56.5 + j. Sort 4\/7, 0.4, b in ascending order.\nAnswer: b, 0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-19\/5)\/j*j**(-24)*j**(-3\/10)\/j**(-1))**(1\/39) assuming j is positive.\nAnswer: j**(-281\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.5896 centimeters in millimeters?\nAnswer: 3945.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/7))**41\/(m**9\/(m**29\/m)) assuming m is positive.\nAnswer: m**(338\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 b when three letters picked without replacement from {b: 13, h: 5}.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 3845?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 + 5*l - 6. Let u(f) = 16*f**2 + 24*f - 33. Let b(d) = -11*k(d) + 2*u(d). Factor b(y).\nAnswer: -y*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24531 and 141219.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*l*v**2 - 14*l*v - 64*l - 28*v - 31 wrt v?\nAnswer: 12*l*v - 14*l - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/3260147 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(3 + (sqrt(637) - (1*(0 + sqrt(637)) + sqrt(637))**2)*4).\nAnswer: -305670 + 840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (812\/348)\/((-2)\/(-4782)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -7559?\nAnswer: 15118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 5*c**2 + 3*c - 1. Let w = -1 - -1. Suppose x + 0*x + 3 = w. Calculate the remainder when 23 is divided by b(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtgdsrgdrgr. Give prob of picking 1 g and 1 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 41. What is the lowest common multiple of 14 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 9*d + 5. Let w be n(9). Solve -r + w*r + 8 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrqs when four letters picked without replacement from jqxqxxjjjxsjsxrqj?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -579?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + n - 2*n)*(n + n - n)*(-n**2 + 0*n**2 + 2*n**2) to y*n**2 + s*n**3 + m + j*n**4 + t*n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 123, 228, 405, 666, 1023, 1488, 2073?\nAnswer: 2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2752.5 (b) -3\/4 (c) 0.4 (d) -0.5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7.1 (b) 1\/2 (c) 4 (d) 0.18 (e) 3 (f) -1.684\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 - -85504?\nAnswer: 8552a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 + -79. Let s be (-8)\/b + 46\/14. Solve 2*j - 4 = s*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -332, 3, 31, 2.\nAnswer: -332, 2, 3, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40 and 2 - (0 - 0) - (-7068)\/(-3252)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(-2 + sqrt(1573) + -1 + sqrt(1573))*3)**2 + -5.\nAnswer: -680513 + 14256*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 1138513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*r - 37*r + 86*r = 159*r. Let f(s) = s**2 - 83. Determine f(r).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12876 + -2239. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -538178*r - 33082114.\nAnswer: -538178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssxcqxscq. Give prob of sequence cxsq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 29470 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -9. Let s be (-408)\/w*16\/(-6). Let q = 165 - s. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23313 (base 5) in base 12?\nAnswer: -ba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1533 = -44*d - 122*d - 53*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 4*l - 5. Let m(i) = i**2 - i - 1. Let j(x) = 2*m(x) - y(x). Suppose -3*g = -5*q - 30, -3*g + 9 + 9 = -q. Determine j(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273183 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 976*q = -415*q - 571*q + 234*q - 134784 for q.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/10956 and 44\/483?\nAnswer: 1763916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25 (b) 0.1 (c) -2\/13 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 2*h - 4. What is the smallest common multiple of 7 and o(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 8*a + 8064, -b = -4*b + 5*a + 8046. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s - 69 = 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 8*j**3 + 9*j**2 + 108*j - 108.\nAnswer: -(j - 3)*(j - 1)*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 13 - 4 = 0. Suppose 3*o + 49 = 2*j, -j = -o - a*o - 22. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304595167 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 11 = 5*t, 26 = 3*u + 3*t + 5. What is the least common multiple of 59 and u?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -71*m + 1 + 145*m - 73*m. Let k(b) = b + 3 - 3 + 1. Determine 3*k(v) - 5*o(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 4*g - 6*g**2 - 3 + 3*g**2. Suppose 0 = -5*h + 3*d + 5, 137*h = 135*h - d - 9. Give a(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2788718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4 + 365*v**3 + 7*v**2 - 8 - 364*v**3 - 5*v. Let q be h(-7). Do q and 24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4314606 by -719101.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.5099741 rounded to 1 decimal place?\nAnswer: 29.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2\/(-6)*-3. Let k(p) = 11*p - 6. Let w be k(1). Suppose g - 3*l = -0*g - 11, w*g - o = l. What is the remainder when 2 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231110.\nAnswer: 2, 5, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (195\/(-20) - 0)*(-13 - -21). Suppose -s = -14 - 10. Suppose -5*m = -q + s. Solve 2*w + m = 7*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 0*h**2 - 1\/24*h**3 - 1 + 2*h - 1\/48*h**4. Let p(o) be the first derivative of s(o). Factor p(i).\nAnswer: -i*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 59?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocoooccocoo. Give prob of sequence oo.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 933 - 66242\/71. Let s be (-6009)\/3195 + 0 + 2. Let y = i + s. Which is the third biggest value? (a) y (b) -0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + 37.93. Let p be 0\/((-15)\/5 + 1). Which is smaller: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 212 = -5*h. Let p = 286 - h. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4086 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14aa279 (base 13) to base 14.\nAnswer: c44771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22815 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2575848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 31. Let m(z) = z**3 + 2*z**2 - 2*z + 2. Let y(c) = 3*c**3 + 7*c**2 - 7*c + 7. What is a*m(t) + 2*y(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 285705694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:39 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 85\/4 of a milligram?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = -20. Let o(v) = -4*v**3 - 3*v**3 + 6*v**3 + 5 + 8*v - 7*v**2 + 2*v**2. Determine o(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 15*i - 29. Calculate t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12041698943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 54*i - 765 - 861 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -7 - 7. Let n = 28 + p. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*q**2 + 15*q + 45 = 0. Calculate q.\nAnswer: -3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 9)*42\/7. Let h = 45 + -33. Calculate the greatest common divisor of u and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/103, -3, -4, -4\/3?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 5*d + 4*i, 0 = 1289*d - 1292*d + 3*i + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, k: 1, u: 1, w: 1}. What is prob of sequence uwc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*d + 71770, -150705 = -3*n + 4*d - 43080. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, 1, 19, -4 in ascending order.\nAnswer: -11, -4, -2, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 359977332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*z + 8. Let q be 0*z\/(-15) - -3. Find the second derivative of -47 - 8*g**q - 3*g + 20 + 27 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 6*q - 3. Let c be s(4). Suppose 4*n - 170 = -2*a + n, -3*n = 0. Let z = a - 83. Solve 0 = -z*f - 4*i - 4, 7 = -c*f - 2*i - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4212) + -6*-3*sqrt(4212))\/((3*sqrt(1600) + sqrt(1600) + sqrt(1600) - sqrt(1600))\/sqrt(4)).\nAnswer: 171*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/(-24)*15\/21. Let d(o) = -o - 7. Let n be d(-4). What is the nearest to n in -2, j, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 greater than 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = v + 3, 2*m - 3 = v - 4*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 21 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -741806 divided by -4\nAnswer: 370903\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i\/i**(-6))))*(i**(-4)\/i)\/i*(i\/(i*i**(-2\/5)))\/i*i*i**(2\/11))**(-2\/3) assuming i is positive.\nAnswer: i**(1256\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/4 - 5*k**3 - 29*k**2\/2 - 25*k - 42. Let b be h(-13). What is the greatest common divisor of 56 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oohhoekokw. Give prob of picking 1 h, 1 o, 1 w, and 1 k.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 51454525?\nAnswer: 51454530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x**3 + 6*x**2 + 6*x + 6. Let t(w) = -w - 1. Let n(b) = -j(b) - 6*t(b). Find the third derivative of n(u) wrt u.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272907 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 56320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 68555 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (7 + -19))\/((-18)\/36 + (1 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + 8*b**2)*(4*b - b + 0*b).\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28792980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2342791953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (48\/168)\/(18\/36)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701 a factor of 380906347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 143, 60?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 3)*(-5 + 5 + 2*u)*(-6*u**2 - 18 + 18) as l*u**2 + c*u**3 + v + i*u and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19253 + 19252. Which is the closest to w? (a) 2 (b) 9 (c) -259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 6*s**2 + 4*s - 10. Give o(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 2*o**2 - 4. Let a be k(-3). Suppose 5*l + 5*s = a, -14 = -4*l - 3*s + 4*s. Solve -4*q + l = 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.875 rounded to one dp?\nAnswer: 71.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + 0.1. Let f = 3.7 - -0.3. Let k = f + p. Which is the closest to 1? (a) 0.3 (b) k (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15939.\nAnswer: 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 14) in base 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-21) + 9\/7. Let o be 2 + 1 - (u + 0). Suppose 3*d + 26 = 2*v, 4*d = o*v + v - 38. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a75 - 1ccd?\nAnswer: -3964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + o**2 + o - 2. Let l be g(0). Let x be ((-31)\/62)\/((-1)\/(-8)). Let s = -1 - -1. Put x, l, s in increasing order.\nAnswer: x, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49\/566 - 181785\/2112878. Let u = 7076\/727935 + b. Let m = 128\/195 + u. What is the biggest value in -3\/4, -0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163388210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1535\/307)\/((-2)\/8)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - ((-10)\/8 + 0). Let l = -1 + 0.9. Let s(v) = v**2 - 12*v + 35. Let d be s(8). What is the closest to c in l, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**4\/4 - 83*j**3\/4 + 16275*j**2 = 0?\nAnswer: -300, 0, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*h - 1704 + 3585 = -3411 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178707.\nAnswer: 3, 71, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*r - 3*u, -u + 2 = -3*u. Let f(q) = 4*q + 2 + r - 3*q**2 - 4 - 2. What is f(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11300*m + 576293. Give v(51).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 9:59 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -y + 2, 5*y + 20 = -30*w + 35*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*d - 769*d = 83567 for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/30 + 14*x**2 - 33*x. Suppose j - 2*t = -3*j + 8, -t = 2*j - 8. Let b(h) = 0*h**2 + j*h**2 - h**2. Calculate a(b(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6540 is divided by 131.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -187 - -183 - (-2 - (-3 + (-7 - -4)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = 6*v - 468. Put v, 2, -1 in ascending order.\nAnswer: -1, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*p + 9, 6640*g - 2*p = 6636*g - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 509*b**4\/6 + 621*b**2 + 269*b. Find the first derivative of q(y) wrt y.\nAnswer: 2036*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 - (-71 + (12 - 14)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -9, -1279, -7, 0 in descending order.\nAnswer: 3, 1, 0, -7, -9, -1279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/101 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16388\/7 + 9353\/4. Find the common denominator of x and (21\/(-28))\/((-36)\/286).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 at least -219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, e: 2}. Give prob of picking 4 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.08. Let i = g - -3.92. Let o = 5 - i. Are o and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1813, 1871, 1919, 1951, 1961, 1943, 1891, 1799?\n\"Answer: -q**3 + q**2 + 62*q + 1751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2331.384mg?\nAnswer: 0.000002331384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1502624148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**5\/10 - p**4\/12 + 3*p**3 + 21*p**2 - 3*p. Let q be x(17). Is (-2*(-1)\/3)\/(10\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 0.04415 (c) -5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 z, and 1 u when four letters picked without replacement from {n: 1, l: 2, u: 3, z: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -54\/5. Let h = 55 + -53. Suppose 4*c - 18 = -2*v, -c + 17 = h*v + v. Put v, 2\/11, l in decreasing order.\nAnswer: v, l, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -251*c**2 + 12*c + 7. Let i(r) = -502*r**2 + 22*r + 15. Let b(n) = 6*i(n) - 11*s(n). What is the derivative of b(f) wrt f?\nAnswer: -502*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/2 (b) -4\/3 (c) 2\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - 2b?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, 0, 1.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 21. What is the tens digit of -2*86*1\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-12)\/(-20))\/(3\/(-15)). Differentiate u + 11*u - 18*u + 54 + 8*u - s*u**3 with respect to u.\nAnswer: -9*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4)*4)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/6 (c) 937 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*m + 28 = -0*b, -m = 4. Suppose 4*w + 3*v - 12 = b, 5*v = -3*w + 15. Suppose 2*y + 0*l - 2*l = 16, -2*y = -3*l - 20. Sort w, y, -3.\nAnswer: -3, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - l**3 - 4*l**3)*(3*l - 12*l - l) + 1 - 1 + 2*l**4 + l**4 - 5*l**4 - 8*l**4.\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1292 divided by -66\nAnswer: -646\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 927*c*f + 7861383*c - 4847*f wrt f?\nAnswer: 927*c - 4847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/32753 - 9360\/32753. What is the nearest to j in -4\/5, -2, -4, 5.74?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14197726456002 + -14197721541818.9199983. Let y = 4914223.08 - k. Let a = 40 - y. Round a to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 3*w**2 + 4*w + 5. Let x be d(0). Suppose 5*r = -5*y + r + 15, 4*y = x*r + 12. Let u(c) = c**2 + 2*c - 5. Give u(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-979)\/(-33)*(1 + 0). Let n = g + -30. Let s = 3.5 + 0.5. What is the nearest to 1 in n, s, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*(-2 - 16\/(-14)). Let q be (-3)\/b - (-1)\/(-2). Is -44*(4 + -3)*q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 divided by -13017?\nAnswer: -362\/4339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -1589497 and 0.13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a kilogram in grams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 15616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4*10))\/(6*3\/(-225))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1493 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.012.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -63*o**2 - 4*o + 2. Let j(t) = -3276*t**2 - 210*t + 105. Determine 315*d(u) - 6*j(u).\nAnswer: -189*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {q: 1, x: 5, u: 12, l: 1}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0 + 10 = 0. Let u be (-6)\/(-7)*2 - r. Suppose -3*v - 2*m + 11 = 0, -4*v + 3*v + m - 3 = 0. Which is the nearest to v? (a) u (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 2. Let n(t) = -16*t - 11. Let a(u) = -2*n(u) - 11*q(u). Let k(s) = 7 - 7 - 5*s. Suppose 16 = 5*c - 94. Determine c*a(w) - 4*k(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16 and 168925669?\nAnswer: 168925653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 0*a**3 + 0*a**2 + 3\/4*a**4 - 7 - 2\/5*a**5 + 1\/18*a**6 + 0*a. Solve n(s) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1176 and 2058?\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3106, 3112, 3118?\n\"Answer: 6*o + 3100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 15 = 0, 3*r - 142*p - 10 = -143*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -5*g**7\/42 + 3*g**6\/2 - 6*g**5 + 25*g**4\/3 - 3105*g. Factor y(v).\nAnswer: -5*v**2*(v - 5)*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*a = 108*a + 80. Solve -a*u - 25 = -15*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yemxmyxmxeeyemxeee. Give prob of picking 1 x, 2 y, and 1 m.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*11)\/1 - -2. Suppose -r = -4*o - 0*o. Solve 2*y = o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5006, 19947, 44826, 79643, 124398?\n\"Answer: 4969*k**2 + 34*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -27441?\nAnswer: 8232.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/((-231)\/(-90)) + (-32)\/(-8). Which is the third smallest value? (a) -1\/11 (b) -6 (c) u (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 7. Suppose 0 = -2*o - 7 + 27. Calculate the greatest common factor of l and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 2, k: 5, m: 1, p: 4}. Give prob of picking 1 p, 2 k, and 1 m.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n. What is the derivative of n + 2*b**2 - 3*b**2 + 3*b**2 - 1 wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9631 or 9643?\nAnswer: 9631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 3*o - 11. Let i be k(4). Let x = -13 + i. Solve 2*f + 6 = -3*v - 2, -f = -5*v + x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000136199417 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 6*l - 1750. Let o(q) = -15 - 175*q - l*q - 116*q. Let w be o(-5). What is w rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o - 8. Suppose -a + 130 = o*a. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -363444, -1453821, -3271116, -5815329, -9086460?\n\"Answer: -363459*r**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (65\/20)\/(1\/24). Suppose 8*y - 11*y + f = 0. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = -20. Let u(t) = -11*t + 11. Let f(m) = -17*m + 17. Let z(a) = q*f(a) - 8*u(a). Find the first derivative of z(i) wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3038 is divided by 612?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 4*o + 3. Let f(n) = 0*n**2 + 4 + 0*n**2 + 0*n - 5*n - 2*n**2. Determine 2*f(q) - 3*w(q).\nAnswer: 2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let v(m) = 5*m**2 - 6*m - 2. Let t be 2457\/(-2079) - (-1)\/(-11)*-2. Determine t*v(w) - 6*r(w).\nAnswer: -5*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let t(g) = 3*g + 2. Let x(i) = -2*i**3 + 9*i**2 - 12*i + 81. Let r be x(5). Calculate r*f(p) - t(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 243 = 5*t. Suppose t = 5*b + 2*k, 11 = 2*b - 4*k - 25. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 21 = -299. Suppose 0 = -0*j + 2*j - 3*t - 2, 0 = 5*t - y. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**1)\/h)**(-9))**(-2\/15) assuming h is positive.\nAnswer: h**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037368608 to 7 decimal places.\nAnswer: -0.0003737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37a (base 11) to base 12.\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17672\/9 + 376\/9*y + 2\/9*y**2.\nAnswer: 2*(y + 94)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2866, -4\/5, -4, -0.04, 0.2, 5 in decreasing order.\nAnswer: 5, 0.2, -0.04, -4\/5, -4, -2866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -215 or -216?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 136068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 8:23 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-20)\/(-35))\/((-3)\/15).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.055 + 2.945. Which is the second smallest value? (a) v (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, -1, 10, 27, -19 in descending order.\nAnswer: 27, 14, 10, 1, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320, -313, -306?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*5*sqrt(68)*-2)\/(-3*sqrt(4)*1 - ((sqrt(256) - (sqrt(256) - (sqrt(256) + (-6*sqrt(256) - sqrt(256))))) + sqrt(4))).\nAnswer: -30*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13010 - 43413211?\nAnswer: -43431221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-72)\/(-9))\/16)\/(3\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 6:05 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -8 - 18 - -32) + -11 + 20.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c + 17 = -2*n, -5*n = -4*c - 40. Suppose 202315 = 5*v - i - 92687, n*v = -5*i + 235990. What is v rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 176*t**2 + 9*t - 24. Is k(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 0*j**2 - j**2 + (12*j - 7*j - 4*j)*(5*j - 6*j + 6*j) as m*j**2 + u*j + g and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + -2)*9*(-5)\/(-135).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 53\/5 (c) -2 (d) -0.2 (e) -2\/13 (f) 1\/3462\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {k: 1, j: 4, a: 9, i: 2, b: 1}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + -87. Let w = 168.24 + k. What is w rounded to one decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - (23 + -25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0*n**4 + 13*n - 41\/2*n**2 - 1\/30*n**6 - 13\/20*n**5 + 0*n**3 + 0. Find the first derivative of x(f) wrt f.\nAnswer: -4*f**3 - 39*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 15 + 6 + -18 + 13.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -8. Sort -2\/5, z, 6\/7.\nAnswer: z, -2\/5, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114964226 and 4238.\nAnswer: 4238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3551223 divided by -1443\nAnswer: -2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-151)\/(-10) + (-9895)\/98950?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996239653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/((-4060)\/150)*14\/(-8)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*c + 17, -3*c - 5 = -4*b + 2*c. Suppose b*o - 18 = 22. Suppose u - 90 + 18 = -4*n, -n + 2 = 0. What is the greatest common divisor of o and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -187*w**5 + 114*w**4 - 3*w**2 + 198430*w?\nAnswer: -3740*w**3 + 1368*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*i + 49, -40*i = -3*o - 36*i + 147. Does 39 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brpbpbbbbbpbpwb. What is prob of picking 2 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53383363 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 65 - 57 = -b, 5*b + 3*q + 16 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.7 + 5. What is the second biggest value in t, 0.4, -2\/15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -35 - 2 - 6\/3. Let f = -21 - w. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -3*c**5\/80 + 3*c**4\/16 + c**3\/2 - 3*c. Factor a(s).\nAnswer: -3*s*(s - 4)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 188083 - 4?\nAnswer: 18807b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*a**2 + 2*a**2 + 2*a**2)*(4 - 4 + 1) + 0*a**2 - 2*a**2 - a**2)*(-2*a - 3*a + 3*a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21\/1870 - -4725407\/935. Let j = 5060 - a. Calculate the common denominator of j and -31\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100100 - -100111000000000?\nAnswer: 100110001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205972 greater than 1205974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/70*10\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhhikjks. What is prob of sequence sj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*o**3*w + o**3 - 6*o**2*w - 691*o*w wrt o?\nAnswer: 354*o*w + 6*o - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15381, 61527, 138455, 246171, 384681, 553991, 754107, 985035?\n\"Answer: v**3 + 15385*v**2 - 16*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llyf when four letters picked without replacement from pflflllllllpy?\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3896*d**2*t + 16*d*t - 3*t + 2813 wrt d.\nAnswer: 7792*d*t + 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**47*m)\/m**48*m\/(((m*(m\/(m**(-12\/19)*m))\/m*m)\/m)\/m)*m\/((m*m**(-4\/39)\/m)\/m) assuming m is positive.\nAnswer: m**(-66341\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**4\/8 - 157*w**3\/6 + 3579. Determine a, given that c(a) = 0.\nAnswer: 0, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.08, 8\/5, 5\/8?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -75.8 and -0.03193?\nAnswer: 75.76807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 8. Give v(18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324666 (base 7) to base 6.\nAnswer: -1115333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14400 - 14375.861. Let q = 0.139 - w. Let y = q + 19. What is the second biggest value in y, -1, 0, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j + 6*j = -36 - 114 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least 136906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 173344656?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -223?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43282033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2209 = -17*v - 4421. Is v smaller than -390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -100223?\nAnswer: -100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*b = -560*b - 248*b - 1768 - 142808 for b.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t = 299 - 219 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:16 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -16. Suppose -c*m + 2*m + 9 = 0. Sort m, -3, 5 in descending order.\nAnswer: 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -186386, -186371, -186352, -186329, -186302, -186271?\n\"Answer: 2*c**2 + 9*c - 186397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 155 + 40 = 0. Let g(z) = -13*z - 66. What is the hundreds digit of g(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c**2 + 2. Let w(q) = -2*q**2 + 2552. Give w(g(y)).\nAnswer: -200*y**4 + 80*y**2 + 2544","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 1, w: 1, y: 1, p: 1}. Give prob of picking 1 f and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/4*(-39556)\/(-7502)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 5499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/30 + g**4\/6 + g**3 + 11*g**2. Suppose v(a) = 0. Calculate a.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2451 = -4*s + 2463. Let r(w) be the third derivative of 5\/24*w**4 - 12*w**2 + 7\/6*w**s + 0 + 0*w - 1\/60*w**5. What is r(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*p**4 + 120*p**4 - 220*p**4)*(0 + 4 - 3) + 25 - 25 + 5*p**4.\nAnswer: -134*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o + 84 = -119*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438769 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -922 or -794?\nAnswer: -922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + 4*f)*(2*f**2 + 0 + 0) + 2*f + 2*f**3 - 2*f - 20*f**3 - 15*f**3 + 5*f**3.\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66825\/43 + -1554. Are h and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (2 - (-3 - 0)). Suppose 4*f - 20 = -y - 6, -m*y + 95 = -5*f. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 277 - b?\nAnswer: 26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(208) + 1 + sqrt(208)) - (-5 + sqrt(208) + 0 + sqrt(208))) + 3*(sqrt(117) + 1*sqrt(117)*4))**2.\nAnswer: 1242*sqrt(13) + 61974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-2))\/((195\/20)\/(-13))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 5*z - 872. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2740, 5493, 8268, 11065, 13884, 16725, 19588?\n\"Answer: 11*g**2 + 2720*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 44568*v - 16. Let q(a) = -19100*a + 7. What is -7*p(r) - 16*q(r)?\nAnswer: -6376*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 6*x - 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -23.2124?\nAnswer: -23.2124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1375838 - 1375838 + r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2\/7, 3\/8, -214 in decreasing order.\nAnswer: 3, 3\/8, -2\/7, -4, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Suppose 0 = 9*j + 16 - 196. Let f = 4 - 2. Let w(n) = -20*n + 7*n**f + j*n. Calculate w(o(u)).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6662251*t**3 + 7856348*t**2?\nAnswer: -39973506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g - 3. List the prime factors of k(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12872\/9 - -1428. What is the common denominator of -7\/60 and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2786, 2495, 1736, 281, -2098?\nAnswer: -5629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a96 (base 12) to base 14.\nAnswer: -4d90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*x**3 - 536451*x**2 + 5362710*x - 13405275.\nAnswer: 3*(x - 5)**2*(8*x - 178737)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**5\/3 + 20*n**4\/3 - 32*n**3\/3 - 4*n**2\/3 + 34*n\/3 - 16\/3 = 0?\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**3 + 301*c**2 - 220*c - 161. Is a(-74) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*n - 24, -n = -0*f - 2*f + 9. Let t be ((f - -3) + -1)\/(-1). What are the prime factors of (t\/(-3))\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 9 - 104 = 0. Let g(y) = -a*y**2 - 26*y + 26*y. Let r(j) = 2*j. Determine g(r(b)).\nAnswer: -76*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/(11\/198). Suppose c = z*c - 35. Let k = c - -6. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 - 5*b - 26. Calculate h(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -37 - -32 - -53.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 + -64. Let t = 271.7193 - 298.71972. Let m = t + s. What is m rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 138 = 2*f, 3*f - 182 = -4*h + f. Let u = 1421 + -1410. What is the greatest common factor of u and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one eighth of a millennium?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -853, -3350, -7513, -13342, -20837?\nAnswer: -29998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 777 = 25*o. Is -189\/5 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 36411 (b) 297.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 19859518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.259 * -64.\nAnswer: -2448.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3498.\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 31238*r**2. Let z(m) = 76*m. Determine h(z(c)).\nAnswer: 180430688*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**3 - 24*m**2 - 58*m + 84 = 0.\nAnswer: -7, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -26. Suppose -19 - p = -j. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p. Let x(c) = -5*c + 47. Let k be x(9). Let i(h) = h**3 + 3*h**2 - h - 1. Let w be i(-3). Let s(g) = -2 + 2 - g**k - g**w. What is q(s(f))?\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 0*c + 0*c + (c + c + 0*c)*(-2*c**2 + 1 - 1) - 19*c**3 - 17*c**3 + 38*c**3 in the form d + a*c**3 + u*c + b*c**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7. What is the first derivative of -1 + 0*c + v*c + c wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 n, and 2 k when four letters picked without replacement from {n: 1, g: 3, d: 1, a: 10, r: 2, k: 2}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from rjjzjjz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -31. Suppose 4*l + j*l = 0. Solve l*b + 1 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*f = 8, 0 = 4*f + 10 - 26. Let d = 24 - 22. What is the remainder when y is divided by 4\/((-16)\/(-52)) - d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 - -198. Solve -m*z + 19 = -6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -7*q**2 + 0*q**4 - 15 + 0*q - 1\/60*q**5 + 0*q**3. Let j(c) be the second derivative of 3*c**3\/2 - c. What is w(j(v))?\nAnswer: -81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = 5*t, 504*n = 507*n - 3*t. Let i = -94 - -659\/7. Which is the third biggest value? (a) n (b) -0.5 (c) i (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*s + 1 = 0, -3*u - 471*s + 25 = -467*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 2*l**2 - 2*l - 5. Calculate k(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33465 (base 7) to base 10\nAnswer: -8475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21509466 to the power of 1\/2, to the nearest integer?\nAnswer: 4638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 10*40 + -2*(-9)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**4 + 3*z**4 + z**4)*(-30*z - 759*z - 409*z).\nAnswer: 1198*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*sqrt(432)*-2 + (sqrt(432) - (-1 + (sqrt(432) + 1)**2) - 6*(sqrt(432)*2)**2).\nAnswer: -10800 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 62.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**2)\/((o**(-11)*o)\/o*o)*(o\/o**(-2))\/(o\/o**(-2\/19)))**17 assuming o is positive.\nAnswer: o**(3519\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(5) - sqrt(5))*-5)**2 + 5 + 1.\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 143975301 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/6)\/((-1932)\/(-184))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*7138\nAnswer: -14276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 478 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109595 is divided by 124.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (824\/204 - 4)\/(4\/(-12)). Let m = 411\/64 - 77625\/11968. Let g = b + m. Do g and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9049457 millimeters to meters.\nAnswer: 0.0009049457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -639 (b) 2\/9 (c) 940 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w + 28. Let g(m) = -15*m + 57. Let d(p) = 6*g(p) - 11*s(p). Let t be d(13). Which is the second biggest value? (a) 6 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1367 + 3719. Suppose n + c = 5*n. Suppose -6*z + 4*f = -4*z - n, -5*f = 2*z - 588. What is the remainder when z is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6417042637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 438, 3 in ascending order.\nAnswer: -1\/2, 3, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.870189 litres in millilitres?\nAnswer: 870.189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/(-14) + -8 + -1*(-8)\/2. Let u = -13 - -6. Let v be (u + 2)*(-1 - -2). Sort c, -1.7, v in increasing order.\nAnswer: v, -1.7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.32 - -0.17. Let h = -0.55 - v. Which is the second smallest value? (a) 0.4 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 82 = 2*g - q, 3*g - 2*q - 123 = 0. Calculate the remainder when 91 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26632*v + 73130 wrt v?\nAnswer: 26632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*a - 297 = 0, -4*c - 4*a = c - 493. Let j = -14106 + 14132. Calculate the remainder when c is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51323 - 362*m + 2035*m - 51323 to j*m + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*l - 92 + 667. Solve s + 5*v = -0*s + l, -s - 4*v = -20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 7*g - 7. Let p = 10 + -16. Let m be z(p). Let x(r) = -17*r + 1. What are the prime factors of x(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -297 - -301. Solve -t = -3*t + m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gel when three letters picked without replacement from bleglllbellllx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -151683?\nAnswer: 151688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/60 + g**4\/24 + 7*g**3 - 6*g**2. Let t be a(0). Let m = -7 + t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 25776 = -d. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383226088?\nAnswer: 2, 7, 6843323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148044*v**3 - 7*v**2 + 4*v + 1421979 wrt v?\nAnswer: 888264*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}